Phase transition and percolation in Gibbsian particle models
Probability
2007-05-23 v1
Abstract
We discuss the interrelation between phase transitions in interacting lattice or continuum models, and the existence of infinite clusters in suitable random-graph models. In particular, we describe a random-geometric approach to the phase transition in the continuum Ising model of two species of particles with soft or hard interspecies repulsion. We comment also on the related area-interaction process and on perfect simulation.
Cite
@article{arxiv.math/9910005,
title = {Phase transition and percolation in Gibbsian particle models},
author = {H. -O. Georgii},
journal= {arXiv preprint arXiv:math/9910005},
year = {2007}
}
Comments
Survey article, 25 pages