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Previous issue date: 1999-08-06 / Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico / 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 / Neste trabalho estudamos, atrav?s de simula??es computacionais de Monte Carlo, v?rias propriedades que caracterizam a propaga??o de danos no modelo de Ising, definido em redes de Bravais (quadrada e triangular) e na junta de Sierpinski (que ? um arranjo fractal).
Inicialmente, investigamos o modelo antiferromagn?tico na rede triangular com campo magn?tico uniforme, atrav?s da din?mica de Gl?uber; a fronteira cr?tica ca?tica-congelada que obtivemos coincide, dentro dos limites de precis?o num?rica, com a fronteira paramagn?tica-ferromagn?tica da transi??o est?tica.
A seguir, estudamos o modelo ferromagn?tico na junta de Sierpinski, por meio da din?mica de heat-bath; mostramos que existem dois tempos que caracterizam a relaxa??o do dano: um deles satisfaz ? teoria de escala generalizada proposta por Henley (expoente cr?tico z ~ A/T, para baixas temperaturas) enquanto o outro tempo n?o obedece nenhuma das teorias de escala conhecidas.
Finalmente, utilizamos m?todos de an?lise de s?ries temporais para estudar o dano na din?mica de Gl?uber no modelo de Ising ferromagn?tico em rede quadrada: Obtivemos um expoente de Hurst que vale 0,5 em altas temperaturas e que cresce, tendendo para um valor 1, ? medida que T se aproxima de To, que ? a temperatura que separa as fases ca?tica e congelada
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/16585 |
| Date | 06 August 1999 |
| Creators | Alves, Carlos Argolo Pereira |
| Contributors | CPF:07136200482, http://lattes.cnpq.br/7218040405934056, Souza, Ezequiel Silva de, CPF:05012635434, Lucena, Liacir dos Santos, CPF:00405663404, http://lattes.cnpq.br/7151949476055522, Souza, Adauto Jos? Ferreira de, CPF:36032107434, http://lattes.cnpq.br/7610794158708115, Lyra, Marcelo Leite, CPF:38421305468, http://lattes.cnpq.br/0907001903528428, Mariz, Ananias Monteiro |
| Publisher | Universidade Federal do Rio Grande do Norte, Programa de P?s-Gradua??o em F?sica, UFRN, BR, F?sica da Mat?ria Condensada; Astrof?sica e Cosmologia; F?sica da Ionosfera |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
| Format | application/pdf |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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