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Title:Using avalanche statistics to forecast failure in models of earthquake faults and magnets
Author(s):Brinkman, Braden
Director of Research:Dahmen, Karin A.
Doctoral Committee Chair(s):Weaver, Richard L.
Doctoral Committee Member(s):Dahmen, Karin A.; Weissman, Michael B.; Thaler, Jonathan J.
Department / Program:Physics
Discipline:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):avalanches
earthquakes
magnets
earthquake prediction
correlations
Failure
random field Ising model
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.
Issue Date:2013-08-22
URI:http://hdl.handle.net/2142/45611
Rights Information:Copyright 2013 by Braden Anthony Wirum Brinkman. All rights reserved.
Date Available in IDEALS:2013-08-22
2015-08-22
Date Deposited:2013-08


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