Estudo de colisões kink-antikink e espalhamento por contorno
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 mode...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | Brasil |
| Institución: | Universidade Federal do Maranhão (UFMA) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da UFMA |
| Idioma: | portugués |
| OAI Identifier: | oai:tede2:tede/1558 |
| Acceso en línea: | http://tedebc.ufma.br:8080/jspui/handle/tede/1558 |
| Access Level: | acceso abierto |
| Palabra clave: | Defeitos topológicos Kinks Modelos integráveis Modelos não-integráveis Topological defects Integrable models Non-integrable models Física da Matéria Condensada |
| Sumario: | 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. |
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