A d-dimensional nucleation and growth model

作者:Cerf Raphael*; Manzo Francesco
来源:Probability Theory and Related Fields, 2013, 155(1-2): 427-449.
DOI:10.1007/s00440-011-0402-3

摘要

We analyze the relaxation time of a ferromagnetic d-dimensional growth model on the lattice. The model is characterized by d parameters which represent the activation energies of a site, depending on the number of occupied nearest neighbours. This model is a natural generalisation of the model studied by Dehghanpour and Schonmann (Probab Theory Relat Fields. 107(1):123-135, 1997), where the activation energy of a site with more than two occupied neighbours is zero.

  • 出版日期2013-2