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- W2988630348 abstract "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 usefullness of the method is to be determined in actual applications." @default.
- W2988630348 created "2019-11-22" @default.
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- W2988630348 date "2019-12-06" @default.
- W2988630348 modified "2023-10-11" @default.
- W2988630348 title "Generalized curvature modified plasma dispersion functions and Dupree renormalization of toroidal ITG" @default.
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- W2988630348 doi "https://doi.org/10.1088/1361-6587/ab56a7" @default.
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