메뉴 건너뛰기




Volumn 65, Issue 5, 2002, Pages

Generalized quantum Fokker-Planck, diffusion, and Smoluchowski equations with true probability distribution functions

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; CORRELATION METHODS; DIFFUSION; FUNCTIONS; MARKOV PROCESSES; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; THERMAL EFFECTS;

EID: 41349106118     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.051106     Document Type: Article
Times cited : (33)

References (78)
  • 3
    • 36149027440 scopus 로고
    • M. Lax, Phys. Rev. 129, 2342 (1963); 145, 109 (1966); M. Lax and W.H. Louisell, IEEE J. Quantum Electron. QE3, 47 (1967); I.R. Senitzky, Phys. Rev. 119, 670 (1960); 124, 642 (1961).
    • (1963) Phys. Rev. , vol.129 , pp. 2342
    • Lax, M.1
  • 4
    • 36149027440 scopus 로고
    • M. Lax, Phys. Rev. 129, 2342 (1963); 145, 109 (1966); M. Lax and W.H. Louisell, IEEE J. Quantum Electron. QE3, 47 (1967); I.R. Senitzky, Phys. Rev. 119, 670 (1960); 124, 642 (1961).
    • (1966) Phys. Rev. , vol.145 , pp. 109
  • 5
    • 84916642627 scopus 로고
    • M. Lax, Phys. Rev. 129, 2342 (1963); 145, 109 (1966); M. Lax and W.H. Louisell, IEEE J. Quantum Electron. QE3, 47 (1967); I.R. Senitzky, Phys. Rev. 119, 670 (1960); 124, 642 (1961).
    • (1967) IEEE J. Quantum Electron. , vol.QE3 , pp. 47
    • Lax, M.1    Louisell, W.H.2
  • 6
    • 36149006827 scopus 로고
    • M. Lax, Phys. Rev. 129, 2342 (1963); 145, 109 (1966); M. Lax and W.H. Louisell, IEEE J. Quantum Electron. QE3, 47 (1967); I.R. Senitzky, Phys. Rev. 119, 670 (1960); 124, 642 (1961).
    • (1960) Phys. Rev. , vol.119 , pp. 670
    • Senitzky, I.R.1
  • 7
    • 0040106223 scopus 로고
    • M. Lax, Phys. Rev. 129, 2342 (1963); 145, 109 (1966); M. Lax and W.H. Louisell, IEEE J. Quantum Electron. QE3, 47 (1967); I.R. Senitzky, Phys. Rev. 119, 670 (1960); 124, 642 (1961).
    • (1961) Phys. Rev. , vol.124 , pp. 642
  • 9
    • 0003788378 scopus 로고
    • edited by S.H. Lin, A.A. Villayes, and F. Fujimura World Scientific, Singapore
    • G. Gangopadhyay and D.S. Ray, in Advances in Multiphoton Processes and Spectroscopy, edited by S.H. Lin, A.A. Villayes, and F. Fujimura (World Scientific, Singapore, 1992), Vol. 8; G. Gangopadhyay and D.S. Ray, Phys. Rev. A 46, 1507 (1992); J. Ray Chaudhuri, B. Deb, G. Gangopadhyay, and D.S. Ray, J. Phys. 831, 3859 (1998).
    • (1992) Advances in Multiphoton Processes and Spectroscopy , vol.8
    • Gangopadhyay, G.1    Ray, D.S.2
  • 10
    • 0000199235 scopus 로고
    • G. Gangopadhyay and D.S. Ray, in Advances in Multiphoton Processes and Spectroscopy, edited by S.H. Lin, A.A. Villayes, and F. Fujimura (World Scientific, Singapore, 1992), Vol. 8; G. Gangopadhyay and D.S. Ray, Phys. Rev. A 46, 1507 (1992); J. Ray Chaudhuri, B. Deb, G. Gangopadhyay, and D.S. Ray, J. Phys. 831, 3859 (1998).
