Stochasticity, superadiabaticity, and the theory of adiabatic invariants and guiding center motion

Technical Report · Wed Jul 01 04:00:00 EDT 1981

DOI:https://doi.org/10.2172/6181231· OSTI ID:6181231

Dubin, D H.E.; Krommes, J A

The theory of adiabatic invariants is discussed within the modern framework of symplectic Hamiltonian dynamics. The distinctions between exact, adiabatic, and superadiabatic invariants are clarified. The intimate connection between adiabatic (as opposed to exact) invariance and resonant interactions between motions on disparate time scales is elucidated. For the important case of charged particle motion in a strong magnetic field, resonances between gyration, bounce motion, and an external sinusoidal perturbation are described explicitly by introducing a time-dependent symplectic formulation of the guiding center motion. Destruction of invariance is discussed for quite general situations of physical interest, including the case of a trapped particle in a tokamak.

• Research Organization: Princeton Univ., NJ (USA). Plasma Physics Lab.
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 6181231
• Report Number(s): PPPL-1807; ON: DE81028794
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
ADIABATIC INVARIANCE
CHARGED-PARTICLE TRANSPORT
CLOSED PLASMA DEVICES
GUIDING-CENTER APPROXIMATION
HAMILTONIANS
INSTABILITY
MAGNETIC FIELD CONFIGURATIONS
MATHEMATICAL OPERATORS
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
QUANTUM OPERATORS
RADIATION TRANSPORT
STOCHASTIC PROCESSES
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRAPPED-PARTICLE INSTABILITY