Noisy Transport in Reaction-Diffusion Systems With Quenched Disorder

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Missel, Andrew Royce

Contributors dc:contributor

• Dahmen, Karin A.

• Physics, Theory

Language dc:language

eng

Identifier

(MiAaPQ)AAI3347453

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/80597