Banca de DEFESA: REBECCA DE MOURA BRAZ DINIZ

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : REBECCA DE MOURA BRAZ DINIZ
DATE: 26/05/2021
TIME: 10:00
LOCAL: Plataforma Google Meet
TITLE:

Continuous Phase Transition in a Diluted Block Voter Model with Sociophysical and Biophysical Applications

KEY WORDS:

Phase Transition, Block Voter Model, Sociophysics, Epidemic, Biophysic

PAGES: 84
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

The Diluted Block Voter Model gives a biophysical interpretation of a continuous phase transition in a magnetic network system, we also give some insights into the sociophysical context of elections. We simulated a regular square lattice of N spins variable with two states σi = ±1, and edge L = √N . Each spin can receive the outflow influence of the persuasive cluster spins (N_PCS), a randomly chosen square block. This chosen adjacente spin have q resistance to accept the outflow influence. So, it rejects the PCS influence with probability q and agrees with the majority of PCS with probability (1 - q). The dilution is due to the fraction f of sites with no resistance q = 0 while the complementary 1 - f sites effective have q resistance, named q_c its critical value when phase transition occurs. Our parameters of interests are q_c, f and N_PCS. We calculate the magnetization, susceptibility and Binder’s cumulant of the system to map the phase transition showing that some configuration of parameters lead us to a null magnetization region. We compare the results of large groups of influence with the mean-field theory and we use the finite scale size theory. In biophysical terms, in some configurations of vaccine efficiency q, contagion group N_PCS, and campaign absences f, we have an ordered phase (magnetization > 0) Where there is an epidemic propagation. In social terms, for some configuration of social temperature q, Social pressure N_PCS and social neglect f, we have a disordered phase (null magnetization)where there is no consensus.

BANKING MEMBERS:
Externo à Instituição - ALEXANDRE DA SILVA ROSAS - UFPB
Interno - 1345774 - CLAUDIONOR GOMES BEZERRA
Presidente - 2492756 - JOAO MEDEIROS DE ARAUJO
Interno - 1294916 - MADRAS VISWANATHAN GANDHI MOHAN
Externo à Instituição - RAIMUNDO NOGUEIRA DA COSTA FILHO - UFC