{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/31238"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/31238","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A Random first order theory of liquid-glass transition","abstract":"\"It is believed that all classical fluids could form glasses if cooled sufficiently fast so as to avoid crystallization. Various phenomena including violation of the usual Arrhenius law, stretched relaxations, deviations from the Stokes-Einstein relation in hydrodynamics, and aging have been observed in the laboratory. In this thesis, a microscopically motivated theory of glassy dynamics based on an underlying random first order transition is developed to explain the magnitude and variation of free energy barriers for glassy relaxation. A variety of empirical correlations embodied in the concept of liquid \"\"fragility\"\" are shown to be quantitatively explained by such a model. Fragility parameters, the size of heterogeneities, the degree of stretching of relaxations, and the enhancement of translational diffusion are derived from theory. The wide variety of kinetic behaviors in liquids of quite disparate chemical nature reflects quantitative rather than qualitative differences in their energy landscapes as it turns out. lll\"","abstract_html":""It is believed that all classical fluids could form glasses if cooled sufficiently fast so as to avoid crystallization. Various phenomena including violation of the usual Arrhenius law, stretched relaxations, deviations from the Stokes-Einstein relation in hydrodynamics, and aging have been observed in the laboratory. In this thesis, a microscopically motivated theory of glassy dynamics based on an underlying random first order transition is developed to explain the magnitude and variation of free energy barriers for glassy relaxation. A variety of empirical correlations embodied in the concept of liquid ""fragility"" are shown to be quantitatively explained by such a model. Fragility parameters, the size of heterogeneities, the degree of stretching of relaxations, and the enhancement of translational diffusion are derived from theory. The wide variety of kinetic behaviors in liquids of quite disparate chemical nature reflects quantitative rather than qualitative differences in their energy landscapes as it turns out. lll"","abstract_has_math":false,"creators":["Xia, Xiaoyu"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Wolynes, P.G.","Phillips, Philip W.","Weissman, Michael B.","Chiang, Tai-Chang"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-05-23T21:45:31Z","date_published":"2012-05-23T21:45:31Z","updated_at":"2026-07-22T22:25:30Z","subjects":["glassy dynamics","liquid-glass transition","fluids","Glass","Arrhenius law"],"languages":["en"],"rights":["© Copyright Xiaoyu Xia, 2001"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["4539118"],"render_values":[{"text":"4539118","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/31238","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Wolynes, P.G.","Phillips, Philip W.","Weissman, Michael B.","Chiang, Tai-Chang"]},{"key":"dc:creator","label":"Author","values":["Xia, Xiaoyu"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-05-23T21:45:31Z","10000-01-01","2001"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","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."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["glassy dynamics","liquid-glass transition","fluids","Glass","Arrhenius law"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["© Copyright Xiaoyu Xia, 2001"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["4539118","http://hdl.handle.net/2142/31238"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"It is believed that all classical fluids could form glasses if cooled sufficiently fast so as to avoid crystallization. Various phenomena including violation of the usual Arrhenius law, stretched relaxations, deviations from the Stokes-Einstein relation in hydrodynamics, and aging have been observed in the laboratory. In this thesis, a microscopically motivated theory of glassy dynamics based on an underlying random first order transition is developed to explain the magnitude and variation of free energy barriers for glassy relaxation. A variety of empirical correlations embodied in the concept of liquid \"\"fragility\"\" are shown to be quantitatively explained by such a model. Fragility parameters, the size of heterogeneities, the degree of stretching of relaxations, and the enhancement of translational diffusion are derived from theory. The wide variety of kinetic behaviors in liquids of quite disparate chemical nature reflects quantitative rather than qualitative differences in their energy landscapes as it turns out. lll\"","Submitted by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-05-23T21:45:31Z No. of bitstreams: 1 2001_Xia.pdf: 1965267 bytes, checksum: 92ca4cc82f427483b39c41591e2235f2 (MD5)","Made available in DSpace on 2012-05-23T21:45:31Z (GMT). No. of bitstreams: 1 2001_Xia.pdf: 1965267 bytes, checksum: 92ca4cc82f427483b39c41591e2235f2 (MD5) Previous issue date: 2001","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-05-23T21:45:31Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:34:57-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: dissertation","dissertation","U of I Only"]},{"key":"dc:title","label":"Title","values":["A Random first order theory of liquid-glass transition"]}]}],"canonical_facts":{"dc:contributor":["Wolynes, P.G.","Phillips, Philip W.","Weissman, Michael B.","Chiang, Tai-Chang"],"dc:creator":["Xia, Xiaoyu"],"dc:date":["2012-05-23T21:45:31Z","10000-01-01","2001"],"dc:description":["\"It is believed that all classical fluids could form glasses if cooled sufficiently fast so as to avoid crystallization. Various phenomena including violation of the usual Arrhenius law, stretched relaxations, deviations from the Stokes-Einstein relation in hydrodynamics, and aging have been observed in the laboratory. In this thesis, a microscopically motivated theory of glassy dynamics based on an underlying random first order transition is developed to explain the magnitude and variation of free energy barriers for glassy relaxation. A variety of empirical correlations embodied in the concept of liquid \"\"fragility\"\" are shown to be quantitatively explained by such a model. Fragility parameters, the size of heterogeneities, the degree of stretching of relaxations, and the enhancement of translational diffusion are derived from theory. The wide variety of kinetic behaviors in liquids of quite disparate chemical nature reflects quantitative rather than qualitative differences in their energy landscapes as it turns out. lll\"","Submitted by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-05-23T21:45:31Z No. of bitstreams: 1 2001_Xia.pdf: 1965267 bytes, checksum: 92ca4cc82f427483b39c41591e2235f2 (MD5)","Made available in DSpace on 2012-05-23T21:45:31Z (GMT). No. of bitstreams: 1 2001_Xia.pdf: 1965267 bytes, checksum: 92ca4cc82f427483b39c41591e2235f2 (MD5) Previous issue date: 2001","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-05-23T21:45:31Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:34:57-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: dissertation","dissertation","U of I Only"],"dc:identifier":["4539118","http://hdl.handle.net/2142/31238"],"dc:language":["en"],"dc:rights":["© Copyright Xiaoyu Xia, 2001"],"dc:subject":["glassy dynamics","liquid-glass transition","fluids","Glass","Arrhenius law"],"dc:title":["A Random first order theory of liquid-glass transition"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:30Z"}