2001/06/30 by Debashish Chowdhury, Jian‐Sheng Wang, Jian-Sheng Wang · 1 citation
Mathematics · Physics and Astronomy · Social Sciences · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Transportation Planning and Optimization #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.65.046126
published as Phys. Rev. E 65, 046126 (2002) · 12 RevTex pages
arxiv created 2001/08/14 · openalex publication_date 2002/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop n-cluster mean-field theories (1 < or = n < or = 4) for calculating the flux and the gap distribution in the nonequilibrium steady states of the Katz-Lebowitz-Spohn model of the driven diffusive lattice gas, with attractive and repulsive interparticle interactions, in both one and two dimensions for arbitrary particle densities, temperature as well as the driving field. We compare our theoretical results with the corresponding numerical data we have obtained from the computer simulations to demonstrate the level of accuracy of our theoretical predictions. We also compare our results with those for some other prototype models, notably particle-hopping models of vehicular traffic, to demonstrate the qualitative features we have observed in the Katz-Lebowitz-Spohn model, emphasizing, in particular, the consequences of repulsive interparticle interactions.