Phase transition and percolation in Gibbsian particle models
classification
🧮 math.PR
keywords
modelsphasecontinuumtransitionapproacharea-interactionclusterscomment
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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.
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