메뉴 건너뛰기




Volumn 54, Issue 5, 2013, Pages

A decomposition of irreversible diffusion processes without detailed balance

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84878608905     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4803847     Document Type: Article
Times cited : (61)

References (59)
  • 1
    • 84860508744 scopus 로고    scopus 로고
    • Stochastic thermodynamics under coarse graining
    • 10.1103/PhysRevE.85.041125
    • Esposito M. Stochastic thermodynamics under coarse graining. Phys. Rev. E 2012, 85:041125. 10.1103/PhysRevE.85.041125.
    • (2012) Phys. Rev. E , vol.85 , pp. 041125
    • Esposito, M.1
  • 2
    • 53149117495 scopus 로고    scopus 로고
    • Stochastic thermodynamics: Principles and perspectives
    • 10.1140/epjb/e2008-00001-9
    • Seifert U. Stochastic thermodynamics: Principles and perspectives. Eur. Phys. J. B 2008, 64:423-431. 10.1140/epjb/e2008-00001-9.
    • (2008) Eur. Phys. J. B , vol.64 , pp. 423-431
    • Seifert, U.1
  • 3
    • 0000765761 scopus 로고    scopus 로고
    • Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences
    • 10.1103/PhysRevE.60.2721
    • Crooks G. Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences. Phys. Rev. E 1999, 60:2721-2726. 10.1103/PhysRevE.60.2721.
    • (1999) Phys. Rev. E , vol.60 , pp. 2721-2726
    • Crooks, G.1
  • 4
    • 0001503605 scopus 로고
    • The reversibility and the entropy production of Markov processes
    • 10.1090/conm/118/1137974
    • Qian M.-P. Qian M. Gong G.-L. The reversibility and the entropy production of Markov processes. Contemp. Math. 1991, 118:255-261. 10.1090/conm/118/1137974.
    • (1991) Contemp. Math. , vol.118 , pp. 255-261
    • Qian, M.-P.1    Qian, M.2    Gong, G.-L.3
  • 5
    • 79961082551 scopus 로고    scopus 로고
    • Irreversible thermodynamics in multiscale stochastic dynamical systems
    • 10.1103/PhysRevE.83.041130
    • Santillán M. Qian H. Irreversible thermodynamics in multiscale stochastic dynamical systems. Phys. Rev. E 2011, 83:041130. 10.1103/PhysRevE.83.041130.
    • (2011) Phys. Rev. E , vol.83 , pp. 041130
    • Santillán, M.1    Qian, H.2
  • 6
    • 77953351106 scopus 로고    scopus 로고
    • The physical origins of entropy production, free energy dissipation and their mathematical representations
    • 10.1103/PhysRevE.81.051133
    • Ge H. Qian H. The physical origins of entropy production, free energy dissipation and their mathematical representations. Phys. Rev. E 2010, 81:051133. 10.1103/PhysRevE.81.051133.
    • (2010) Phys. Rev. E , vol.81 , pp. 051133
    • Ge, H.1    Qian, H.2
  • 7
    • 77649211352 scopus 로고    scopus 로고
    • Three detailed fluctuation theorems
    • 10.1103/PhysRevLett.104.090601
    • Esposito M. van den Broeck C. Three detailed fluctuation theorems. Phys. Rev. Lett. 2010, 104:090601. 10.1103/PhysRevLett.104.090601.
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 090601
    • Esposito, M.1    van den Broeck, C.2
  • 8
    • 79958145046 scopus 로고    scopus 로고
    • Equalities and inequalities: Irreversibility and the second law of thermodynamics at the nanoscale
    • 10.1146/annurev-conmatphys-062910-140506
    • Jarzynski C. Equalities and inequalities: Irreversibility and the second law of thermodynamics at the nanoscale. Ann. Rev. Condens. Matter. Phys. 2011, 2:329-351. 10.1146/annurev-conmatphys-062910-140506.
