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, dc = 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. Since it was first introduced by Katz et al. [1], the driven lattice gas model (DLG hereafter) has attracted considerable interest [2, 3]. Being one of the simplest archetypes of non-equilibrium model its study may contribute to pave the way for an understanding of out of equilibrium systems. The DLG consists of a periodic regular lattice on which nearest-neighbor particle-hole exchanges are performed. The hopping rate is determined by the energetics of the Ising Hamiltonian H , the coupling to a thermal bath at temperature T , and an external uniform driving field E pointing along a specific lattice axis. In particular, the hoping rate depends on [(∆H + lE)/T ], where ∆H