Le Chatelier principle for out of equilibrium and boundary driven systems : application to dynamical phase transitions

Abstract

A stability analysis of out of equilibrium and boundary driven systems is presented. It is performed in the framework of the hydrodynamic macroscopic fluctuation theory and assuming the additivity principle whose interpretation is discussed with the help of a Hamiltonian description. An extension of Le Chatelier principle for out of equilibrium situations is presented which allows to formulate the conditions of validity of the additivity principle. Examples of application of these results in the realm of classical and quantum systems are provided.

arXiv comment9 pages, no figures, supplemental material included

References in corpus (32)

• The large deviation approach to statistical mechanics
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Electron Counting Statistics and Coherent States of Electric Current
• Heat Transport in low-dimensional systems
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Macroscopic fluctuation theory
• Current fluctuations in non-equilibrium diffusive systems: an additivity principle
• Conduction of Ultracold Fermions Through a Mesoscopic Channel
• Distribution of current in non-equilibrium diffusive systems and phase transitions
• A mesoscopic description of radiative heat transfer at the nanoscale
• Fluctuation theorem in quantum heat conduction
• Energy flow in non-equilibrium conformal field theory
• Non equilibrium current fluctuations in stochastic lattice gases
• Stochastic Path Integral Formulation of Full Counting Statistics
• Universal cumulants of the current in diffusive systems on a ring
• Current fluctuations in the one dimensional Symmetric Exclusion Process with open boundaries
• The Exclusion Process: A paradigm for non-equilibrium behaviour
• Spin Imbalance and Spin-Charge Separation in a Mesoscopic Superconductor
• Cumulants and large deviations of the current through non-equilibrium steady states
• Nonequilibrium thermal transport and its relation to linear response
• Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems
• Fluctuation Statistics in Networks: a Stochastic Path Integral Approach
• Current large deviations for Asymmetric Exclusion Processes with open boundaries
• Dynamical phase transition for current statistics in a simple driven diffusive system
• Test of the Additivity Principle for Current Fluctuations in a Model of Heat Conduction
• Long range correlations and phase transition in non-equilibrium diffusive systems
• Lagrangian phase transitions in nonequilibrium thermodynamic systems
• Equilibrium-like fluctuations in some boundary-driven open diffusive systems
• Validity of the additivity principle in the weakly asymmetric exclusion process with open boundaries
• Void formation in diffusive lattice gases
• Additivity Principle in High-dimensional Deterministic Systems
• Singularities in Large Deviation Functionals of Bulk-Driven Transport Models

Cited by in corpus (33)

• Dynamical symmetry breaking and phase transitions in driven diffusive systems
• Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
• Dynamical phase transitions in the current distribution of driven diffusive channels
• Order and symmetry-breaking in the fluctuations of driven systems
• Sampling rare events across dynamical phase transitions
• Universality in dynamical phase transitions of diffusive systems
• Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
• Full Statistics of Nonstationary Heat Transfer in the Kipnis-Marchioro-Presutti Model
• Numerical Study of Continuous and Discontinuous Dynamical Phase Transitions for Boundary Driven Systems
• Arrhenius law for interacting diffusive systems
• Entropy production and its large deviations in an active lattice gas
• Large deviations in chaotic systems: exact results and dynamical phase transition
• Weak additivity principle for current statistics in d-dimensions
• Geometrical Interpretation of Dynamical Phase Transitions in Boundary Driven Systems
• Tricritical behavior in dynamical phase transitions
• The kinetic exclusion process: a tale of two fields
• Occupation time statistics of a gas of interacting diffusing particles
• Dynamical criticality in open systems: non-perturbative physics, microscopic origin and direct observation
• Out-of-Equilibrium Spin Transport in Mesoscopic Superconductors
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Emerging universality classes in thermally-assisted activation of interacting diffusive systems: A perturbative hydrodynamic approach
• Fluctuations of absorption of interacting diffusing particles by multiple absorbers
• Persistent fluctuations of the swarm size of Brownian bees
• Nonequilibrium steady state of Brownian motion in an intermittent potential
• Diffusion and entanglement in open quantum systems
• Current fluctuations in a stochastic system of classical particles with next-nearest-neighbor interactions
• Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems
• Infinite family of universal profiles for heat current statistics in Fourier's law
• Uncertainty Relations for Mesoscopic Coherent Light
• Systematic analysis of critical exponents in continuous dynamical phase transitions of weak noise theories
• Understanding random-walk dynamical phase coexistence through waiting times
• Full distribution of the ground-state energy of potentials with weak disorder
• Structure of the optimal path to a fluctuation