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