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Virial Expansions for Low Dimensional Ferrofluids

Published online by Cambridge University Press:  25 February 2011

M. Widom
Affiliation:
Department of Physics, Carnegie-Mellon University, Pittsburgh, Pa. 15213
H. Zhang
Affiliation:
Department of Physics, Carnegie-Mellon University, Pittsburgh, Pa. 15213
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Abstract

Ferrofluids are colloidal suspensions of magnetic particles which we model as a dilute gas of dipolar hard spheres. At low particle density the osmotic pressure and magnetic susceptibility may be expanded in a virial series. We evaluate the second virial coefficients for fluids confined to a line, or to a plane, as well as ordinary three dimensional fluids in ellipsoidal containers. We focus our attention on anisotropy of the magnetic susceptibility and point out the role of particle chaining in determining the magnetic anisotropy of low dimensional ferrofluids.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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