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Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2001.tde-27052021-195046
Document
Author
Full name
Masayuki Oka Hase
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2001
Supervisor
Committee
Salinas, Silvio Roberto de Azevedo (President)
Curado, Evaldo Mendonça Fleury
Wreszinski, Walter Felipe
Title in Portuguese
Propriedades termodinâmicas de redes hierárquicas via análise de grupo de renormalização no espaço real
Keywords in Portuguese
FENÔMENO DE TRANSPORTE DE MASSA
MODELO DE ISING
MUDANÇA DE FASE
TERMODINÂMICA
Abstract in Portuguese
Um método numérico para determinar algumas grandezas termodinâmicas em redes hierárquicas é proposto, verificando-se previsões da teoria de escala no caso de redes auto-duais com interações ferromagnéticas uniforme e aperiódica no modelo de Ising. Expõe-se, ainda, uma prova de um critério de verificação de ocorrência de transições de fase de primeira ordem via técnicas de grupo de renormalização no espaço real
Title in English
Thermodynamic properties of hierarchical networks via group analysis of renormalization in real space
Keywords in English
ISING MODEL
MASS TRANSPORT PHENOMENON
PHASE CHANGE
THERMODYNAMICS
Abstract in English
A numerical method for calculating some thermodynamic quantities is proposed, verifing scaling predictions in ferromagnetic self-dual Ising lattice for uniform and aperiodic interations. Moreover, a proof of firs-order phase transitions' occurence criterion, by real space renormalization group technique, is exposed.
 
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Publishing Date
2021-05-31
 
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