Cell dynamical system approach to block copolymers

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Bahiana, Monica Pereira

Contributors dc:contributor

• Oono, Yoshitsugu

• Statistics
• Chemistry, Polymer
• Physics, Molecular
• Engineering, Materials Science

Statement dc:rights

• Copyright 1990 Bahiana, Monica Pereira

Language dc:language

eng

Identifier

AAI9114170
(UMI)AAI9114170

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21641