A phenomenological model of nucleation-controlled structure evolution in dilute magnetorheological fluid is suggested. We find that the critical size of column nuclei is related to the magnetic field H, the increase of permeability {δ}{μ} of the nuclei, and to the nucleus surface tension {σ}, by the relation Dc{~}16{π}{σ}/(H²-Hc²){δ}{μ}. The growth rate of columnar structure, and the field and volume fraction dependences of the separation between the columns are calculated, and are found to be given, respectively, by d{~}t2/7, d{~}H3/14, and d{~}φ1/7. These results fit the experimental data in ferrofluid emulsion systems very well. {} 1996 The American Physical Society.
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