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Simulations of Dynamical Percolation

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Alexander Hideki Oniwa Wada
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física
Defense date:
Examining board members:
Mario Jose de Oliveira; Gabriel Teixeira Landi; Carlos Eduardo Fiore dos Santos
Advisor: Mario Jose de Oliveira

We have studied the epidemiologic model called susceptible-exposed-infected (SEI) on a square lattice by numerical simulations. In this model, each site of the lattice may be susceptible, exposed or infected. A susceptible site in the neighborhood of an infected site becomes infected with a given probability, or exposed with a complementary probability. Infected and exposed sites remain forever in these states. We have shown that clusters generated by a single infected site in a lattice full of susceptible are the same clusters as in the isotropic percolation. The critical dynamic exponents were calculated with large precision allowing to put the SEI model into the dynamical percolation universality class. (AU)

FAPESP's process: 12/24207-0 - Numerical simulations of dynamic percolation
Grantee:Alexander Hideki Oniwa Wada
Support type: Scholarships in Brazil - Master