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: Center Of Theoretical Physics - Marseille , France
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• City of the host institution: São Paulo

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)