메뉴 건너뛰기




Volumn 107, Issue 5-6, 2002, Pages 1129-1141

Thermodynamics of the general diffusion process: Time-reversibility and entropy production

Author keywords

Elliptic equation; Entropy production; Invariant measure; Macromolecular mechanics; Thermodynamics

Indexed keywords


EID: 0036243184     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015109708454     Document Type: Article
Times cited : (51)

References (37)
  • 3
    • 4243360952 scopus 로고
    • Probability of second law violations in shearing steady-states
    • D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Probability of second law violations in shearing steady-states, Phys. Rev. Lett. 71:2401-2404 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 2401-2404
    • Evans, D.J.1    Cohen, E.G.D.2    Morriss, G.P.3
  • 4
    • 0001351180 scopus 로고
    • The general diffusion operator and positive preserving semi-group in one dimension
    • W. Feller, The general diffusion operator and positive preserving semi-group in one dimension, Ann. of Math. 60:417-436 (1954).
    • (1954) Ann. of Math. , vol.60 , pp. 417-436
    • Feller, W.1
  • 8
    • 0004466189 scopus 로고    scopus 로고
    • The entropy production and circulation of diffusion processes on manifold
    • M.-Z. Guo, M. Qian, and Z. D. Wang, The entropy production and circulation of diffusion processes on manifold, Chinese Sci. Bull. 42:982-985 (1998).
    • (1998) Chinese Sci. Bull. , vol.42 , pp. 982-985
    • Guo, M.-Z.1    Qian, M.2    Wang, Z.D.3
  • 9
    • 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, Comm. Math. Phys. 214, 389-409 (2000)
    • (2000) Comm. Math. Phys. , vol.214 , pp. 389-409
    • Jiang, D.-Q.1    Qian, M.2    Qian, M.-P.3
  • 11
    • 0040120726 scopus 로고    scopus 로고
    • Fluctuation theorem for stochastic dynamics
    • J. Kurchin, 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
    • Kurchin, J.1
  • 12
    • 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. Stat. Phys. 95:333-365 (1999).
    • (1999) J. Stat. Phys. , vol.95 , pp. 333-365
    • Lebowitz, J.L.1    Spohn, H.2
  • 14
    • 0033246860 scopus 로고    scopus 로고
    • The fluctuation theorem as a Gibbs property
    • C. Maes, The fluctuation theorem as a Gibbs property, J. Stat. Phys. 95:367-392 (1999).
    • (1999) J. Stat. Phys. , vol.95 , pp. 367-392
    • Maes, C.1
  • 15
    • 0034345461 scopus 로고    scopus 로고
    • On the definition of entropy production via examples
    • C. Maes, P. Redig, and A. van Moffaert, On the definition of entropy production via examples, J. Math. Phys. 41:1528-1554 (2000).
    • (2000) J. Math. Phys. , vol.41 , pp. 1528-1554
    • Maes, C.1    Redig, P.2    Van Moffaert, A.3
  • 16
    • 0036103015 scopus 로고    scopus 로고
    • No current without heat
    • to appear
    • C. Maes et al., No current without heat, J. Stat. Phys. to appear.
    • J. Stat. Phys.
    • Maes, C.1
  • 17
    • 84968503970 scopus 로고
    • An existence theorem for second order parabolic equations
    • E. Nelson, An existence theorem for second order parabolic equations, Trans. Amer. Math. Soc. 88:414-429 (1958)
    • (1958) Trans. Amer. Math. Soc. , vol.88 , pp. 414-429
    • Nelson, E.1
  • 19
    • 0000547916 scopus 로고    scopus 로고
    • Vector field formalism and analysis for a class of Brownian ratchets
    • H. Qian, Vector field formalism and analysis for a class of Brownian ratchets, Phys. Rev. Lett. 81, 3063-3066 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 3063-3066
    • Qian, H.1
  • 20
    • 0033918280 scopus 로고    scopus 로고
    • Single-particle tracking: Brownian dynamics of viscoelastic materials
    • H. Qian, Single-particle tracking: Brownian dynamics of viscoelastic materials, Biophys. J. 79:137-143 (2000).
    • (2000) Biophys. J. , vol.79 , pp. 137-143
    • Qian, H.1
  • 21
    • 0034310272 scopus 로고    scopus 로고
    • The mathematical theory of molecular motor movement and chemomechanical energy transduction
    • H. Qian, The mathematical theory of molecular motor movement and chemomechanical energy transduction, J. Math. Chem. 27, 219-234 (2000).
    • (2000) J. Math. Chem. , vol.27 , pp. 219-234
    • Qian, H.1
  • 22
