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Master's Dissertation
DOI
10.11606/D.76.1994.tde-05122014-170621
Document
Author
Full name
Pedro Ricardo Del Santoro
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1994
Supervisor
Committee
Rosa Junior, Sylvio Goulart (President)
Alcaraz, Francisco Castilho
Hornos, Jose Eduardo Martinho
Title in Portuguese
Aproximação de campo médio do modelo de Potts generalizado
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Neste trabalho estudamos as conseqüências da introdução do parâmetro q, pela estatística generalziada de Tsallis, sobre o comportamento termodinâmico de um sistema de spins de Potts na aproximação de campo médio. A abordagem do problema foi feita derivando-se um funcional de energia livre de ordem q, e por seu intermédio, uma relação autoconsistente envolvendo a magnetização, campo externo e temperatura. Pela aplicação da teoria dos sistemas dinâmicos discretos à relação autoconsistente obteve-se curvas de magnetização espontânea e a influência sobre estas do parâmetro q. Determinou-se também a dependência da temperatura crítica do sistema com respeito ao parâmetro q
Title in English
Not available
Keywords in English
Not available
Abstract in English
In this work we studied the consequences brought about by the q parameter, introduced by Tsallis generalized statistics, to the thermodynamic behavior of a Potts spin system in the mean field approximation. The approach to the problem was made by deriving a functional to the q order free energy, and through this one, a self-consistent relation involving the magnetization, external field and temperature. By the application of the discrete dynamical system theory, spontaneous magnetization curves as a function of temperature, and the influence over these of q parameter were obtained. It was also determined the dependence of the system critical temperature on q parameter
 
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Publishing Date
2014-12-08
 
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