Scaling laws of dipolar magnetic systems at finite temperature

We report theoretical and numerical results on scaling laws for systems with multiple time scales in the context of kinetic dynamics of domain growth. The theoretical method has been tested by Monte Carlo simulations of a planar magnetic Heisenberg model with long-range interactions. We show that the characteristic length of the domain growth behaves according to a Lisfshitz-Allen-Cahn law with logarithmic corrections, such that the exponent of the correction depends on the temperature.