Nonlinear gyrokinetic equations for tokamak microturbulence

Journal Article · Thu Sep 01 04:00:00 EDT 1988 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866544· OSTI ID:6851930

Hahm, T S

A nonlinear electrostatic gyrokinetic Vlasov equation as well as a Poisson equation have been derived in a form suitable for particle simulation studies of tokamak microturbulence and associated anomalous transport. This work differs from the existing nonlinear gyrokinetic theories in toroidal geometry, since the present equations conserve energy while retaining the crucial linear and nonlinear polarization physics. In the derivation, the action-variational Lie perturbation method is utilized in order to preserve the Hamiltonian structure of the original Vlasov--Poisson system. Emphasis is placed on the dominant physics of the collective fluctuations in toroidal geometry, rather than on details of particle orbits.

• Research Organization: Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543
• OSTI ID: 6851930
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:9; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
BOLTZMANN-VLASOV EQUATION
CLOSED PLASMA DEVICES
DIFFERENTIAL EQUATIONS
ELECTROSTATICS
EQUATIONS
FLUCTUATIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLES
PERTURBATION THEORY
PLASMA
QUANTUM OPERATORS
SIMULATION
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TURBULENCE
VARIATIONS