This thesis is a theoretical study of some aspects of space charge waves and hydromagnetic waves in solids. Dispersion equations obtained in the hydrodynamic approximation are studied to gain Information concerning transverse waves propagating along an applied magnetic field, and the conditions for which space charge waves may grow. For the hydromagnetic waves various assumptions are made as to the ratio of the electron and hole masses and electron and hole number densities. Particular attention is paid to the extrinsic and intrinsic cases. It is shown that often waves which are apparently different from waves previously studied, may be considered as simple extensions or special cases of the type of wave motion that are well established. In studying growing space charge waves it is assumed that the solid is intrinsic, the hole mass equals the electron mass, and the plasma found in the solid is cold. Recombination and damping of the carriers is taken into account at all times. For this model exact conditions are given for which growth of space charge waves propagating along an applied electric field may occur. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

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Thesis (Ph. D.)--Lehigh University, 2001. / Includes vita. Includes bibliographical references (leaves 123-127).

Thesis (Sc. D.)--Catholic University of America, 1934. / At head of title: The Catholic university of America. Vita. Bibliography: p. 70-80.

Thesis (Ph. D.)--University of Queensland, 2002. / Includes bibliographical references.

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In this thesis a microdynamics theory of structured solids is formulated on the basis of probabilistic functional analysis. The theory which is developed on the principles of probabilistic micromechanics, introduces from the onset spatial and temporal scales relevant in the dynamic analysis. A general formulation of the microdynamics of a three-dimensional solid is given in terms of an abstract dynamical system; the analysis is then specialized to the kinematic subspace of the general state space, whereby the former is found to possess the topological structure of a Hilbertian-Sobolev space. / The abstract dynamical system in the microdynamics theory is developed explicitly for the wave propagation in a semi-infinite bar of a polycrystalline solid with an arbitrary cross-section. The microstructure of the solid is taken to consist of cubic grains with random physical properties. The existence of an internal and a macroscopic time is postulated, which permits the formulation of the evolution of the wave motion first in a one-dimensional solid by means of a four parametric Markovian operator having a semi-group property. This model of the cubic solid structure is shown to be asymptotically equivalent to a "generalized wave equation" of the continuum theory. A more general model of the wavefront evolution for a three-dimensional solid is then given in terms of a super-martingale (parametrized by the macrotime) on a generalized random field. / It is shown that numerical results for the wave propagation in a discrete solid in accordance with the new microdynamics theory can be obtained by the application of the Monte-Carlo simulation method. A comparison of these results with known classical and random continuum theories is given.

Thesis (Ph. D.)--University of Michigan, 1933. / Reprinted from an article, by F.E. Bartell, J.L. Culbertson, and Mike A. Miller, published in the Journal of physical chemistry, v. 40, no. 7, October, 1936. Bibliography: p. 14.

Thesis (Ph. D.)--School of Chemical and Biomolecular Engineering, Georgia Institute of Technology, 2005. Directed by Charles A. Eckert. / Charles L. Liotta, Committee Co-Chair ; Charles A. Eckert, Committee Chair ; Amyn S. Teja, Committee Member ; J. Carson Meredith, Committee Member ; Rigoberto Hernandez, Committee Member. Vita. Includes bibliographical references.