    • (2011) Ann. Rev. Condens. Matter. Phys. , vol.2 , pp. 329-351
    • Jarzynski, C.1
  • 9
    • 18344406027 scopus 로고    scopus 로고
    • Steady-state thermodynamics of Langevin systems
    • 10.1103/PhysRevLett.86.3463
    • Hatano T. Sasa S.-I. Steady-state thermodynamics of Langevin systems. Phys. Rev. Lett. 2001, 86:3463-3466. 10.1103/PhysRevLett.86.3463.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3463-3466
    • Hatano, T.1    Sasa, S.-I.2
  • 10
    • 0033246864 scopus 로고    scopus 로고
    • A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics
    • 10.1023/A:1004589714161
    • Lebowitz J.L. Spohn H. A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics. J. Stat. Phys. 1999, 95:333-365. 10.1023/A:1004589714161.
    • (1999) J. Stat. Phys. , vol.95 , pp. 333-365
    • Lebowitz, J.L.1    Spohn, H.2
  • 11
    • 0040120726 scopus 로고    scopus 로고
    • Fluctuation theorem for stochastic dynamics
    • 10.1088/0305-4470/31/16/003
    • Kurchan J. Fluctuation theorem for stochastic dynamics. J. Phys. A 1998, 31:3719-3729. 10.1088/0305-4470/31/16/003.
    • (1998) J. Phys. A , vol.31 , pp. 3719-3729
    • Kurchan, J.1
  • 13
    • 82455192486 scopus 로고    scopus 로고
    • Stochastic theory of nonequilibrium steady states and its applications. Part I
    • 10.1016/j.physrep.2011.09.002
    • Zhang X.-J. Qian H. Qian M. Stochastic theory of nonequilibrium steady states and its applications. Part I. Phys. Rep. 2012, 510:1-86. 10.1016/j.physrep.2011.09.002.
    • (2012) Phys. Rep. , vol.510 , pp. 1-86
    • Zhang, X.-J.1    Qian, H.2    Qian, M.3
  • 14
    • 83255165435 scopus 로고    scopus 로고
    • Stochastic theory of nonequilibrium steady states Part II: Applications in chemical biophysics
    • 10.1016/j.physrep.2011.09.001
    • Ge H. Qian M. Qian H. Stochastic theory of nonequilibrium steady states Part II: Applications in chemical biophysics. Phys. Rep. 2012, 510:87-118. 10.1016/j.physrep.2011.09.001.
    • (2012) Phys. Rep. , vol.510 , pp. 87-118
    • Ge, H.1    Qian, M.2    Qian, H.3
  • 15
    • 0004499101 scopus 로고
    • The entropy production and irreversibility of Markov processes
    • Qian M.-P. Qian M. The entropy production and irreversibility of Markov processes. Chin. Sci. Bull. 1985, 30:445-447.
    • (1985) Chin. Sci. Bull. , vol.30 , pp. 445-447
    • Qian, M.-P.1    Qian, M.2
  • 16
    • 84878542116 scopus 로고    scopus 로고
    • Stochastic physics, complex systems, and biology
    • 10.1007/s40484-013-0002-6
    • Qian H. Stochastic physics, complex systems, and biology. Quant. Biol. 2013, 1:50-53. 10.1007/s40484-013-0002-6.
    • (2013) Quant. Biol. , vol.1 , pp. 50-53
    • Qian, H.1
  • 17
    • 79957877141 scopus 로고    scopus 로고
    • Nonlinear stochastic dynamics of mesoscopic homogeneous biochemical reactions systems - An analytical theory (invited article)
    • 10.1088/0951-7715/24/6/R01
    • Qian H. Nonlinear stochastic dynamics of mesoscopic homogeneous biochemical reactions systems - An analytical theory (invited article). Nonlinearity 2011, 24:R19-R49. 10.1088/0951-7715/24/6/R01.
    • (2011) Nonlinearity , vol.24
    • Qian, H.1
  • 18
    • 84863489468 scopus 로고    scopus 로고
    • Landscapes of non-gradient dynamics without detailed balance: Stable limit cycles and multiple attractors
    • 10.1063/1.4729137
    • Ge H. Qian H. Landscapes of non-gradient dynamics without detailed balance: Stable limit cycles and multiple attractors. Chaos 2012, 22:023140. 10.1063/1.4729137.
