Gyrokinetic Fokker-Planck collision operator

The gyrokinetic linearized exact Fokker-Planck collision operator is obtained in a form suitable for plasma gyrokinetic equations, for arbitrary mass ratio. The linearized Fokker-Planck operator includes both the test-particle and field-particle contributions, and automatically conserves particles,...

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Bibliographic Details
Published in:Physical review letters 2011-05, Vol.106 (19), p.195002-195002
Main Authors: Li, B, Ernst, D R
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COLLISIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENTROPY
EQUATIONS
FOKKER-PLANCK EQUATION
MASS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
PLASMA
SIMULATION
TEST PARTICLES
THERMODYNAMIC PROPERTIES
TWO-DIMENSIONAL CALCULATIONS
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Summary:The gyrokinetic linearized exact Fokker-Planck collision operator is obtained in a form suitable for plasma gyrokinetic equations, for arbitrary mass ratio. The linearized Fokker-Planck operator includes both the test-particle and field-particle contributions, and automatically conserves particles, momentum, and energy, while ensuring non-negative entropy production. Finite gyroradius effects in both field-particle and test-particle terms are evaluated. When implemented in gyrokinetic simulations, these effects can be precomputed. The field-particle operator at each time step requires the evaluation of a single two-dimensional integral, and is not only more accurate, but appears to be less expensive to evaluate than conserving model operators.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.106.195002