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Volumn 123, Issue 4, 2006, Pages 831-859

A simple discrete model of Brownian motors: Time-periodic Markov chains

Author keywords

Brownian motor; Circulation; Detailed balance; Entropy production; Fluctuation theorem; Periodical reversibility; Time periodic Markov chain

Indexed keywords


EID: 33747669402     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9099-6     Document Type: Article
Times cited : (12)

References (36)
  • 1
    • 0031003997 scopus 로고    scopus 로고
    • Thermodynamics and kinetics of a Brownian motor
    • R. D. Astumian, Thermodynamics and kinetics of a Brownian motor. Science 276:917-922 (1997).
    • (1997) Science , vol.276 , pp. 917-922
    • Astumian, R.D.1
  • 2
    • 11744379062 scopus 로고
    • Fluctuation driven ratchets: Molecular motors
    • R. D. Astumian and M. Bier, Fluctuation driven ratchets: Molecular motors. Phys. Rev. Lett. 72:1766-1769 (1994).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1766-1769
    • Astumian, R.D.1    Bier, M.2
  • 4
    • 0032002876 scopus 로고    scopus 로고
    • Stochastic resonance and ratchets-new manifestations
    • V. Berdichevsky, and M. Gitterman, Stochastic resonance and ratchets-new manifestations. Physica A 249:88-95 (1998).
    • (1998) Physica A , vol.249 , pp. 88-95
    • Berdichevsky, V.1    Gitterman, M.2
  • 6
    • 0038871925 scopus 로고    scopus 로고
    • Brownian ratchets in physics and biology
    • M. Bier, Brownian ratchets in physics and biology. Contemporary Phys. 38(6), 371-379 (1997).
    • (1997) Contemporary Phys. , vol.38 , Issue.6 , pp. 371-379
    • Bier, M.1
  • 8
    • 0000806622 scopus 로고
    • Equilibrium microstates which generate second law violating steady states
    • D. J. Evans, and D. J. Searles, Equilibrium microstates which generate second law violating steady states. Phys. Rev. E 50(2), 1645-1648 (1994).
    • (1994) Phys. Rev. E , vol.50 , Issue.2 , pp. 1645-1648
    • Evans, D.J.1    Searles, D.J.2
  • 9
    • 0036864627 scopus 로고    scopus 로고
    • The fluctuation theorem
    • D. J. Evans and D. J. Searles, The fluctuation theorem. Adv. Phys. 51(7), 1529-1585 (2002).
    • (2002) Adv. Phys. , vol.51 , Issue.7 , pp. 1529-1585
    • Evans, D.J.1    Searles, D.J.2
  • 10
    • 17044421499 scopus 로고
    • Dynamical ensembles in stationary states
    • G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in stationary states. J. Statist. Phys. 80: 931-970 (1995).
    • (1995) J. Statist. Phys. , vol.80 , pp. 931-970
    • Gallavotti, G.1    Cohen, E.G.D.2
  • 12
    • 0343775871 scopus 로고    scopus 로고
    • Game theory: Losing strategies can win by Parrondo's paradox
    • G. P. Harmer and D. Abbott, Game theory: Losing strategies can win by Parrondo's paradox. Nature 402:864 (1999).
    • (1999) Nature , vol.402 , pp. 864
    • Harmer, G.P.1    Abbott, D.2
  • 13
    • 0008518277 scopus 로고    scopus 로고
    • Parrondo's paradoxical games and the discrete Brownian ratchet
    • In Proc. 2nd Int. Conf. eds Abbott, D. and Kish, L. B., Melville, N.Y, American Institute of Physics
    • G. P. Harmer, D. Abbott, P. G. Taylor and J. M. Parrondo, Parrondo's paradoxical games and the discrete Brownian ratchet. In Proc. 2nd Int. Conf. Unsolved Problems of Noise and Fluctuations (eds Abbott, D. and Kish, L. B.), 189-200; Melville, N.Y, American Institute of Physics 2000.
    • (2000) Unsolved Problems of Noise and Fluctuations , pp. 189-200
    • Harmer, G.P.1    Abbott, D.2    Taylor, P.G.3    Parrondo, J.M.4
  • 14
    • 0142053643 scopus 로고
    • On the construction of a time-reversed Markoff process
    • H. Hasegawa, On the construction of a time-reversed Markoff process, Prog. Theor. Phys. 55:90-105 (1976);
    • (1976) Prog. Theor. Phys. , vol.55 , pp. 90-105
    • Hasegawa, H.1
  • 15
    • 0041923467 scopus 로고
    • Variational principle for non-equilibrium states and the Onsager-Machlup formula
    • Variational principle for non-equilibrium states and the Onsager-Machlup formula, Prog. Theor. Phys. 56, 44-60 (1976);
    • (1976) Prog. Theor. Phys. , vol.56 , pp. 44-60
  • 16
    • 0038953894 scopus 로고
    • Thermodynamic properties of non-equilibrium states subject to Fokker-Planck equations
    • Thermodynamic properties of non-equilibrium states subject to Fokker-Planck equations, Prog. Theor. Phys. 57:1523-1537 (1977);
    • (1977) Prog. Theor. Phys. , vol.57 , pp. 1523-1537
  • 17
    • 11444252122 scopus 로고
    • Variational approach in studies with Fokker-Planck equations
    • Variational approach in studies with Fokker-Planck equations, Prog. Theor. Phys. 58, 128-146 (1977).
    • (1977) Prog. Theor. Phys. , vol.58 , pp. 128-146
  • 18
    • 0035285828 scopus 로고    scopus 로고
    • Stochastic resonance in two-state Markov chains
