Kronecker's Double Series and Exact Asymptotic Expansion for Free Models of Statistical Mechanics on Torus

Preprint

26 February 2001

preprint
Published by arXiv in arXiv

Abstract

For the free models of statistical mechanics on torus, exact asymptotic expansion of the free energy in the vicinity of the critical point is found. It is shown that there is direct relation between the terms of the expansion and the Kronecker's double series. The latter can be expressed in terms of the elliptic theta-functions in all orders of the asymptotic expansion.

Keywords

EXACT ASYMPTOTIC EXPANSION
KRONECKER'S DOUBLE SERIES
MODELS OF STATISTICAL
CRITICAL POINT
STATISTICAL

All Related Versions

Version 1, 2001-02-26, ArXiv
Version 2, 2002-04-03, ArXiv
Version 3, 2002-04-04, ArXiv
Published version: Journal of Physics A: General Physics, 35 (27), 5543.

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