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Title: The Hamiltonian Mechanics of Stochastic Acceleration

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.
Authors:
Publication Date:
OSTI Identifier:
1087712
Report Number(s):
PPPL-4932
DOE Contract Number:
DE-ACO2-09CH11466
Resource Type:
Technical Report
Publisher:
Physical Review Letters (July, 2013)
Research Org:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY Differential, Distribution Functions, Hamiltonian