Landau theory for non-equilibrium steady states

We examine how systems in non-equilibrium steady states close to a continuous phase transition can still be described by a Landau potential if one forgoes the assumption of analyticity. In a system simultaneously coupled to several baths at different temperatures, the non-analytic potential arises f...

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Bibliographic Details
Main Author: Camille Aron, Claudio Chamon
Format: Article
Language:English
Published: SciPost 2020-05-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.8.5.074
Description
Summary:We examine how systems in non-equilibrium steady states close to a continuous phase transition can still be described by a Landau potential if one forgoes the assumption of analyticity. In a system simultaneously coupled to several baths at different temperatures, the non-analytic potential arises from the different density of states of the baths. In periodically driven-dissipative systems, the role of multiple baths is played by a single bath transferring energy at different harmonics of the driving frequency. The mean-field critical exponents become dependent on the low-energy features of the two most singular baths. We propose an extension beyond mean field.
ISSN:2542-4653