메뉴 건너뛰기




Volumn 68, Issue 4 1, 2003, Pages 411111-4111112

Drift by dichotomous Markov noise

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BROWNIAN MOVEMENT; DIFFERENTIAL EQUATIONS; GAUSSIAN NOISE (ELECTRONIC); MARKOV PROCESSES; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; STATISTICAL MECHANICS;

EID: 0346934866     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (22)

References (80)
  • 3
    • 0001602403 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1920) Z. Phys. , vol.2 , pp. 244
    • Furth, R.1
  • 4
    • 0001602403 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1921) Proc. London Math. Soc. , vol.20 , pp. 196
    • Taylor, G.I.1
  • 5
    • 0001229778 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1951) Quart. J. Mech. Appl. Math. , vol.4 , pp. 129
    • Goldstein, S.1
  • 6
    • 0346407839 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1954) J. Phys. Soc. Jpn. , vol.9 , pp. 316
    • Anderson, P.W.1
  • 7
    • 70349464599 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1954) J. Phys. Soc. Jpn. , vol.9 , pp. 935
    • Kubo, R.1
  • 8
    • 33947565881 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1955) J. Phys. Chem. , vol.59 , pp. 416
    • Giddings, J.C.1    Eyring, H.2
  • 9
    • 51849114065 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1959) J. Phys. Oceanogr. , vol.6 , pp. 66
    • Thacker, W.C.1
  • 10
    • 36849106029 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1967) J. Math. Phys. , vol.8 , pp. 547
    • McKean, H.P.1
  • 11
    • 0001522058 scopus 로고
    • R. Furth, Z. Phys. 2, 244 (1920); G.I. Taylor, Proc. London Math. Soc. 20, 196 (1921); S. Goldstein, Quart. J. Mech. Appl. Math. 4, 129 (1951); P.W. Anderson, J. Phys. Soc. Jpn. 9, 316 (1954); R. Kubo, ibid. 9, 935 (1954); J.C. Giddings and H. Eyring, J. Phys. Chem. 59, 416 (1955); W.C. Thacker, J. Phys. Oceanogr. 6, 66 (1959); H.P. McKean, J. Math. Phys. 8, 547 (1967); B. Gaveau, T. Jacobson, M. Kac, and L.S. Schulman, Phys. Rev. Lett. 53, 419 (1984).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 419
    • Gaveau, B.1    Jacobson, T.2    Kac, M.3    Schulman, L.S.4
  • 12
    • 36549101924 scopus 로고    scopus 로고
    • J.M. Sancho, J. Math. Phys. 25, 354 (1984); P. Jung, in Stochastic Dynamics, edited by L. Schimansky-Geier and T. Poschel (Berlin, Springer-Verlag, 1997), p. 23; V. Balakrishnan and C. Van den Broeck, Phys. Rev. E 65, 012101 (2001).
    • (1984) J. Math. Phys. , vol.25 , pp. 354
    • Sancho, J.M.1
  • 13
    • 36549101924 scopus 로고    scopus 로고
    • edited by L. Schimansky-Geier and T. Poschel (Berlin, Springer-Verlag
    • J.M. Sancho, J. Math. Phys. 25, 354 (1984); P. Jung, in Stochastic Dynamics, edited by L. Schimansky-Geier and T. Poschel (Berlin, Springer-Verlag, 1997), p. 23; V. Balakrishnan and C. Van den Broeck, Phys. Rev. E 65, 012101 (2001).
    • (1997) Stochastic Dynamics , pp. 23
    • Jung, P.1
  • 14
    • 41349100421 scopus 로고    scopus 로고
    • J.M. Sancho, J. Math. Phys. 25, 354 (1984); P. Jung, in Stochastic Dynamics, edited by L. Schimansky-Geier and T. Poschel (Berlin, Springer-Verlag, 1997), p. 23; V. Balakrishnan and C. Van den Broeck, Phys. Rev. E 65, 012101 (2001).
