Effect of initial states on the phase diagram of the structural pattern in magnetic fluid films under perpendicular magnetic field

When a magnetic fluid thin film is subjected to a magnetic field perpendicular to the plane of the film, a portion of magnetic particles is condensed out from the initially monodispersed magnetic fluid and forms magnetic columns. These columns evolve from a disordered column phase to a two-dimensional ordered structural pattern as the field strength reaches some critical value, H_h. The structural pattern formative process of the ordered structures that follows depends on the condition of the disordered column phase. In the letter, the effect of the initial disordered column phase, which can he altered by changing the initial field strength, H_i, on the formative process of the ordered structures is studied, and a phase diagram on the H-H_l plane is constructed. With an initial field strength that exceeds H_h, the structural pattern formative process goes through a plateau, a transition phase, and another plateau. On the other hand, if the initial field strength is less than H_h, the columns in the disordered column phase split and new columns emerge in the magnetic fluid film as the field strength increases. Finally, the structural pattern reaches a plateau. In both processes, the distance between columns in the structural patterns converges to that of a pseudostatic case.