On stability, superstability and strong superstability of classical systems of Statistical Mechanics

2008/05/15 by A. L. Rebenko, Rebenko, Oleksey, Maksym Tertychnyi +1
Physics and Astronomy · #82B05 #82B21 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.0805.2252

openalex publication_date 2008/05/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Minimal Riesz energy point configurations for rectifiable d -dimensional manifolds

Related

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• Sharp stability for the interaction energy
• Thermodynamic Stability - A note on a footnote in Ruelle's book
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• Foundations of Statistical Mechanics and Theory of Phase Transition