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Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2011.tde-26042012-123155
Document
Author
Full name
Bruno Pace
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2011
Supervisor
Committee
Prado, Carmen Pimentel Cintra do (President)
Martinez, Alexandre Souto
Oliveira, Mario Jose de
Title in Portuguese
O modelo de Axelrod com tensão superficial
Keywords in Portuguese
Autômatos celulares
Cadeias de Markov
Grafos
Mecânica estatística
Processos estocásticos
Tensão superficial
Abstract in Portuguese
Nesta dissertação foram estudados alguns modelos vetoriais que pretendem modelar e descrever alguns aspectos de sistemas sociais e de sua organização cultural. Partimos do modelo de Axelrod, um processo estocástico definido em uma rede, e introduzimos uma pequena alteração no modelo que desencadeou mudanças qualitativas interessantes, especialmente o surgimento de uma tensão superficial, que leva ao aparecimento de estados metaestáveis e de regiões culturais mais fixamente localizadas no espaço. Através da ótica da mecânica estatística e de extensas simulações computacionais, exploramos alguns dos aspectos que julgamos mais importantes na caracterização desse rico modelo.
Title in English
Axelrod's model with surface tension
Keywords in English
Cellular automata
Graphs
Markov chains
Sociophysics
Statistical mechanics
Stochastic rocesses
Superface tension
Abstract in English
Axelrod's model for cultural dissemination is a discrete vector representation for modeling social and cultural systems. In this work we have studied it and other related models, and a subtle change in the model's rule was proposed. Our slight alterations to the model yielded significant qualitative changes, specifically the emergence of surface tension, driving the system to metastable states. Using concepts from statistical mechanics and extensive numerical simulations, we explored some of the aspects that better describe the rich model devised, such as its transient and stationary behaviour.
 
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Dissertacao.pdf (5.81 Mbytes)
Publishing Date
2012-05-21
 
WARNING: The material described below relates to works resulting from this thesis or dissertation. The contents of these works are the author's responsibility.
  • PACE, BRUNO, and PRADO, CARMEN P. C. Axelrod's model with surface tension [doi:10.1103/PhysRevE.89.062804]. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics [online], 2014, vol. 89, p. 062804.
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