We investigate the nonequilibrium 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 mappings to other models are briefly discussed.
Physical Review Letters
- Pub Date:
- January 1999
- Condensed Matter - Statistical Mechanics;
- Nonlinear Sciences - Cellular Automata and Lattice Gases
- For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html