Analyticity for Locally Stable Hard-Core Gases Via Recursion

IF 1.3 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Qidong He
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引用次数: 0

Abstract

In their recent works [Comm Math Phys 399:367–388 (2023)] and [Comm Math Phys 406:32 (2025)], Michelen and Perkins proved that the pressure of a system of particles with repulsive pair interactions is analytic for activities in a complex neighborhood of \([0,e\Delta _{\phi }(\beta )^{-1})\), where \(\Delta _{\phi }(\beta )\in (0,C_{\phi }(\beta )]\) denotes what they call the potential-weighted connective constant. This paper extends their method to locally stable (possibly attractive), tempered, and hard-core pair potentials. We obtain an analogous analyticity result that is most effective in the high-temperature regime, where it surpasses the classical Penrose-Ruelle bound of \(C_{\phi }(\beta )^{-1}e^{-(\beta C+1)}\) by at least a factor of \(e^{2}\). The main ingredients in the proof include a recursive identity for the one-point density tailored to locally stable hard-core potentials and a corresponding notion of modulations of an activity function.

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来源期刊
Journal of Statistical Physics
Journal of Statistical Physics 物理-物理:数学物理
CiteScore
3.10
自引率
12.50%
发文量
152
审稿时长
3-6 weeks
期刊介绍: The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.
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