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Volumn 131, Issue 4, 2008, Pages 675-689

Generalized Jarzynski's equality of inhomogeneous multidimensional diffusion processes

Author keywords

Feynman Kac formula; Hatano Sasa equality; Inhomogeneous diffusion processes; Jarzynski's equality; Nonequilibrium thermodynamics

Indexed keywords


EID: 41849094402     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9520-4     Document Type: Article
Times cited : (27)

References (43)
  • 2
    • 0032023968 scopus 로고    scopus 로고
    • Nonequilibrium measurements of free energy differences for microscopically reversible Markovian systems
    • Crooks, G.E.: Nonequilibrium measurements of free energy differences for microscopically reversible Markovian systems. J. Stat. Phys. 90, 1481-1487 (1998)
    • (1998) J. Stat. Phys. , vol.90 , pp. 1481-1487
    • Crooks, G.E.1
  • 3
    • 0000765761 scopus 로고    scopus 로고
    • Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences
    • Crooks, G.E.: Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences. Phys. Rev. E 60, 2721-2726 (1999)
    • (1999) Phys. Rev. e , vol.60 , pp. 2721-2726
    • Crooks, G.E.1
  • 4
    • 0000186593 scopus 로고    scopus 로고
    • Path-ensemble averages in systems driven far from equilibrium
    • 3
    • Crooks, G.E.: Path-ensemble averages in systems driven far from equilibrium. Phys. Rev. E 61(3), 2361-2366 (2000)
    • (2000) Phys. Rev. e , vol.61 , pp. 2361-2366
    • Crooks, G.E.1
  • 8
    • 34249889299 scopus 로고    scopus 로고
    • Generalized Jarzynski's equality in inhomogeneous Markov chains
    • Ge, H., Qian, M.: Generalized Jarzynski's equality in inhomogeneous Markov chains. J. Math. Phys. 48, 053302 (2007)
    • (2007) J. Math. Phys. , vol.48 , pp. 053302
    • Ge, H.1    Qian, M.2
  • 9
    • 33747669402 scopus 로고    scopus 로고
    • A simple discrete model of Brownian motors: Time-periodic Markov chains
    • 4
    • Ge, H., Jiang, D.Q., Qian, M.: A simple discrete model of Brownian motors: time-periodic Markov chains. J. Stat. Phys. 123(4), 831-859 (2006)
    • (2006) J. Stat. Phys. , vol.123 , pp. 831-859
    • Ge, H.1    Jiang, D.Q.2    Qian, M.3
  • 10
    • 33947219837 scopus 로고    scopus 로고
    • Reversibility and entropy production of inhomogeneous Markov chains
    • 4
    • Ge, H., Jiang, D.Q., Qian, M.: Reversibility and entropy production of inhomogeneous Markov chains. J. Appl. Probab. 43(4), 1028-1043 (2006)
    • (2006) J. Appl. Probab. , vol.43 , pp. 1028-1043
    • Ge, H.1    Jiang, D.Q.2    Qian, M.3
  • 15
    • 18344406027 scopus 로고    scopus 로고
    • Steady-states thermodynamics of Langevin systems
    • Hatano, T., Sasa, S.: Steady-states thermodynamics of Langevin systems. Phys. Rev. Lett. 86, 3463-3466 (2001)
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3463-3466
    • Hatano, T.1    Sasa, S.2
  • 16
    • 0013895045 scopus 로고
    • Studies in irreversible thermodynamics IV. Diagrammatic representation of steady state fluxes for unimolecular systems
    • Hill, T.L.: Studies in irreversible thermodynamics IV. Diagrammatic representation of steady state fluxes for unimolecular systems. J. Theor. Biol. 10, 442-459 (1966)
    • (1966) J. Theor. Biol. , vol.10 , pp. 442-459
    • Hill, T.L.1
  • 19
    • 0016493897 scopus 로고
    • Stochastics of cycle completions (fluxes) in biochemical kinetic diagrams
    • Hill, T., Chen, Y.: Stochastics of cycle completions (fluxes) in biochemical kinetic diagrams. Proc. Natl. Acad. Sci. USA 72, 1291-1295 (1975)
    • (1975) Proc. Natl. Acad. Sci. USA , vol.72 , pp. 1291-1295
    • Hill, T.1    Chen, Y.2
  • 20
    • 0035957434 scopus 로고    scopus 로고
    • Free energy reconstruction from nonequilibrium single-molecule pulling experiments
    • 7
    • Hummer, G., Szabo, A.: Free energy reconstruction from nonequilibrium single-molecule pulling experiments. Proc. Natl. Acad. Sci. USA 98(7), 3658-3661 (2001)
    • (2001) Proc. Natl. Acad. Sci. USA , vol.98 , pp. 3658-3661
    • Hummer, G.1    Szabo, A.2
  • 21
    • 4243754128 scopus 로고    scopus 로고
    • Nonequilibrium equality for free energy differences
    • Jarzynski, C.: Nonequilibrium equality for free energy differences. Phys. Rev. Lett. 78, 2690-2693 (1997)
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 2690-2693
    • Jarzynski, C.1
  • 22
    • 4244116139 scopus 로고    scopus 로고
    • Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach
    • Jarzynski, C.: Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach. Phys. Rev. E 56, 5018-5035 (1997)
    • (1997) Phys. Rev. e , vol.56 , pp. 5018-5035
    • Jarzynski, C.1
  • 23
    • 0033245927 scopus 로고    scopus 로고
    • Microscopic analysis of Clausius-Duhem processes
    • Jarzynski, C.: Microscopic analysis of Clausius-Duhem processes. J. Stat. Phys. 96, 415-427 (1999)
