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Analytic solutions of the time-dependent quasilinear diffusion equation with source and loss terms

Technical Report:

Abstract

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.
Authors:
Hassan, M H.A.; [1]  Hamza, E A [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Sultan Qaboos Univ., Muscat (Oman). Dept. of Mathematics and Computing
Publication Date:
Oct 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/34
Reference Number:
SCA: 700330; PA: AIX-23:015714; SN: 92000647273
Resource Relation:
Other Information: PBD: Oct 1991
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONLESS PLASMA; ICR HEATING; DISTRIBUTION FUNCTIONS; ANALYTICAL SOLUTION; DIFFUSION; QUASILINEAR PROBLEMS; 700330; PLASMA KINETICS, TRANSPORT, AND IMPURITIES
OSTI ID:
10113423
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615435; TRN: XA9130239015714
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
16 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Hassan, M H.A., and Hamza, E A. Analytic solutions of the time-dependent quasilinear diffusion equation with source and loss terms. IAEA: N. p., 1991. Web.
Hassan, M H.A., & Hamza, E A. Analytic solutions of the time-dependent quasilinear diffusion equation with source and loss terms. IAEA.
Hassan, M H.A., and Hamza, E A. 1991. "Analytic solutions of the time-dependent quasilinear diffusion equation with source and loss terms." IAEA.
@misc{etde_10113423,
title = {Analytic solutions of the time-dependent quasilinear diffusion equation with source and loss terms}
author = {Hassan, M H.A., and Hamza, E A}
abstractNote = {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.}
place = {IAEA}
year = {1991}
month = {Oct}
}