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

Abstract

Many-body non-equilibrium steady states can 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 ${\phi }^4$ 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.

16 pages, v2: minor edits

References in corpus (6)

• Stochastic Resetting and Applications
• Diffusion in a potential landscape with stochastic resetting
• Diffusion with resetting in arbitrary spatial dimension
• Ising model with stochastic resetting
• Domain growth morphology in curvature driven two dimensional coarsening
• Landau Theory for Non-Equilibrium Steady States

Cited by in corpus (8)

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• Absorbing phase transitions in systems with mediated interactions
• Manipulating phases in many-body interacting systems with subsystem resetting
• Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
• Control of spatiotemporal chaos by stochastic resetting
• Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium
• Localization of information driven by stochastic resetting