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- W4366782677 abstract "Starting from the equations of collisionless linear gyrokinetics for magnetised plasmas with an imposed inhomogeneous magnetic field, we present the first known analytical, closed-form solution for the resulting velocity-space integrals in the presence of resonances due to both parallel streaming and constant magnetic drifts. These integrals are written in terms of the well-known plasma dispersion function (Faddeeva & Terentev 1954; Fried & Conte 1961), rendering the subsequent expressions simpler to treat analytically and more efficient to compute numerically. We demonstrate that our results converge to the well-known ones in the straight-magnetic-field and two-dimensional limits, and show good agreement with the numerical solver by Gurcan (2014). By way of example, we calculate the exact dispersion relation for a simple electrostatic, ion-temperature-gradient-driven instability, and compare it with approximate kinetic and fluid models." @default.
- W4366782677 created "2023-04-25" @default.
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- W4366782677 date "2023-04-01" @default.
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- W4366782677 title "An analytical form of the dispersion function for local linear gyrokinetics in a curved magnetic field" @default.
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- W4366782677 doi "https://doi.org/10.1017/s0022377823000077" @default.
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