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Percolation for discrete gas

Grant number: 09/16576-3
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Start date: March 04, 2010
End date: March 31, 2010
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Probability
Principal Investigator:Anatoli Iambartsev
Grantee:Anatoli Iambartsev
Visiting researcher: Jean Ruiz
Visiting researcher institution: Centre de Physique Théorique (CPT), France
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The aim of the project is investigate for the discrete gas lattice model the sharpness of the transition of clusters of physical spins in some regions of the range of values of the parameters. We also intend to develop for this model analogs of Fortuin-Kasteleyn and Edwards-Sokal representations and study the percolation properties of the corresponding clusters. Finally, we plan to study percolation properties of a generalization of the discrete lattice gas model to the case of two different kinds of particles. (AU)

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