Stochastic Acceleration in an Inhomogenous Time Random Force Field

This paper studies the asymptotic behavior of a particle with large initial velocity and subject to a force field which is randomly time dependent and inhomogenous in space. We analyze the diffusive limit ǫ → 0 of the position–velocity pair under the appropriate space-time rescaling: ( ǫY (s/ǫ), ǫẎ (s/ǫ) ) . Two alternative approaches are proposed. The… (More)