Comparison of work fluctuation relations

Details Comparison of work fluctuation relations Comparison of work fluctuation relations

2007-10-11

arxiv.org/abs/0710.2261v1

J. Stat. Mech. (2007) P11002

Physics

Condensed Matter

Statistical Mechanics

14 pages with 1 figure, accepted for publication in the Journal of Statistical Mechanics

Scientific paper

10.1088/1742-5468/2007/11/P11002

We compare two predictions regarding the microscopic fluctuations of a system that is driven away from equilibrium: one due to Crooks [J. Stat. Phys. 90, 1481 (1998)] which has gained recent attention in the context of nonequilibrium work and fluctuation theorems, and an earlier, analogous result obtained by Bochkov and Kuzovlev [Zh. Eksp. Teor. Fiz. 72(1), 238247 (1977)]. Both results quantify irreversible behavior by comparing probabilities of observing particular microscopic trajectories during thermodynamic processes related by time-reversal, and both are expressed in terms of the work performed when driving the system away from equilibrium. By deriving these two predictions within a single, Hamiltonian framework, we clarify the precise relationship between them, and discuss how the different definitions of work used by the two sets of authors gives rise to different physical interpretations. We then obtain a extended fluctuation relation that contains both the Crooks and the Bochkov-Kuzovlev results as special cases.

Affiliated with

Also associated with

No associations

Rating

Comparison of work fluctuation relations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comparison of work fluctuation relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comparison of work fluctuation relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-541938