Estudo do comportamento crítico do Modelo Blume-Capel Spin-1 nas redes aleatórias de Voronoi-Delaunay

• Ano de defesa: 2015
• Autor(a) principal: Fernandes, Francivaldo Pinheiro
• Orientador(a): Albuquerque, Douglas Ferreira de
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Programa de Pós-Graduação: Pós-Graduação em Física
• Palavras-chave em Português: Modelo Blume-Capel; Simulações de Monte Carlo; Redes aleatórias
• Palavras-chave em Inglês: Blume-Capel model; Monte Carlo simulations; Random lattices
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::FISICA
• Link de acesso: http://ri.ufs.br/jspui/handle/riufs/7145

In this work we study the critical properties of the spin-1 Blume-Capel model in two dimensions on Voronoi- Delaunay random lattices with quenched connectivity disorder. The system is treated by applying Monte Carlo simulations using the heat-bath update algorithm together with single histograms re-weighting tech- niques. We calculate the critical temperature as well as the critical exponents as a function of the crystal field -. It is found that this disordered system exhibits phase transitions of first- and second-order types that de- pend on the value of the crystal field. For values of - ≤ 3, where the nearest-neighbor exchange interaction J has been set to unity, the disordered system presents a second-order phase transition. The results suggest that the corresponding exponents ratio belong to the same universality class as the regular two-dimensional ferromagnetic model. There exists a tricritical point close to -t = 3:05(4) with different critical exponents. For -t ≤ - < 3:4 this model undergoes a first-order phase transition. Finally, for - ≥ 3:4 the system is always in the paramagnetic phase.