Global Phase Diagram of a OneDimensional Driven Lattice Gas
Abstract
We investigate the nonequilibrium stationary state of a translationally invariant onedimensional driven lattice gas with shortrange 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.
 Publication:

Physical Review Letters
 Pub Date:
 January 1999
 DOI:
 10.1103/PhysRevLett.82.10
 arXiv:
 arXiv:condmat/9901158
 Bibcode:
 1999PhRvL..82...10H
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Nonlinear Sciences  Cellular Automata and Lattice Gases
 EPrint:
 For related work see http://www.theo2.physik.unistuttgart.de/helbing.html