Lagrangian phase transitions in nonequilibrium thermodynamic systems
| Autor: | A. De Sole, Giovanni Jona-Lasinio, Davide Gabrielli, Lorenzo Bertini, Claudio Landim |
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| Rok vydání: | 2010 |
| Předmět: |
Statistics and Probability
Physics Phase transition Statistical Mechanics (cond-mat.stat-mech) large deviations in non-equilibrium systems Non-equilibrium thermodynamics Boundary (topology) FOS: Physical sciences Statistical and Nonlinear Physics Type (model theory) Thermodynamic system symbols.namesake Classical mechanics stationary states symbols External field Gravitational singularity stochastic particle dynamics (theory) Statistics Probability and Uncertainty Lagrangian Condensed Matter - Statistical Mechanics stochastic particle dynamics (theory) stationary states large deviations in non-equilibrium systems |
| DOI: | 10.48550/arxiv.1005.1489 |
| Popis: | 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. Comment: 10 pages, 2 figures |
| Databáze: | OpenAIRE |
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