Report on 1910.04777v1

We examine how 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.