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Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2000.tde-16072021-145323
Document
Author
Full name
Alexandre Rigotti Silva
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2000
Supervisor
Committee
Oliveira, Mario Jose de (President)
Antonelli, Alex
Nussenzveig, Paulo Alberto
Title in Portuguese
Ressonância estocástica : estudo geral e aplicação na geração de segundo harmônico
Keywords in Portuguese
FÍSICA TEÓRICA
MECÂNICA ESTATÍSTICA
Abstract in Portuguese
Neste trabalho fizemos um estudo do fenômeno da ressônancia estocástica em sua forma geral e uma aplicação na geração do segundo harmônico. Utilizamos o formalismo da equação de Langevin e da equação de Fokker-Planck para descrever um sistemasujeito a um potencial de duplo poço e a uma força periódica externa. Através de métodos analíticos e de simulações da equação de Langevin determinamos a razão sinal-ruído que caracteriza a ressonância estocástica. Estudamos, também, aressonância estocástica na geração de segundo harmônico constatando a possibilidade de usa ocorrência
Title in English
Stochastic resonance: general study and application in second harmonic generation
Keywords in English
STATISTICAL MECHANICS
THEORETICAL PHYSICS
Abstract in English
In this work we have studied stochastic resonance in its general form and applied it to second harmonic generation. We used the formalism of the Langevin and the Fokker-Planck equations to describe a system subject to a double well potential and an external periodic force. Through analytical methods and numerical simulations of the Langevin equation we have determined the signal to noise ratio that characterizes stochastic resonance. We have also studied the stochastic resonance in second harmonic generation finding the conditions for its occurrence.
 
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2000SilvaAlexandre.pdf (35.66 Mbytes)
Publishing Date
2021-08-31
 
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