Logarithmic Sobolev inequality for the inhomogeneous zero range process
arXiv:math/0606778
Abstract
We prove that the logarithmic Sobolev constant for the inhomogeneous symmetric nearest neighbour zero range process on a cube of size N^d grows as N^2. We apply this result to the inhomogeneous process which arises in the study of the homogeneous version of the zero range interacting particle system with colours.