Banca de DEFESA: DAVID SANTANA MARQUES ALENCAR

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE: DAVID SANTANA MARQUES ALENCAR
DATA: 08/04/2025
HORA: 15:00
LOCAL: Remota (On-line)
TÍTULO: Comportamento Crítico de Processos Estocásticos em Redes Complexas;
PALAVRAS-CHAVES: Redes livres de escala, processos estocásticos, transições de fase fora do equilíbrio, estados absorventes, processo de contato, modelo majoritário, processo de contato;
PÁGINAS: 130
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:

We study three stochastic processes, the majority vote model, the
contact process, and the asynchronous SIR model, with phase transitions in
complex networks. In theory, we use the heterogeneous mean field theory
(HMF), which considers vertices with the same degree as equivalent, to predict
the transition points in each model and the dependence of the order parameter
on the number of vertices in the network. In each model, it was discovered that
this dependence is given by a scaling relationship like a power law. The
exponents related to the transition point deviation and the order parameter, 1/ν
and β/ν, respectively, presented values compatible with the mean field critical
exponents, presenting heterogeneous scaling corrections for the case of power
law networks. Access to finite size dependence was achieved through the use
of external fields in the differential equations of stochastic processes. The
computational simulations carried out using the Monte Carlo method agree with
the scaling relationships obtained in each model.

MEMBROS DA BANCA:
Externo à Instituição - 461.***.***-00 - ANDRE AUTO MOREIRA - UFC
Externo à Instituição - 440.***.***-15 - ASCÂNIO DIAS ARAUJO - UFC
Interno - 1446938 - FRANCISCO WELINGTON DE SOUSA LIMA
Interno - 423297 - JOSE PIMENTEL DE LIMA
Externo à Instituição - 058.***.***-27 - RONAN SILVA FERREIRA - UFOP
Presidente - 1650556 - TAYRONI FRANCISCO DE ALENCAR ALVES