Statistical work-energy theorems in deterministic dynamics
Abstract
We theoretically explore the Bochkov-Kuzovlev-Jarzynski-Crooks work theorems in a finite system subject to external control, which is coupled to a heat reservoir. We first elaborate the mechanical energy-balance between the system and the surrounding reservoir and proceed to formulate the statistical counterpart under the general nonequilibrium conditions. Consequently, a consistency condition is derived, underpinning the nonequilibrium equalities, both in the framework of the system-centric and nonautonomous Hamiltonian pictures and its utility is examined in a few examples. Also, we elucidate that the symmetric fluctuation associated with forward and backward manipulation of the nonequilibrium work is contingent on time-reversal invariance of the underlying mesoscopic dynamics.
Cite
@article{arxiv.1411.5101,
title = {Statistical work-energy theorems in deterministic dynamics},
author = {Chang Sub Kim},
journal= {arXiv preprint arXiv:1411.5101},
year = {2015}
}
Comments
16 pages, no figure