Modelling the dynamics of elastic filaments

In this master's thesis an algorithm for modelling a three-dimensional elastic lament was developed. The model considers chains of beads that are constrained by stretching, bending and torsional forces. Equations that describe the dynamics of the system were derived from potential energies rela...

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Detalhes bibliográficos
Autor principal: Silva, Pedro Emanuel Santos (author)
Formato: masterThesis
Idioma:eng
Publicado em: 2013
Assuntos:
Texto completo:http://hdl.handle.net/10773/7422
País:Portugal
Oai:oai:ria.ua.pt:10773/7422
Descrição
Resumo:In this master's thesis an algorithm for modelling a three-dimensional elastic lament was developed. The model considers chains of beads that are constrained by stretching, bending and torsional forces. Equations that describe the dynamics of the system were derived from potential energies related to the di erent degrees of freedom. A set of numerical results that were obtained in several systems is analysed in this thesis, as a test bed for the algorithm. Force-extension curves of laments were obtained to compare the simulated results with the theoretical models from statistical physics of polymers. In this thesis, numerical techniques are also presented in order to perform the simulation, visualization and audition of the obtained results, so that this thesis may become an useful guide to a beginner in this eld. This thesis should also be regarded as the starting point for the investigation of new physical phenomena related to physical pseudoknots (PPKs). PPKs mechanisms seek to explain, in an innovative way, the arising of certain localized entanglements that occur in nature and which do not explicitly require chemical interactions.