Effects of Landau-Lifshitz-Gilbert damping on domain growth

TL;DR

This study investigates how Landau-Lifshitz-Gilbert damping influences domain growth in magnetic materials, finding that damping affects small-scale structures but not large-scale domain growth laws.

Contribution

It demonstrates that damping has minimal impact on large-scale domain growth but significantly influences small-scale domain structures, clarifying the role of energy dissipation.

Findings

Damping does not significantly alter large-scale domain growth laws.

Small-scale domain structures are affected by damping.

Energy dissipation due to damping influences small-scale structures.

Abstract

Domain patterns are simulated by the Landau-Lifshitz-Gilbert (LLG) equation with an easy-axis anisotropy. If the Gilbert damping is removed from the LLG equation, it merely describes the precession of magnetization with a ferromagnetic interaction. However, even without the damping, domains that look similar to those of scalar fields are formed, and they grow with time. It is demonstrated that the damping has no significant effects on domain growth laws and large-scale domain structure. In contrast, small-scale domain structure is affected by the damping. The difference in small-scale structure arises from energy dissipation due to the damping.