Estudo de colisões kink-antikink e espalhamento por contorno

• Ano de defesa: 2016
• Autor(a) principal: Lima, Fred Jorge Carvalho
• Orientador(a): SANTOS FILHO, Adalto Rodrigues Gomes dos
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Maranhão
• Programa de Pós-Graduação: PROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCET
• Departamento: DEPARTAMENTO DE FÍSICA/CCET
• País: Brasil
• Palavras-chave em Português: Defeitos topológicos; Kinks; Modelos integráveis; Modelos não-integráveis; Topological defects; Integrable models; Non-integrable models
• Área do conhecimento CNPq: Física da Matéria Condensada
• Link de acesso: http://tedebc.ufma.br:8080/jspui/handle/tede/1558

In this dissertation is performed a study of collisions of topological defects in both integrable and non-integrable models of (1+1) dimensional scalar real elds. As integrable theory it is studied the sine-Gordon model; as non-integrable theories it is studied the φ4, double sine-Gordon and φ6 models. The research of collision is make through numerical solution of the motion equation. For this purpose, rst are obtained the topological solutions for each model by using the Bolgomol'nyi-Prasad-Sommerfeld (BPS) formalism. We explained the results analytically through of a exchange energy mechanism, which is associated to the normal vibrational modes of kinks solutions. This mechanism explains the large di erence between dynamics of the integrable and non-integrable models. It is also carried out a study of kinks collision for both φ4 and φ6 on a half line with a Neumann boundary condition. The results show a variety of new features which do not observed for kink-antikink collisions on full line.