    • (2001) Phys. Rev. E , vol.65 , pp. 012101
    • Balakrishnan, V.1    Van den Broeck, C.2
  • 16
    • 0001412496 scopus 로고    scopus 로고
    • Seunghwan Kim, Seon Hee Park, and C.S. Ryu, Phys. Rev. E 58, 7994 (1998) ; C. Van den Broeck and R. Kawai, ibid. 57, 3866 (1998); S. Guillouzic and I. L'Heureux, ibid. 55, 5060 (1997).
    • (1998) Phys. Rev. E , vol.58 , pp. 7994
    • Kim, S.1    Park, S.H.2    Ryu, C.S.3
  • 17
    • 0000701880 scopus 로고    scopus 로고
    • Seunghwan Kim, Seon Hee Park, and C.S. Ryu, Phys. Rev. E 58, 7994 (1998) ; C. Van den Broeck and R. Kawai, ibid. 57, 3866 (1998); S. Guillouzic and I. L'Heureux, ibid. 55, 5060 (1997).
    • (1998) Phys. Rev. E , vol.57 , pp. 3866
    • Van den Broeck, C.1    Kawai, R.2
  • 18
    • 0011577494 scopus 로고    scopus 로고
    • Seunghwan Kim, Seon Hee Park, and C.S. Ryu, Phys. Rev. E 58, 7994 (1998) ; C. Van den Broeck and R. Kawai, ibid. 57, 3866 (1998); S. Guillouzic and I. L'Heureux, ibid. 55, 5060 (1997).
    • (1997) Phys. Rev. E , vol.55 , pp. 5060
    • Guillouzic, S.1    L'Heureux, I.2
  • 19
    • 0000616246 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1985) Phys. Rev. A , vol.31 , pp. 3523
    • Sancho, J.M.1
  • 20
    • 35949023397 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1986) Phys. Rev. A , vol.33 , pp. 2177
    • Masoliver, J.1    Lindenberg, K.2    West, B.J.3
  • 21
    • 5344243859 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1986) Phys. Rev. A , vol.34 , pp. 1481
  • 22
    • 0000901775 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1986) Phys. Rev. A , vol.34 , pp. 2351
  • 23
    • 0001009318 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1986) Phys. Rev. A , vol.34 , pp. 4532
    • Rodriguez, M.A.1    Pesquera, L.2
  • 24
    • 0012517313 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1987) Phys. Rev. A , vol.35 , pp. 3166
    • Doering, C.R.1
  • 25
    • 0000718498 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1988) Phys. Rev. A. , vol.38 , pp. 4213
    • Balakrishnan, V.1    Van den Broeck, C.2    Hänggi, P.3
  • 26
    • 4243118355 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1989) Z. Phys. B: Condens. Matter , vol.77 , pp. 485
    • Behn, U.1    Schiele, K.2
  • 27
    • 34548154728 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1991) Phys. Rev. A , vol.43 , pp. 4167
    • Kuś, M.1    Wajnryb, E.2    Wódkiewicz, K.3
  • 28
    • 34249753812 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1995) J. Stat. Phys. , vol.79 , pp. 669
    • Olarrea, J.1    Parrondo, J.M.R.2    De la Rubia, F.J.3
  • 29
    • 33646967379 scopus 로고
    • J.M. Sancho, Phys. Rev. A 31, 3523 (1985); J. Masoliver, K. Lindenberg, and B.J, West, ibid. 33, 2177 (1986); 34, 1481 (1986); 34, 2351 (1986);. M.A. Rodriguez and L. Pesquera, ibid. 34, 4532 (1986); C.R. Doering, ibid. 35, 3166 (1987); V. Balakrishnan, C. Van den Broeck, and P. Hänggi, ibid. 38, 4213 (1988); U. Behn and K. Schiele, Z. Phys. B: Condens. Matter 77, 485 (1989); M. Kuś, E. Wajnryb, and K. Wódkiewicz, Phys. Rev. A 43, 4167 (1991); J. Olarrea, J.M.R. Parrondo, and F.J. de la Rubia, J. Stat. Phys. 79, 669 (1995); 79, 683 (1995).