    • 57249114484 scopus 로고    scopus 로고
    • Mathematical formalism for isothermal linear irreversibility
    • H. Qian, Mathematical formalism for isothermal linear irreversibility, Proc. Roy. Soc. London Ser. A 457:1645-1655 (2001)
    • (2001) Proc. Roy. Soc. London Ser. A , vol.457 , pp. 1645-1655
    • Qian, H.1
  • 23
    • 0035305311 scopus 로고    scopus 로고
    • Relative entropy: Free energy associated with equilibrium fluctuations and nonequilibrium deviations
    • H. Qian, Relative entropy: Free energy associated with equilibrium fluctuations and nonequilibrium deviations, Phys. Rev. E 63:042103 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 042103
    • Qian, H.1
  • 24
    • 0035418729 scopus 로고    scopus 로고
    • Nonequilibrium steady-state circulation and heat dissipation functional
    • H. Qian, Nonequilibrium steady-state circulation and heat dissipation functional, Phys. Rev. E 64:022101 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 022101
    • Qian, H.1
  • 25
    • 41349109494 scopus 로고    scopus 로고
    • Mesoscopic nonequilibrium thermodynamics of single macromolecules and dynamic entropy-energy compensation
    • H. Qian, Mesoscopic nonequilibrium thermodynamics of single macromolecules and dynamic entropy-energy compensation, Phys. Rev. E 65:016102 (2002).
    • (2002) Phys. Rev. E , vol.65 , pp. 016102
    • Qian, H.1
  • 26
    • 0037187085 scopus 로고    scopus 로고
    • Equations for stochastic macromolecular mechanics of single proteins: Equilibrium fluctuations, transient kinetics and nonequilibrium steady-state
    • H. Qian, Equations for stochastic macromolecular mechanics of single proteins: Equilibrium fluctuations, transient kinetics and nonequilibrium steady-state, J. Phys. Chem. 106:2065-2073 (2002).
    • (2002) J. Phys. Chem. , vol.106 , pp. 2065-2073
    • Qian, H.1
  • 28
    • 0141664942 scopus 로고
    • Extension of an elliptic differential operator and Č semigroups
    • M. Qian, Extension of an elliptic differential operator and Č semigroups (Chinese), Acta Math. Sin. 22:471-486 (1979).
    • (1979) Acta Math. Sin. , vol.22 , pp. 471-486
    • Qian, M.1
  • 29
    • 0141553426 scopus 로고
    • The invariant measure and ergodic property of a Markov semigroup
    • M. Qian, The invariant measure and ergodic property of a Markov semigroup (Chinese), Beijing Daxue Xuebao 2:46-59 (1979).
    • (1979) Beijing Daxue Xuebao , vol.2 , pp. 46-59
    • Qian, M.1
  • 30
    • 0004043176 scopus 로고    scopus 로고
    • The reversibility, entropy production and rotation numbers of diffusion processes on compact Riemannian manifolds
    • M. Qian and Z.-D. Wang, The reversibility, entropy production and rotation numbers of diffusion processes on compact Riemannian manifolds, Comm. Math. Phys. 206:429-445 (1999).
    • (1999) Comm. Math. Phys. , vol.206 , pp. 429-445
    • Qian, M.1    Wang, Z.-D.2
  • 31
    • 34250233688 scopus 로고
    • Circulation for recurrent Markov chain
    • M.-P. Qian and M. Qian, Circulation for recurrent Markov chain, Z. Wahrsch. Verw. Gebiete. 59:203-210 (1982).
    • (1982) Z. Wahrsch. Verw. Gebiete. , vol.59 , pp. 203-210
    • Qian, M.-P.1    Qian, M.2
  • 32
    • 0004499101 scopus 로고
    • The entropy production and irreversibility of Markov processes
    • M.-P. Qian and M. Qian, The entropy production and irreversibility of Markov processes, Chin. Sci. Bull. 30:445-447 (1985).
    • (1985) Chin. Sci. Bull. , vol.30 , pp. 445-447
    • Qian, M.-P.1    Qian, M.2
  • 33
    • 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
  • 34
    • 0031092587 scopus 로고    scopus 로고
    • Positivity of entropy production in the presence of a random thermostat
    • D. Ruelle, Positivity of entropy production in the presence of a random thermostat, J. Stat. Phys. 86:935-951 (1997).
    • (1997) J. Stat. Phys. , vol.86 , pp. 935-951
    • Ruelle, D.1
  • 35
    • 84972541717 scopus 로고    scopus 로고
    • On the mathematical foundations of electrical circuit theory
    • S. Smale, On the mathematical foundations of electrical circuit theory, J. Diff. Geom. 7:193-210.
    • J. Diff. Geom. , vol.7 , pp. 193-210
    • Smale, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.