The Hamiltonian Mechanics of Stochastic Acceleration
Authors: J. W. Burby, A.I. Zhmoginov and H. Qin
Abstract:
We show how to nd the physical Langevin equation describing the trajectories of particles undergoing collisionless stochastic acceleration. These stochastic differential 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.
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Submitted to: Physical Review Letters (APS) (July 2013)
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Download PPPL-4932 (pdf 527 KB 5 pp)
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