Renormalized Theory of Infinitely Driven Lattice Gases

1999/10/20 by F. de los Santos, Miguel A. Muñoz, Santos, F. de los +1
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed Matter (cond-mat) #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9910295

To appear in Phys. Rev. E. 3 figures

arxiv created 1999/10/20 · openalex publication_date 1999/10/20 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We use field theoretic renormalization group methods to study the critical behavior of a recently proposed Langevin equation for driven lattice gases under infinitely fast drive. We perform an expansion around the upper critical dimension, d_c=4, and obtain the critical exponents to one loop order. The main features of the two loop calculation are also outlined. The renormalized theory is shown to exhibit a behavior different from the standard field theory for the DLG with finite driving, \em i.e. it is not mean field like.

Related

• Finite-Size Critical Behavior of the Driven Lattice Gas
• Finite-Size Scaling in the Driven Lattice Gas
• Nonperturbative treatment of a quenched Langevin field theory
• From local to critical fluctuations in lattice models: A nonperturbative renormalization-group approach
• Survey on Lattice Gas Models on 2D Lattices: Critical Behavior of Closed Trajectories