The Hamiltonian Mechanics of Stochastic Acceleration

[摘要] We show how to nd the physical Langevin equation describing the trajectories of particles un- dergoing collisionless stochastic acceleration. These stochastic di erential equations retain not only one-, but two-particle statistics, and inherit the Hamiltonian nature of the underlying microscopic equations. This opens the door to using stochastic variational integrators to perform simulations of stochastic interactions such as Fermi acceleration. We illustrate the theory by applying it to two example problems.

[发布日期] 2013-07-17

[学科分类] 原子、分子光学和等离子物理

[关键词] Differential;Distribution Functions;Hamiltonian