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Dahmen, Karin A. Weaver, Richard L. Dahmen, Karin A. Weissman, Michael B. Thaler, Jonathan J. Brinkman, Braden 2013-08-22T16:55:16Z 2013-08-22T16:55:16Z 2015-08-22T10:00:33Z 2013-08 2013-08-22T16:55:16Z 2013-08 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. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-06-13T14:36:52Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: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). No. of bitstreams: 2 Braden_Brinkman.pdf: 4698771 bytes, checksum: ac50f6546ce529f74f2585b538ce950d (MD5) license.txt: 4065 bytes, checksum: 5ec1f89e7fa4169b20fd08e3195ea0aa (MD5) Restriction data tranferred 2014-07-01T11:11:46-05:00 Original Data Group with Access Administrator Release Date: 2015-08-22 11:57:26 UTC Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system Item marked as restricted to the 'Administrator' Group (id=1) by Seth Robbins (srobbins@illinois.edu) on 2013-08-22T16:57:29Z Item is restricted until 2015-08-22T16:57:26Z Limited Restriction Lifted for Item 45593 on 2015-08-22T10:00:33Z. http://hdl.handle.net/2142/45611 en Copyright 2013 by Braden Anthony Wirum Brinkman. All rights reserved. avalanches earthquakes magnets earthquake prediction correlations Failure random field Ising model Using avalanche statistics to forecast failure in models of earthquake faults and magnets text Physics 1244 Physics 0240 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Physics -UIUC 10KS0240PHD