A work fluctuation theorem for a Brownian particle in a non confining potentia
Statistical Mechanics
2021-02-12 v1
Abstract
Using the Feynman-Kac formula, a work fluctuation theorem for a Brownian particle in a nonconfining potential, e.g., a potential well with finite depth, is derived. The theorem yields aninequality that puts a lower bound on the average work needed to change the potential in time.In comparison to the Jarzynski equality, which holds for confining potentials, an additional termdescribing a form of energy related to the never ending diffusive expansion appears.
Keywords
Cite
@article{arxiv.2101.03568,
title = {A work fluctuation theorem for a Brownian particle in a non confining potentia},
author = {Christoph Streißnig and Holger Kantz},
journal= {arXiv preprint arXiv:2101.03568},
year = {2021}
}