Tunneling of the Kawasaki dynamics at low temperatures in two dimensions

J. Beltrán, C. Landim

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

6 Citas (Scopus)

Resumen

Consider a lattice gas evolving according to the conservative Kawasaki dynamics at inverse temperature β on a two dimensional torus ΛL = {0, . . . , L - 1}2. We prove the tunneling behavior of the process among the states of minimal energy. More precisely, assume that there are n2 particles, n < L/2, and that the initial state is the configuration in which all sites of the square {0, . . . , n - 1}2 are occupied. We show that in the time scale e2β the process evolves as a Markov process on ΛL which jumps from any site x to any other site y ≠ x at a strictly positive rate which can be expressed in terms of the hitting probabilities of simple Markovian dynamics.
Idioma originalEspañol
Páginas (desde-hasta)59-88
Número de páginas30
PublicaciónAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volumen51
EstadoPublicada - 1 ene. 2015

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