Volume 48, Number 3, November I 1999
|Page(s)||257 - 263|
|Published online||01 September 2002|
Steady-state selection in driven diffusive systems with open boundaries
Institut für Festkörperforschung, Forschungszentrum Jülich - 52425 Jülich, Germany
2 Institute for Low Temperature Physics - 310164 Kharkov, Ukraine
Accepted: 2 September 1999
We investigate the stationary states of one-dimensional driven diffusive systems, coupled to boundary reservoirs with fixed particle densities. We argue that the generic phase diagram is governed by an extremal principle for the macroscopic current irrespective of the local dynamics. In particular, we predict a minimal current phase for systems with local minimum in the current density relation. This phase is explained by a dynamical phenomenon, the branching and coalescence of shocks; Monte Carlo simulations confirm the theoretical scenario.
PACS: 05.70.Fh – Phase transitions: general studies / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 02.50.Ga – Markov processes
© EDP Sciences, 1999
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