English

Exact expression for the large deviations of mesoscopic currents

Statistical Mechanics 2016-04-19 v1

Abstract

Large deviations quantify the occurrence of events that depart from the average behavior of a system. In this note we derive an exact expression for their moment generating function. This expression offers a new tool to investigate the behavior of mesoscopic systems. To illustrate our result, we derive the exact formulae for the current fluctuations in a disordered ring and in a model of ion transport through a membrane.

Keywords

Cite

@article{arxiv.1604.04844,
  title  = {Exact expression for the large deviations of mesoscopic currents},
  author = {David Andrieux},
  journal= {arXiv preprint arXiv:1604.04844},
  year   = {2016}
}
R2 v1 2026-06-22T13:34:06.053Z