dorsal/arxiv
View SchemaDynamics of a Single Peak of the Rosensweig Instability in a Magnetic Fluid
| Authors | Adrian Lange, Heinz Langer, Andreas Engel |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9910003 |
| URL | https://arxiv.org/abs/patt-sol/9910003 |
| DOI | 10.1016/S0167-2789(00)00018-X |
| Journal | Physica D, 140 (2000) 294 |
Abstract
To describe the dynamics of a single peak of the Rosensweig instability a model is proposed which approximates the peak by a half-ellipsoid atop a layer of magnetic fluid. The resulting nonlinear equation for the height of the peak leads to the correct subcritical character of the bifurcation for static induction. For a time-dependent induction the effects of inertia and damping are incorporated. The results of the model show qualitative agreement with the experimental findings, as in the appearance of period doubling, trebling, and higher multiples of the driving period. Furthermore a quantitative agreement is also found for the parameter ranges of frequency and induction in which these phenomena occur.
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"abstract": "To describe the dynamics of a single peak of the Rosensweig instability a\nmodel is proposed which approximates the peak by a half-ellipsoid atop a layer\nof magnetic fluid. The resulting nonlinear equation for the height of the peak\nleads to the correct subcritical character of the bifurcation for static\ninduction. For a time-dependent induction the effects of inertia and damping\nare incorporated. The results of the model show qualitative agreement with the\nexperimental findings, as in the appearance of period doubling, trebling, and\nhigher multiples of the driving period. Furthermore a quantitative agreement is\nalso found for the parameter ranges of frequency and induction in which these\nphenomena occur.",
"arxiv_id": "patt-sol/9910003",
"authors": [
"Adrian Lange",
"Heinz Langer",
"Andreas Engel"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0167-2789(00)00018-X",
"journal_ref": "Physica D, 140 (2000) 294",
"title": "Dynamics of a Single Peak of the Rosensweig Instability in a Magnetic Fluid",
"url": "https://arxiv.org/abs/patt-sol/9910003"
},
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