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  • Two-dimensional time-dependent solution of Stix's equation for the distribution function of minority ions during ion cyclotron resonant heating

Abstract

The flux-surface-averaged Fokker-Planck equation for the distribution of minority ions during Ion Cyclotron Resonant Heating (ICRH) introduced by Stix in a classic paper is solved keeping two dimensions in velocity space (speed and pitch-angle) plus time. An approximation to the distribution function f is developed by means of an expansion in Legendre polynomials of the pitch-angle, and its convergence is studied both by successively increasing the number of retained terms and by comparison with the solution obtained solving the equation numerically on a two-dimensional grid. A steady-state is achieved typically within three Spitzer slowing-down times. A good approximation to the pitch-angle average of f is obtained already with two terms kept in the expansion, for a wide range of heating parameters including the ones typical of the Joint European Torus (JET).

Additional information

Authors: DALLA S, South Bank University, School of Electrical, Electronic and Information Engineering, Centre for Computer and Mathematical Modelling, London (GB);LJEPOJEVIC N N, South Bank University, School of Electrical, Electronic and Information Engineering, Centre for Computer and Mathematical Modelling, London (GB)
Bibliographic Reference: Report: JET-P(96)56 EN (1996) 18pp.
Availability: Available from the Publications Officer, JET Joint Undertaking, Abingdon, Oxon, OX14 3EA (GB)
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