Averaging Technique for Random Magnetization Dynamics Driven by a Jump Noise Process

An averaging technique is applied to random magnetization dynamics driven by a jump-noise process. This results in the reduction of this dynamics to stochastic magnetic energy dynamics on graphs. The latter eventually leads to a continuous master equation whose validity is not based on or limited by the Kramers-Brown approximation. An eigenvalue technique for solving this master equation is presented and illustrated by numerical examples.