A new lattice Boltzmann approach to the fractal structure in magnetic fluids

We present the result of a lattice Boltzmann simulation of the two-dimensional fractal structure in magnetic fluids in an alternating current magnetic field using a new model that we have developed. This result belongs to the class of self-affine fractal and we measure its fractal dimension. The lattice Boltzmann procedure is convenient to study the mechanical properties of complex fluids. Our simple new model is introduced by the appropriate extension of the model for magnetohydrodynamics and can deal with the rotation of the magnetic moment efficiently. This scheme is suitable for simulating various behaviors of magnetic fluids under the influence of the internal angular momentum.