    • (2012) Chaos , vol.22 , pp. 023140
    • Ge, H.1    Qian, H.2
  • 19
    • 51349120674 scopus 로고    scopus 로고
    • Emerging of stochastic dynamical equalities and steady state thermodynamics from Darwinian dynamics
    • 10.1088/0253-6102/49/5/01
    • Ao P. Emerging of stochastic dynamical equalities and steady state thermodynamics from Darwinian dynamics. Commun. Theor. Phys. 2008, 49:1073-1090. 10.1088/0253-6102/49/5/01.
    • (2008) Commun. Theor. Phys. , vol.49 , pp. 1073-1090
    • Ao, P.1
  • 23
    • 0000013996 scopus 로고
    • Network theory of microscopic and macroscopic behavior of master equation systems
    • 10.1103/RevModPhys.48.571
    • Schnakenberg J. Network theory of microscopic and macroscopic behavior of master equation systems. Rev. Mod. Phys. 1976, 48:571-585. 10.1103/RevModPhys.48.571.
    • (1976) Rev. Mod. Phys. , vol.48 , pp. 571-585
    • Schnakenberg, J.1
  • 24
    • 50449104011 scopus 로고    scopus 로고
    • Potential landscape and flux framework of nonequilibrium networks: Robustness, dissipation, and coherence of biochemical oscillations
    • 10.1073/pnas.0800579105
    • Wang J. Xu L. Wang E. Potential landscape and flux framework of nonequilibrium networks: Robustness, dissipation, and coherence of biochemical oscillations. Proc. Natl. Acad. Sci. U.S.A. 2008, 105:12271-12276. 10.1073/pnas.0800579105.
    • (2008) Proc. Natl. Acad. Sci. U.S.A. , vol.105 , pp. 12271-12276
    • Wang, J.1    Xu, L.2    Wang, E.3
  • 25
    • 84555190726 scopus 로고    scopus 로고
    • Potential and flux decomposition for dynamical systems and non-equilibrium thermodynamics: Curvature, gauge field, and generalized fluctuation-dissipation theorem
    • 10.1063/1.3669448
    • Feng H. Wang J. Potential and flux decomposition for dynamical systems and non-equilibrium thermodynamics: Curvature, gauge field, and generalized fluctuation-dissipation theorem. J. Chem. Phys. 2011, 135:234511. 10.1063/1.3669448.
    • (2011) J. Chem. Phys. , vol.135 , pp. 234511
    • Feng, H.1    Wang, J.2
  • 26
    • 0033425916 scopus 로고    scopus 로고
    • The entropy production of diffusion processes on manifolds and its circulation decompositions
    • 10.1007/s002200050712
    • Qian M. Wang Z.-D. The entropy production of diffusion processes on manifolds and its circulation decompositions. Commun. Math. Phys. 1999, 206:429-445. 10.1007/s002200050712.
    • (1999) Commun. Math. Phys. , vol.206 , pp. 429-445
    • Qian, M.1    Wang, Z.-D.2
  • 27
    • 34250472782 scopus 로고
    • Generalized thermodynamic potential for Markoff systems in detailed balance and far from thermal equilibrium
    • 10.1007/BF01394858
    • Graham R. Haken H. Generalized thermodynamic potential for Markoff systems in detailed balance and far from thermal equilibrium. Z. Physik 1971, 243:289-302. 10.1007/BF01394858.
    • (1971) Z. Physik , vol.243 , pp. 289-302
    • Graham, R.1    Haken, H.2
  • 28
    • 0002757497 scopus 로고
    • Statistical theory of instabilities in stationary nonequilibrium systems with applications to lasers and nonlinear optics
    • Springer Tracts in Modern Physics (Springer)
    • Graham R. Statistical theory of instabilities in stationary nonequilibrium systems with applications to lasers and nonlinear optics. Quantum Statistics in Optics and Solid-State Physics 1973, 66:1-97. in Springer Tracts in Modern Physics Vol. (Springer)., pp.
    • (1973) Quantum Statistics in Optics and Solid-State Physics , vol.66 , pp. 1-97
    • Graham, R.1
  • 29
    • 0001658007 scopus 로고
    • Macroscopic potentials, bifurcations, and noise in dissipative systems
    • F. Moss, P. V. E. McClintock, edited by and (Cambridge University Press).
