SC13 Denver, CO

The International Conference for High Performance Computing, Networking, Storage and Analysis

Interactive Volume Rendering of Block Copolymer’s Defect Formation and Evolution.

Authors: Shuxia Zhang (University of Minnesota), David Porter (University of Minnesota), Jeffrey Mcdonald (University of Minnesota), Jorge Viñals (University of Minnesota)

Abstract: The study of defect formation and evolution in large aspect ratio samples of a block copolymer has great importance for practical designs in emerging technologies because they usually require coherent and uniform patterns over sufficiently large length scales. Many numerical computations of transient pattern dynamics to date have documented the existence and motion of topological defects. However, they are either two dimensional (so that defect lines are simply points) or consider a relatively small system in which it is difficult to make quantitative statements about defect statistics. We have developed a new method that combines traditional CPUs for computation, and GPUs for real time visualization to examine defect formation and motion as given by the Swift Hohenberg equation governing the evolution of a scalar order parameter field ψ. Volume-rendering technique is used to visualize the location and motion of singularities of ψ. Two different approaches are considered: one based on the local rotation of the order parameter called MFP and another, GP2P2, based on a combination of ψ and its gradient so as to extract the local, slowly varying amplitude of the pattern, but eliminate its order one periodicity. We find that both methods are capable of identifying the location of defects, and yield essentially the same large-scale structures. The video uploaded shows the defect structures measured by MFP (the left ) and GP2P2 (the right) as well as their evolution in 3D domain. The stereo format of the same animation is also available upon request.

PDF: pdf

Presentation: pptx

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