The Hamiltonian Mechanics of Stochastic Acceleration

Burby, J. W.

关键词: Differential;    Distribution Functions;    Hamiltonian;   

DOI  :  10.2172/1087712
RP-ID  :  PPPL-4932
PID  :  OSTI ID: 1087712

学科分类：原子、分子光学和等离子物理

美国|英语

来源: SciTech Connect

【 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.