In this dissertation, I give an overview of my work on multiscale modeling of interfaces in crystalline and block-copolymer systems. I focus on two distinct interface systems: steps on vicinal surfaces and microdomain interfaces in block- copolymers melts. For each system, I consider how to (i) define the interface, (ii) derive a coarse-grained model of the interface, and (iii) use the model to study morphological features of the interface. For vicinal surfaces, we define a step by means of ensemble averages, which leads to a Burton-Cabrera-Frank (BCF) -type model of surface evolution. Using the BCF model, we study the combined effects of step interactions and fluctuations. For block-copolymers, we define the microdomain interfaces in terms of the relative density of monomers and use the Leibler-Ohta- Kawasaki phase-field Hamiltonian to study the line-edge roughness.
|Advisor:||Einstein, Theodore L., Margetis, Dionisios|
|Commitee:||Einstein, Theodore L., Gallatin, Gregg M., Margetis, Dionisios, Nochetto, Ricardo H., Weeks, John D.|
|School:||University of Maryland, College Park|
|School Location:||United States -- Maryland|
|Source:||DAI-B 75/02(E), Dissertation Abstracts International|
|Subjects:||Polymer chemistry, Physics|
|Keywords:||Asymptotic methods, Interfaces, Multiscale modeling, Polymer physics, Statistical mechanics, Surface physics|
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