Cell dynamical system approach to block copolymers
Bahiana, Monica Pereira
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https://hdl.handle.net/2142/21641
Description
Title
Cell dynamical system approach to block copolymers
Author(s)
Bahiana, Monica Pereira
Issue Date
1990
Doctoral Committee Chair(s)
Oono, Yoshitsugu
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Statistics
Chemistry, Polymer
Physics, Molecular
Engineering, Materials Science
Language
eng
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.
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