dorsal/arxiv
View SchemaNonlinear Dynamics of a Single Ferrofluid-Peak in an Oscillating Magnetic Field
| Authors | Thomas Mahr, Ingo Rehberg |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9703003 |
| URL | https://arxiv.org/abs/patt-sol/9703003 |
| DOI | 10.1016/S0167-2789(97)80019-X |
Abstract
If a magnetic field normal to the surface of a magnetic fluid is increased beyond a critical value a spontaneous deformation of the surface arises (normal field instability). The instability is subcritical and leads to peaks of a characteristic shape. We investigate the neighborhood of this instability experimentally under the influence of a temporal modulation of the magnetic field. We use a small vessel, where only one peak arises. The modulation can either be stabilizing or destabilizing, depending on the frequency and amplitude. We observe a cascade of odd-numbered response-periods up to period 11, and also a domain of even-numbered periods. We propose a minimal model involving a cutoff-condition which captures the essence of the experimental observations. PACS: 47.20.-k, 47.20.Ky, 75.50.Mm Keywords: magnetic fluid; nonlinear oscillator; subharmonic response; surface instability;
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"abstract": "If a magnetic field normal to the surface of a magnetic fluid is increased\nbeyond a critical value a spontaneous deformation of the surface arises (normal\nfield instability). The instability is subcritical and leads to peaks of a\ncharacteristic shape. We investigate the neighborhood of this instability\nexperimentally under the influence of a temporal modulation of the magnetic\nfield. We use a small vessel, where only one peak arises. The modulation can\neither be stabilizing or destabilizing, depending on the frequency and\namplitude. We observe a cascade of odd-numbered response-periods up to period\n11, and also a domain of even-numbered periods. We propose a minimal model\ninvolving a cutoff-condition which captures the essence of the experimental\nobservations.\n PACS: 47.20.-k, 47.20.Ky, 75.50.Mm\n Keywords: magnetic fluid; nonlinear oscillator; subharmonic response; surface\ninstability;",
"arxiv_id": "patt-sol/9703003",
"authors": [
"Thomas Mahr",
"Ingo Rehberg"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0167-2789(97)80019-X",
"title": "Nonlinear Dynamics of a Single Ferrofluid-Peak in an Oscillating Magnetic Field",
"url": "https://arxiv.org/abs/patt-sol/9703003"
},
"schema_id": "dorsal/arxiv",
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