메뉴 건너뛰기




Volumn 457, Issue 2011, 2001, Pages 1645-1655

Mathematical formalism for isothermal linear irreversibility

Author keywords

Brownian motion; Entropy production rate; Fluctuation dissipation relation; Reversibility; Stochastic macromolecular mechanics; Sweeping

Indexed keywords


EID: 57249114484     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2001.0811     Document Type: Article
Times cited : (49)

References (24)
  • 2
    • 49349121146 scopus 로고
    • Gaussian stochastic processes in physics
    • Fox, R. R. 1978 Gaussian stochastic processes in physics. Phys. Rep. 48, 180-283.
    • (1978) Phys. Rep. , vol.48 , pp. 180-283
    • Fox, R.R.1
  • 3
    • 0004466189 scopus 로고    scopus 로고
    • The entropy production and circulation of diffusion processes on manifold
    • Guo, M. Z., Qian, M. & Wang, Z. D. 1998 The entropy production and circulation of diffusion processes on manifold. Chin. Sci. Bull. 42, 982-985.
    • (1998) Chin. Sci. Bull. , vol.42 , pp. 982-985
    • Guo, M.Z.1    Qian, M.2    Wang, Z.D.3
  • 8
    • 0033246864 scopus 로고    scopus 로고
    • A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
    • Lebowitz, J. L. & Spohn, H. 2000 A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics. J. Stat. Phys. 95, 333-365.
    • (2000) J. Stat. Phys. , vol.95 , pp. 333-365
    • Lebowitz, J.L.1    Spohn, H.2
  • 10
    • 36149006492 scopus 로고
    • Reciprocal relations in irreversible processes. I
    • Onsager, L. 1931 Reciprocal relations in irreversible processes. I. Phys. Rev. 37, 405-426.
    • (1931) Phys. Rev. , vol.37 , pp. 405-426
    • Onsager, L.1
  • 11
    • 0000547916 scopus 로고    scopus 로고
    • Vector field formalism and analysis for a class of thermal ratchets
    • Qian, H. 1998 Vector field formalism and analysis for a class of thermal ratchets. Phys. Rev. Lett. 81, 3063-3066.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 3063-3066
    • Qian, H.1
  • 12
    • 0033918280 scopus 로고    scopus 로고
    • Single-particle tracking: Brownian dynamics of viscoelastic materials
    • Qian, H. 2000a Single-particle tracking: Brownian dynamics of viscoelastic materials. Biophys. J. 79, 137-143.
    • (2000) Biophys. J. , vol.79 , pp. 137-143
    • Qian, H.1
  • 13
    • 0034303054 scopus 로고    scopus 로고
    • A mathematical analysis for the Brownian dynamics of DNA tether
    • Qian, H. 2000b A mathematical analysis for the Brownian dynamics of DNA tether. J. Math. Biol. 41, 331-340.
    • (2000) J. Math. Biol. , vol.41 , pp. 331-340
    • Qian, H.1
  • 15
    • 0034310272 scopus 로고    scopus 로고
    • The mathematical theory of molecular motor movement and chemomechanical energy transduction
    • Qian, H. 2000d The mathematical theory of molecular motor movement and chemomechanical energy transduction. J. Math. Chem. 27, 219-234.
    • (2000) J. Math. Chem. , vol.27 , pp. 219-234
    • Qian, H.1
  • 16
    • 0035418729 scopus 로고    scopus 로고
    • Nonequilibrium steady-state circulation and heat dissipation functional
    • In the press
    • Qian, H. 2001a Nonequilibrium steady-state circulation and heat dissipation functional. Phys. Rev. E. (In the press.)
    • (2001) Phys. Rev. E.
    • Qian, H.1
  • 17
    • 0035305311 scopus 로고    scopus 로고
    • Relative entropy: Free energy associated with equilibrium fluctuations and nonequilibrium deviations
    • Qian, H. 2001b Relative entropy: free energy associated with equilibrium fluctuations and nonequilibrium deviations. Phys. Rev. E63, 042103.
    • (2001) Phys. Rev. , vol.E63 , pp. 042103
    • Qian, H.1
  • 18
    • 0004499101 scopus 로고
    • The entropy production and irreversibility of Markov processes
    • Qian, M. P. & Qian, M. 1985 The entropy production and irreversibility of Markov processes. Chin. Sci. Bull. 30, 445-447.
    • (1985) Chin. Sci. Bull. , vol.30 , pp. 445-447
    • Qian, M.P.1    Qian, M.2
  • 19
    • 0033425916 scopus 로고    scopus 로고
    • The entropy production of diffusion processes on manifolds and its circulation decomposition
    • Qian, M. & Wang, Z. D. 1999 The entropy production of diffusion processes on manifolds and its circulation decomposition. Commun. Math. Phys. 206, 429-445.
    • (1999) Commun. Math. Phys. , vol.206 , pp. 429-445
    • Qian, M.1    Wang, Z.D.2
  • 20
    • 0001503605 scopus 로고
    • The reversibility and the entropy production of Markov processes
    • Qian, M. P., Qian, M. & 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
  • 22
    • 36149027699 scopus 로고
    • On the theory of the Brownian motion. II
    • Wang, M. C. & Uhlenbeck, G. E. 1945 On the theory of the Brownian motion. II. Rev. Mod. Phys. 17, 323-342.
    • (1945) Rev. Mod. Phys. , vol.17 , pp. 323-342
    • Wang, M.C.1    Uhlenbeck, G.E.2
  • 24
    • 0016631803 scopus 로고
    • Time-reversibility of linear stochastic processes
    • Weiss, G. 1975 Time-reversibility of linear stochastic processes. J. Appl. Prob. 12, 831-836.
    • (1975) J. Appl. Prob. , vol.12 , pp. 831-836
    • Weiss, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.