Stability analysis of polarized domains
Soft Condensed Matter
2009-10-30 v1 Pattern Formation and Solitons
patt-sol
Fluid Dynamics
Abstract
Polarized ferrofluids, lipid monolayers and magnetic bubbles form domains with deformable boundaries. Stability analysis of these domains depends on a family of nontrivial integrals. We present a closed form evaluation of these integrals as a combination of Legendre functions. This result allows exact and explicit formulae for stability thresholds and growth rates of individual modes. We also evaluate asymptotic behavior in several interesting limits.
Cite
@article{arxiv.cond-mat/9708040,
title = {Stability analysis of polarized domains},
author = {Jose A. Miranda and Michael Widom},
journal= {arXiv preprint arXiv:cond-mat/9708040},
year = {2009}
}
Comments
12 pages, 3 figures, Latex