Wulff Construction for Deformable Media

Details Wulff Construction for Deformable Media Wulff Construction for Deformable Media

1995-05-25

arxiv.org/abs/cond-mat/9505122v1

Physics

Condensed Matter

34 pages, REVTEX, 8 figures available on request. Please contact Joseph Rudnick (jrudnick@uclaph.physics.ucla.edu)

Scientific paper

A domain in a Langmuir monolayer can be expected to have a shape that reflects the textural anisotropy of the material it contains. This paper explores the consequences of XY-like ordering. It is found that an extension of the Wulff construction allows for the calculation of two-dimensional domain shapes when each segment of the perimeter has an energy that depends both on its orientation and its location. This generalized Wulff construction, and newly-derived exact expressions for the order parameter texture in a circular domain, lead to results for the shape of a large domain. The most striking result is that under general conditions such domains will inevitably develop cusps. We show that the onset of a cusp is mathematically related to a phase transition. The present approach is equivalent to a Landau mean-field version of the theory.

Affiliated with

Also associated with

No associations

Rating

Wulff Construction for Deformable Media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wulff Construction for Deformable Media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wulff Construction for Deformable Media will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-95231