Phase transitions in a ferrofluid at magnetic field induced microphase separation

Details Phase transitions in a ferrofluid at magnetic field induced microphase separation Phase transitions in a ferrofluid at magnetic field induced microphase separation

2001-03-21

arxiv.org/abs/cond-mat/0103429v1

Phys. Rev. E, 64, 041506 (2001)

Physics

Condensed Matter

Soft Condensed Matter

12 pages, RevTex, to appear in PRE

Scientific paper

10.1103/PhysRevE.64.041506

In the presence of a magnetic field applied perpendicular to a thin sample layer, a suspension of magnetic colloidal particles (ferrofluid) can form spatially modulated phases with a characteristic length determined by the competition between dipolar forces and short-range forces opposing density variations. We introduce models for thin-film ferrofluids in which magnetization and particle density are viewed as independent variables and in which the non-magnetic properties of the colloidal particles are described either by a lattice-gas entropy or by the Carnahan-Starling free energy. Our description is particularly well suited to the low-particle density regions studied in many experiments. Within mean-field theory, we find isotropic, hexagonal and stripe phases, separated in general by first-order phase boundaries.

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