Thesis-2001-Dhillon.pdf (2.49 MB)
Download fileA study of discrete nonlinear systems
thesis
posted on 2018-08-03, 10:44 authored by Harjinder S. DhillonAn investigation of various spatially discrete time-independent non-linear
models was undertaken. These models are generically applicable to many different
physical systems including electron–phonon interactions in solids, magnetic
multilayers, layered superconductors and classical lattice systems.
To characterise the possible magnetic structures created on magnetic multilayers
a model has been formulated and studied. The Euler–Lagrange equation
for this model is a discrete version of the Sine–Cordon equation. Solutions
of this equation are generated by applying the methods of Chaotic Dynamics—treating the space variable associated with the layer number as a discrete
time variable. The states found indicate periodic, quasi-periodic and chaotic
structures. [Continues.]
History
School
- Science
Department
- Physics
Publisher
© H.S. DhillonPublisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2001Notes
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.Language
- en