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arXiv · 1910.04777

Landau Theory for Non-Equilibrium Steady States

Camille Aron·Claudio Chamon
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Abstract

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.

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Camille Aron, Claudio Chamon. 2019-10-10. Landau Theory for Non-Equilibrium Steady States. https://doi.org/10.21468/scipostphys.8.5.074

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