Lagrangian phase transitions in nonequilibrium thermodynamic systems

Details Lagrangian phase transitions in nonequilibrium thermodynamic systems Lagrangian phase transitions in nonequilibrium thermodynamic systems

2010-05-10

arxiv.org/abs/1005.1489v3

J. Stat. Mech. Theory Exp. L11001 (2010)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 figures

Scientific paper

10.1088/1742-5468/2010/11/L11001

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.

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