Stability analysis of polarized domains

Details Stability analysis of polarized domains Stability analysis of polarized domains

1997-08-05

arxiv.org/abs/cond-mat/9708040v1

Phys. Rev. E 55 (1997) 3758

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 3 figures, Latex

Scientific paper

10.1103/PhysRevE.55.3758

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.

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