    • (1995) J. Stat. Phys. , vol.79 , pp. 683
  • 32
    • 0001455785 scopus 로고
    • C.R. Doering and J.C. Gadoua, Phys. Rev. Lett. 69, 2318 (1992); C. Van den Broeck, Phys. Rev. E 47, 4579 (1993).
    • (1993) Phys. Rev. E , vol.47 , pp. 4579
    • Van den Broeck, C.1
  • 33
    • 5544237990 scopus 로고
    • M. Magnasco, Phys. Rev. Lett. 71, 1477 (1993); R.D. Astumian and M. Bier, ibid. 72, 1766 (1994).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1477
    • Magnasco, M.1
  • 35
    • 0000230973 scopus 로고
    • Ch.R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994); J. Kula, T. Czernik, and J. Luczka, Phys. Lett. A 214, 14 (1996); J. Luczka, T. Czernik, and P. Hanggi, Phys. Rev. E 56, 3968 (1997).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2984
    • Doering, Ch.R.1    Horsthemke, W.2    Riordan, J.3
  • 36
    • 0002951405 scopus 로고    scopus 로고
    • Ch.R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994); J. Kula, T. Czernik, and J. Luczka, Phys. Lett. A 214, 14 (1996); J. Luczka, T. Czernik, and P. Hanggi, Phys. Rev. E 56, 3968 (1997).
    • (1996) Phys. Lett. A , vol.214 , pp. 14
    • Kula, J.1    Czernik, T.2    Luczka, J.3
  • 37
    • 4243409560 scopus 로고    scopus 로고
    • Ch.R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. 72, 2984 (1994); J. Kula, T. Czernik, and J. Luczka, Phys. Lett. A 214, 14 (1996); J. Luczka, T. Czernik, and P. Hanggi, Phys. Rev. E 56, 3968 (1997).
    • (1997) Phys. Rev. E , vol.56 , pp. 3968
    • Luczka, J.1    Czernik, T.2    Hanggi, P.3
  • 38
    • 0001568209 scopus 로고    scopus 로고
    • V. Berdichevsky and M. Gitterman, Phys. Rev. E 56, 6340 (1997); M.M. Millonas and D.R. Chialvo, ibid. 53, 2239 (1996); S.H. Park, S. Kim, and C.S. Ryu, Phys. Lett. A 225, 245 (1997).
    • (1997) Phys. Rev. E , vol.56 , pp. 6340
    • Berdichevsky, V.1    Gitterman, M.2
  • 39
    • 0000586341 scopus 로고    scopus 로고
    • V. Berdichevsky and M. Gitterman, Phys. Rev. E 56, 6340 (1997); M.M. Millonas and D.R. Chialvo, ibid. 53, 2239 (1996); S.H. Park, S. Kim, and C.S. Ryu, Phys. Lett. A 225, 245 (1997).
    • (1996) Phys. Rev. E , vol.53 , pp. 2239
    • Millonas, M.M.1    Chialvo, D.R.2
  • 40
    • 0000666235 scopus 로고    scopus 로고
    • V. Berdichevsky and M. Gitterman, Phys. Rev. E 56, 6340 (1997); M.M. Millonas and D.R. Chialvo, ibid. 53, 2239 (1996); S.H. Park, S. Kim, and C.S. Ryu, Phys. Lett. A 225, 245 (1997).
    • (1997) Phys. Lett. A , vol.225 , pp. 245
    • Park, S.H.1    Kim, S.2    Ryu, C.S.3
  • 42
    • 0004291893 scopus 로고
    • Methuen & Co., London
    • D.R. Cox, Renewal Theory (Methuen & Co., London, 1962); M. Khantha and V. Balakrishnan, Pramana 21, 111 (1983); C. Van den Broeck, in Noise and Nonlinear Phenomena in Nuclear Systems, edited by J.L. Munoz-Cobo and F.C. Difilippo (Plenum, 1989).
