메뉴 건너뛰기




Volumn 43, Issue 4, 2006, Pages 1028-1043

Reversibility and entropy production of inhomogeneous Markov chains

Author keywords

Brownian motor; Inhomogeneous Markov chain; Instantaneous entropy production; Instantaneous reversibility; Rotation number

Indexed keywords


EID: 33947219837     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1165505205     Document Type: Article
Times cited : (18)

References (31)
  • 1
    • 0032664373 scopus 로고    scopus 로고
    • Algorithmic complexity and efficiency of a ratchet
    • ARIZMENDI, C. M. AND FAMILY, F. (1999). Algorithmic complexity and efficiency of a ratchet. Physica A 269, 285-292.
    • (1999) Physica A , vol.269 , pp. 285-292
    • ARIZMENDI, C.M.1    FAMILY, F.2
  • 2
    • 0031003997 scopus 로고    scopus 로고
    • Thermodynamics and kinetics of a Brownian motor
    • ASTUMIAN, R. D. (1997). Thermodynamics and kinetics of a Brownian motor. Science 276, 917-922.
    • (1997) Science , vol.276 , pp. 917-922
    • ASTUMIAN, R.D.1
  • 3
    • 11744379062 scopus 로고
    • Fluctuation driven ratchets: Molecular motors
    • ASTUMIAN, R. D. AND BIER, M. (1994). Fluctuation driven ratchets: molecular motors. Phys. Rev. Lett. 72, 1766-1769.
    • (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
    • BERDICHEVSKY, V. AND GITTERMAN, M. (1998). Stochastic resonance and ratchets - new manifestations. Physica A 249, 88-95.
    • (1998) Physica A , vol.249 , pp. 88-95
    • BERDICHEVSKY, V.1    GITTERMAN, M.2
  • 5
    • 0038871925 scopus 로고    scopus 로고
    • Brownian ratchets in physics and biology
    • BIER, M. (1997). Brownian ratchets in physics and biology. Contemp. Phys. 38, 371-379.
    • (1997) Contemp. Phys , vol.38 , pp. 371-379
    • BIER, M.1
  • 7
    • 0030527726 scopus 로고    scopus 로고
    • Numerical and analytical studies of nonequilibrium fluctuation-induced transport processes
    • ELSTON, T. C. AND DOERING, C. R. (1996). Numerical and analytical studies of nonequilibrium fluctuation-induced transport processes. J. Statist. Phys. 83, 359-383.
    • (1996) J. Statist. Phys , vol.83 , pp. 359-383
    • ELSTON, T.C.1    DOERING, C.R.2
  • 9
    • 33747669402 scopus 로고    scopus 로고
    • A simple discrete model of Brownian motors: Time-periodic Markov chains
    • GE, H., JIANG, D. Q. AND QIAN, M. (2006). A simple discrete model of Brownian motors: time-periodic Markov chains. J. Statist. Phys. 123, 831-859.
    • (2006) J. Statist. Phys , vol.123 , pp. 831-859
    • GE, H.1    JIANG, D.Q.2    QIAN, M.3
  • 10
    • 0142053643 scopus 로고
    • On the construction of a time-reversed Markoff process
    • HASEGAWA, H. (1976). On the construction of a time-reversed Markoff process. Progress Theoret. Phys. 55, 90-105.
    • (1976) Progress Theoret. Phys , vol.55 , pp. 90-105
    • HASEGAWA, H.1
  • 11
    • 0041923467 scopus 로고
    • Variational principle for non-equilibrium states and the Onsager-Machlup formula
    • HASEGAWA, H. (1976). Variational principle for non-equilibrium states and the Onsager-Machlup formula. Progress Theoret. Phys. 56, 44-60.
    • (1976) Progress Theoret. Phys , vol.56 , pp. 44-60
    • HASEGAWA, H.1
  • 12
    • 0038953894 scopus 로고
    • Thermodynamic properties of non-equilibrium states subject to Fokker-Planck equations
    • HASEGAWA, H. (1977). Thermodynamic properties of non-equilibrium states subject to Fokker-Planck equations. Progress Theoret. Phys. 57, 1523-1537.
    • (1977) Progress Theoret. Phys , vol.57 , pp. 1523-1537
    • HASEGAWA, H.1
  • 13
    • 11444252122 scopus 로고
    • Variational approach in studies with Fokker-Planck equations
    • HASEGAWA, H. (1977). Variational approach in studies with Fokker-Planck equations. Progress Theoret. Phys. 58, 128-146.
    • (1977) Progress Theoret. Phys , vol.58 , pp. 128-146
    • HASEGAWA, H.1
  • 15
    • 26944490533 scopus 로고    scopus 로고
    • Mathematical Theory of Nonequilibrium Steady States. On the Frontier of Probability and Dynamical Systems
    • Springer, Berlin
    • JIANG, D. Q., QIAN, M. AND QIAN, M. P. (2004). Mathematical Theory of Nonequilibrium Steady States. On the Frontier of Probability and Dynamical Systems (Lecture Notes Math. 1833). Springer, Berlin.
    • (2004) Lecture Notes Math. 1833
