Driven diffusive system: A study on large n limit

We study the generalized $n$ component model of a driven diffusive system with annealed random drive in the large $n$ limit. This non-equilibrium model also describes conserved order parameter dynamics of an equilibrium model of ferromagnets with dipolar interaction. In this limit, at zero temperature a saddle point approximation becomes exact. The length scale in the direction transverse to the driving field acquires an additional logarithmic correction in this limit.