Thermodynamic Bethe ansatz for generalized extensive statistics
Abstract
We investigate properties of the entropy density related to a generalized extensive statistics and derive the thermodynamic Bethe ansatz equation for a system of relativistic particles obeying such a statistics. We investigate the conformal limit of such a system. We also derive a generalized Y-system. The Gentile intermediate statistics and the statistics of gamma-ons are considered in detail. In particular, we observe that certain thermodynamic quantities for the Gentile statistics majorize those for the Haldane-Wu statistics. Specifically, for the effective central charges related to affine Toda models we obtain nontrivial inequalities in terms of dilogarithms.
Keywords
Cite
@article{arxiv.hep-th/0011004,
title = {Thermodynamic Bethe ansatz for generalized extensive statistics},
author = {Andrei G. Bytsko},
journal= {arXiv preprint arXiv:hep-th/0011004},
year = {2011}
}
Comments
20 pages (LaTex) + 5 figures; discussion on positivity and nondegeneracy conditions is improved, a remark on Haldane-Wu statistics is corrected