Wulff Construction for Deformable Media
| dc.creator | Rudnick, Joseph | |
| dc.creator | Bruinsma, Robijn | |
| dc.date | 1995-05-25 | |
| dc.date.accessioned | 2026-07-07T03:07:43Z | |
| dc.date.available | 2026-07-07T03:07:43Z | |
| dc.description | 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. | |
| dc.description | 34 pages, REVTEX, 8 figures available on request. Please contact Joseph Rudnick (jrudnick@uclaph.physics.ucla.edu) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9505122 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9505122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27276 | |
| dc.subject | Condensed Matter | |
| dc.title | Wulff Construction for Deformable Media | |
| dc.type | text |