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Article Dans Une Revue Plasma Physics and Controlled Fusion Année : 2020

Generalized curvature modified plasma dispersion functions and Dupree renormalization of toroidal ITG

Ö Gültekin
  • Fonction : Auteur
Özgür D. Gürcan

Résumé

A new generalization of curvature modified plasma dispersion functions is introduced in order to express Dupree renormalized dispersion relations used in quasi-linear theory. For instance the Dupree renormalized dispersion relation for gyrokinetic, toroidal ion temperature gradient driven (ITG) modes, where the Dupree's diffusion coefficient is assumed to be a low order polynomial of the velocity, can be written entirely using generalized curvature modified plasma dispersion functions: Knm's. Using those, Dupree's formulation of renormalized quasi-linear theory is revisited for the toroidal ITG mode. The Dupree diffusion coefficient has been obtained as a function of velocity using an iteration scheme, first by assuming that the diffusion coefficient is constant at each v (i.e. applicable for slow dependence), and then substituting the resulting v dependence in the form of complex polynomial coefficients into the Knm's for verification. The algorithm generally converges rapidly after only a few iterations. Since the quasi-linear calculation relies on an assumed form for the wave-number spectrum, especially around its peak, practical usefulness of the method is to be determined in actual applications. A parameter scan of ηi shows that the form of the diffusion coefficient is better represented by the polynomial form as ηi is increased.
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Dates et versions

hal-02415121 , version 1 (30-11-2020)

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Ö Gültekin, Özgür D. Gürcan. Generalized curvature modified plasma dispersion functions and Dupree renormalization of toroidal ITG. Plasma Physics and Controlled Fusion, 2020, 62 (2), pp.025018. ⟨10.1088/1361-6587/ab56a7⟩. ⟨hal-02415121⟩
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