    • P. Imkeller and I. Pavlyukevich, Stochastic resonance in two-state Markov chains. Arch. Math. 77:107-115 (2001).
    • (2001) Arch. Math. , vol.77 , pp. 107-115
    • Imkeller, P.1    Pavlyukevich, I.2
  • 19
    • 0034311689 scopus 로고    scopus 로고
    • Entropy production and information gain in Axiom-A systems
    • D. Q. Jiang, M. Qian and M. P. Qian, Entropy production and information gain in Axiom-A systems. Commun. Math. Phys. 214(2), 389-409 (2000).
    • (2000) Commun. Math. Phys. , vol.214 , Issue.2 , pp. 389-409
    • Jiang, D.Q.1    Qian, M.2    Qian, M.P.3
  • 21
    • 0242556757 scopus 로고    scopus 로고
    • Entropy production fluctuations of finite Markov chains
    • D. Q. Jiang, M. Qian and F. X. Zhang, Entropy production fluctuations of finite Markov chains. J. Math. Phys. 44(9), 4176-4188 (2003).
    • (2003) J. Math. Phys. , vol.44 , Issue.9 , pp. 4176-4188
    • Jiang, D.Q.1    Qian, M.2    Zhang, F.X.3
  • 23
    • 0040120726 scopus 로고    scopus 로고
    • Fluctuation theorem for stochastic dynamics
    • J. Kurchan, Fluctuation theorem for stochastic dynamics. J. Phys. A: Math. Gen. 31: 3719-3729 (1998).
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 3719-3729
    • Kurchan, J.1
  • 24
    • 0033246864 scopus 로고    scopus 로고
    • A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
    • J. L. Lebowitz and H. Spohn, A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics. J. Statist. Phys. 95(1-2), 333-365 (1999).
    • (1999) J. Statist. Phys. , vol.95 , Issue.1-2 , pp. 333-365
    • Lebowitz, J.L.1    Spohn, H.2
  • 25
    • 5544237990 scopus 로고
    • Forced thermal ratchets
    • M. O. Magnasco, Forced thermal ratchets. Phys. Rev. Lett. 71:1477-1481 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1477-1481
    • Magnasco, M.O.1
  • 26
    • 26344479617 scopus 로고
    • Molecular combustion motors
    • M. O. Magnasco, Molecular combustion motors. Phys. Rev. Lett. 72:2656-2659 (1994).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2656-2659
    • Magnasco, M.O.1
  • 27
    • 0002567630 scopus 로고
    • Stochastic aspects of climatic transitions - Response to a periodic forcing
    • C. Nicolis, Stochastic aspects of climatic transitions - response to a periodic forcing. Tellus 34:1-9 (1982).
    • (1982) Tellus , vol.34 , pp. 1-9
    • Nicolis, C.1
  • 29
    • 34250233688 scopus 로고
    • Circulation for recurrent Markov chains. 2
    • M. P. Qian and M, Qian, Circulation for recurrent Markov chains. 2. Wahrsch. Verw. Gebiete 59:203-210 (1982).
    • (1982) Wahrsch. Verw. Gebiete , vol.59 , pp. 203-210
    • Qian, M.P.1    Qian, M.2
  • 30
    • 0004499101 scopus 로고
    • The entropy production and reversibility of Markov processes
    • M. P. Qian and M. Qian, The entropy production and reversibility of Markov processes. Scinence Bulletin 30(3), 165-167 (1985).
    • (1985) Scinence Bulletin , vol.30 , Issue.3 , pp. 165-167
    • Qian, M.P.1    Qian, M.2
  • 31
    • 0001503605 scopus 로고
    • The reversibility and the entropy production of Markov processes
    • M. P. Qian, M. Qian and G. L. Gong, The reversibility and the entropy production of Markov processes. Contemp. Math. 118:255-261 (1991).
    • (1991) Contemp. Math. , vol.118 , pp. 255-261
    • Qian, M.P.1    Qian, M.2    Gong, G.L.3
  • 32
    • 0002391224 scopus 로고
    • Circulations of Markov chains with continuous time and the probability interpretation of some determinants
    • M. P. Qian, C. Qian and M. Qian, Circulations of Markov chains with continuous time and the probability interpretation of some determinants. Sci. Sinica (Series A) 27(5), 470-481 (1984).
    • (1984) Sci. Sinica (Series A) , vol.27 , Issue.5 , pp. 470-481
    • Qian, M.P.1    Qian, C.2    Qian, M.3
  • 33
    • 0036179557 scopus 로고    scopus 로고
    • Brownian motors: Noisy transport far from equilibrium
    • P. Reimann, Brownian motors: noisy transport far from equilibrium. Physics Reports 361:57-265 (2002).
    • (2002) Physics Reports , vol.361 , pp. 57-265
    • Reimann, P.1
  • 34
    • 0030510906 scopus 로고    scopus 로고
    • Positivity of entropy production in nonequilibrium statistical mechanics
    • D. Ruelle, Positivity of entropy production in nonequilibrium statistical mechanics. J. Statist. Phys. 85(1-2), 1-23 (1996).
    • (1996) J. Statist. Phys. , vol.85 , Issue.1-2 , pp. 1-23
    • Ruelle, D.1
  • 35
    • 0000013996 scopus 로고
    • Network theory of microscopic and macroscopic behaviour of master equation systems
    • J. Schnakenberg, Network theory of microscopic and macroscopic behaviour of master equation systems. Rev. Modern Phys. 48(4), 571-585 (1976).
    • (1976) Rev. Modern Phys. , vol.48 , Issue.4 , pp. 571-585
    • Schnakenberg, J.1
  • 36


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