Trapped particle instability and flute instability in tandem mirror; scale separation closure in Alfven wave turbulence
We have constructed a quadratic dispersion relation, in which various MHD and kinetic effects like ion diamagnetism, electron diamagnetism, electron-electron electron-ion collisions, ion Landau-damping, E x B drift and energetic particles are included and treated in a systematic way. The numerical study in which we use the formalism to investigate the two most likely instabilities in tandem mirror machines produced many quantitative and qualitative results about the two modes. We have proposed a physically motivated, non-perturbative closure scheme to deal with some problems in plasma or fluid turbulence. After discussing a few simple analytically tractable applications, we have applied our formalism to a model problem: the shear-Alfven turbulence. The problem is readily solved numerically to obtain the turbulent spectrum with the following features: the calculated spectrum has explicit frequency shift from the linear theory as well as explicit band-broadening in k, ..omega.. space; the frequency integrated spectrum obeys a power law in the intermediate k range, i.e., I/sub k/ /approximately/ K/sup -..cap alpha../, where ..cap alpha.. approaches the value 2 in the case we studied; and the form of the power law is hardly influenced by changing low-k, high-k damping effects, or by changing the strength of the turbulence. It is very encouraging that this closure scheme is capable of producing essential features associated with a turbulence spectrum. 66 refs., 38 figs.
- Research Organization:
- Texas Univ., Austin (USA). Inst. for Fusion Studies
- DOE Contract Number:
- FG05-80ET53088
- OSTI ID:
- 6837948
- Report Number(s):
- DOE/ET/53088-334; IFSR-334; ON: DE88015349
- Resource Relation:
- Other Information: Thesis (Ph.D.). Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ALFVEN WAVES
TURBULENCE
TANDEM MIRRORS
FLUTE INSTABILITY
TRAPPED-PARTICLE INSTABILITY
DISPERSION RELATIONS
FLOW MODELS
FOKKER-PLANCK EQUATION
MAGNETIC FIELD CONFIGURATIONS
NUMERICAL SOLUTION
TURBULENT FLOW
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
HYDROMAGNETIC WAVES
INSTABILITY
MAGNETIC MIRRORS
MATHEMATICAL MODELS
OPEN PLASMA DEVICES
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
THERMONUCLEAR DEVICES
700107* - Fusion Energy- Plasma Research- Instabilities