{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/31249"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/31249","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Theory of High Temperature Spin Dynamics","abstract":"The problems of high-temperature spin dynamics have practical applications in the fields of nuclear magnetic resonance and inelastic neutron scattering. At the same time. those problems represent an important limit for the study of strongly interacting many-body systerns. In this thesis, we consider systems of interacting spins-both classical and quantum-and develop the quantitative theory of the time-dependent correlation functions characterizing the high temperature spin dynamics. The original results presented in this thesis include: (I) model-independent analysis of the long-time behavior of the correlation functions of interest, which reveals that that behavior has a universal functional form; (II) model for approximate calculations of the correlation functions of interest; (III) extensive simulations of the classical spin systems performed in order to test the long-time analysis and the approximation technique.","abstract_html":"The problems of high-temperature spin dynamics have practical applications in the fields of nuclear magnetic resonance and inelastic neutron scattering. At the same time. those problems represent an important limit for the study of strongly interacting many-body systerns. In this thesis, we consider systems of interacting spins-both classical and quantum-and develop the quantitative theory of the time-dependent correlation functions characterizing the high temperature spin dynamics. The original results presented in this thesis include: (I) model-independent analysis of the long-time behavior of the correlation functions of interest, which reveals that that behavior has a universal functional form; (II) model for approximate calculations of the correlation functions of interest; (III) extensive simulations of the classical spin systems performed in order to test the long-time analysis and the approximation technique.","abstract_has_math":false,"creators":["Fine, Boris Veniaminovich"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Leggett, Anthony J."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-05-29T17:09:53Z","date_published":"2012-05-29T17:09:53Z","updated_at":"2026-07-22T22:25:30Z","subjects":["spin dynamics","nuclear magnetic resonace","inelastic neutron scattering","interacting spins"],"languages":["en"],"rights":["©2000 Fine"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["4350757"],"render_values":[{"text":"4350757","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/31249","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Leggett, Anthony J."]},{"key":"dc:creator","label":"Author","values":["Fine, Boris Veniaminovich"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-05-29T17:09:53Z","10000-01-01","2000"]},{"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":["spin dynamics","nuclear magnetic resonace","inelastic neutron scattering","interacting spins"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["©2000 Fine"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/31249","4350757"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The problems of high-temperature spin dynamics have practical applications in the fields of nuclear magnetic resonance and inelastic neutron scattering. At the same time. those problems represent an important limit for the study of strongly interacting many-body systerns. In this thesis, we consider systems of interacting spins-both classical and quantum-and develop the quantitative theory of the time-dependent correlation functions characterizing the high temperature spin dynamics. The original results presented in this thesis include: (I) model-independent analysis of the long-time behavior of the correlation functions of interest, which reveals that that behavior has a universal functional form; (II) model for approximate calculations of the correlation functions of interest; (III) extensive simulations of the classical spin systems performed in order to test the long-time analysis and the approximation technique.","Submitted by William Weathers (weathrs2@illinois.edu) on 2012-05-29T17:09:53Z No. of bitstreams: 1 2000_fine.pdf: 4960904 bytes, checksum: 51b70456c26f93739c2de5c62fb3f18f (MD5)","Made available in DSpace on 2012-05-29T17:09:53Z (GMT). No. of bitstreams: 1 2000_fine.pdf: 4960904 bytes, checksum: 51b70456c26f93739c2de5c62fb3f18f (MD5) Previous issue date: 2000","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Weathers (weathrs2@illinois.edu) on 2012-05-29T17:09:53Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:10:18-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Theory of High Temperature Spin Dynamics"]}]}],"canonical_facts":{"dc:contributor":["Leggett, Anthony J."],"dc:creator":["Fine, Boris Veniaminovich"],"dc:date":["2012-05-29T17:09:53Z","10000-01-01","2000"],"dc:description":["The problems of high-temperature spin dynamics have practical applications in the fields of nuclear magnetic resonance and inelastic neutron scattering. At the same time. those problems represent an important limit for the study of strongly interacting many-body systerns. In this thesis, we consider systems of interacting spins-both classical and quantum-and develop the quantitative theory of the time-dependent correlation functions characterizing the high temperature spin dynamics. The original results presented in this thesis include: (I) model-independent analysis of the long-time behavior of the correlation functions of interest, which reveals that that behavior has a universal functional form; (II) model for approximate calculations of the correlation functions of interest; (III) extensive simulations of the classical spin systems performed in order to test the long-time analysis and the approximation technique.","Submitted by William Weathers (weathrs2@illinois.edu) on 2012-05-29T17:09:53Z No. of bitstreams: 1 2000_fine.pdf: 4960904 bytes, checksum: 51b70456c26f93739c2de5c62fb3f18f (MD5)","Made available in DSpace on 2012-05-29T17:09:53Z (GMT). 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