# The dynamics of a levitated cylindrical permanent magnet above a superconductor.

Revista Matemática Complutense (2003)

- Volume: 16, Issue: 2, page 495-517
- ISSN: 1139-1138

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topSchreiner, Michael. "The dynamics of a levitated cylindrical permanent magnet above a superconductor.." Revista Matemática Complutense 16.2 (2003): 495-517. <http://eudml.org/doc/44511>.

@article{Schreiner2003,

abstract = {When a permanent magnet is released above a superconductor, it is levitated. This is due to the Meissner-effect, i.e. the repulsion of external magnetic fields within the superconductor. In experiments, an interesting behavior of the levitated magnet can be observed: it might start to oscillate with increasing amplitude and some magnets even reach a continuous rotation. In this paper we develop a mathematical model for this effect and identify by analytical methods as well with finite element simulations two reasons for the described behavior of the levitated magnet. It is shown, that the oscillations of the magnet are due to inhomogeneities of the magnetization within the magnet, whereas the continuous rotations are due to temperature gradients of the surrounding air.},

author = {Schreiner, Michael},

journal = {Revista Matemática Complutense},

keywords = {Imanes permanentes; Levitación magnética; Superconductores; Efecto Meissner; Modelos matemáticos; Ecuaciones parabólicas; Ecuación del calor},

language = {eng},

number = {2},

pages = {495-517},

title = {The dynamics of a levitated cylindrical permanent magnet above a superconductor.},

url = {http://eudml.org/doc/44511},

volume = {16},

year = {2003},

}

TY - JOUR

AU - Schreiner, Michael

TI - The dynamics of a levitated cylindrical permanent magnet above a superconductor.

JO - Revista Matemática Complutense

PY - 2003

VL - 16

IS - 2

SP - 495

EP - 517

AB - When a permanent magnet is released above a superconductor, it is levitated. This is due to the Meissner-effect, i.e. the repulsion of external magnetic fields within the superconductor. In experiments, an interesting behavior of the levitated magnet can be observed: it might start to oscillate with increasing amplitude and some magnets even reach a continuous rotation. In this paper we develop a mathematical model for this effect and identify by analytical methods as well with finite element simulations two reasons for the described behavior of the levitated magnet. It is shown, that the oscillations of the magnet are due to inhomogeneities of the magnetization within the magnet, whereas the continuous rotations are due to temperature gradients of the surrounding air.

LA - eng

KW - Imanes permanentes; Levitación magnética; Superconductores; Efecto Meissner; Modelos matemáticos; Ecuaciones parabólicas; Ecuación del calor

UR - http://eudml.org/doc/44511

ER -

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