Maslov's complex germ and the asymptotic formula for the Gibbs canonical distribution

被引：0
|
作者：
O. Yu. Shvedov
机构：
[1] M. V. Lomonosov Moscow State University,
[2] Bristol University,undefined
来源：
Mathematical Notes | 1998年 / 64卷
关键词：
Maslov complex germ; Gibbs canonical distribution; system of; classical particles; partition function; free energy; chaos property;
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摘要：
The Gibbs canonical distribution for a system of N classical particles is studied under the following conditions: the external potential isO(1), the potential of pairwise interaction isO(1/N), the potential of triple interaction isO(1/N2), etc. The asymptotics of free energy and of the partition function asN→∞ is found. An asymptotic formula approximating the normalized canonical distribution in theL1 norm asN→∞ is also constructed. It is proved that the chaos property is satisfied fork-particle distributions,k = const, and is not satisfied for theN-particle distribution.
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页码：537 / 550
页数：13
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