English

Perspective on Physical Interpretations of R\'enyi Entropy in Statistical Mechanics

Statistical Mechanics 2024-08-29 v2

Abstract

R\'enyi entropy is a one-parameter generalization of Shannon entropy, which has been used in various fields of physics. Despite its wide applicability, the physical interpretations of the R\'enyi entropy are not widely known. In this paper, we discuss some basic properties of the R\'enyi entropy relevant to physics, in particular statistical mechanics, and its physical interpretations using free energy, replicas, work, and large deviation.

Keywords

Cite

@article{arxiv.2404.06436,
  title  = {Perspective on Physical Interpretations of R\'enyi Entropy in Statistical Mechanics},
  author = {Misaki Ozawa and Nina Javerzat},
  journal= {arXiv preprint arXiv:2404.06436},
  year   = {2024}
}