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Master's Dissertation
DOI
10.11606/D.43.2005.tde-18042005-143115
Document
Author
Full name
Evandro Freire da Silva
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2005
Supervisor
Committee
Oliveira, Mario Jose de (President)
Dickman, Ronald
Henriques, Vera Bohomoletz
Title in Portuguese
Modelos com infinitos estados absorventes analiticamente solúveis
Keywords in Portuguese
ensembles
matriz de transferencia
modelos em reticulados
mudancas de fase
Abstract in Portuguese
Neste trabalho estudamos alguns modelos com conservacao de particulas, que apresentam uma transicao de fase entre um estado estacionario ativo e infinitos estados absorventes. Os estados ativos de cada modelo sao compostos por configuracoes equiprovaveis, correspondendo, de acordo com a formulacao gibbsiana da Mecanica Estatistica, a um ensemble microcanonico. Efetuando uma mudanca de ensemble, podemos calcular as grandezas fisicas para cada um destes modelos utilizando a tecnica de matrizes de transferencia, explicada neste trabalho. Realizamos simulacoes destes modelos e confirmamos as hipoteses que sustentam o uso desta tecnica. Por fim, analisamos dois modelos derivados dos anteriores que nao podem ser estudados com base nesta tecnica.
Title in English
Models with infinitely many absorbing states analitically soluble
Keywords in English
ensemble
lattice models
phase transitions
transfer matrix
Abstract in English
In this work we studied some models with particle conservation which present a phase transition between an active stationary state and infinitely many absorbing states. The active states of each model consist of equiprobable configurations, corresponding, according to Gibbs's formulation of Statistical Mechanics, to a microcanonical ensemble. Carrying out an ensemble change, we can calculate the physical quantities for each one of these models using the transfer matrix technique, explained in this work. We performed simulations of these models and confirmed the hypothesis that sustain the use of this technique. Finally, we analysed two models derived from the previous ones for which this technique cannot be applied.
 
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01DM_EFS.pdf (150.39 Kbytes)
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03DM_EFS.pdf (122.53 Kbytes)
04DM_EFS.pdf (146.81 Kbytes)
05DM_EFS.pdf (114.29 Kbytes)
06DM_EFS.pdf (151.88 Kbytes)
07DM_EFS.pdf (159.70 Kbytes)
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Publishing Date
2005-05-09
 
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