    • JIANG, D.Q.1    QIAN, M.2    QIAN, M.P.3
  • 17
    • 33947212229 scopus 로고    scopus 로고
    • The property of transition matrix of nonhomogeneous Markov chains
    • in Chinese
    • LIN, X., ZHANG, H. J. AND HOU, Z. T. (2000). The property of transition matrix of nonhomogeneous Markov chains. J. Changsha Railway Univ. 18, 86-90 (in Chinese).
    • (2000) J. Changsha Railway Univ , vol.18 , pp. 86-90
    • LIN, X.1    ZHANG, H.J.2    HOU, Z.T.3
  • 18
    • 5544237990 scopus 로고
    • Forced thermal ratchets
    • MAGNASCO, M. O. (1993). Forced thermal ratchets. Phys. Rev. Lett. 71, 1477-1481.
    • (1993) Phys. Rev. Lett , vol.71 , pp. 1477-1481
    • MAGNASCO, M.O.1
  • 19
    • 26344479617 scopus 로고
    • Molecular combustion motors
    • MAGNASCO, M. O. (1994). Molecular combustion motors. Phys. Rev. Lett. 72, 2656-2659.
    • (1994) Phys. Rev. Lett , vol.72 , pp. 2656-2659
    • MAGNASCO, M.O.1
  • 21
    • 34250233688 scopus 로고
    • Circulation for recurrent Markov chains
    • QIAN, M. P. AND QIAN, M. (1982). Circulation for recurrent Markov chains. Z. Wahrscheinlichkeitsth. 59, 203-210.
    • (1982) Z. Wahrscheinlichkeitsth , vol.59 , pp. 203-210
    • QIAN, M.P.1    QIAN, M.2
  • 22
    • 33747717316 scopus 로고
    • The entropy production and reversibility of Markov processes
    • QIAN, M. P. AND QIAN, M. (1985). The entropy production and reversibility of Markov processes. Sci. Bull. 30, 165-167.
    • (1985) Sci. Bull , vol.30 , pp. 165-167
    • QIAN, M.P.1    QIAN, M.2
  • 23
    • 0001503605 scopus 로고
    • The reversibility and the entropy production of Markov processes
    • QIAN, M. P., QIAN, M. AND GONG, G. L. (1991). The reversibility and the entropy production of Markov processes. Contemp. Math. 118, 255-261.
    • (1991) Contemp. Math , vol.118 , pp. 255-261
    • QIAN, M.P.1    QIAN, M.2    GONG, G.L.3
  • 24
    • 0002391224 scopus 로고
    • Circulations of Markov chains with continuous time and the probability interpretation of some determinants
    • QIAN, M. P., QIAN, C. AND QIAN, M. (1984). Circulations of Markov chains with continuous time and the probability interpretation of some determinants. Sci. Sinica A 27, 470-481.
    • (1984) Sci. Sinica A , vol.27 , pp. 470-481
    • QIAN, M.P.1    QIAN, C.2    QIAN, M.3
  • 25
    • 0036179557 scopus 로고    scopus 로고
    • Brownian motors: Noisy transport far from equilibrium
    • REIMANN, P. (2002). Brownian motors: noisy transport far from equilibrium. Phys. Rep. 361, 57-265.
    • (2002) Phys. Rep , vol.361 , pp. 57-265
    • REIMANN, P.1
  • 26
    • 0000013996 scopus 로고
    • Network theory of microscopic and macroscopic behavior of master equation systems
    • SCHNAKENBERG, J. (1976). Network theory of microscopic and macroscopic behavior of master equation systems. Rev. Mod. Phys. 48, 571-585.
    • (1976) Rev. Mod. Phys , vol.48 , pp. 571-585
    • SCHNAKENBERG, J.1
  • 27
    • 33947203586 scopus 로고    scopus 로고
    • WALTERS, P. (1982). An Introduction to Ergodic Theory (Grad. Texts Math. 79). Springer, New York.
    • WALTERS, P. (1982). An Introduction to Ergodic Theory (Grad. Texts Math. 79). Springer, New York.
  • 28
    • 0037459899 scopus 로고    scopus 로고
    • A robust numerical algorithm for studying biomolecular transport processes
    • WANG, H., PESKIN, C. S. AND ELSTON, T. C. (2003). A robust numerical algorithm for studying biomolecular transport processes. J. Theoret. Biol. 221, 491-511.
    • (2003) J. Theoret. Biol , vol.221 , pp. 491-511
    • WANG, H.1    PESKIN, C.S.2    ELSTON, T.C.3
  • 29
    • 24144453060 scopus 로고    scopus 로고
    • From continuum Fokker-Planck models to discrete kinetic models
    • XING, J., WANG, H. Y. AND OSTER, G. (2005). From continuum Fokker-Planck models to discrete kinetic models. Biophys. J. 89, 1551-1563.
    • (2005) Biophys. J , vol.89 , pp. 1551-1563
    • XING, J.1    WANG, H.Y.2    OSTER, G.3
  • 31
    • 11444252300 scopus 로고    scopus 로고
    • Exclusion processes on groups: Entropy production density and reversibility
    • ZHANG, F. X. (2005). Exclusion processes on groups: entropy production density and reversibility. Physica A 348, 131-139.
    • (2005) Physica A , vol.348 , pp. 131-139
    • ZHANG, F.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.