Relaxation to equilibrium of conservative dynamics I~: Zero range processes

E.Janvresse, C. Landim, J. Quastel and H.-T. Yau

Under mild assumptions we prove that for any local function $u$ the decay rate to equilibrium in the variance sense of zero range dynamics on the d-dimensional integer lattice is C_u t^{-d/2} + o(t^{-d/2}). The constant $C_u$ is computed explicitly.