Pattern and wavenumber selection in ferrofluids
斑图形成与孤子
2016-08-16 v2
摘要
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 to the set of variational parameters also the wavenumber selection problem is addressed. The results are compared with previous investigations and recent experimental findings.
引用
@article{arxiv.nlin/0102004,
title = {Pattern and wavenumber selection in ferrofluids},
author = {René Friedrichs and Andreas Engel},
journal= {arXiv preprint arXiv:nlin/0102004},
year = {2016}
}
备注
14 pages, 11 figures; added references, revised version published in PRE