Derivation and analysis of perturbative series for models with absorbent states

• Grant number: 05/04459-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2006
• End date: April 30, 2008
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Mário José de Oliveira
• Grantee: Wellington Gomes Dantas
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

We study the phase transistions between an absorbing and active state in markovian models on the lattice, through the subcritical series expansions approach. In particular, we will emphasize models with creation, annihilation and diffusion processes of particles, making use of the Partial Diferencial Approximants technique to study the tricritical behavior on these systems.

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)

W. G. DANTAS; M. J. DE OLIVEIRA; J. F. STILCK. Dependence of the crossover exponent with the diffusion rate in the generalized contact process model. Brazilian Journal of Physics, v. 38, n. 1, p. 94-97, 2008-03-00. (05/04459-1)

DANTAS‚ WG; DE OLIVEIRA‚ MJ; STILCK‚ JF. Asymptotic behavior of the entropy of chains placed on cylinders. Physical Review E, v. 76, n. 3, p. 031133, 2007. (05/04459-1)