Response theory identifies reaction coordinates and explains critical phenomena in noisy interacting systems
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Author(s)
Zagli, Niccolò
Lucarini, Valerio
Pavliotis, Grigorios A
Type
Journal Article
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.
Date Issued
2024-08-09
Date Acceptance
2024-07-08
Citation
Journal of Physics A: Mathematical and Theoretical, 2024, 57 (32)
ISSN
1751-8113
Publisher
IOP Publishing
Journal / Book Title
Journal of Physics A: Mathematical and Theoretical
Volume
57
Issue
32
Copyright Statement
© 2024 The Author(s). Published by IOP Publishing Ltd. Original Content from this work may be used under the terms of the Creative Commons Attribution
4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the
title of the work, journal citation and DOI.
4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the
title of the work, journal citation and DOI.
License URL
Identifier
http://dx.doi.org/10.1088/1751-8121/ad6068
Publication Status
Published
Article Number
325004
Date Publish Online
2024-07-25