    • (1992) Phys. Rev. A , vol.46 , pp. 1507
    • Gangopadhyay, G.1    Ray, D.S.2
  • 11
    • 0005789328 scopus 로고    scopus 로고
    • G. Gangopadhyay and D.S. Ray, in Advances in Multiphoton Processes and Spectroscopy, edited by S.H. Lin, A.A. Villayes, and F. Fujimura (World Scientific, Singapore, 1992), Vol. 8; G. Gangopadhyay and D.S. Ray, Phys. Rev. A 46, 1507 (1992); J. Ray Chaudhuri, B. Deb, G. Gangopadhyay, and D.S. Ray, J. Phys. 831, 3859 (1998).
    • (1998) J. Phys. , vol.831 , pp. 3859
    • Chaudhuri, J.R.1    Deb, B.2    Gangopadhyay, G.3    Ray, D.S.4
  • 12
    • 0000716234 scopus 로고
    • Y. Tanimura and R. Kubo, J. Phys. Soc. Jpn. 58, 1199 (1989); Y. Tanimura and P.G. Wolynes, Phys. Rev. A 43, 4131 (1991); V. Khidekel, Phys. Rev. E 52, 2510 (1995).
    • (1989) J. Phys. Soc. Jpn. , vol.58 , pp. 1199
    • Tanimura, Y.1    Kubo, R.2
  • 13
    • 0000877129 scopus 로고
    • Y. Tanimura and R. Kubo, J. Phys. Soc. Jpn. 58, 1199 (1989); Y. Tanimura and P.G. Wolynes, Phys. Rev. A 43, 4131 (1991); V. Khidekel, Phys. Rev. E 52, 2510 (1995).
    • (1991) Phys. Rev. A , vol.43 , pp. 4131
    • Tanimura, Y.1    Wolynes, P.G.2
  • 14
    • 0005901693 scopus 로고
    • Y. Tanimura and R. Kubo, J. Phys. Soc. Jpn. 58, 1199 (1989); Y. Tanimura and P.G. Wolynes, Phys. Rev. A 43, 4131 (1991); V. Khidekel, Phys. Rev. E 52, 2510 (1995).
    • (1995) Phys. Rev. E , vol.52 , pp. 2510
    • Khidekel, V.1
  • 16
    • 3743092451 scopus 로고
    • A.O. Caldeira and A.J. Leggett, Phys. Rev. Lett. 46, 211 (1981); Ann. Phys. (N.Y.) 149, 374 (1983); Physica A 121, 587 (1983).
    • (1983) Ann. Phys. (N.Y.) , vol.149 , pp. 374
  • 17
    • 3743092451 scopus 로고
    • A.O. Caldeira and A.J. Leggett, Phys. Rev. Lett. 46, 211 (1981); Ann. Phys. (N.Y.) 149, 374 (1983); Physica A 121, 587 (1983).
    • (1983) Physica A , vol.121 , pp. 587
  • 28
  • 29
    • 2242445002 scopus 로고    scopus 로고
    • W.H. Miller, H.D. Schwartz, and J.W. Tromp, J. Chem. Phys. 79, 4889 (1983); J. Cao and G.A. Voth, Ibid. 105, 6856 (1996); J. Liao and E. Pollak, ibid. 110, 80 (1999).
    • (1996) J. Chem. Phys. , vol.105 , pp. 6856
    • Cao, J.1    Voth, G.A.2
  • 30
    • 0002664983 scopus 로고    scopus 로고
    • W.H. Miller, H.D. Schwartz, and J.W. Tromp, J. Chem. Phys. 79, 4889 (1983); J. Cao and G.A. Voth, Ibid. 105, 6856 (1996); J. Liao and E. Pollak, ibid. 110, 80 (1999).
    • (1999) J. Chem. Phys. , vol.110 , pp. 80
    • Liao, J.1    Pollak, E.2
  • 31
    • 4243734374 scopus 로고
    • A.J. Bray and M.A. Moore, Phys. Rev. Lett. 49, 1545 (1982); S. Chakravarty, ibid. 49, 681 (1982); S. Chakravarty and A.J. Leggett, ibid. 52, 5 (1984).
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 1545
    • Bray, A.J.1    Moore, M.A.2
  • 32
    • 4243686035 scopus 로고
    • A.J. Bray and M.A. Moore, Phys. Rev. Lett. 49, 1545 (1982); S. Chakravarty, ibid. 49, 681 (1982); S. Chakravarty and A.J. Leggett, ibid. 52, 5 (1984).
