F. de los Santos — Page 2

arXiv1999

Renormalized Field Theory of Infinitely Driven Lattice Gases

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 then outlined. The renormalized theory is shown to exhibit a behavior different from the standard field theory for the DLG, i.e. it is not mean field like.

cond-mat.stat-mech↗

arXiv1998

Continuum Field Description of Driven Lattice Gases

We review the critical behaviour of the Driven Lattice Gas (DLG) model. As a result, we obtain a novel Langevin equation for the DLG which depends on the microscopic transition probabilities. We then show how this dependence affects the critical behaviour of the the DLG placing the finite and the infinite driving field cases into different universality classes. Two other well known anisotropic, conservative, non-equilibrium models, the two-temperature model and the randomly driven model (RDLG) are also studied. It is shown that the RDLG with infinite averaged field and the two-temperature model with infinite parallel temperature fall in the same universality class as the infinitely driven DLG. A Langevin equation for the two-layer DLG is also presented.

cond-mat↗