Nonlinear perturbation of som kinks in 1+1 dimensions

Author(s)

Hernán Augusto Piragua Ariza

• Document type: Master's Dissertation
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
• Defense date: 2010-08-16

Examining board members

Patricio Anibal Letelier Sotomayor; Marcus Aloizio Martinez de Aguiar; Maximiliano Ujevic Tonino

• Advisor: Patricio Anibal Letelier Sotomayor

Abstract

In this dissertation we did two things. First, we compared the Linhares and Oliveira approach for the temporal evolution of the ?ø4 kink, which uses the Galerkin method and a domain mapping, with the method of finite differences in a finite interval. It was found that the dynamics in these two cases were different. We found that the mapping method was not appropriated for the evolution of these kind of systems. The second part was the use of the finite difference method to perturb some kinks of one, two and three scalar fields in one spacial dimension. It was shown the (in)stability of the kinks. When they were unstable, it was found their decay products (AU)

• FAPESP's process: 09/03098-6 - Linear stability of kinks and other topological objects
• Grantee: Hernán Augusto Piragua Ariza
• Support Opportunities: Scholarships in Brazil - Master