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Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2005.tde-20052014-190949
Document
Author
Full name
Darielder Jesus Ribeiro
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2005
Supervisor
Committee
Salinas, Silvio Roberto de Azevedo (President)
Castro, Tania Tome Martins de
Figueiredo, Wagner
Title in Portuguese
Modelos de contato com probabilidades aperiódicas.
Keywords in Portuguese
Dinâmica Estocástica
Modelo de Mecânica Estatística - Modelo de Contato
Modelo de Mecânica Estatística - Modelos Aperiódicos
Modelo de Mecânica Estatística - Modelos Desordenados
Abstract in Portuguese
A análise de modelos de contato na presença de elementos de desordem fixa indica o surgimento de desvios em relação ao comportamento crítico do modelo uniforme subjacente. Nesse trabalho consideramos o efeito da aperiodicidade, que também é capaz de produzir flutuações de natureza geométrica. Utilizamos distri­ buições aperiódicas de probabilidades, definidas através de regras de substituição determinísticas, a fim de analisar o comportamento crítico desses modelos de con­ tato. Realizamos simulações de Monte Carlo para modelos definidos por três regras distintas, caracterizadas por um expoente w, associado à intensidade das flutuações geométricas. Nos modelos A e B, com w = -1 e w = 0, não constatamos qualquer mudança em relação à classe de universalidade crítica da percolação direcionada. Já no Modelo C, com w = 0.6309, as flutuações geométricas alteram a classe de universalidade crítica.
Title in English
Models of contact with aperiodic probabilities.
Keywords in English
Mechanical-Statistical Model aperiodic models
Statistical Mechanical Model Contact Template
Statistical Mechanics of Model-Disordered Models
Stochastic Dynamic
Abstract in English
The analysis of contact models in the presence of quenched disorder indicates the onset of deviations with respect to the critical behavior of the underlying uniform system. In the present work, we consider the effects of aperiodicity, which are also known to produce fluctuation of geometric nature. We use aperiodic distributions of probabilities, given by deterministic substitution rules, in order to analyze the critical behavior. We performed Monte Carlo simulations for three different rules, characterized by an exponent w, which gauges the intensity of the geometric fluc­ tuations. For models A and B, with w = -1and w = 0, we have not detected any changes with respect to the universality class of directed percolation. For model C, with w = 0.6309, the geometric fluctuations change the critical universality class.
 
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47314Ribeiro.pdf (2.61 Mbytes)
Publishing Date
2014-05-22
 
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