An analytical form of the dispersion function for local linear gyrokinetics in a curved magnetic field

نویسندگان

چکیده

Starting from the equations of collisionless linear gyrokinetics for magnetised plasmas with an imposed inhomogeneous magnetic field, we present first known analytical, closed-form solution resulting velocity-space integrals in presence resonances due to both parallel streaming and constant drifts. These are written terms well-known plasma dispersion function (Faddeeva & Terentev 1954; Fried Conte 1961), rendering subsequent expressions simpler treat analytically more efficient compute numerically. We demonstrate that our results converge ones straight-magnetic-field two-dimensional limits, show good agreement numerical solver by G\"urcan (2014). By way example, calculate exact relation a simple electrostatic, ion-temperature-gradient-driven instability, compare it approximate kinetic fluid models.

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ژورنال

عنوان ژورنال: Journal of Plasma Physics

سال: 2023

ISSN: ['1469-7807', '0022-3778']

DOI: https://doi.org/10.1017/s0022377823000077