Propagação de danos no modelo de ising em redes de bravais e em fractais
AUTOR(ES)
Carlos Argolo Pereira Alves
FONTE
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia
DATA DE PUBLICAÇÃO
06/08/1999
RESUMO
In this work we have studied, by Monte Carlo computer simulation, several properties that characterize the damage spreading in the Ising model, defined in Bravais lattices (the square and the triangular lattices) and in the Sierpinski Gasket. First, we investigated the antiferromagnetic model in the triangular lattice with uniform magnetic field, by Glauber dynamics; The chaotic-frozen critical frontier that we obtained coincides , within error bars, with the paramegnetic-ferromagnetic frontier of the static transition. Using heat-bath dynamics, we have studied the ferromagnetic model in the Sierpinski Gasket: We have shown that there are two times that characterize the relaxation of the damage: One of them satisfy the generalized scaling theory proposed by Henley (critical exponent z~A/T for low temperatures). On the other hand, the other time does not obey any of the known scaling theories. Finally, we have used methods of time series analysis to study in Glauber dynamics, the damage in the ferromagnetic Ising model on a square lattice. We have obtained a Hurst exponent with value 0.5 in high temperatures and that grows to 1, close to the temperature TD, that separates the chaotic and the frozen phases
ASSUNTO(S)
transição de fase simulação de monte carlo propagação de danos fisica
Documentos Relacionados
- Propagação de danos no modelo de Potts
- Damage spreading in a model of gene regulation in scale-free networks
- O Modelo de Ising inomogêneo: uma interrupção contínua entre as redes quadrada e triangular.
- Propagação de danos em sistemas cooperativos: propriedades termodinâmicas
- O uso de ferramentas fractais e redes complexas no estudo da variabilidade pluviomÂetrica do Nordeste do Brasil