Damping ans moment of inertia effects in 1st principles calculations

Atomistic Spin Dynamic Method with both Damping and Moment of Inertia Effects Included from First Principles.
Satadeep Bhattacharjee, Lars Nordström, and Jonas Fransson
Phys. Rev. Lett. 108, 057204 (2012)

The three contributions in the generalized LLG equation, the bare precession arising from the effective magnetic field, and the superimposed effects from the Gilbert damping and the moment of inertia.