    • (1962) Renewal Theory
    • Cox, D.R.1
  • 43
    • 0000916808 scopus 로고
    • D.R. Cox, Renewal Theory (Methuen & Co., London, 1962); M. Khantha and V. Balakrishnan, Pramana 21, 111 (1983); C. Van den Broeck, in Noise and Nonlinear Phenomena in Nuclear Systems, edited by J.L. Munoz-Cobo and F.C. Difilippo (Plenum, 1989).
    • (1983) Pramana , vol.21 , pp. 111
    • Khantha, M.1    Balakrishnan, V.2
  • 44
    • 0041569440 scopus 로고
    • edited by J.L. Munoz-Cobo and F.C. Difilippo (Plenum)
    • D.R. Cox, Renewal Theory (Methuen & Co., London, 1962); M. Khantha and V. Balakrishnan, Pramana 21, 111 (1983); C. Van den Broeck, in Noise and Nonlinear Phenomena in Nuclear Systems, edited by J.L. Munoz-Cobo and F.C. Difilippo (Plenum, 1989).
    • (1989) Noise and Nonlinear Phenomena in Nuclear Systems
    • Van den Broeck, C.1
  • 48
    • 0033697289 scopus 로고    scopus 로고
    • Results for the case of white shot noise, which can be obtained as a limit of the dichotomous Markov noise, were discussed in T. Czernik and J. Luczka, Ann. Phys. (Leipzig) 9, 721 (2000).
    • (2000) Ann. Phys. (Leipzig) , vol.9 , pp. 721
    • Czernik, T.1    Luczka, J.2
  • 50
    • 0036179557 scopus 로고    scopus 로고
    • for an overview and references therein
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (2002) Phys. Rep. , vol.361 , pp. 57
    • Reimann, P.1
  • 51
    • 0035134717 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (2001) Phys. Rev. B , vol.63 , pp. 054515
    • Carapella, G.1
  • 52
    • 0035277264 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (2001) Phys. Rev. E , vol.63 , pp. 031111
    • Goldobin, E.1    Sterck, A.2    Koelle, D.3
  • 53
    • 0036179557 scopus 로고    scopus 로고
    • edited by J.A. Freund and T. Pöschel (Springer, Berlin)
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (2000) Lecture Notes in Physics , vol.557
    • Reimann, P.1
  • 54
    • 0038158647 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (2000) Phys. Rev. E , vol.61 , pp. 2257
    • Trias, E.1    Mazo, J.J.2    Falo, F.3    Orlando, T.P.4
  • 55
    • 0033529455 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1999) J. Phys. A , vol.32 , pp. 5795
    • Milstein, G.N.1    Tretyakov, M.V.2
  • 56
    • 0033558653 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1999) Europhys. Lett. , vol.45 , pp. 700
    • Falo, F.1    Martinez, P.J.2    Mazo, J.J.3    Cilla, S.4
  • 57
    • 0033595268 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1999) Nature (London) , vol.400 , pp. 337
    • Lee, C.-S.1    Janko, B.2    Derényi, I.3    Barabasi, A.-L.4
  • 58
    • 0008459099 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1998) Phys. Rev. E , vol.57 , pp. 5154
    • Plata, J.1
  • 59
    • 0032533120 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1998) Europhys. Lett. , vol.44 , pp. 416
    • Schreier, M.1    Reimann, P.2    Hänggi, P.3    Pollak, E.4
  • 60
    • 11744306629 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1473
    • Derényi, I.1    Lee, C.2    Barabasi, A.-L.3
