Thesis (M.S.)--University of Michigan, 1967.

No description available.

No description available.

Thesis (M.S.)--Ohio State University, 2009. / Title from first page of PDF file. Includes vita. Includes bibliographical references (p. 133-134).

No description available.

Thesis. 1977. M.S.--Massachusetts Institute of Technology. Dept. of Mechanical Engineering. / Includes bibliographical references. / Thesis. 1977. M.S.--Massachusetts Institute of Technology. Dept. of Mechanical Engineering.

No description available.

Calculations are presented for a series of interrelated problems in the theory of disordered solids. The simple mean field theory of tricriticality in the layered Ising metamagnet is modified by inclusion of the Bethe-Peierls equation of state for the planar interactions. The approximation allows for a model of dilution with a finite percolation concentration for the layers. The calculated behaviour as a function of dilution for anisotropic coupling strengths allows comparison with experimental results on dilute ferrous chloride. Estimation is made of the effects of treating fluctuations by theories with mean field singularities. A discussion is given of first order phase transitions in disordered systems. A mean field theory of the implications of introducing quenched disorder to a system undergoing a transition of first order is effected by reformulating the problem in terms of a translationally invariant one via the replica method. The conclusions are examined in terms of a simple scaling theory and criteria derived for smearing of the singularities. Dynamic and thermodynamic properties of diluted magnetic insulators near the percolation concentration are considered in terms of simple geometric models of the percolating cluster as introduced by de Gennes. New scaling relations for the spin wave stiffness and conductivity exponents are derived and differences from previous relations interpreted geometrically. The scaling models of the percolating cluster so found, in which correlations propagate locally via effectively one-dimensional paths, are applied to the determination of the mobility edge for spin wave excitations in a dilute Heisenberg magnet near the percolation threshold. A prediction for the functional form of the mobility edge is made by means of results known for the Anderson model and a localisation length derived from an exact solution of a random problem by Dyson.

Thesis (Ph. D.)--University of Missouri-Columbia, 2007. / The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on October 17, 2007) Vita. Includes bibliographical references.

Thesis (MSc)--Stellenbosch University, 2002. / ENGLISH ABSTRACT: In this thesis we give an overview of self-organised criticality and its application to studying seismicity. We recall some of the basic models and techniques for studying self-organised critical systems. We discuss one of these, the sandpile model, in detail and show how various properties of the model can be calculated using a matrix formulation thereof. A correspondence between self-organised critical systems and seismicity is then proposed. Finally, we consider the timeevolution of the sandpile model by using a time-to-failure analysis, originally developed in the study of seismicity and obtain results for the sandpile model that show similarities with that of the analyses of seismic data. / AFRIKAANSE OPSOMMING: In hierdie tesis gee ons 'n oorsig van self-organiserende kritikaliteit en die toepassing daarvan in die studie van seismisiteit. Ons beskryf die basiese modelle en tegnieke vir die studie van self-organiserende kritiese sisteme. Ons bespreek een van hierdie, die sandhoopmodel, in besonderheid en wys hoe om verskeie eienskappe van die model te bereken deur gebruik te maak van 'n matriks-formulering daarvan. Ons stel dan 'n korrespondensie tussen self-organiserende kritiese sisteme en seismisiteit voor. Ter afsluiting ondersoek ons die tydontwikkeling van die sand hoopmodel deur gebruik te maak van 'n deurbreektyd analise wat oorspronklik in die bestudering seismiese data ontwikkel is. Die resultate vir die analise van die sandhoopmodel toon ooreenkomste met dit wat verkry word vir seismiese data.