Phase transition and percolation in Gibbsian particle models

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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.
Survey article, 25 pages

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Probability, 60G55, 60K35; 82B05

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http://salesiana.dossiersoluciones.com/handle/123456789/79188

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910005
 http://arxiv.org/abs/math/9910005

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arXiv