    • (1999) J. Stat. Phys. , vol.96 , pp. 415-427
    • Jarzynski, C.1
  • 24
    • 0034341434 scopus 로고    scopus 로고
    • Hamiltonian derivation of a detailed fluctuation theorem
    • Jarzynski, C.: Hamiltonian derivation of a detailed fluctuation theorem. J. Stat. Phys. 98, 77-102 (2000)
    • (2000) J. Stat. Phys. , vol.98 , pp. 77-102
    • Jarzynski, C.1
  • 25
    • 33751526787 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., Qian, M.P.: Mathematical Theory of Nonequilibrium Steady States-On the Frontier of Probability and Dynamical Systems. Lect. Notes Math., vol. 1833. Springer, Berlin (2004)
    • (2004) Lect. Notes Math. , vol.1833
    • Jiang, D.Q.1    Qian, M.2    Qian, M.P.3
  • 29
    • 0037036070 scopus 로고    scopus 로고
    • Equilibrium information from nonequilibrium measurements in an experimental test of Jarzynski's equality
    • Liphardt, J., Dumont, S., Smith, S.B., Tinoco, I., Bustamante, C.: Equilibrium information from nonequilibrium measurements in an experimental test of Jarzynski's equality. Science 296, 1832-1835 (2002)
    • (2002) Science , vol.296 , pp. 1832-1835
    • Liphardt, J.1    Dumont, S.2    Smith, S.B.3    Tinoco, I.4    Bustamante, C.5
  • 32
    • 57249114484 scopus 로고    scopus 로고
    • Mathematical formalism for isothermal linear reversibility
    • Qian, H.: Mathematical formalism for isothermal linear reversibility. Proc. R. Soc. Lond. Ser. A 457, 1645-1655 (2001)
    • (2001) Proc. R. Soc. Lond. Ser. A , vol.457 , pp. 1645-1655
    • Qian, H.1
  • 33
    • 27744481288 scopus 로고    scopus 로고
    • Cycle kinetics, steady state thermodynamics and motors-a paradigm for living matter physics
    • Qian, H.: Cycle kinetics, steady state thermodynamics and motors-a paradigm for living matter physics. J. Phys. Condens. Matter 17, S3783-S3794 (2005)
    • (2005) J. Phys. Condens. Matter , vol.17
    • Qian, H.1
  • 34
    • 34250233688 scopus 로고
    • Circulation for recurrent Markov chains
    • Qian, M.P., Qian, M.: Circulation for recurrent Markov chains. Z. Wahrsch. Verw. Geb. 59, 203-210 (1982)
    • (1982) Z. Wahrsch. Verw. Geb. , vol.59 , pp. 203-210
    • Qian, M.P.1    Qian, M.2
  • 35
    • 33747717316 scopus 로고
    • The entropy production and reversibility of Markov processes
    • 3
    • Qian, M.P., Qian, M.: The entropy production and reversibility of Markov processes. Sci. Bull. 30(3), 165-167 (1985)
    • (1985) Sci. Bull. , vol.30 , pp. 165-167
    • Qian, M.P.1    Qian, M.2
  • 36
    • 0002391224 scopus 로고
    • Circulations of Markov chains with continuous time and the probability interpretation of some determinants
    • 5
    • Qian, M.P., Qian, C., Qian, M.: Circulations of Markov chains with continuous time and the probability interpretation of some determinants. Sci. Sin. (Ser. A) 27(5), 470-481 (1984)
    • (1984) Sci. Sin. (Ser. A) , vol.27 , pp. 470-481
    • Qian, M.P.1    Qian, C.2    Qian, M.3
  • 37
    • 0001503605 scopus 로고
    • The reversibility and the entropy production of Markov processes
    • Qian, M.P., Qian, M., Gong, G.L.: 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
  • 38
    • 21744432613 scopus 로고    scopus 로고
    • Kinetic characterization of heat bath and the energetics of thermal ratchet models
    • Sekimoto, K.: Kinetic characterization of heat bath and the energetics of thermal ratchet models. J. Phys. Soc. Jpn. 66, 1234-1237 (1997)
    • (1997) J. Phys. Soc. Jpn. , vol.66 , pp. 1234-1237
    • Sekimoto, K.1
  • 40
    • 0038542284 scopus 로고    scopus 로고
    • Stationary and transient work-fluctuation theorems for a dragged Brownian particle
    • van Zon, R., Cohen, E.G.D.: Stationary and transient work-fluctuation theorems for a dragged Brownian particle. Phys. Rev. E 67, 046102 (2003)
    • (2003) Phys. Rev. e , vol.67 , pp. 046102
    • Van Zon, R.1    Cohen, E.G.D.2
  • 41
    • 0142089219 scopus 로고    scopus 로고
    • Extension of the fluctuation theorem
    • van Zon, R., Cohen, E.G.D.: Extension of the fluctuation theorem. Phys. Rev. Lett. 91, 110601 (2003)
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 110601
    • Van Zon, R.1    Cohen, E.G.D.2
  • 42
    • 37649026988 scopus 로고    scopus 로고
    • Extended heat-fluctuation theorems for a system with deterministic and stochastic forces
    • van Zon, R., Cohen, E.G.D.: Extended heat-fluctuation theorems for a system with deterministic and stochastic forces. Phys. Rev. E 69, 056121 (2004)
    • (2004) Phys. Rev. e , vol.69 , pp. 056121
    • Van Zon, R.1    Cohen, E.G.D.2
  • 43
    • 67149141988 scopus 로고
    • 2 Peking University Press (in Chinese)
    • Zhang, Z.S.: Mathematical Analysis, vols. 1, 2, 3. Peking University Press (1991) (in Chinese)
    • (1991) Mathematical Analysis , vol.1-3
    • Zhang, Z.S.1


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