    • Graham R. Macroscopic potentials, bifurcations, and noise in dissipative systems. Noise in Nonlinear Dynamical Systems 1989, 225-278. F. Moss, P. V. E. McClintock, in edited by and (Cambridge University Press).
    • (1989) Noise in Nonlinear Dynamical Systems , pp. 225-278
    • Graham, R.1
  • 30
    • 0002650413 scopus 로고
    • Existence of a potential for dissipative dynamical systems
    • 10.1103/PhysRevLett.52.9
    • Graham R. Tél T. Existence of a potential for dissipative dynamical systems. Phys. Rev. Lett. 1984, 52:9-12. 10.1103/PhysRevLett.52.9.
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 9-12
    • Graham, R.1    Tél, T.2
  • 31
    • 24944438976 scopus 로고    scopus 로고
    • Structure of stochastic dynamics near fixed points
    • 10.1073/pnas.0506347102
    • Kwon C. Ao P. Thouless D.J. Structure of stochastic dynamics near fixed points. Proc. Natl. Acad. Sci. U.S.A. 2005, 102:13029-13033. 10.1073/pnas.0506347102.
    • (2005) Proc. Natl. Acad. Sci. U.S.A. , vol.102 , pp. 13029-13033
    • Kwon, C.1    Ao, P.2    Thouless, D.J.3
  • 32
    • 0742288604 scopus 로고    scopus 로고
    • Potential in stochastic differential equations: Novel construction
    • 10.1088/0305-4470/37/3/L01
    • Ao P. Potential in stochastic differential equations: Novel construction. J. Phys. A 2004, 37:L25-L30. 10.1088/0305-4470/37/3/L01.
    • (2004) J. Phys. A , vol.37
    • Ao, P.1
  • 33
    • 33745501553 scopus 로고    scopus 로고
    • Existence and construction of dynamical potential in nonequilibrium processes without detailed balance
    • 10.1088/0305-4470/39/27/003
    • Yin L. Ao P. Existence and construction of dynamical potential in nonequilibrium processes without detailed balance. J. Phys. A 2006, 39:8593-8601. 10.1088/0305-4470/39/27/003.
    • (2006) J. Phys. A , vol.39 , pp. 8593-8601
    • Yin, L.1    Ao, P.2
  • 34
    • 34247106650 scopus 로고    scopus 로고
    • On the existence of potential landscape in the evolution of complex systems
    • 10.1002/cplx.20171
    • Ao P. Kwon C. Qian H. On the existence of potential landscape in the evolution of complex systems. Complexity 2007, 12:19-27. 10.1002/cplx.20171.
    • (2007) Complexity , vol.12 , pp. 19-27
    • Ao, P.1    Kwon, C.2    Qian, H.3
  • 35
    • 57249114484 scopus 로고    scopus 로고
    • Mathematical formalism for isothermal linear irreversibility
    • 10.1098/rspa.2001.0811
    • Qian H. Mathematical formalism for isothermal linear irreversibility. Proc. Roy. Soc. London, Ser. A 2001, 457:1645-1655. 10.1098/rspa.2001.0811.
    • (2001) Proc. Roy. Soc. London, Ser. A , vol.457 , pp. 1645-1655
    • Qian, H.1
  • 36
    • 84865405760 scopus 로고    scopus 로고
    • Relation of biologically motivated new interpretation of stochastic differential equations to Itō process
    • 10.1007/s10955-012-0532-8
    • Shi J. Chen T. Yuan R. Yuan B. Ao P. Relation of biologically motivated new interpretation of stochastic differential equations to Itō process. J. Stat. Phys. 2012, 148:579-590. 10.1007/s10955-012-0532-8.
    • (2012) J. Stat. Phys. , vol.148 , pp. 579-590
    • Shi, J.1    Chen, T.2    Yuan, R.3    Yuan, B.4    Ao, P.5
  • 37
    • 84878532445 scopus 로고    scopus 로고
    • The zeroth law of thermodynamics and volume-preserving conservative dynamics with equilibrium stochastic damping
    • preprint arXiv:1206.7079 [math-ph] .
