{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80597"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80597","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Noisy Transport in Reaction-Diffusion Systems With Quenched Disorder","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Missel, Andrew Royce"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Dahmen, Karin A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:03:14Z","date_published":"2015-09-25T20:03:14Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Physics, Theory"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3347453"],"render_values":[{"text":"(MiAaPQ)AAI3347453","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80597","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dahmen, Karin A."]},{"key":"dc:creator","label":"Author","values":["Missel, Andrew Royce"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:03:14Z","10000-01-01","2008"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/80597","(MiAaPQ)AAI3347453"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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. 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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.","Made available in DSpace on 2015-09-25T20:03:14Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3347453.pdf: 5998763 bytes, checksum: 8c2a0020bd598d39493a0f45d2f2c7e5 (MD5) Previous issue date: 2008","Embargo set by: Seth Robbins for item 81879 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","110 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008."],"dc:identifier":["http://hdl.handle.net/2142/80597","(MiAaPQ)AAI3347453"],"dc:language":["eng"],"dc:subject":["Physics, Theory"],"dc:title":["Noisy Transport in Reaction-Diffusion Systems With Quenched Disorder"],"dc:type":["text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:14Z"}