Convergence to equilibrium of conservative particle systems on Zd

• 成果类型: Article
• 署名作者: Landim, C; Yau, HT
• 署名单位: Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); New York University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2003
• 页码: 115-147
• 关键词: logarithmic sobolev inequality; spectral gap; DYNAMICS; kawasaki

摘要

We consider the Ginzburg-Landau process on the lattice Z(d) 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/2) up to a logarithmic correction, for any function a with finite triple norm; that is, \\\u\\\ = Sigma(xis an element ofzd) \\partial derivative(etax)u\\(infinity) < infinity.