Landim, C.Yau, Horng-Tzer2017-05-182003Landim, Claudio, and Horng-Tzer Yau. 2003. "Convergence to equilibrium of conservative particle systems on ℤ\bmd." Annals of probability 31 (1): 115-147. doi:10.1214/aop/10462943060091-1798http://nrs.harvard.edu/urn-3:HUL.InstRepos:32707219We consider the Ginzburg--Landau process on the lattice ℤdZd whose potential is a bounded perturbation of the Gaussian potential. We prove that the decay rate to equilibrium in the variance sense is t−d/2t−d/2 up to a~logarithmic correction, for any function uu with finite triple norm; that is, |||u|||=∑x∈ℤd‖∂ηxu‖∞<∞|||u|||=∑x∈Zd‖∂ηxu‖∞<∞.en-USJournal Article2017-05-1810.1214/aop/1046294306