Formation of Plasma Structure by Cross-Field Particle Acceleration and Potential Formation

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I.The numerical analysis of the plasma structure formation was performed as follows :(1)The magnetohydrodynamic equations incorporating the transport equations and the anomalous diffusion due to the turbulent plasma wave are solved numerically on the basis of the three-dimensional modeling. The transport equations show the cross-field acceleration and heating of plasma electrons. The temporal evolution of the three-dimensional profiles of the cross-field electric field, the drift velocity of plasma electrons and the electron temperature and density was clarified in detail.(2)It was verified that the parallel and perpendicular electron transport generates a large and abrupt dip of the electron density and a strong peak of the electron temperature in the radial direction. At the same time the cross-field electric field is produced partially by the cross-field electron transport and partially by the perpendicular pressure gradient, that is, it is given by the generalized Ohm's law E_⊥ = B … More _O x v_<e⊥>/ c - (*_⊥p_e ) / en_e (p_e = n_ek_BT_e). Namely it was proved that the electron heating region like the electron hole is created by the cross-field transport of plasma electrons (J.Plasma Fusion Res.SERIES, Vol.6, pp.253-255 (2004)).(3)The large amplitude electrostatic waves generate the turbulent diffusion across the magnetic field. This anomalous diffusion of plasma electrons into the central region of the plasma competes with the cross-field electron transport. It was shown that the electron heating region like the electron hole vanishes finally via this turbulent diffusion. The obtained results agree with the experimental observation qualitatively and quantitatively.(4)It was found that this method of the numerical analysis of the electron transport in the electron beam-plasma system is available to the theoretical study of the formation of the transport barrier in a fusion plasma.II.It was verified theoretically and numerically that the relativistic electron beam with the energy lower than 1 GeV can be accelerated efficiently via the Compton scattering of the extraordinary wave in the magnetized plasma (J.Plasma Phys.Vol.70, Part3, pp.331-357 (2004))III.It was verified theoretically and numerically that the relativistic electron beam with the energy lower than 5 TeV can be accelerated efficiently via the Compton scattering of the lower-hybrid wave in the magnetized plasma (Phys.Plasmas Vol.12, pp.5634-5642 (2004) ; 2004 ICPP, Nice, P2-047 (2004)). Less