M. V. Tertychnyi
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MFAT 14 (2008), no. 4, 386-396
A detailed analysis of sufficient conditions on a family of many-body potentials, which ensure stability, superstability or strong superstability of a statistical system is given in present work.There has been given also an example of superstable many-body interaction.
On stability, superstability and strong superstability of classical systems of statistical mechanics
MFAT 14 (2008), no. 3, 287-296
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.