Anomalous energy exchange in the gBL and quasilinear theories
The rate of turbulence-induced energy exchange {dot W}{sub o} between species is computed in the framework of the quasilinear and gBL transport theories, and the relationship between these two theories, and the relationship between these two similar theories is thereby elucidated. For both theories, general formal expressions for {dot W}{sub o} are developed, and then applied to the trapped electron mode for illustration. The general expressions for {dot W}{sub o} in the two theories are formally closely related, but can yield predictions of very different magnitude in concrete applications. The fact that quasilinear theory is not valid for saturated steady-state turbulence gives rise to certain peculiarities in its predictions for this normal experimental situation, such as permitting energy to flow from the cooler to the hotter species, even in the limit of thermal equilibrium, where real-space gradients vanish. The gBL theory may be viewed as a modification of quasilinear theory to be valid for steady-state turbulence, keeping extra terms due to the self-consistent back reaction of particles on the fluctuations, which are just such as to eliminate these peculiarities.
- Research Organization:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC02-76CH03073
- OSTI ID:
- 5807284
- Report Number(s):
- PPPL-2824; ON: DE92008504
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ENERGY TRANSFER
TRANSPORT THEORY
PLASMA
BOLTZMANN-VLASOV EQUATION
HAMILTONIANS
MAXWELL EQUATIONS
QUASILINEAR PROBLEMS
THERMAL EQUILIBRIUM
TRAPPED ELECTRONS
TURBULENCE
DIFFERENTIAL EQUATIONS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
EQUILIBRIUM
FERMIONS
LEPTONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
700330* - Plasma Kinetics
Transport
& Impurities- (1992-)