The random geometry of equilibrium phases

Details The random geometry of equilibrium phases The random geometry of equilibrium phases

1999-05-05

arxiv.org/abs/math/9905031v1

Mathematics

Probability

118 pages. Addresses: georgii@rz.mathematik.uni-muenchen.de http://www.mathematik.uni-muenchen.de/~georgii.html olleh@math.cha

Scientific paper

This is a (long) survey about applications of percolation theory in equilibrium statistical mechanics. The chapters are as follows: 1. Introduction 2. Equilibrium phases 3. Some models 4. Coupling and stochastic domination 5. Percolation 6. Random-cluster representations 7. Uniqueness and exponential mixing from non-percolation 8. Phase transition and percolation 9. Random interactions 10. Continuum models

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