Open Access

On stability, superstability and strong superstability of classical systems of statistical mechanics

Abstract

A detailed analysis of conditions on 2-body interaction potential, which ensure stability, superstability or strong superstability of statistical systems is given. We give a connection between conditions of superstability (strong superstability) and the problem of minimization of Riesz energy in bounded volumes.

Article Information

 Title On stability, superstability and strong superstability of classical systems of statistical mechanics Source Methods Funct. Anal. Topology, Vol. 14 (2008), no. 3, 287-296 MathSciNet MR2458492 Copyright The Author(s) 2008 (CC BY-SA)

Authors Information

A. L. Rebenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

M. V. Tertychnyi
Kyiv National Taras Shevchenko University, Physics Faculty, Kyiv, Ukraine

Citation Example

A. L. Rebenko and M. V. Tertychnyi, On stability, superstability and strong superstability of classical systems of statistical mechanics, Methods Funct. Anal. Topology 14 (2008), no. 3, 287-296.

BibTex

@article {MFAT452,
AUTHOR = {Rebenko, A. L. and Tertychnyi, M. V.},
TITLE = {On  stability, superstability and strong superstability of classical systems of statistical mechanics},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {14},
YEAR = {2008},
NUMBER = {3},
PAGES = {287-296},
ISSN = {1029-3531},
MRNUMBER = {MR2458492},
URL = {http://mfat.imath.kiev.ua/article/?id=452},
}