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Susceptibility of Nanoparticles Studied by Landau-Lifshitz-Gilbert and Snoek’s Equations

Snoek’s law is a well-known theory used to predict magnetic properties of bulk ferromagnetic material. Landau-Lifshitz-Gilber (LLG) equations are differential equations used to describe the precessional motion of magnetization in magnetic materials. In this paper, we focus on magnetic nanoparticles and study the relationship between LLG equations and Snoek’s law in seeking high permeability at high frequencies in magnetic materials. The susceptibility/permeability calculations of cobalt nanoparticles with different shapes are carried out analytically. Micromagnetic software package, Object Oriented MicroMagnetic Framework (OOMMF) software package, has been used to validate the results.