Matsumoto, Elisabetta A.

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  • Publication
    Helical Nanofilaments and the High Chiralty Limit of Smectics A
    (2009-12-18) Matsumoto, Elisabetta A.; Alexander, Gareth P.; Kamien, Randal D.
    Liquid crystalline systems exhibiting both macroscopic chirality and smectic order experience frustration resulting in mesophases possessing complex three-dimensional order. In the twist-grainboundary phase, defect lattices mediate the propagation of twist throughout the system. We propose a new chiral smectic structure composed of a lattice of chiral bundles as a model of the helical nanofilament (B4) phase of bent-core smectics.
  • Publication
    Elastic-Instability Triggered Pattern Formation
    (2009-08-12) Matsumoto, Elisabetta A.; Kamien, Randall D.
    Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple model for determining the orientational order of such patterns using only linear elasticity theory which correctly predicts the outcomes of several experiments. Each element of the pattern is modeled by a “dislocation dipole” located at a point on a lattice, which then interacts elastically with all other dipoles in the system. We explicitly consider a membrane with a square lattice of circular holes under uniform compression and examine the changes in morphology as it is allowed to relax in a specified direction.