• Login
    View Item 
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguidePlumX LibguideSubmit an Item

    Statistics

    Display statistics

    Nematic Equilibria on a Two-Dimensional Annulus

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Type
    Article
    Authors
    Lewis, A. H.
    Aarts, D. G. A. L.
    Howell, P. D.
    Majumdar, A.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2017-01-16
    Online Publication Date
    2017-01-16
    Print Publication Date
    2017-05
    Permanent link to this record
    http://hdl.handle.net/10754/623570
    
    Metadata
    Show full item record
    Abstract
    We study planar nematic equilibria on a two-dimensional annulus with strong and weak tangent anchoring, in the Oseen–Frank theoretical framework. We analyze a radially invariant defect-free state and compute analytic stability criteria for this state in terms of the elastic anisotropy, annular aspect ratio, and anchoring strength. In the strong anchoring case, we define and characterize a new spiral-like equilibrium which emerges as the defect-free state loses stability. In the weak anchoring case, we compute stability diagrams that quantify the response of the defect-free state to radial and azimuthal perturbations. We study sector equilibria on sectors of an annulus, including the effects of weak anchoring and elastic anisotropy, giving novel insights into the correlation between preferred numbers of boundary defects and the geometry. We numerically demonstrate that these sector configurations can approximate experimentally observed equilibria with boundary defects.
    Citation
    Lewis AH, Aarts DGAL, Howell PD, Majumdar A (2017) Nematic Equilibria on a Two-Dimensional Annulus. Studies in Applied Mathematics 138: 438–466. Available: http://dx.doi.org/10.1111/sapm.12161.
    Sponsors
    We thank Dr. Oliver Dammone for valuable discussions. AL is supported by the Engineering and Physical Sciences Research Council (EPSRC) studentship. AM is supported by an EPSRC Career Acceleration Fellowship EP/J001686/1 and EP/J001686/2, an OCCAM Visiting Fellowship and the Keble Advanced Studies Centre. This publication is partly based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). In compliance with EPSRC's open access initiative, the data in this paper are available from https://doi.org/10.5287/bodleian:R59G8pEMv.
    Publisher
    Wiley
    Journal
    Studies in Applied Mathematics
    DOI
    10.1111/sapm.12161
    ae974a485f413a2113503eed53cd6c53
    10.1111/sapm.12161
    Scopus Count
    Collections
    Publications Acknowledging KAUST Support

    entitlement

     
    DSpace software copyright © 2002-2021  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.