  • 61
    • 0001429006 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1997) Phys. Rev. E , vol.56 , pp. 3976
    • Dialynas, T.E.1    Lindenberg, K.2    Tsironis, G.P.3
  • 62
    • 0036179557 scopus 로고    scopus 로고
    • edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics, (Springer, Berlin)
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1996) Nonlinear Physics of Complex Systems , vol.476
    • Hänggi, P.1    Bartussek, R.2
  • 63
    • 0030540288 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1996) Europhys. Lett. , vol.33 , pp. 267
    • Gorre, L.1    Ioannidis, E.2    Silberzan, P.3
  • 64
    • 51249164156 scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1995) Nuovo Cimento D , vol.17 , pp. 685
    • Doering, C.R.1
  • 65
    • 0036179557 scopus 로고    scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1994) J. Phys. I , vol.4 , pp. 1551
    • Ajdari, A.1    Mukamel, D.2    Peliti, L.3    Prost, J.4
  • 66
    • 77949402224 scopus 로고
    • P. Reimann, Phys. Rep. 361, 57 (2002) (for an overview and references therein); G. Carapella, Phys. Rev. B 63, 054515 (2001); E. Goldobin, A. Sterck, and D. Koelle, Phys. Rev. E 63, 031111 (2001); P. Reimann, in Lecture Notes in Physics, edited by J.A. Freund and T. Pöschel (Springer, Berlin, 2000), Vol. 557; E. Trias, J.J. Mazo, F. Falo, and T.P. Orlando, Phys. Rev. E 61, 2257 (2000); G.N. Milstein and M.V. Tretyakov, J. Phys. A 32, 5795 (1999); F. Falo, P.J. Martinez, J.J. Mazo, and S. Cilla, Europhys. Lett. 45, 700 (1999); C.-S. Lee, B. Janko, I. Derényi, and A.-L. Barabasi, Nature (London) 400, 337 (1999); J. Plata, Phys. Rev. E 57, 5154 (1998); M. Schreier, P. Reimann, P. Hänggi, and E. Pollak, Europhys. Lett. 44, 416 (1998); I. Derényi, C. Lee, and A.-L. Barabasi, Phys. Rev. Lett. 80, 1473 (1998); T.E. Dialynas, K. Lindenberg, and G.P. Tsironis, Phys. Rev. E 56, 3976 (1997); P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S.C. Müller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996); L. Gorre, E. Ioannidis, and P. Silberzan, Europhys. Lett. 33, 267 (1996); C.R. Doering, Nuovo Cimento D 17, 685 (1995); A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I 4, 1551 (1994); R. Bartussek, P. Hänggi, and J.G. Kissner, Europhys. Lett. 28, 459 (1994).
    • (1994) Europhys. Lett. , vol.28 , pp. 459
    • Bartussek, R.1    Hänggi, P.2    Kissner, J.G.3
  • 70
    • 41349096001 scopus 로고    scopus 로고
    • P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, M. Rubi, and A. Pérez-Madrid, Phys. Rev. Lett. 87, 010602 (2001); Phys. Rev. E 65, 031104 (2002).
    • (2002) Phys. Rev. E , vol.65 , pp. 031104
  • 72
    • 0032478065 scopus 로고    scopus 로고
    • M.B. Tarlie and R.D. Astumian, Proc. Natl. Acad. Sci. U.S.A. 95, 2039 (1998); V. Berdichevsky and M. Gitterman, Physica A 249, 88 (1998); S.L. Ginzburg and M.A. Pustovoit, Phys. Lett. A 291, 77 (2001); Phys. Rev. Lett. 80, 4840 (1998); J. Exp. Theor. Phys. 89, 801 (1999); O.V. Gerashchenko, S.L. Ginzburg, and M.A. Pustovoit, Eur. Phys. J. B 19, 101 (2001).
