Heat processes in non-equilibrium stochastic systems
Abstract
This thesis is devoted to the theoretical study of slow thermodynamic processes in non-equilibrium stochastic systems. Its main result is a physically and mathematically consistent construction of relevant thermodynamic quantities in the quasistatic limit for a large class of non-equilibrium models. As an application of general methods a natural non-equilibrium generalization of heat capacity is introduced and its properties are analyzed in detail, including an anomalous far-from-equilibrium behavior. The developed methods are further applied to the related problem of time-scale separation where they enable to describe the effective dynamics of both slow and fast degrees of freedom in a more precise way.
Cite
@article{arxiv.1407.7434,
title = {Heat processes in non-equilibrium stochastic systems},
author = {Jiří Pešek},
journal= {arXiv preprint arXiv:1407.7434},
year = {2014}
}
Comments
178 pages, 19 figures, 2 tables, PHD thesis; defended in October 2013 at Faculty of Mathematics and Physics at Charles University in Prague