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

2008/05/15 by A. L. Rebenko, Oleksey Rebenko, Rebenko, Oleksey +2 · 11 citations
Mathematics · Physics and Astronomy · #82B05 #82B21 #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Bounded function #Computer science #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Physics #Quantum chaos and dynamical systems #Stability (learning theory) #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #math-ph #math.MP #msc:82B05 #msc:82B21

paper · pdf · doi:10.48550/arxiv.0805.2252

published in arXiv (Cornell University) (Cornell University) · 14 pages

openalex publication_date 2008/05/15 · arxiv created 2008/06/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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

• Sufficient conditions for superstability of many-body interactions
• Sharp stability for the interaction energy
• Thermodynamic Stability - A note on a footnote in Ruelle's book
• Foundations of Statistical Mechanics: in and out of Equilibrium
• Foundations of Statistical Mechanics and Theory of Phase Transition