Abstract
Dipolar fluids exhibit phase behavior as a function of the dimensionless magnetic energy N B («magnetic Bond number») and concentration. I propose a phase diagram for such fluids, in an infinite-aspectratio cell, for large Bond numbers. For concentrations O<<N B -1/2 , a two-dimensional lattice of magnetic bubbles should appear, while for higher concentrations, a striped phase has a lower energy. The aspect ratio of the stripes, while asymptotically constant at high concentrations or Bond numbers, shows significant variation near the transition. I expect these results to be relevant to pattern formation in magnetorheological fluids, and possibly to ferrofluids as well
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