2026-09-21T15:27:57Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/113795 2023-07-11 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

application/pdf en Weaver, Richard Dahmen, Karin Weissman, Michael El-Khadra, Aida 2022-04-29T21:34:01Z 2021-12 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 text Phase transitions and avalanches in synchronizing systems Coleman, John Patrick 2021-07-23 synchronization phase transitions 2022-04-29T21:34:01Z 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. text eng http://hdl.handle.net/2142/113795 Copyright 2021 J. Patrick Coleman Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.