Scaling laws in magneto-optical properties of aggregated ferrofluids - art. no. 031401

Since statistically isotropic fractal aggregates of particles are a particu lar case of self-organized critical systems, we describe formally field-ind uced behaviors of aggregated ferrofluids as responses of regular at-equilib rium critical systems at the critical point to the small field conjugated t o its order parameter, This leads us to expect some general scaling laws, w hich are checked numerically on two examples: the magnetic susceptibility a nd the magneto-optical linear dichroism of two-dimensional aggregated ferro fluids. This is performed by numerical simulations of such an aggregating s ystem under weak magnetic field applied in the plane of the aggregates.