Entropy Production Rate of Non-equilibrium Systems from the Fokker-Planck Equation
作者： Yu Haitao , Du Jiulin
DOI: 10.1007/S13538-014-0234-6
关键词:
摘要: The entropy production rate of non-equilibrium systems is studied via the Fokker-Planck equation. This approach, based on equation given by Schnakenberg from a master equation, requires information transition system under study. We obtain conditional probability extracted and then derive new more operable expression for rate. A few examples are presented as applications our approach.
springer.com
harvard.edu
sci-hub.se 参考文章(24)
Yuri P Kalmykov, William T Coffey, The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry and Electrical Engineering ,(2012)
R J Harris, G M Schütz, Fluctuation theorems for stochastic dynamics Journal of Statistical Mechanics: Theory and Experiment. ,vol. 2007, pp. 07020- ,(2007) , 10.1088/1742-5468/2007/07/P07020
B. Gaveau, M. Moreau, L. S. Schulman, Generalized Clausius relation and power dissipation in nonequilibrium stochastic systems. Physical Review E. ,vol. 79, pp. 010102- ,(2009) , 10.1103/PHYSREVE.79.010102
Chung Yuan Mou, Jiu‐li Luo, Gregoire Nicolis, None, Stochastic thermodynamics of nonequilibrium steady states in chemical reaction systems The Journal of Chemical Physics. ,vol. 84, pp. 7011- 7017 ,(1986) , 10.1063/1.450623
S. R. de Groot, P. Mazur, Sangil Choi, Non-equilibrium thermodynamics, ,(1962)
J. Schnakenberg, Network theory of microscopic and macroscopic behavior of master equation systems Reviews of Modern Physics. ,vol. 48, pp. 571- 585 ,(1976) , 10.1103/REVMODPHYS.48.571
Ilya Prigogine, Introduction to Thermodynamics of Irreversible Processes ,(1968)
Tânia Tomé, Entropy production in nonequilibrium systems described by a Fokker-Planck equation Brazilian Journal of Physics. ,vol. 36, pp. 1285- 1289 ,(2006) , 10.1590/S0103-97332006000700029
Jorge Kurchan, Fluctuation theorem for stochastic dynamics Journal of Physics A. ,vol. 31, pp. 3719- 3729 ,(1998) , 10.1088/0305-4470/31/16/003
Tânia Tomé, Mário J. de Oliveira, Entropy production in irreversible systems described by a Fokker-Planck equation Physical Review E. ,vol. 82, pp. 021120- ,(2010) , 10.1103/PHYSREVE.82.021120