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Response theory identifies reaction coordinates and explains critical phenomena in noisy interacting systems
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).ORCID iD: 0000-0003-4509-1615
Number of Authors: 32024 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 57, no 32, article id 325004Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2024. Vol. 57, no 32, article id 325004
Keywords [en]
collective variables, critical phenomena, linear response, multiagent models, nonequilibrium systems, resilience, statistical mechanics
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:su:diva-238016DOI: 10.1088/1751-8121/ad6068ISI: 001275851600001Scopus ID: 2-s2.0-85199706539OAI: oai:DiVA.org:su-238016DiVA, id: diva2:1928605
Available from: 2025-01-17 Created: 2025-01-17 Last updated: 2025-02-14Bibliographically approved

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Zagli, Niccolò

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