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- W2000467723 abstract "Abstract A magnetic fluid surface subject to normal magnetic field H , results in pattern formation when H exceeds some critical value H c . The critical value H c of a magnetic field for the onset of surface instability has been determined as a function of surface concentration. By using symmetric bifurcation theory, periodic patterns are studied in a magnetic fluid with surface adsorption. The various non-linear coefficients in the normal forms for square lattice and hexagonal lattice have been computed from the non-linear differential equations. Bifurcation diagrams have been obtained for the physical values of parameter space. The various regions of stability and instability of different patterns resulting in rolls, squares and hexagons have been identified. The phenomenon of surface adsorption makes rolls stable for a certain range of values of magnetic permeability of magnetic fluid which are otherwise unstable in the absence of surface adsorption." @default.
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- W2000467723 date "1996-07-01" @default.
- W2000467723 modified "2023-09-26" @default.
- W2000467723 title "Pattern selection in magnetic fluids with surface adsorption" @default.
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- W2000467723 doi "https://doi.org/10.1016/0020-7225(96)00007-9" @default.
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