Sufficient conditions for superstability of many-body interactions
Maksym Tertychnyi
TL;DR
This paper analyzes the necessary conditions for many-body potentials to ensure various stability properties in statistical systems, providing theoretical insights and an example of superstability.
Contribution
It offers a detailed theoretical framework for conditions guaranteeing superstability in many-body interactions, including an illustrative example.
Findings
Identified necessary conditions for superstability
Provided an example of superstable many-body interaction
Clarified the relationship between stability conditions and potentials
Abstract
A detailed analysis of necessary 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.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Theoretical and Computational Physics · Advanced Thermodynamics and Statistical Mechanics