The Landau-Lifshitz-Gilbert damping coefficient employed in the analysis of spin wave ferromagnetic resonance is related to the electrical conductivity of the sample. The changing magnetization (with time) radiates electromagnetic fields. The electromagnetic energy is then absorbed by the sample and the resulting heating effect describes magnetic dissipative damping. The ferromagnetic resonance relaxation rate theoretically depends on the geometry (shape and size) of the sample as well as temperature in agreement with experiment.
@article{arxiv.cond-mat/0202181,
title = {Radiation Induced Landau-Lifshitz-Gilbert Damping in Ferromagnets},
author = {S. Sivasubramanian and A. Widom and Y. N. Srivastava},
journal= {arXiv preprint arXiv:cond-mat/0202181},
year = {2007}
}