Tsallis thermostatics as a statistical physics of random chains
Abstract
In this paper we point out that the generalized statistics of Tsallis-Havrda-Charv\'at can be conveniently used as a conceptual framework for statistical treatment of random chains. In particular, we use the path-integral approach to show that the ensuing partition function can be identified with the partition function of a fluctuating oriented random loop of arbitrary length and shape in a background scalar potential. To put some meat on the bare bones, we illustrate this with two statistical systems; Schultz-Zimm polymer and relativistic particle. Further salient issues such as the transformation properties of Tsallis' inverse-temperature parameter and a grandcanonical ensemble of fluctuating random loops related to the Tsallis-Havrda-Charv\'at statistics are also briefly discussed.
Cite
@article{arxiv.1610.07110,
title = {Tsallis thermostatics as a statistical physics of random chains},
author = {Petr Jizba and Jan Korbel and Václav Zatloukal},
journal= {arXiv preprint arXiv:1610.07110},
year = {2017}
}