1 Instituto de Alta Investigación, CEDENNA, Universidad de Tarapacá, Arica, Chile.
2 School of Physical Sciences and Nanotechnology,Yachay Tech University, Urcuquí, Ecuador.

We report theoretical and numerical results on scaling laws for systems with multiple time scales in the context of kinetic dynamics of domain growth [1]. The theoretical method has been tested by Monte Carlo simulations in classical magnetic systems. In particular, we show that in the case of a planar magnetic Heisenberg model with long-range interactions the characteristic length of the domain growth behaves according to a Lisfshitz-Allen-Cahn law with logarithmic corrections [2]. Finally, scaling laws for Skyrmions will be presented.

References

1. A. J. Bray, Adv. Phys. 43, 357 (1994)
2. D. Laroze, P. Díaz, and R. L. Stamps, Phys. Rev. B 95, 104438 (2017).