    • Qian H. The zeroth law of thermodynamics and volume-preserving conservative dynamics with equilibrium stochastic damping. 2012, preprint arXiv:1206.7079 [math-ph].
    • (2012)
    • Qian, H.1
  • 38
    • 0036243184 scopus 로고    scopus 로고
    • Thermodynamics of the general diffusion process: Time-reversibility and entropy production
    • 10.1023/A:1015109708454
    • Qian H. Qian M. Tang X. Thermodynamics of the general diffusion process: Time-reversibility and entropy production. J. Stat. Phys. 2002, 107:1129-1141. 10.1023/A:1015109708454.
    • (2002) J. Stat. Phys. , vol.107 , pp. 1129-1141
    • Qian, H.1    Qian, M.2    Tang, X.3
  • 42
    • 0032343437 scopus 로고    scopus 로고
    • The variational formulation of the Fokker-Planck equation
    • 10.1137/S0036141096303359
    • Jordan R. Kinderlehrer D. Otto F. The variational formulation of the Fokker-Planck equation. SIAM J. Math. Anal. 1998, 29:1-17. 10.1137/S0036141096303359.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1-17
    • Jordan, R.1    Kinderlehrer, D.2    Otto, F.3
  • 43
    • 84856707826 scopus 로고    scopus 로고
    • Fokker-Planck equations for a free energy functional or Markov process on a graph
    • 10.1007/s00205-011-0471-6
    • Chow S.-N. Huang W. Li Y. Zhou H. Fokker-Planck equations for a free energy functional or Markov process on a graph. Arch. Ration. Mech. Anal. 2012, 203:969-1008. 10.1007/s00205-011-0471-6.
    • (2012) Arch. Ration. Mech. Anal. , vol.203 , pp. 969-1008
    • Chow, S.-N.1    Huang, W.2    Li, Y.3    Zhou, H.4
  • 44
    • 0000389761 scopus 로고
    • The dynamic origin of increasing entropy
    • 10.1103/RevModPhys.61.981
    • Mackey M.C. The dynamic origin of increasing entropy. Rev. Mod. Phys. 1989, 61:981-1016. 10.1103/RevModPhys.61.981.
    • (1989) Rev. Mod. Phys. , vol.61 , pp. 981-1016
    • Mackey, M.C.1
  • 45
    • 36749116101 scopus 로고
    • Entropy production for quantum dynamical semigroups
    • 10.1063/1.523789
    • Spohn H. Entropy production for quantum dynamical semigroups. J. Math. Phys. 1978, 19:1227-1230. 10.1063/1.523789.
    • (1978) J. Math. Phys. , vol.19 , pp. 1227-1230
    • Spohn, H.1
  • 46
    • 0009177654 scopus 로고
    • Stochastic operators, information, and entropy
    • 10.1007/BF01941799
    • Voigt J. Stochastic operators, information, and entropy. Commun. Math. Phys. 1981, 81:31-38. 10.1007/BF01941799.
    • (1981) Commun. Math. Phys. , vol.81 , pp. 31-38
    • Voigt, J.1
  • 47
    • 36149006492 scopus 로고
    • Reciprocal relations in irreversible processes. I
    • 10.1103/PhysRev.37.405
    • Onsager L. Reciprocal relations in irreversible processes. I. Phys. Rev. 1931, 37:405-426. 10.1103/PhysRev.37.405.
    • (1931) Phys. Rev. , vol.37 , pp. 405-426
    • Onsager, L.1
  • 48
    • 0032397017 scopus 로고    scopus 로고
    • Steady state thermodynamics
    • 10.1143/PTPS.130.29
    • Oono Y. Paniconi M. Steady state thermodynamics. Prog. Theor. Phys. Suppl. 1998, 130:29-44. 10.1143/PTPS.130.29.
    • (1998) Prog. Theor. Phys. Suppl. , vol.130 , pp. 29-44
    • Oono, Y.1    Paniconi, M.2
  • 49
    • 77955137673 scopus 로고    scopus 로고
    • Three faces of the second law. II. Fokker-Planck formulation
    • 10.1103/PhysRevE.82.011144
    • van den Broeck C. Esposito M. Three faces of the second law. II. Fokker-Planck formulation. Phys. Rev. E 2010, 82:011144. 10.1103/PhysRevE.82.011144.
