Energy representation for nonequilibrium Brownian-like systems: Steady states and fluctuation relations
Abstract
Stochastic dynamics in the energy representation is used as a method to represent nonequilibrium Brownian-like systems. It is shown that the equation of motion for the energy of such systems can be taken in the form of the Langevin equation with multiplicative noise. Properties of the steady states are examined by solving the Fokker-Planck equation for the energy distribution functions. The generalized integral fluctuation theorem is deduced for the systems characterized by the shifted probability flux operator. From this theorem, a number of entropy and fluctuation relations such as the Evans-Searles fluctuation theorem, the Hatano-Sasa identity, and the Jarzynski’s equality are derived.
- Publication:
-
Physical Review E
- Pub Date:
- September 2010
- DOI:
- 10.1103/PhysRevE.82.031101
- arXiv:
- arXiv:1001.4805
- Bibcode:
- 2010PhRvE..82c1101L
- Keywords:
-
- 05.70.Ln;
- 05.40.Jc;
- Nonequilibrium and irreversible thermodynamics;
- Brownian motion;
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- revtex4-1, 18 pages, extended discussion, references added