Die Bevorzugung hexagonaler Strukturen bei symmetrischen Oberflächenformen magnetischer Flüssigkeiten. (The preference of hexagonal structures in symmetric surface forms of magnetic fluid) (Q1103495)
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scientific article; zbMATH DE number 4053275
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Die Bevorzugung hexagonaler Strukturen bei symmetrischen Oberflächenformen magnetischer Flüssigkeiten. (The preference of hexagonal structures in symmetric surface forms of magnetic fluid) |
scientific article; zbMATH DE number 4053275 |
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Die Bevorzugung hexagonaler Strukturen bei symmetrischen Oberflächenformen magnetischer Flüssigkeiten. (The preference of hexagonal structures in symmetric surface forms of magnetic fluid) (English)
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1987
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Summary: A magnetic ideal fluid under the influence of a vertical homogeneous magnetic field is considered. Over rhombic lattices with arbitrary angle equilibrium configurations of the free surface are determined. Especially, for some lattice length \(l_ c\) the bifurcation equations are solved and over regular hexagonal lattices with lattice length \(l>l_ c\) solutions of the bifurcation equations are given. The regular hexagonal structures, in an interval depending on physical parameters, have smallest energy.
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magnetic ideal fluid
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vertical homogeneous magnetic field
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rhombic lattices
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equilibrium configurations
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free surface
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bifurcation equations
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regular hexagonal structures
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0.8093649744987488
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0.7490462064743042
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0.7268665432929993
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0.725070059299469
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