    • (2010) Phys. Rev. E , vol.82 , pp. 011144
    • van den Broeck, C.1    Esposito, M.2
  • 50
    • 0003138476 scopus 로고
    • Stability of dynamical systems
    • 10.1088/0951-7715/1/1/005
    • Zeeman E.C. Stability of dynamical systems. Nonlinearity 1988, 1:115-155. 10.1088/0951-7715/1/1/005.
    • (1988) Nonlinearity , vol.1 , pp. 115-155
    • Zeeman, E.C.1
  • 52
    • 84865327667 scopus 로고    scopus 로고
    • Analytical mechanics in stochastic dynamics: Most probable path, large-deviation rate function, and Hamilton-Jacobi equation (Review)
    • 10.1142/S0217979212300125
    • Ge H. Qian H. Analytical mechanics in stochastic dynamics: Most probable path, large-deviation rate function, and Hamilton-Jacobi equation (Review). Int. J. Mod. Phys. B 2012, 26:1230012. 10.1142/S0217979212300125.
    • (2012) Int. J. Mod. Phys. B , vol.26 , pp. 1230012
    • Ge, H.1    Qian, H.2
  • 53
    • 23444448555 scopus 로고    scopus 로고
    • SRB measures as zero-noise limits
    • 10.1017/S0143385704000604
    • Cowieson W. Young L.-S. SRB measures as zero-noise limits. Ergod. Theory Dyn. Syst. 2005, 25:1115-1138. 10.1017/S0143385704000604.
    • (2005) Ergod. Theory Dyn. Syst. , vol.25 , pp. 1115-1138
    • Cowieson, W.1    Young, L.-S.2
  • 54
    • 27144483816 scopus 로고    scopus 로고
    • Entropy production along a stochastic trajectory and an integral fluctuation theorem
    • 10.1103/PhysRevLett.95.040602
    • Seifert U. Entropy production along a stochastic trajectory and an integral fluctuation theorem. Phys. Rev. Lett. 2005, 95:040602. 10.1103/PhysRevLett.95.040602.
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 040602
    • Seifert, U.1
  • 55
    • 34547448152 scopus 로고    scopus 로고
    • The transient fluctuation theorem of sample entropy production for general stochastic processes
    • 10.1088/1751-8113/40/30/F04
    • Ge H. Jiang D.-Q. The transient fluctuation theorem of sample entropy production for general stochastic processes. J. Phys. A: Math. Theor. 2007, 40:F713-F723. 10.1088/1751-8113/40/30/F04.
    • (2007) J. Phys. A: Math. Theor. , vol.40
    • Ge, H.1    Jiang, D.-Q.2
  • 56
    • 19644393057 scopus 로고    scopus 로고
    • Entropy production of Brownian macromolecules with inertia
    • 10.1103/PhysRevLett.93.120602
    • Kim K.H. Qian H. Entropy production of Brownian macromolecules with inertia. Phys. Rev. Lett. 2004, 93:120602. 10.1103/PhysRevLett.93.120602.
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 120602
    • Kim, K.H.1    Qian, H.2
  • 57
    • 78649610632 scopus 로고    scopus 로고
    • Mapping between dissipative and Hamiltonian systems
    • 10.1088/1751-8113/43/37/375003
    • Xing J. Mapping between dissipative and Hamiltonian systems. J. Phys. A: Math. Theor. 2010, 43:375003. 10.1088/1751-8113/43/37/375003.
    • (2010) J. Phys. A: Math. Theor. , vol.43 , pp. 375003
    • Xing, J.1
  • 59
    • 84925039238 scopus 로고    scopus 로고
    • A. Freeman, translated by (Cambridge University Press, London).
    • Fourier J.B. J. The Analytical Theory of Heat 2009, A. Freeman, translated by (Cambridge University Press, London).
    • (2009) The Analytical Theory of Heat
    • Fourier, J.B.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.