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oai:www.ideals.illinois.edu:2142/45523 2023-07-11 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

Dahmen, Karin A. Oono, Yoshitsugu Dahmen, Karin A. Selvin, Paul R. Weissman, Michael B. Friedman, Nir 2013-08-22T16:43:05Z 2013-08-22T16:43:05Z 2013-08 2013-08-22T16:43:05Z 2013-08 The idea of systems that evolve via avalanches is a simple, yet powerful one. A collection of elements that interact with one another, with each element possessing the ability to change the state of other elements when it undergoes a change. These other newly changed elements may affect yet more, and in this way a single initial event can trigger a cascade of activity. I apply the ideas of non-equilibrium, avalanching models with quenched disorder to three different sys- tems. The first system is the neuronal network in in vitro rat cortex; neurons generate electrical impulses that travel along axons and dendrites to potentiall influence the behavior of other neurons. The second sys- tem is the deformation characteristics of nanoscale metallic pillars; increasing stress dislodges dislocations which interact elastically with other dislocations. The third system the random field Ising model, with the twist of introducing long range correlations in the quenched disorder. The differing nature of the systems emphasizes the very strong utility of these models, that are very simple, yet enable powerful statistical predictions about a wide range of systems. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-05-21T15:40:26Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Friedman_Nir.pdf: 1875903 bytes, checksum: bb8649d8ab583a6def6803d5fd3b4fb0 (MD5) Made available in DSpace on 2013-08-22T16:43:05Z (GMT). No. of bitstreams: 2 Nir_Friedman.pdf: 1875903 bytes, checksum: bb8649d8ab583a6def6803d5fd3b4fb0 (MD5) license.txt: 4062 bytes, checksum: 94a526ff84eb8a0080ee2f15bc278130 (MD5) http://hdl.handle.net/2142/45523 en Copyright 2013 Nir Friedman. All rights reserved. physics statistics avalanches non equilibrium neurons networks Nanocrystals random field Ising model correlated disorder Avalanches in disordered systems text 0240 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Physics -UIUC 10KS0240PHD Physics 1244 Physics