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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Nucleation of solitons in the presence of defects

Loxley, Peter Unknown Date (has links)
[abstract] In the process of nucleation, the decay of a metastable state is initiated by the formation of a spatially localised region called a nucleus of critical size. In many realistic situations nucleation is initiated at an impurity or defect; such as a dust particle, an irregularity in a sample, or a crack in the wall of a container. The aim of this thesis is to identify and understand the fundamental changes different types of defect make to nucleation by studying a one-dimensional continuum model used to describe solitons. A well established theory due to Langer is extended to calculate the rate of decay of a metastable state due to the nucleation of solitons at defects. Results are used to find the rate of thermally activated magnetisation reversal for a ferromagnetic nanowire with defects in the uniaxial anisotropy. Defects which are narrower than the soliton width (point-like defects) and wider than the soliton width (step defects) are both modelled. An attractive defect breaks the translational symmetry of a soliton and leads to pinning. The pinning of solitons is found to reduce the activation energy required for nucleation, reduce the critical field above which a metastable state becomes unstable, alter the mechanism by which a metastable state decays, and modify the prefactor for the rate of decay. Changes to the prefactor are interpreted in terms of entropy and the dynamics of metastable decay when a defect is present.

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