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Models with infinitely many absorbing states analitically soluble

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Author(s):
Evandro Freire da Silva
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Mario Jose de Oliveira; Ronald Dickman; Vera Bohomoletz Henriques
Advisor: Mario Jose de Oliveira
Abstract

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. (AU)