{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/113795"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/113795","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Phase transitions and avalanches in synchronizing systems","abstract":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-04-06 without embargo terms","abstract_html":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-04-06 without embargo terms","abstract_has_math":false,"creators":["Coleman, John Patrick"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Weaver, Richard","Dahmen, Karin","Weissman, Michael","El-Khadra, Aida"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-04-29T21:34:01Z","date_published":"2022-04-29T21:34:01Z","updated_at":"2026-07-22T22:24:53Z","subjects":["synchronization","phase transitions"],"languages":["en","eng"],"rights":["Copyright 2021 J. Patrick Coleman"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/113795","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Weaver, Richard","Dahmen, Karin","Weissman, Michael","El-Khadra, Aida"]},{"key":"dc:creator","label":"Author","values":["Coleman, John Patrick"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2022-04-29T21:34:01Z","2021-12","2021-07-23"]},{"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":["synchronization","phase transitions"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2021 J. Patrick Coleman"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/113795"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-04-06 without embargo terms","The student, John Coleman, accepted the attached license on 2021-07-22 at 18:43.","The student, John Coleman, submitted this Dissertation for approval on 2021-07-22 at 18:51.","This Dissertation was approved for publication on 2021-07-23 at 15:43.","DSpace SAF Submission Ingestion Package generated from Vireo submission #17075 on 2022-04-06 at 17:08:30","Made available in DSpace on 2022-04-29T21:34:01Z (GMT). No. of bitstreams: 2 COLEMAN-DISSERTATION-2021.pdf: 11683923 bytes, checksum: 63669b239cfaf3c436cf0b5498f06707 (MD5) LICENSE.txt: 4209 bytes, checksum: 751e2b78aa5f897ca076672b193ec1bb (MD5) Previous issue date: 2021-07-23","Synchronization is a common phenomenon in both natural and built systems for which theoretical understanding is still growing today. The work done here is intended to improve understanding of two examples of synchronization using numerical simulations. First is a system of eccentrically-weighted motors coupled through a common base. The second system is analogous to a laser: it consists of eccentrically-weighted motors distributed across a thin membrane with boundary conditions such that it acts as a resonant cavity. Both systems exhibit dynamical phase transitions between a state of asynchrony between the motors and a state of coordinated synchronization. I make theoretical predictions about when these phase transitions occur and run numerical simulations to test these predictions. Avalanches are often observed in systems near a phase transition. These avalanches are scale invariant and demonstrate bursts of sycnhronized activity within the system. I analyze these two systems for avalanche behavior so as to shed further light on their transitions and help connect them to other critical systems."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Phase transitions and avalanches in synchronizing systems"]}]}],"canonical_facts":{"dc:contributor":["Weaver, Richard","Dahmen, Karin","Weissman, Michael","El-Khadra, Aida"],"dc:creator":["Coleman, John Patrick"],"dc:date":["2022-04-29T21:34:01Z","2021-12","2021-07-23"],"dc:description":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-04-06 without embargo terms","The student, John Coleman, accepted the attached license on 2021-07-22 at 18:43.","The student, John Coleman, submitted this Dissertation for approval on 2021-07-22 at 18:51.","This Dissertation was approved for publication on 2021-07-23 at 15:43.","DSpace SAF Submission Ingestion Package generated from Vireo submission #17075 on 2022-04-06 at 17:08:30","Made available in DSpace on 2022-04-29T21:34:01Z (GMT). No. of bitstreams: 2 COLEMAN-DISSERTATION-2021.pdf: 11683923 bytes, checksum: 63669b239cfaf3c436cf0b5498f06707 (MD5) LICENSE.txt: 4209 bytes, checksum: 751e2b78aa5f897ca076672b193ec1bb (MD5) Previous issue date: 2021-07-23","Synchronization is a common phenomenon in both natural and built systems for which theoretical understanding is still growing today. The work done here is intended to improve understanding of two examples of synchronization using numerical simulations. First is a system of eccentrically-weighted motors coupled through a common base. The second system is analogous to a laser: it consists of eccentrically-weighted motors distributed across a thin membrane with boundary conditions such that it acts as a resonant cavity. Both systems exhibit dynamical phase transitions between a state of asynchrony between the motors and a state of coordinated synchronization. I make theoretical predictions about when these phase transitions occur and run numerical simulations to test these predictions. Avalanches are often observed in systems near a phase transition. These avalanches are scale invariant and demonstrate bursts of sycnhronized activity within the system. I analyze these two systems for avalanche behavior so as to shed further light on their transitions and help connect them to other critical systems."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/113795"],"dc:language":["en","eng"],"dc:rights":["Copyright 2021 J. Patrick Coleman"],"dc:subject":["synchronization","phase transitions"],"dc:title":["Phase transitions and avalanches in synchronizing 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":"2026-07-22T22:24:53Z"}