R\'enyi Entropy of Zeta-Urns
Statistical Mechanics
2023-12-07 v3 Mathematical Physics
math.MP
Abstract
We calculate analytically the Renyi entropy for the zeta-urn model with a Gibbs measure definition of the micro-state probabilities. This allows us to obtain the singularities in the R\'enyi entropy from those of the thermodynamic potential, which is directly related to the free energy density of the model. We enumerate the various possible behaviours of the R\'enyi entropy and its singularities, which depend on both the value of the power law in the zeta-urn and the order of the R\'enyi entropy under consideration
Keywords
Cite
@article{arxiv.2307.14472,
title = {R\'enyi Entropy of Zeta-Urns},
author = {Piotr Bialas and Zdzislaw Burda and Desmond A. Johnston},
journal= {arXiv preprint arXiv:2307.14472},
year = {2023}
}
Comments
Figures adjusted for clarity, some technical details moved to an appendix. Accepted for publication in Phys. Rev. E