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Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2004.tde-23072021-135849
Document
Author
Full name
Kleto Michel Zan
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2004
Supervisor
Committee
Grebogi, Celso (President)
Macau, Elbert Einstein Nehrer
Moura, Alessandro Paulo Sérvio de
Title in Portuguese
Manipulação de coeficientes de transporte
Keywords in Portuguese
CAOS (SISTEMAS DINÂMICOS)
FENÔMENOS DE TRANSPORTE
FÍSICA DA MATÉRIA CONDENSADA
Abstract in Portuguese
Estudamos a relação entre as propriedades macroscópicas dos processos difusicos de sistemas dinâmicos caóticos sob aplicação de técnicas de controle. Utilizamos o mapa padrão para mostrar que com o uso dessas técnicas é possível manipular os coeficientes de transporte em sistemas Hamiltonianos caóticos. Concluímos que o coeficiente de difusão, a quantidade macroscópica estudada nesse trabalho, é alterado quando aplicamos métodos de controle em cada uma das partículas microscópicas que compões o sistema
Title in English
Manipulation of transport coefficients
Keywords in English
CHAOS (DYNAMIC SYSTEMS)
PHYSICS OF CONDENSED MATTER
TRANSPORT PHENOMENA
Abstract in English
We study the relationship between macroscopic and microscopic properties of diffusion processes in chaotic dynamical systems under control. We show that control allows the manipulation of the transport coefficients in chaotic Hamiltonian systems. We illustrate our ideas in the case of the standard map. We conclude that the diffusion coefficient, the coefficient studied in this work, is modified when control methods are applied to the particles of the system.
 
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Publishing Date
2021-08-31
 
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