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Stability analysis of polarized domains

Jose A. Miranda·Michael Widom
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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.

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Jose A. Miranda, Michael Widom. 1997-08-05. Stability analysis of polarized domains. https://doi.org/10.1103/physreve.55.3758

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