Long range correlations and phase transition in non-equilibrium diffusive systems

Abstract

We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles.In both cases, the two-point correlation functions allow to detect the occurrence of a phase transition as they become singular when the system approaches the transition.

References in corpus (6)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Phase Coexistence in Driven One Dimensional Transport
• Stochastic interacting particle systems out of equilibrium
• Universal cumulants of the current in diffusive systems on a ring
• Cumulants and large deviations of the current through non-equilibrium steady states
• Entropy of Open Lattice Systems

Cited by in corpus (46)

• Macroscopic fluctuation theory
• Hyperuniform States of Matter
• Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems
• Time-(ir)reversibility in active matter: from micro to macro
• Ergodicity and large deviations in physical systems with stochastic dynamics
• Large deviations and dynamical phase transitions in stochastic chemical networks
• Generic Dynamical Phase Transition in One-Dimensional Bulk-Driven Lattice Gases with Exclusion
• Dynamical phase transitions in the current distribution of driven diffusive channels
• Le Chatelier principle for out of equilibrium and boundary driven systems : application to dynamical phase transitions
• Equilibrium-like fluctuations in some boundary-driven open diffusive systems
• Universality in dynamical phase transitions of diffusive systems
• Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
• A diffusive system driven by a battery or by a smoothly varying field
• Bose-Einstein condensation of Efimovian triples in the unitary Bose gas
• Non-KPZ modes in two-species driven diffusive systems
• Phase diagram of the ABC model on an interval
• Fractional diffusion equation description of an open anomalous heat conduction set-up
• Large deviations and optimal control forces for hard particles in one dimension
• Effective Hamiltonians and Lagrangians for conditioned Markov processes at large volume
• Phase fluctuations in the ABC model
• Aging processes in systems with anomalous slow dynamics
• Large deviations in the symmetric simple exclusion process with slow boundaries
• On the nonequilibrium relation between potential and stationary distribution for driven diffusion
• Tricritical behavior in dynamical phase transitions
• Phase diagram of the ABC model with nonconserving processes
• Current large deviations for partially asymmetric particle systems on a ring
• Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
• Thermodynamics of trajectories of the one-dimensional Ising model
• On the dynamical behavior of the ABC model
• Ensemble inequivalence : Landau theory and the ABC model
• Molecular dynamics study of shear-induced long-range correlations in simple fluids
• The grand canonical ABC model: a reflection asymmetric mean field Potts model
• Phase diagram of the ABC model with nonequal densities
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
• Anomalous long-range correlations at a non-equilibrium phase transition
• Large deviations for out of equilibrium correlations in the symmetric simple exclusion process
• Long-ranged correlations in large deviations of local clustering
• Phase diagram of a generalized ABC model on the interval
• Transport-induced correlations in weakly interacting systems
• Relaxation processes in a system with logarithmic growth
• Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond
• Drift of phase fluctuations in the ABC model
• Finite size corrections to the large deviation function of the density in the one dimensional symmetric simple exclusion process
• Large-time asymptotic of heavy tailed renewal processes
• Mapping current and activity fluctuations in exclusion processes: consequences and open questions
• Anomalous fluctuations of renewal-reward processes with heavy-tailed distributions