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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium

Riccardo Cristoferi
Carnegie Melllon University
Title: On local and global minimizers of two sharp Otha-Kawasaki energy

Abstract: Diblock copolymers are a class of two-phase materials. Due to the microphase separation of the two phases, at a mesoscopic scale it is possible to observe very complex patterns (that are seen to be quasi-periodic), and the desiderable properties depend on the structure of these configurations.

This microphase separation has been modeled mathematically by Otha and Kawasaki in the 80's, where observable configurations are expected to be (local) minimizers of the diffuse energy they proposed.

We will present some properties of local and global minimizers of two variational limits of the Otha-Kawasaki energy. One will be in the periodic setting, and the other one in the small volume fraction (i.e., when one phase is negligible with respect to the other). We will also show how these properties will be inherited by local and global minimizers of the diffuse energy.

Date: Tuesday, September 1, 2015
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  Gautam Iyer