Skip navigation
  • Home
  • Browse
    • Communities
      & Collections
    • Browse Items by:
    • Publication Date
    • Author
    • Title
    • Subject
    • Department
  • Sign on to:
    • My MacSphere
    • Receive email
      updates
    • Edit Profile


McMaster University Home Page
  1. MacSphere
  2. Open Access Dissertations and Theses Community
  3. Open Access Dissertations and Theses
Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/22189
Title: On Landau–de Gennes Energy Minimizers Surrounding Generalized Colloid Particles
Authors: van Brussel, Lee
Advisor: Bronsard, Lia
Department: Mathematics and Statistics
Publication Date: 2017
Abstract: We consider the interaction between a single colloid particle of generalized shape and nematic liquid crystal in the framework of Landau–de Gennes theory. At the particle surface, general strong or weak uniaxial anchoring conditions are applied as well as uniform uniaxial forcing at infinity. In this context, it is found that the field-free Landau–de Gennes functional with surface energy admits uniformly continuous minimizers. We then study two examples of non-spherical colloids in a limiting regime known as the ‘small particle limit’. Explicit solutions to the small particle limit are found in the case of a prolate and oblate spheroidal colloid with ‘almost homeotropic’ strong anchoring. From there, a Saturn ring defect is numerically observed in both cases.
URI: http://hdl.handle.net/11375/22189
Appears in Collections:Open Access Dissertations and Theses

Files in This Item:
File Description SizeFormat 
vanbrussel_lee_w_2017may_msc.pdf
Open Access
786.76 kBAdobe PDFView/Open
Show full item record Statistics


Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.

Sherman Centre for Digital Scholarship     McMaster University Libraries
©2022 McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4L8 | 905-525-9140 | Contact Us | Terms of Use & Privacy Policy | Feedback

Report Accessibility Issue