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29 March 2024
 
  » arxiv » hep-th/0011004

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Thermodynamic Bethe ansatz for generalized extensive statistics
Andrei G. Bytsko ;
Date 1 Nov 2000
Journal Nucl.Phys. B604 (2001) 455-478
Subject High Energy Physics - Theory; Statistical Mechanics | hep-th cond-mat.stat-mech
AbstractWe 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.
Source arXiv, hep-th/0011004
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