Journal of statistical physics vol:61 issue:3-4 pages:667-681
An anisotropic lattice gas dynamics is investigated for which particles on Z(d) jump to empty nearest neighbor sites with (fast) rate epsilon-2 in a specified direction and some particular configuration-dependent rates in the other directions. The model is translation and reflection invariant and is particle conserving. The space coordinate in the "fast-rate" direction is rescaled by epsilon-1. It follows that the density field converages in probability, as epsilon-down 0, to the corresponding solution of a nonlinear diffusion-type equation. The microscopic fluctuations about the deterministic macroscopic evolution are determined explicitly and it is found that the stationary fluctuations decay via a power law (approximately 1/r(d)) with the direction dependence of a quadrupole field.