{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/45611"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/45611","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Using avalanche statistics to forecast failure in models of earthquake faults and magnets","abstract":"Avalanches - bursts of activity spanning a vast range of sizes - occur in a wide variety of dynamical systems, such as magnets, granular matter, earthquake faults, neuronal networks, and of course the classic example of snow flows on mountains. By studying the statistics of avalanche sizes, we can understand the response of such systems to external driving forces, as well and their susceptibility to catastrophic failures. In this thesis, I present my work using models of avalanche statistics to study large failure avalanches. In particular, I use these avalanche models to explore statistical signals which can predict the likelihood of large earthquakes in a simple model of earthquake statistics. This analysis may also have applications to predicting seizures in neuronal networks. I also explore the eff ect that coupling has in models of disordered magnets which yield giant magnetization-reversal avalanches, which may have applications to predicting failures in power grid networks.","abstract_html":"Avalanches - bursts of activity spanning a vast range of sizes - occur in a wide variety of dynamical systems, such as magnets, granular matter, earthquake faults, neuronal networks, and of course the classic example of snow flows on mountains. By studying the statistics of avalanche sizes, we can understand the response of such systems to external driving forces, as well and their susceptibility to catastrophic failures. In this thesis, I present my work using models of avalanche statistics to study large failure avalanches. In particular, I use these avalanche models to explore statistical signals which can predict the likelihood of large earthquakes in a simple model of earthquake statistics. This analysis may also have applications to predicting seizures in neuronal networks. I also explore the eff ect that coupling has in models of disordered magnets which yield giant magnetization-reversal avalanches, which may have applications to predicting failures in power grid networks.","abstract_has_math":false,"creators":["Brinkman, Braden"],"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.","Weaver, Richard L.","Weissman, Michael B.","Thaler, Jonathan J."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-08-22T16:55:16Z","date_published":"2013-08-22T16:55:16Z","updated_at":"2026-07-22T22:25:36Z","subjects":["avalanches","earthquakes","magnets","earthquake prediction","correlations","Failure","random field Ising model"],"languages":["en"],"rights":["Copyright 2013 by Braden Anthony Wirum Brinkman. All rights reserved."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/45611","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dahmen, Karin A.","Weaver, Richard L.","Weissman, Michael B.","Thaler, Jonathan J."]},{"key":"dc:creator","label":"Author","values":["Brinkman, Braden"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2013-08-22T16:55:16Z","2015-08-22T10:00:33Z","2013-08"]},{"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":["avalanches","earthquakes","magnets","earthquake prediction","correlations","Failure","random field Ising model"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2013 by Braden Anthony Wirum Brinkman. 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This analysis may also have applications to predicting seizures in neuronal networks. I also explore the eff ect that coupling has in models of disordered magnets which yield giant magnetization-reversal avalanches, which may have applications to predicting failures in power grid networks.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-06-13T14:36:52Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Brinkman_Braden.pdf: 4696953 bytes, checksum: 93482e44f4b6f2a94df87e7e96d35935 (MD5)","Made available in DSpace on 2013-08-22T16:55:16Z (GMT). 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I also explore the eff ect that coupling has in models of disordered magnets which yield giant magnetization-reversal avalanches, which may have applications to predicting failures in power grid networks.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-06-13T14:36:52Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Brinkman_Braden.pdf: 4696953 bytes, checksum: 93482e44f4b6f2a94df87e7e96d35935 (MD5)","Made available in DSpace on 2013-08-22T16:55:16Z (GMT). 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All rights reserved."],"dc:subject":["avalanches","earthquakes","magnets","earthquake prediction","correlations","Failure","random field Ising model"],"dc:title":["Using avalanche statistics to forecast failure in models of earthquake faults and magnets"],"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":"2026-07-22T22:25:36Z"}