English

Detailed Fluctuation Theorems: A Unifying Perspective

Statistical Mechanics 2018-10-11 v2 Mathematical Physics math.MP

Abstract

We present a general method to identify an arbitrary number of fluctuating quantities which satisfy a detailed fluctuation theorem for all times within the framework of time-inhomogeneous Markovian jump processes. In doing so we provide a unified perspective on many fluctuation theorems derived in the literature. By complementing the stochastic dynamics with a thermodynamic structure (i.e. using stochastic thermodynamics), we also express these fluctuating quantities in terms of physical observables.

Keywords

Cite

@article{arxiv.1807.09242,
  title  = {Detailed Fluctuation Theorems: A Unifying Perspective},
  author = {Riccardo Rao and Massimiliano Esposito},
  journal= {arXiv preprint arXiv:1807.09242},
  year   = {2018}
}

Comments

revtex format: 17 pages (12 + 5 for appendices), 7 figures, 3 tables. v2: published version, added an example

R2 v1 2026-06-23T03:12:52.751Z