Growth of curved crystals: competition between topological defect nucleation and boundary branching

Long Ma, Xuepeng Liu, Ai Kah Soh, Linghui He, Changzheng Wu, Yong Ni

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    Abstract

    Topological defect nucleation and boundary branching in crystal growth on a curved surface are two typical elastic instabilities driven by curvature induced stress, and have usually been discussed separately in the past. In this work they are simultaneously considered during crystal growth on a sphere. Phase diagrams with respect to sphere radius, size, edge energy and stiffness of the crystal for the equilibrium crystal morphologies are achieved by theoretical analysis and validated by Brownian dynamics simulations. The simulation results further demonstrate the detail of morphological evolution governed by these two different stress relaxation modes. Topological defect nucleation and boundary branching not only compete with each other but also coexist in a range of combinations of factors. Clarification of the interaction mechanism provides a better understanding of various curved crystal morphologies for their potential applications.

    Original languageEnglish
    Pages (from-to)4391-4400
    Number of pages10
    JournalSoft Matter
    Volume15
    Issue number21
    DOIs
    Publication statusPublished - 7 Jun 2019

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