Statistical physics model in geology

• Grant number: 09/15942-6
• Support type: Regular Research Grants
• Duration: March 01, 2010 - February 28, 2011
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Applied Probability and Statistics
• Principal researcher: Anatoli Iambartsev
• Grantee: Anatoli Iambartsev
• Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

It is well-known at the present that models of the statistical physics find applications in Geology, modeling of seismicity and theory of earthquake prediction. Statistical physics is an extremely rich source of models which can describe geological phenomena in varying degrees. We propose to use the stochastic dynamics of interacted particle systems as a main tool for modeling geological processes. In this project we assume to investigate properties of stochastic dynamics of many interacting particles which can illustrate behaviors somehow similar to real geological processes. The essential feature of those stochastic dynamics is their non-reversibility. This area is much less developed than the theory of the reversible stochastic dynamics. The above difficulty is a main reason that has led to basically numerical studies as the main method. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GERTSIK, V. M.. Asymptotic Independence for Stationary State of Mean Field Markov Process. Markov Processes and Related Fields, v. 20, n. 2, p. 375-380, 2014. (09/15942-6, 09/15886-9)