{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/45523"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/45523","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Avalanches in disordered systems","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Friedman, Nir"],"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.","Oono, Yoshitsugu","Selvin, Paul R.","Weissman, Michael B."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-08-22T16:43:05Z","date_published":"2013-08-22T16:43:05Z","updated_at":"2026-07-22T22:25:36Z","subjects":["physics","statistics","avalanches","non equilibrium","neurons","networks","Nanocrystals","random field Ising model","correlated disorder"],"languages":["en"],"rights":["Copyright 2013 Nir Friedman. All rights reserved."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/45523","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dahmen, Karin A.","Oono, Yoshitsugu","Selvin, Paul R.","Weissman, Michael B."]},{"key":"dc:creator","label":"Author","values":["Friedman, Nir"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2013-08-22T16:43:05Z","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":["physics","statistics","avalanches","non equilibrium","neurons","networks","Nanocrystals","random field Ising model","correlated disorder"]}]},{"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 Nir Friedman. 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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). 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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. 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All rights reserved."],"dc:subject":["physics","statistics","avalanches","non equilibrium","neurons","networks","Nanocrystals","random field Ising model","correlated disorder"],"dc:title":["Avalanches in disordered systems"],"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"}