TY - RPRT
TI - Analytic solutions of the time-dependent quasilinear diffusion equation with source and loss terms
AB - 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.
AU - Hassan, M H.A. [International Centre for Theoretical Physics, Trieste (Italy)]
AU - Hamza, E A [Sultan Qaboos Univ., Muscat (Oman). Dept. of Mathematics and Computing]
KW - 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
KW - COLLISIONLESS PLASMA
KW - ICR HEATING
KW - DISTRIBUTION FUNCTIONS
KW - ANALYTICAL SOLUTION
KW - DIFFUSION
KW - QUASILINEAR PROBLEMS
KW - 700330
KW - PLASMA KINETICS, TRANSPORT, AND IMPURITIES
DO -
UR -
PB -
CY - IAEA
PY - 1991
DA - 1991-10-01
LA - English
J2 -
C1 - International Centre for Theoretical Physics (ICTP), Trieste (Italy)
C2 -
ER -