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Dynamics of orientational ordering in fluid membranes

Nariya Uchida
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Abstract

We study the dynamics of orientational phase ordering in fluid membranes. Through numerical simulation we find an unusually slow coarsening of topological texture, which is limited by subdiffusive propagation of membrane curvature. The growth of the orientational correlation length $ξ$ obeys a power law $ξ\propto t^w$ with $w < 1/4$ in the late stage. We also discuss defect profiles and correlation patterns in terms of long-range interaction mediated by curvature elasticity.

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Nariya Uchida. 2002-11-12. Dynamics of orientational ordering in fluid membranes. https://doi.org/10.1103/physreve.66.040902

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