Oleksey Rebenko, Maksym Tertychnyi
Published 2008-05-15, updated 2008-06-11Version 2
A detailed analysis of conditions on 2-body interaction potential, which ensure stability, superstability or strong superstability of statistical systems is given. There has been given the connection between conditions of superstability (strong superstability) and the problem of minimization of Riesz energy in the bounded volumes
Sufficient conditions for superstability of many-body interactions
Statistical mechanics of anharmonic lattices
Explicit formulas for the Riesz energy of the $N$th roots of unity
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