1999/01/04 by Dirk Helbing, David Mukamel, Gunter M. Schütz +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #comp-gas #cond-mat.stat-mech #nlin.CG
paper · pdf · doi:10.1103/physrevlett.82.10
published as Physical Review Letters 82, 10-13 (1999) · For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html
openalex publication_date 1999/01/04 · arxiv created 1999/01/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.