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Study of Nonlinear Effect on Anderson Localization of Phonons

Akaberiyan, Maryam | 2019

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 52288 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Rahimi Tabar, Mohammad Reza; Asfarjani, Kivan
  7. Abstract:
  8. The purpose of the thesis is to investigate the phonon localization in disordered media and in the presence of nonlinear effect. As a simple model, we consider a system of spring-coupled masses, where the value of mass in each site fluctuates around a positive mean. Using transfer matrix method, we calculate the frequency dependence of the localization length (in the absence of the nonlinear effect) for diffrent strength of disorder in one dimention. For given localized mode, by turning on the nonliner term, we study whether nonlinearity will enhance localization or extend the localized mode? To study the nonlinear effect, since the transfer matrix method is only applicable for the linear systems, we use a dynamical method by solving the dynamical equations by Runge-Kutta method
  9. Keywords:
  10. Anderson Localization ; Disorder Media ; Nonlinearities ; Localization Length ; Phonon Localization

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