Pattern and wavenumber selection in ferrofluids

Details Pattern and wavenumber selection in ferrofluids Pattern and wavenumber selection in ferrofluids

2001-02-02

arxiv.org/abs/nlin/0102004v2

Phys. Rev. E 64, 021406 (2001)

Nonlinear Sciences

Pattern Formation and Solitons

14 pages, 11 figures; added references, revised version published in PRE

Scientific paper

10.1103/PhysRevE.64.021406

The formation of patterns of peaks on the free surface of a ferrofluid subject to a magnetic field normal to the undisturbed interface is investigated theoretically. The relative stability of ridge, square, and hexagon planforms is studied using a perturbative energy minimization procedure. Extending previous studies the finite depth of the fluid layer is taken into account. Moreover, adding the wavenumber modulus $k$ to the set of variational parameters also the wavenumber selection problem is addressed. The results are compared with previous investigations and recent experimental findings.

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