{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/21641"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/21641","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Cell dynamical system approach to block copolymers","abstract":"In this thesis we discuss a mesoscale model of block-copolymer (BCP) microphase separation dynamics based on a cell dynamics system (CDS) model. The model suggests a partial differential equation (PDE) model that allows us to find a close relation between the block copolymer and spinodal decomposition problems. A detailed numerical study of the CDS model is given, which indicates that hydrodynamic effects are crucial for very late time ordering processes. The strong segregation regime is studied analytically with the aid of exactly solvable PDE model, which is suggested by the universality supported by the CDS simulations. The results obtained show that dimensional analysis gives the correct exponent for the block copolymer lamellar thickness.","abstract_html":"In this thesis we discuss a mesoscale model of block-copolymer (BCP) microphase separation dynamics based on a cell dynamics system (CDS) model. The model suggests a partial differential equation (PDE) model that allows us to find a close relation between the block copolymer and spinodal decomposition problems. A detailed numerical study of the CDS model is given, which indicates that hydrodynamic effects are crucial for very late time ordering processes. The strong segregation regime is studied analytically with the aid of exactly solvable PDE model, which is suggested by the universality supported by the CDS simulations. The results obtained show that dimensional analysis gives the correct exponent for the block copolymer lamellar thickness.","abstract_has_math":false,"creators":["Bahiana, Monica Pereira"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Oono, Yoshitsugu"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:14:45Z","date_published":"2011-05-07T13:14:45Z","updated_at":"2026-07-22T22:25:18Z","subjects":["Statistics","Chemistry, Polymer","Physics, Molecular","Engineering, Materials Science"],"languages":["eng"],"rights":["Copyright 1990 Bahiana, Monica Pereira"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9114170","(UMI)AAI9114170"],"render_values":[{"text":"AAI9114170","href":null,"code":true},{"text":"(UMI)AAI9114170","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/21641","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Oono, Yoshitsugu"]},{"key":"dc:creator","label":"Author","values":["Bahiana, Monica Pereira"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:14:45Z","10000-01-01","1990"]},{"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":["Statistics","Chemistry, Polymer","Physics, Molecular","Engineering, Materials Science"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1990 Bahiana, Monica Pereira"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9114170","(UMI)AAI9114170","http://hdl.handle.net/2142/21641"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis we discuss a mesoscale model of block-copolymer (BCP) microphase separation dynamics based on a cell dynamics system (CDS) model. The model suggests a partial differential equation (PDE) model that allows us to find a close relation between the block copolymer and spinodal decomposition problems. A detailed numerical study of the CDS model is given, which indicates that hydrodynamic effects are crucial for very late time ordering processes. The strong segregation regime is studied analytically with the aid of exactly solvable PDE model, which is suggested by the universality supported by the CDS simulations. The results obtained show that dimensional analysis gives the correct exponent for the block copolymer lamellar thickness.","Made available in DSpace on 2011-05-07T13:14:45Z (GMT). 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The model suggests a partial differential equation (PDE) model that allows us to find a close relation between the block copolymer and spinodal decomposition problems. A detailed numerical study of the CDS model is given, which indicates that hydrodynamic effects are crucial for very late time ordering processes. The strong segregation regime is studied analytically with the aid of exactly solvable PDE model, which is suggested by the universality supported by the CDS simulations. The results obtained show that dimensional analysis gives the correct exponent for the block copolymer lamellar thickness.","Made available in DSpace on 2011-05-07T13:14:45Z (GMT). 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