Analytic solutions of the time-dependent quasilinear diffusion equation with source and loss terms
Hassan, M H.A. [International Centre for Theoretical Physics, Trieste (Italy)]; Hamza, E A [Sultan Qaboos Univ., Muscat (Oman). Dept. of Mathematics and Computing]
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONLESS PLASMA; ICR HEATING; DISTRIBUTION FUNCTIONS; ANALYTICAL SOLUTION; DIFFUSION; QUASILINEAR PROBLEMS; 700330; PLASMA KINETICS, TRANSPORT, AND IMPURITIES
A simplified one-dimensional quasilinear diffusion equation describing the time evolution of collisionless ions in the presence of ion cyclotron resonance heating (ICRH) and sources and losses is solved analytically for all harmonics of the ion cyclotron frequency. Simple time-dependent distribution functions which are initially Maxwellian and vanish at high energies are obtained and calculated numerically for the first four harmonics of resonance heating. It is found that the strongest ion-tail of the resulting anisotropic distribution function is driven by heating at the second harmonic followed by heating at the fundamental frequency. (author). 5 refs, 5 figs.
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
OSTI; NTIS (US Sales Only); INIS
IAEA
1991-10-01
English
Technical Report
Other Information: PBD: Oct 1991
Medium: X; Size: 16 p.
ON: DE92615435
IC-91/34
Other: ON: DE92615435; TRN: XA9130239015714
INIS; SCA: 700330; PA: AIX-23:015714; SN: 92000647273
2008-02-12
10113423