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arXiv:hep-th/9307184 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

Quantum mechanics and thermodynamics of particles with distance-dependent statistics

Stefan V. Mashkevich

Published Dec 15, 1993• 4 citations
arXivHTMLPDF

Abstract

The general notion of distance-dependent statistics in anyonlike systems is discussed. The two-body problem for such statistics is considered, the general formula for the second virial coefficient is derived, and it is shown that in the limiting cases it reproduces the known results for ideal anyons.
DOI
10.1103/physrevd.48.5953

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We propose a new generalized statistical mechanics for anyons based on a simple ansatz that has the correct familiar limiting cases. We derive the anyon equation of state from the grand partition function. We develop the virial expansion and obtain all the virial coefficients. Furthermore, we demonstrate how thermodynamic quantities such as the molar specific heat can readily be calculated. We discuss the properties of semions and also demonstrate that ideal non-relativistic anyons do not exhibit finite temperature condensation.
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