Banca de QUALIFICAÇÃO: JOSE ROMARIO DE SOUSA LIMA

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
DISCENTE: JOSE ROMARIO DE SOUSA LIMA
DATA: 31/08/2022
HORA: 10:00
LOCAL: online
TÍTULO: Voto da maioria difusivo em duas dimensões.
PALAVRAS-CHAVES: voto da maioria, transição de fase,
PÁGINAS: 50
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:

We define a stochastic reaction-diffusion process that describes a
consensus formation in a nonsedentary population. The process is a diffusive
version of the majority-vote model, where the state update follows two stages:
In the first stage, spins are allowed to jump to a random neighbor node with
probabilities D+ and D- for the respective spin orientations, and in the second
stage, the spins in the same node can change its values according to the
majority-vote update rule. The model presents a consensus formation phase
when the concentration is greater than a threshold value and a paramagnetic
phase on the converse for equal diffusion probabilities, i.e., maintaining the
inversion symmetry. Setting unequal diffusion probabilities for the respective
spin orientations is the same as applying an external magnetic field. The system
undergoes a discontinuous phase transition for concentrations higher than the
critical threshold on the external field. The individuals that diffuse more
dominate the stationary collective opinion.

MEMBROS DA BANCA:
Externo ao Programa - 705.609.603-44 - ANTONIO DE MACEDO FILHO - UESPI
Presidente - 1446938 - FRANCISCO WELINGTON DE SOUSA LIMA
Interno - 1650556 - TAYRONI FRANCISCO DE ALENCAR ALVES