The generalized Balescu-Lenard collision operator: A unifying concept for tokamak transport

Technical Report · Sat Aug 01 04:00:00 EDT 1987

DOI:https://doi.org/10.2172/5757822· OSTI ID:5757822

Mynick, H E

The generalization of the Balescu-Lenard collision operator to its fully electromagnetic counterpart in Kaufman's action-angle formalism is derived and its properties investigated. The general form may be specialized to any particular geometry where the unperturbed particle motion is integrable, and thus includes cylindrical plasmas, inhomogeneous slabs with nonuniform magnetic fields, tokamaks, and the particularly simple geometry of the standard operator as special cases. The general form points to the commonality between axisymmetric, turbulent, and ripple transport, and implies properties (e.g., intrinsic ambipolarity) which should be shared by them, under appropriate conditions. Along with a turbulent ''anomalous diffusion coefficient'' calculated for tokamaks in previous work, an ''anomalous pinch'' term of closely related structure and scaling is also implied by the generalized operator. 20 refs. (LSP)

• Research Organization: Princeton Univ., NJ (USA). Plasma Physics Lab.
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 5757822
• Report Number(s): PPPL-2458; ON: DE88003471
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
ACTION INTEGRAL
CLOSED PLASMA DEVICES
COLLISIONS
CONFIGURATION
CYLINDRICAL CONFIGURATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUCTUATIONS
FOKKER-PLANCK EQUATION
HAMILTONIANS
INHOMOGENEOUS PLASMA
INTEGRALS
MAGNETIC FIELDS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
QUANTUM OPERATORS
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRANSPORT THEORY
TURBULENCE
VARIATIONS