Convergence to equilibrium of conservative particle systems on Z\bmd

• C. Landim ^[1] ; H. T. Yau ^[2]
  1. [1] Instituto Nacional de Matemática Pura e Aplicada

     Instituto Nacional de Matemática Pura e Aplicada

     Brasil

     
  2. [2] New York University

     New York University

     Estados Unidos

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 31, Nº. 1, 2003, págs. 115-147
• Idioma: inglés
• DOI: 10.1214/aop/1046294306
• Texto completo no disponible (Saber más ...)
• Resumen

  • We consider the Ginzburg--Landau process on the lattice Zd 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 u with finite triple norm; that is, |||u|||=∑x∈Zd∥∂ηxu∥∞<∞.