Non-Isothermal Fluctuation-Dissipation Relations and Brownian Thermometry
Statistical Mechanics
2014-06-10 v1
Abstract
The classical theory of Brownian motion rests on fundamental laws of statistical mechanics, such as the equipartition theorem and the fluctuation-dissipation theorem, which are not applicable in non-isothermal situations. We derive the generalized fluctuation-dissipation relations and Langevin equations governing such non-isothermal Brownian motion, including explicit results for the frequency-dependent noise temperature and Brownian thermometry far from equilibrium.
Cite
@article{arxiv.1406.2116,
title = {Non-Isothermal Fluctuation-Dissipation Relations and Brownian Thermometry},
author = {Gianmaria Falasco and Manuel Victor Gnann and Klaus Kroy},
journal= {arXiv preprint arXiv:1406.2116},
year = {2014}
}
Comments
5 pages, 2 figures, and supplemental material