    • (1998) Proc. Natl. Acad. Sci. U.S.A. , vol.95 , pp. 2039
    • Tarlie, M.B.1    Astumian, R.D.2
  • 73
    • 0032002876 scopus 로고    scopus 로고
    • M.B. Tarlie and R.D. Astumian, Proc. Natl. Acad. Sci. U.S.A. 95, 2039 (1998); V. Berdichevsky and M. Gitterman, Physica A 249, 88 (1998); S.L. Ginzburg and M.A. Pustovoit, Phys. Lett. A 291, 77 (2001); Phys. Rev. Lett. 80, 4840 (1998); J. Exp. Theor. Phys. 89, 801 (1999); O.V. Gerashchenko, S.L. Ginzburg, and M.A. Pustovoit, Eur. Phys. J. B 19, 101 (2001).
    • (1998) Physica A , vol.249 , pp. 88
    • Berdichevsky, V.1    Gitterman, M.2
  • 74
    • 0012609047 scopus 로고    scopus 로고
    • M.B. Tarlie and R.D. Astumian, Proc. Natl. Acad. Sci. U.S.A. 95, 2039 (1998); V. Berdichevsky and M. Gitterman, Physica A 249, 88 (1998); S.L. Ginzburg and M.A. Pustovoit, Phys. Lett. A 291, 77 (2001); Phys. Rev. Lett. 80, 4840 (1998); J. Exp. Theor. Phys. 89, 801 (1999); O.V. Gerashchenko, S.L. Ginzburg, and M.A. Pustovoit, Eur. Phys. J. B 19, 101 (2001).
    • (2001) Phys. Lett. A , vol.291 , pp. 77
    • Ginzburg, S.L.1    Pustovoit, M.A.2
  • 75
    • 0001017755 scopus 로고    scopus 로고
    • M.B. Tarlie and R.D. Astumian, Proc. Natl. Acad. Sci. U.S.A. 95, 2039 (1998); V. Berdichevsky and M. Gitterman, Physica A 249, 88 (1998); S.L. Ginzburg and M.A. Pustovoit, Phys. Lett. A 291, 77 (2001); Phys. Rev. Lett. 80, 4840 (1998); J. Exp. Theor. Phys. 89, 801 (1999); O.V. Gerashchenko, S.L. Ginzburg, and M.A. Pustovoit, Eur. Phys. J. B 19, 101 (2001).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 4840
  • 76
    • 33646984084 scopus 로고    scopus 로고
    • M.B. Tarlie and R.D. Astumian, Proc. Natl. Acad. Sci. U.S.A. 95, 2039 (1998); V. Berdichevsky and M. Gitterman, Physica A 249, 88 (1998); S.L. Ginzburg and M.A. Pustovoit, Phys. Lett. A 291, 77 (2001); Phys. Rev. Lett. 80, 4840 (1998); J. Exp. Theor. Phys. 89, 801 (1999); O.V. Gerashchenko, S.L. Ginzburg, and M.A. Pustovoit, Eur. Phys. J. B 19, 101 (2001).
    • (1999) J. Exp. Theor. Phys. , vol.89 , pp. 801
  • 77
    • 0000735910 scopus 로고    scopus 로고
    • M.B. Tarlie and R.D. Astumian, Proc. Natl. Acad. Sci. U.S.A. 95, 2039 (1998); V. Berdichevsky and M. Gitterman, Physica A 249, 88 (1998); S.L. Ginzburg and M.A. Pustovoit, Phys. Lett. A 291, 77 (2001); Phys. Rev. Lett. 80, 4840 (1998); J. Exp. Theor. Phys. 89, 801 (1999); O.V. Gerashchenko, S.L. Ginzburg, and M.A. Pustovoit, Eur. Phys. J. B 19, 101 (2001).
    • (2001) Eur. Phys. J. B , vol.19 , pp. 101
    • Gerashchenko, O.V.1    Ginzburg, S.L.2    Pustovoit, M.A.3
  • 79
    • 33645082194 scopus 로고    scopus 로고
    • note
    • We shall assume that P(x) is unique, i.e., that the system is ergodic. The necessary condition for this (that there are not several attractors of the dynamics) will be clarified subsequently.,
  • 80
    • 33645066600 scopus 로고    scopus 로고
    • note
    • +(x).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.