IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v354y2019icp192-205.html
   My bibliography  Save this article

A phase separation problem and geodesic disks on Cassinian oval surfaces

Author

Listed:
  • Barg, Michael C.
  • Mangum, Amanda J.

Abstract

We conduct numerical investigations into the shape of equilibrium patches on Cassinian oval surfaces. Such patches arise as minimizers of a Landau-type free energy subject to a conservation constraint. The equilibrium patch shape and location depends on a number of factors, including the grid size, a diffusion coefficient, a conservation parameter, and the initial phase distribution. We develop a scheme to distinguish between those patches that closely approximate geodesic disks and those patches that are poor approximations to geodesic disks. We find that the poor approximations form when the patch is relatively large, in contrast to what other researchers found for ellipsoid surfaces.

Suggested Citation

  • Barg, Michael C. & Mangum, Amanda J., 2019. "A phase separation problem and geodesic disks on Cassinian oval surfaces," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 192-205.
  • Handle: RePEc:eee:apmaco:v:354:y:2019:i:c:p:192-205
    DOI: 10.1016/j.amc.2019.02.037
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319301419
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2019.02.037?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tobias Baumgart & Samuel T. Hess & Watt W. Webb, 2003. "Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension," Nature, Nature, vol. 425(6960), pages 821-824, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rower, David A. & Atzberger, Paul J., 2023. "Coarse-grained methods for heterogeneous vesicles with phase-separated domains: Elastic mechanics of shape fluctuations, plate compression, and channel insertion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 342-361.
    2. Zhao, Shubo & Xiao, Xufeng & Feng, Xinlong, 2020. "An efficient time adaptivity based on chemical potential for surface Cahn–Hilliard equation using finite element approximation," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    3. Nebojsa Jukic & Alma P. Perrino & Frédéric Humbert & Aurélien Roux & Simon Scheuring, 2022. "Snf7 spirals sense and alter membrane curvature," Nature Communications, Nature, vol. 13(1), pages 1-17, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:354:y:2019:i:c:p:192-205. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.