RT info:eu-repo/semantics/doctoralThesis
T1 Evolution and scattering of excited topological defects: interaction between internal modes
A1 Miguélez Caballero, David
A2 Universidad de Valladolid. Escuela de Doctorado
K1 Física de la materia condensada
K1 Topological solitons
K1 Solitones topológicos
K1 Abelian-Higgs vortices
K1 Vórtices de Abelian-Higgs
K1 Topological kinks
K1 Kinks topológicos
K1 Internal mode structure
K1 Estructura de modos internos
K1 22 Física
AB This thesis presents an extensive analysis of the behavior of topological solitons when one or more of their internal modes are activated. The first part of this manuscript is devoted to the study of the simplest topological solitons in (1+1) dimensions: kinks. Specifically, we investigate how these solutions emit radiation when one of their internal modes is initially excited, within the framework of a particular two-component scalar field theory—the double φ^4 model. The simplest kink solution in this theory exhibits a complex internal mode structure that depends on a coupling constant appearing in the potential governing the dynamics. We will show how the amplitude and frequency of the emitted radiation are affected by changes in this coupling constant.In addition to static kink configurations, we also examine the dynamics of wobbling kink/antikink scattering when the kinks possess more than one internal mode. To this end, we study kink/antikink collisions in the context of the simplest kink solution arising in the Montonen–Sarker–Trullinger– Bishop (MSTB) model. This analysis provides valuable insight into the resonant energy exchange mechanism, which enables the transfer of energy between internal modes and the translational mode.The second part of this thesis focuses on excited vortex solutions in (2+1) dimensions. In particular, we begin with a detailed study of the internal mode structure associated with vortex solutions in the Abelian-Higgs model. We demonstrate how the problem can be significantly simplified by choosing an appropriate angular dependence for the eigenfunctions. Furthermore, we investigate the radiation emitted by a vortex with winding number n=1 when its internal mode is initially activated. To achieve this, we extend the analytical techniques used in (1+1) dimensions to field theories defined in two spatial dimensions. This enables us to compute the radiation amplitude, its frequency, and the decay of the internal mode amplitude due to energy loss via radiation.All analytical results are contrasted with data from numerical simulations, allowing us to shed light to the validity of the analytical methods employed.
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/83084
UL https://uvadoc.uva.es/handle/10324/83084
LA eng
NO Escuela de Doctorado
DS UVaDOC
RD 25-feb-2026