Joint fluctuation theorems for sequential heat exchange
Abstract
We study the statistics of heat exchange of a quantum system that collides sequentially with an arbitrary number of ancillas. This can describe, for instance, an accelerated particle going through a bubble chamber. Unlike other approaches in the literature, our focus is on the \emph{joint} probability distribution that heat is exchanged with ancilla 1, heat is exchanged with ancilla 2, and so on. This allows one to address questions concerning the correlations between the collisional events. The joint distribution is found to satisfy a Fluctuation theorem of the Jarzynski-W\'ojcik type. Rather surprisingly, this fluctuation theorem links the statistics of multiple collisions with that of independent single collisions, even though the heat exchanges are statistically correlated.
Cite
@article{arxiv.2003.02150,
title = {Joint fluctuation theorems for sequential heat exchange},
author = {Jader P. Santos and André M. Timpanaro and Gabriel T. Landi},
journal= {arXiv preprint arXiv:2003.02150},
year = {2020}
}