Cregg, P J and Bessais, Lotfi
(1999)
*A single integral expression for the magnetisation
of a textured superparamagnetic system.*
Journal of Magnetism and Magnetic Materials, 203.
pp. 265-267.
ISSN 03048853

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## Abstract

A superparamagnetic system consists of many single domain particles with relaxation times smaller than the time of measurement (t=100 s), with the result that thermal agitation leads to zero magnetisation in zero field,M(H=0)=0 for t>100 s. For particles in a fluid, an external field will result in a magnetisation given by the Langevin function as inparamagnetism. However, particles fixed into position in the presence of a field, obtain an orientational texture. We still find M(H=0)=0, but the magnetisation is not given by the Langevin function. The model of Chantrell et al. can yield an expression for M capable of including texture. This requires the calculation of the partition function of the system which is a double integral in the coordinate system used. Here we reduce this double integral to a single integral.

Item Type: | Article |
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Departments or Groups: | Materials Characterisation and Processing Group |

Divisions: | School of Engineering > Department of Engineering Technology |

Depositing User: | P.J. Cregg |

Date Deposited: | 12 May 2008 11:35 |

Last Modified: | 27 May 2022 13:00 |

URI: | http://repository.wit.ie/id/eprint/911 |

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