Fluctuation theorem for currents and Schnakenberg network theory

被引:184
作者
Andrieux, David [1 ]
Gaspard, Pierre [1 ]
机构
[1] Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium
关键词
nonequilibrium steady state; entropy production; affinities; thermodynamic forces; fluctuation theorem;
D O I
10.1007/s10955-006-9233-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or thermodynamic forces are defined globally in terms of the cycles of the graph associated with the stochastic process describing the time evolution.
引用
收藏
页码:107 / 131
页数:25
相关论文
共 46 条
[11]   Extension of Onsager's reciprocity to large fields and the chaotic hypothesis [J].
Gallavotti, G .
PHYSICAL REVIEW LETTERS, 1996, 77 (21) :4334-4337
[12]  
Gardiner C.W., 1990, HDB STOCHASTIC METHO
[13]   Fluctuation theorem for nonequilibrium reactions [J].
Gaspard, P .
JOURNAL OF CHEMICAL PHYSICS, 2004, 120 (19) :8898-8905
[14]   CHAOTIC SCATTERING-THEORY, THERMODYNAMIC FORMALISM, AND TRANSPORT-COEFFICIENTS [J].
GASPARD, P ;
DORFMAN, JR .
PHYSICAL REVIEW E, 1995, 52 (04) :3525-3552
[15]   TRANSPORT-PROPERTIES, LYAPUNOV EXPONENTS, AND ENTROPY PER UNIT TIME [J].
GASPARD, P ;
NICOLIS, G .
PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1693-1696
[16]   Fractality of the hydrodynamic modes of diffusion [J].
Gaspard, P ;
Claus, I ;
Gilbert, T ;
Dorfman, JR .
PHYSICAL REVIEW LETTERS, 2001, 86 (08) :1506-1509
[17]  
Gaspard P., 1998, CHAOS SCATTERING STA
[18]   TRANSPORT COEFFICIENTS FROM DISSIPATION IN A CANONICAL ENSEMBLE [J].
HELFAND, E .
PHYSICAL REVIEW, 1960, 119 (01) :1-9
[19]   STUDIES IN IRREVERSIBLE THERMODYNAMICS .3. MODELS FOR STEADY STATE AND ACTIVE TRANSPORT ACROSS MEMBRANES [J].
HILL, TL ;
KEDEM, O .
JOURNAL OF THEORETICAL BIOLOGY, 1966, 10 (03) :399-&