Uniform Poincare inequalities for unbounded conservative spin systems: The non-interacting case

Abstract

We prove a uniform Poincare' inequality for non-interacting unbounded spin systems with a conservation law, when the single-site potential is a bounded perturbation of a convex function. The result is then applied to Ginzburg-Landau processes to show diffusive scaling of the associated spectral gap.

19 pages, revised version, to appear in Stoch. Proc. Appl