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Global Phase Diagram of a One-Dimensional Driven Lattice Gas

Dirk Helbing·David Mukamel·Gunter M. Schutz
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Abstract

We investigate the non-equilibrium stationary state of a translationally invariant one-dimensional driven lattice gas with short-range interactions. The phase diagram is found to exhibit a line of continuous transitions from a disordered phase to a phase with spontaneous symmetry breaking. At the phase transition the correlation length is infinite and density correlations decay algebraically. Depending on the parameters which define the dynamics, the transition either belongs to the universality class of directed percolation or to a universality class of a growth model which preserves the local minimal height. Consequences of some mappings to other models, including a parity-conserving branching-annihilation process are briefly discussed.

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Dirk Helbing, David Mukamel, Gunter M. Schutz. 1999-01-18. Global Phase Diagram of a One-Dimensional Driven Lattice Gas. https://doi.org/10.1103/physrevlett.82.10

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