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Article Dans Une Revue Physical Review Research Année : 2020

Non-Analytic Non-Equilibrium Field Theory: Stochastic Reheating of the Ising Model

Résumé

Many-body non-equilibrium steady states can still be described by a Landau-Ginzburg theory if one allows non-analytic terms in the potential. We substantiate this claim by working out the case of the Ising magnet in contact with a thermal bath and undergoing stochastic reheating: it is reset to a paramagnet at random times. By a combination of stochastic field theory and Monte Carlo simulations, we unveil how the usual $\varphi^4$ potential is deformed by non-analytic operators of intrinsic non-equilibrium nature. We demonstrate their infrared relevance at low temperatures by a renormalization-group analysis of the non-equilibrium steady state. The equilibrium ferromagnetic fixed point is thus destabilized by stochastic reheating, and we identify the new non-equilibrium fixed point.

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hal-03064249 , version 1 (14-12-2020)

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Camille Aron, Manas Kulkarni. Non-Analytic Non-Equilibrium Field Theory: Stochastic Reheating of the Ising Model. Physical Review Research, 2020, 2 (4), pp.043390. ⟨10.1103/PhysRevResearch.2.043390⟩. ⟨hal-03064249⟩
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