Landau theory for non-equilibrium steady states

  title={Landau theory for non-equilibrium steady states},
  author={Camille Aron and Claudio Chamon},
  journal={SciPost Physics},
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… 

Nonanalytic nonequilibrium field theory: Stochastic reheating of the Ising model

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

Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system

In this work we study many-body ‘steady states’ that arise in the non-Hermitian generalisation of the non-interacting Su-Schrieffer-Heeger model at a finite density of fermions. We find that the

Control of cell state transitions

The ability of cSTAR to identify targeted perturbations that interconvert cell fates will enable designer approaches for manipulating cellular development pathways and mechanistically underpinned therapeutic interventions.

Disentangling representations in Restricted Boltzmann Machines without adversaries

This work proposes a simple, effective way of disentangling representations without any need to train adversarial discriminators, and applies this approach to Restricted Boltzmann Machines (RBM), one of the simplest representation-based generative models.

Landau theory for finite-time dynamical phase transitions

. We study the time evolution of thermodynamic observables after an instantaneous temperature quench. Combining tools from stochastic thermodynamics and large-deviation theory, we develop a powerful



Driven-dissipative Ising model: Mean-field solution

We study the fate of the Ising model and its universal properties when driven by a rapid periodic drive and weakly coupled to a bath at equilibrium. The far-from-equilibrium steady-state regime is

Impurity model for non-equilibrium steady states

We propose an out-of-equilibrium impurity model for the dynamical mean-field description of the Hubbard model driven by a finite electric field. The out-of-equilibrium impurity environment is

Nonequilibrium mean-field theory of resistive phase transitions

We investigate the quantum mechanical origin of resistive phase transitions in solids driven by a constant electric field in the vicinity of a metal-insulator transition. We perform a nonequilibrium

Two-temperature nonequilibrium Ising models: Critical behavior and universality.

  • TamayoAlexanderGupta
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1994
Strong evidence is presented that some of these nonequilibriumNonequilibrium Ising models have the same critical exponents, and belong to the same universality class as the equilibrium 2D Ising model.

Critical Dynamics: A Field Theory Approach to Equilibrium and Non-Equilibrium Scaling Behavior

Part I. Near-Equilibrium Critical Dynamics: 1. Equilibrium critical phenomena 2. Stochastic dynamics 3. Dynamic scaling 4. Dynamic perturbation theory 5. Dynamic renormalization group 6. Hydrodynamic

Simple nonequilibrium extension of the Ising model.

  • AchahbarAlonsoMuñoz
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1996
A simple nonequilibrium version of the Ising model, exhibiting an order-disorder phase transition, is introduced, and it is made that the model belongs in the equilibrium Isingmodel universality class confirming a well known conjecture.

Dynamic phase transition, universality, and finite-size scaling in the two-dimensional kinetic Ising model in an oscillating field.

This work focuses on the multidroplet regime of the two-dimensional kinetic Ising model, where the metastable phase decays through nucleation and growth of many droplets of the stable phase, and investigates the universal aspects of this dynamic phase transition at various temperatures and field amplitudes via large-scale Monte Carlo simulations.

Dynamic phase transition in the two-dimensional kinetic Ising model in an oscillating field: universality with respect to the stochastic dynamics.

The results reported in the present paper support the hypothesis that this far-from-equilibrium phase transition is universal with respect to the choice of the stochastic dynamics.

Non-equilibrium critical phenomena and phase transitions into absorbing states

This review addresses recent developments in non-equilibrium statistical physics. Focusing on phase transitions from fluctuating phases into absorbing states, the universality class of directed

On Growth, Disorder, and Field Theory

This article reviews recent developments in statistical field theory far from equilibrium. It focuses on the Kardar-Parisi-Zhang equation of stochastic surface growth and its mathematical relatives,