Response theory identifies reaction coordinates and explains critical phenomena in noisy interacting systems

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
N Zagli, V Lucarini and G A Pavliotis
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引用次数: 0

Abstract

We consider a class of nonequilibrium systems of interacting agents with pairwise interactions and quenched disorder in the dynamics featuring, in the thermodynamic limit, phase transitions. We identify mathematical conditions on the microscopic interaction structure, namely the separability of the interaction kernel, that lead to a dimension reduction of the system in terms of a finite number of reaction coordinates (RCs). Such RCs prove to be proper nonequilibrium thermodynamic variables as they carry information on correlation, memory and resilience properties of the system. Phase transitions can be identified and quantitatively characterised as singularities of the complex valued susceptibility functions associated to the RCs. We provide analytical and numerical evidence of how the singularities affect the physical properties of finite size systems.
反应理论确定反应坐标,解释嘈杂互动系统中的临界现象
我们考虑了一类具有成对相互作用和淬火无序动力学特征的非平衡系统,该系统在热力学极限下具有相变特征。我们确定了微观相互作用结构的数学条件,即相互作用内核的可分离性,从而以有限数量的反应坐标(RC)来降低系统的维度。这些反应坐标被证明是适当的非平衡热力学变量,因为它们承载着系统的相关性、记忆性和复原性信息。相变可以通过与 RC 相关的复值易感性函数的奇异性来识别和定量表征。我们提供了奇点如何影响有限尺寸系统物理特性的分析和数值证据。
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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