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 681
    • Chakravarty, S.1
  • 33
    • 0002097104 scopus 로고
    • A.J. Bray and M.A. Moore, Phys. Rev. Lett. 49, 1545 (1982); S. Chakravarty, ibid. 49, 681 (1982); S. Chakravarty and A.J. Leggett, ibid. 52, 5 (1984).
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 5
    • Chakravarty, S.1    Leggett, A.J.2
  • 35
    • 4243637003 scopus 로고
    • U. Weiss, P.S. Riseborough, P. Hänggi, and H. Grabert, Phys. Lett. 104A, 10 (1984); M.P.A. Fisher and A.T. Dorsey, Phys. Rev. Lett. 54, 1609 (1985).
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 1609
    • Fisher, M.P.A.1    Dorsey, A.T.2
  • 36
    • 35949005847 scopus 로고
    • J. Ankerhold, H. Grabert, and G.L. Ingold, Phys. Rev. E 51, 4267 (1995); D. Cohen, Phys. Rev. Lett. 78, 2878 (1997); M. Grifoni, E. Paladino, and U. Weiss, Eur. Phys. J. B 10, 719 (1999); J. Wilkie, Phys. Rev. E 62, 8808 (2000).
    • (1995) Phys. Rev. E , vol.51 , pp. 4267
    • Ankerhold, J.1    Grabert, H.2    Ingold, G.L.3
  • 37
    • 4243817793 scopus 로고    scopus 로고
    • J. Ankerhold, H. Grabert, and G.L. Ingold, Phys. Rev. E 51, 4267 (1995); D. Cohen, Phys. Rev. Lett. 78, 2878 (1997); M. Grifoni, E. Paladino, and U. Weiss, Eur. Phys. J. B 10, 719 (1999); J. Wilkie, Phys. Rev. E 62, 8808 (2000).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 2878
    • Cohen, D.1
  • 38
    • 0001100333 scopus 로고    scopus 로고
    • J. Ankerhold, H. Grabert, and G.L. Ingold, Phys. Rev. E 51, 4267 (1995); D. Cohen, Phys. Rev. Lett. 78, 2878 (1997); M. Grifoni, E. Paladino, and U. Weiss, Eur. Phys. J. B 10, 719 (1999); J. Wilkie, Phys. Rev. E 62, 8808 (2000).
    • (1999) Eur. Phys. J. B , vol.10 , pp. 719
    • Grifoni, M.1    Paladino, E.2    Weiss, U.3
  • 39
    • 0034513135 scopus 로고    scopus 로고
    • J. Ankerhold, H. Grabert, and G.L. Ingold, Phys. Rev. E 51, 4267 (1995); D. Cohen, Phys. Rev. Lett. 78, 2878 (1997); M. Grifoni, E. Paladino, and U. Weiss, Eur. Phys. J. B 10, 719 (1999); J. Wilkie, Phys. Rev. E 62, 8808 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 8808
    • Wilkie, J.1
  • 40
    • 33745014742 scopus 로고
    • E. Wigner, Phys. Rev. 40, 749 (1932); M. Hillery, R.F. O'Connell, M.O. Scully, and E.P. Wigner, Phys. Rep. 106, 121 (1984).
    • (1932) Phys. Rev. , vol.40 , pp. 749
    • Wigner, E.1
  • 44
    • 0033245934 scopus 로고    scopus 로고
    • B.C. Bag, S. Chaudhuri, J. Ray Chaudhuri, and D.S. Ray, Physica D 96, 47 (1999); B.C. Bag and D.S. Ray, J. Stat. Phys. 96, 271 (1999).
    • (1999) J. Stat. Phys. , vol.96 , pp. 271
    • Bag, B.C.1    Ray, D.S.2
  • 46
    • 0034271162 scopus 로고    scopus 로고
    • B.C. Bag and D.S. Ray, Phys. Rev. E 61, 3223 (2000); 62, 4409 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 4409
  • 47
    • 0001656407 scopus 로고
    • C. Zerbe and P. Hänggi, Phys. Rev. E 52, 1533 (1995); J.J. Halliwell and T. Yu, Phys. Rev. D 53, 2012 (1996).
