Entropy production as tool for characterizing nonequilibrium phase transitions

Abstract

Nonequilibrium phase transitions can be typified in a similar way to equilibrium systems, for instance, by the use of the order parameter. However, this characterization hides the irreversible character of the dynamics as well as its influence on the phase transition properties. Entropy production has revealed to be an important concept for filling this gap since it vanishes identically for equilibrium systems and is positive for the nonequilibrium case. Based on distinct and general arguments, the characterization of phase transitions in terms of the entropy production is presented. Analysis for discontinuous and continuous phase transitions has been undertaken by taking regular and complex topologies within the framework of mean field theory (MFT) and beyond the MFT. A general description of entropy production portraits for $Z_2$ (``up-down'') symmetry systems under the MFT is presented. Our main result is that a given phase transition, whether continuous or discontinuous has a specific entropy production hallmark. Our predictions are exemplified by an icon system, perhaps the simplest nonequilibrium model presenting an order-disorder phase transition and spontaneous symmetry breaking: the majority vote model. Our work paves the way to a systematic description and classification of nonequilibrium phase transitions through a key indicator of system irreversibility.

13 pages, 11 figures

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• Partial inertia induces additional phase transition in the explosive majority vote model
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• Entropy production of a bound nonequilibrium interface
• Finite-size scaling for discontinuous nonequilibrium phase transitions

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• A unifying framework for mean-field theories of asymmetric kinetic Ising systems
• Stochastic thermodynamics of all-to-all interacting many-body systems
• Entropy production at criticality in a nonequilibrium Potts model
• Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
• Exponential volume dependence of entropy-current fluctuations at first-order phase transitions in chemical reaction networks
• Diverging current fluctuations in critical Kerr resonators
• Thermodynamics of collisional models for Brownian particles: General properties and efficiency
• Nonequilibrium Phase Transition To Temporal Oscillations In Mean-Field Spin Models
• Quantum features of entropy production in driven-dissipative transitions
• Current fluctuations in nonequilibrium discontinuous phase transitions
• Discontinuous phase transition from ferromagnetic to oscillating states in a nonequilibrium mean-field spin model
• Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
• Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
• Stochastic thermodynamics of opinion dynamics
• Hyperaccurate bounds in discrete-state Markovian systems
• Entropy production and heat transport in harmonic chains under time dependent periodic drivings
• Critical heat current fluctuations in Curie-Weiss model in and out of equilibrium
• Nonequilibrium fluctuations of chemical reaction networks at criticality: The Schlögl model as paradigmatic case
• Entropy production dynamics in quench protocols of a driven-dissipative critical system
• The XY model with vision cone: non-reciprocal vs. reciprocal interactions
• Dissipation at limited resolutions: Power law and detection of hidden dissipative scales
• Entropy production of active Brownian particles going from liquid to hexatic and solid phases
• Collective oscillations in a three-dimensional spin model with non-reciprocal interactions
• Influence of distinct kinds of temporal disorder in discontinuous phase transitions
• Ergodicity Breaking and Scaling Relations for Finite-Time First-Order Phase Transition
• Irreversibility in Non-reciprocal Chaotic Systems
• Thermodynamic efficiency of self-organisation in nonequilibrium steady states
• Synchronization of thermodynamically consistent stochastic phase oscillators