Lagrangian phase transitions in nonequilibrium thermodynamic systems

Abstract

In previous papers we have introduced a natural nonequilibrium free energy by considering the functional describing the large fluctuations of stationary nonequilibrium states. While in equilibrium this functional is always convex, in nonequilibrium this is not necessarily the case. We show that in nonequilibrium a new type of singularities can appear that are interpreted as phase transitions. In particular, this phenomenon occurs for the one-dimensional boundary driven weakly asymmetric exclusion process when the drift due to the external field is opposite to the one due to the external reservoirs, and strong enough.

10 pages, 2 figures

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Cited by in corpus (33)

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• Macroscopic Stochastic Thermodynamics
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• Geometrical Interpretation of Dynamical Phase Transitions in Boundary Driven Systems
• Spontaneous symmetry breaking: variations on a theme
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• Large Deviations in Renewal Models of Statistical Mechanics
• Singularities in Large Deviation Functionals of Bulk-Driven Transport Models
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
• Transport-induced correlations in weakly interacting systems
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• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• Finite size corrections to the large deviation function of the density in the one dimensional symmetric simple exclusion process
• Lecture notes on large deviations in non-equilibrium diffusive systems
• Dimensionality-induced dynamical phase transition in the large deviation of local time density for Brownian motion
• Microscopic and macroscopic perspectives on stationary nonequilibrium states
• Large Deviations in Renewal Theory and Renewal Models of Statistical Mechanics
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