A macroscopic theory for the description of the structure formation in a sy
stem of magnetic dipoles under the action of a high-frequency rotating held
is presented. Continuum equations for the effective magnetic field strengt
h describing particle interactions are derived. It is shown that, contrary
to the case of a constant magnetic field, where the demagnetizing held aris
ing from a concentration fluctuation stabilizes the system with respect to
the phase separation, the same concentration fluctuation will be amplified
in the case of a rotating magnetic field, lending to the formation of a lay
ered structure. The extensions of the model necessary for the description o
f the formation of the periodic structures in the rotating field are consid
ered and the relevance of the present model for the explanation of phase se
paration in shear flows of magnetorheological suspensions is indicated. (C)
1999 Elsevier Science B.V. All rights reserved.