Estimativa de expoentes críticos em Percolação
AUTOR(ES)
Sebastiao Gomes de Andrade Neto
DATA DE PUBLICAÇÃO
2010
RESUMO
In Percolation Theory, functions like the probability that a given site belongs to the infinite cluster, average size of clusters, etc. are described through power laws and critical exponents. This dissertation uses a method called Finite Size Scaling to provide a estimative of those exponents. The dissertation is divided in four parts. The first one briefly presents the main results for Site Percolation Theory for d = 2 dimension. Besides, some important quantities for the determination of the critical exponents and for the phase transistions understanding are defined. The second shows an introduction to the fractal concept, dimension and classification. Concluded the base of our study, in the third part the Scale Theory is mentioned, wich relates critical exponents and the quantities described in Chapter 2. In the last part, through the Finite Size Scaling method, we determine the critical exponents and. Based on them, we used the previous Chapter scale relations in order to determine the remaining critical exponents
ASSUNTO(S)
fenômenso críticos expoentes críticos percolação matematica aplicada
Documentos Relacionados
- Soluções positivas para uma classe de problemas elipticos quasilineares envolvendo expoentes criticos
- Estimativa da percolação de água no solo por diferentes métodos usando TDR
- Controle de percolação em pequenos reservatórios.
- Tópicos em percolação de longo alcance
- Modelagem de expoentes de orbitais de slater em ambientes moleculares