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

Authors

  • M. V. Tertychnyi Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
  • A. L. Rebenko Kyiv National Taras Shevchenko University, Physics Faculty, Kyiv, Ukraine 

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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.

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Published

2008-09-25

Issue

Vol. 14 No. 3 (2008)

Section

Articles

How to Cite

Tertychnyi, M. V., and A. L. Rebenko. “On Stability, Superstability and Strong Superstability of Classical Systems of Statistical Mechanics”. Methods of Functional Analysis and Topology, vol. 14, no. 3, Sept. 2008, pp. 287-96, https://zen.imath.kiev.ua/index.php/mfat/article/view/391.