Heterogeneity of surfaces is often included in mathematical treatments of colloid transport and deposition as an afterthought, if at all. Most previous models of colloid transport and deposition have employed idealizations and simplifications such as assuming smooth collector surfaces with uniform chemical properties. This research proposes a new heterogeneous interaction model (HIM) to account for colloidal forces between particles and heterogeneous substrates. Extending the approach employed with the HIM, the inclusion of convection and diffusion in the model leads to a Lagrangian particle tracking model (PTM) for predicting colloid transport and deposition on a planar substrate containing one or more protruding asperities in the presence of shear flow. An important part of the PTM is an accurate rendering of the fluid flow field around the model substrate, which is obtained from a numerical solution of the Stokes equations. A simple approximation of the particle-substrate hydrodynamic interactions was developed for the PTM based on the universal hydrodynamic correction functions. This model was employed to quantitatively predict how presence of asperities on a collector can influence the deposition of particles on the substrate in shear flow. Flow field modifications due to the substrate's physical heterogeneity -- coupled with hydrodynamic interactions -- and the lateral migration (colloidal) forces near chemically heterogeneous substrates yield remarkably diverse deposition probabilities and deposit morphologies. The general approach of this research, which involves the use of the HIM in conjunction with the Brownian PTM, results in the first simulation tool of its kind to attempt to quantify deposition on heterogeneous substrates.

The first half of this thesis deals with the line of thought that leads to the development of discrete games of chance as models in statistical physics, with an emphasis on analysis of Parrondo’s games. The second half of the thesis is concerned with applying discrete games of chance to the modelling of other phenomena in the discipline of electrical engineering. The important features being the element of switching that is implicit in discrete games of chance and the element of uncertainty, introduced by the random aspect of discrete games of chance. / http://proxy.library.adelaide.edu.au/login?url= http://library.adelaide.edu.au/cgi-bin/Pwebrecon.cgi?BBID=1474722 / Thesis (Ph.D.) - University of Adelaide, School of Electrical and Electronic Engineering, 2009

Thesis (M.S.M.E.)--State University of New York at Binghamton, Watson School of Engineering and Applied Science, 2007. / Includes bibliographical references.

Thesis (Ph. D.)--University of Oregon, 2008. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 122-127). Also available online in Scholars' Bank; and in ProQuest, free to University of Oregon users.

Thesis (Ph. D.)--University of Texas at Austin, 2008. / Vita. Includes bibliographical references.

Thesis (Ph. D.)--University of Alabama at Birmingham, 2008. / Additional advisors: Renato Camata, Nikolai Chernov, Perry A. Gerkines, Gunter Stolz. Description based on contents viewed Feb. 9, 2009; title from PDF t.p. Includes bibliographical references (p. 123-129).

Thesis (Ph. D.)--University of Missouri-Columbia, 1996. / Typescript. Vita. Includes bibliographical references (leaves 39-40). Also available on the Internet.

Thesis (Ph. D.)--University of Missouri-Columbia, 1996. / Typescript. Vita. Includes bibliographical references (leaves 39-40). Also available on the Internet.

Thesis (Ph. D.)--University of Washington, 2004. / Vita. Includes bibliographical references (p. 118-120).

Thesis (Ph. D.)--University of Washington, 1999. / Vita. Includes bibliographical references (leaves 42-43).