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Title:Noisy Transport in Reaction-Diffusion Systems With Quenched Disorder
Author(s):Missel, Andrew Royce
Doctoral Committee Chair(s):Dahmen, Karin A.
Department / Program:Physics
Discipline:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Physics, Theory
Abstract:In order to determine the nature of transport in this system analytically, I will use a variety of tools drawn from disparate sources, including the theory of hopping conduction in doped semiconductors and first passage percolation. These tools will allow for predictions to be made for a number of important transport-related features: the infection time, or time needed for the population to traverse the system; the velocity of the front moving through the system; and the dynamic roughening of the front. I will also present the results of simulations of the system that largely confirm the analytical predictions. Finally, in the second part of the dissertation I will study a pair of closely related RD models, one of which exhibits an active to absorbing state phase transition.
Issue Date:2008
Type:Text
Language:English
Description:110 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.
URI:http://hdl.handle.net/2142/80597
Other Identifier(s):(MiAaPQ)AAI3347453
Date Available in IDEALS:2015-09-25
Date Deposited:2008


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