Stochastic Thermodynamics of Entropic Transport

作者: Matteo Smerlak

DOI:

关键词:

摘要: Max-Planck-Institut fu¨r Gravitationsphysik, Am Mu¨hlenberg 1, D-14476 Golm, Germany(Dated: December 22, 2013)Seifert derived an exact fluctuation relation for diffusion processes using the concept of “stochasticsystem entropy”. In this paper we extend his formalism to entropic transport. We introduce thenotion relative stochastic entropy and use it generalize Seifert’s system/medium decomposi-tion total entropy. This result allows apply concepts thermodynamics todiffusion in confined geometries, such as ion channels, cellular pores or nanoporous mate-rials. It can be seen equivalent Esposito’s Schaller’s generalizedfluctuation theorem “Maxwell demon feedbacks”.

参考文章(16)
Christian Maes, The Fluctuation Theorem as a Gibbs Property Journal of Statistical Physics. ,vol. 95, pp. 367- 392 ,(1999) , 10.1023/A:1004541830999
Joel L. Lebowitz, Herbert Spohn, A GALLAVOTTI-COHEN-TYPE SYMMETRY IN THE LARGE DEVIATION FUNCTIONAL FOR STOCHASTIC DYNAMICS Journal of Statistical Physics. ,vol. 95, pp. 333- 365 ,(1999) , 10.1023/A:1004589714161
Matteo Smerlak, Diffusion in curved spacetimes New Journal of Physics. ,vol. 14, pp. 023019- ,(2012) , 10.1088/1367-2630/14/2/023019
Christian Maes, Frank Redig, Annelies Van Moffaert, On the definition of entropy production, via examples Journal of Mathematical Physics. ,vol. 41, pp. 1528- 1554 ,(2000) , 10.1063/1.533195
Robert Zwanzig, Diffusion past an entropy barrier The Journal of Physical Chemistry. ,vol. 96, pp. 3926- 3930 ,(1992) , 10.1021/J100189A004
Udo Seifert, Stochastic thermodynamics: principles and perspectives European Physical Journal B. ,vol. 64, pp. 423- 431 ,(2008) , 10.1140/EPJB/E2008-00001-9
P. Sekhar Burada, Peter Hänggi, Fabio Marchesoni, Gerhard Schmid, Peter Talkner, Diffusion in confined geometries. ChemPhysChem. ,vol. 10, pp. 45- 54 ,(2009) , 10.1002/CPHC.200800526
G. Gallavotti, E. G. D. Cohen, Dynamical Ensembles in Nonequilibrium Statistical Mechanics. Physical Review Letters. ,vol. 74, pp. 2694- 2697 ,(1995) , 10.1103/PHYSREVLETT.74.2694
Udo Seifert, Stochastic thermodynamics, fluctuation theorems and molecular machines Reports on Progress in Physics. ,vol. 75, pp. 126001- ,(2012) , 10.1088/0034-4885/75/12/126001