We analyze the relaxation time of a ferromagnetic d dimensional growth model on the lattice. The model is characterized by d param- eters 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 [DS97a], where the activation energy of a site with more than two occupied neighbours is zero.
Cite
@article{arxiv.1001.3990,
title = {A d dimensional nucleation and growth model},
author = {Raphael Cerf and Francesco Manzo},
journal= {arXiv preprint arXiv:1001.3990},
year = {2010}
}