论文信息 - Dynamics of pattern formation in magnetic fluids

Dynamics of pattern formation in magnetic fluids

Abstract A model for the formation of labyrinthine patterns by thin domains of magnetic fluids is described. The dynamics is derived variationally from an energy functional which reflects a competition between surface tension and long-range magnetic interactions. A detailed linear stability analysis for circular shapes reveals the mechanism of pattern formation and the characteristic mode of instability. Numerical study of the fully non-linear regime reveals branched patterns whose details are sensitively dependent on initial conditions, as in experiment. Connections with glassy systems and spin models are suggested.

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