Variational Principle in Langevin Processes
Statistical Mechanics
2013-07-24 v1
Abstract
The recent work, Nemoto and Sasa [Phys. Rev. E, 83: 030105(R) (2011)], has shown that large deviations of the current characterizing a nonequilibrium system are obtained by observing the typical current for a modified system specified by a variational principle. In the present study, we will give a generalized version of the Nemoto-Sasa study by extracting a hidden mathematical structure from the fluctuation-response relation which is well-known in statistical mechanics. Here, the minimization of the Kullback-Leibler divergence plays an essential role.
Cite
@article{arxiv.1307.6111,
title = {Variational Principle in Langevin Processes},
author = {Yuki Sughiyama and Masayuki Ohzeki},
journal= {arXiv preprint arXiv:1307.6111},
year = {2013}
}