Fe b 20 01 Kronecker ’ s Double Series and Exact Asymptotic Expansion for Free Models of Statistical Mechanics on Torus
نویسنده
چکیده
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 θ-functions in all orders of the asymptotic expansion.
منابع مشابه
A pr 2 00 2 Kronecker ’ s Double Series and Exact Asymptotic Expansion for Free Models of Statistical Mechanics on Torus
For the free models of statistical mechanics on torus, exact asymptotic expansions of the free energy, the internal energy and the specific heat in the vicinity of the critical point are 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 θ-functions in all orders of the asymp...
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تاریخ انتشار 2001