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Kidney-boojum-like solutions and exact shape equation of lipid monolayer domains

  • Mitsumasa Iwamoto
  • , Fei Liu
  • , Zhong Can Ou-Yang
  • Institute of Science Tokyo
  • Tsinghua University
  • CAS - Institute of Theoretical Physics

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The shape of the solid lipid monolayer domain surrounded by a fluid phase is of considerable interest from both physical and mathematical points of view. Here, we report two new results about this topic. First, we find an exact analytical solution to an approximated shape equation that we derived recently. This solution can well-describe the kidney- and boojum-like domains that abound in lipid monolayer. Second, we derive an exact domain shape equation by a direct variation of domain energy without any artificial cutoff. We find no continuous solutions that satisfy this shape equation due to the divergence of its coefficients, which is rooted in the continuous description of electrostatic dipoles.

Original languageEnglish
Title of host publicationProceedings of the Conference in Honor of C. N. Yang's 85th Birthday
Subtitle of host publicationStatistical Physics, High Energy, Condensed Matter and Mathematical Physics
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages477-484
Number of pages8
ISBN (Print)9812794174, 9789812794178
StatePublished - 2008
Externally publishedYes
Event2007 Conference in Honor of C. N. Yang's 85th Birthday: Statistical Physics, High Energy, Condensed Matter and Mathematical Physics - Singapore, Singapore
Duration: 31 Oct 20073 Nov 2007

Publication series

NameProceedings of the Conference in Honor of C. N. Yang's 85th Birthday: Statistical Physics, High Energy, Condensed Matter and Mathematical Physics

Conference

Conference2007 Conference in Honor of C. N. Yang's 85th Birthday: Statistical Physics, High Energy, Condensed Matter and Mathematical Physics
Country/TerritorySingapore
CitySingapore
Period31/10/073/11/07

Keywords

  • Energy variation
  • Neumann's formula
  • Shape equation
  • Solid lipid monolayer domain

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