    • (1995) Phys. Rev. E , vol.52 , pp. 1533
    • Zerbe, C.1    Hänggi, P.2
  • 48
    • 0000105451 scopus 로고    scopus 로고
    • C. Zerbe and P. Hänggi, Phys. Rev. E 52, 1533 (1995); J.J. Halliwell and T. Yu, Phys. Rev. D 53, 2012 (1996).
    • (1996) Phys. Rev. D , vol.53 , pp. 2012
    • Halliwell, J.J.1    Yu, T.2
  • 49
    • 0003464004 scopus 로고    scopus 로고
    • Far From Equilibrium Phase Transition, edited by L. Garrido Springer, Berlin
    • H. Risken and K. Vogel, in Far From Equilibrium Phase Transition, Vol. 319 of Lecture Notes in Physics, edited by L. Garrido (Springer, Berlin, 1988).
    • (1988) Lecture Notes in Physics , vol.319
    • Risken, H.1    Vogel, K.2
  • 50
    • 4244183111 scopus 로고
    • W.H. Zurek and J.P. Paz, Phys. Rev. Lett. 72, 2508 (1994); S. Habib, K. Shizume, and W.H. Zurek, ibid. 80, 4361 (1998).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2508
    • Zurek, W.H.1    Paz, J.P.2
  • 53
    • 0003464004 scopus 로고    scopus 로고
    • Stochastic Processes in Nonequilibrium Systems, edited by L. Garrido, P. Segler, and P. J. Shepherd Springer, Berlin
    • R.M. Mazo, in Stochastic Processes in Nonequilibrium Systems, Vol. 84 of Lecture Notes in Physics edited by L. Garrido, P. Segler, and P. J. Shepherd (Springer, Berlin, 1978).
    • (1978) Lecture Notes in Physics , vol.84
    • Mazo, R.M.1
  • 56
    • 0003464004 scopus 로고    scopus 로고
    • Computational Field Theory and Pattern Formation, edited by P. L. Garrido and J. Marro Springer, Berlin
    • R. Toral, in Computational Field Theory and Pattern Formation, Vol. 448 of Lecture Notes in Physics, edited by P. L. Garrido and J. Marro (Springer, Berlin, 1995).
    • (1995) Lecture Notes in Physics , vol.448
    • Toral, R.1
  • 58
    • 0001031556 scopus 로고
    • J.M. Sancho, M. San Miguel, S.L. Katz, and J.D. Gunton, Phys. Rev. A 26, 1589 (1982); R.F. Fox, ibid. 43, 2649 (1991); R.L. Honeycutt, ibid. 45, 600 (1992); 45, 604 (1992)
    • (1991) Phys. Rev. A , vol.43 , pp. 2649
    • Fox, R.F.1
  • 59
    • 35949005624 scopus 로고
    • J.M. Sancho, M. San Miguel, S.L. Katz, and J.D. Gunton, Phys. Rev. A 26, 1589 (1982); R.F. Fox, ibid. 43, 2649 (1991); R.L. Honeycutt, ibid. 45, 600 (1992); 45, 604 (1992)
    • (1992) Phys. Rev. A , vol.45 , pp. 600
    • Honeycutt, R.L.1
  • 60
    • 5544253547 scopus 로고
    • J.M. Sancho, M. San Miguel, S.L. Katz, and J.D. Gunton, Phys. Rev. A 26, 1589 (1982); R.F. Fox, ibid. 43, 2649 (1991); R.L. Honeycutt, ibid. 45, 600 (1992); 45, 604 (1992)
    • (1992) Phys. Rev. A , vol.45 , pp. 604
  • 61
    • 33646985277 scopus 로고    scopus 로고
    • D. Banerjee, B.C. Bag, S.K, Banik, and D.S. Ray (unpublished)
    • D. Banerjee, B.C. Bag, S.K, Banik, and D.S. Ray (unpublished).
  • 75
    • 0003464004 scopus 로고    scopus 로고
    • Nonlinear Physics of Complex Systems: Current Status and Future Trends, edited by J. Parisi, S. C. Müller, and W. Zimmermann Springer, Berlin
    • P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems: Current Status and Future Trends, Vol. 476 of Lecture Notes in Physics, edited by J. Parisi, S. C. Müller, and W. Zimmermann (Springer, Berlin, 1996).
    • (1996) Lecture Notes in Physics , vol.476
    • Hänggi, P.1    Bartussek, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.