Collisional transport in magnetized plasmas

By P. Helander, D. Sigmar. 2002

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Astrophysical Gyrokinetics: Basic Equations and Linear Theory (2005, background): “…equilibria of each interacting species; the standard form of this collisional energy exchange (see, e.g., Helander & Sigmar 2002) is given byZ d 3r V Z d 3v msv 2 2 Csr( fs; fr) ¼ n0s srE (T0r T0s): ðB5Þ Expressions for the interspecies collision rate srE can be found in Helander & Sigmar (2002).”
ASTROPHYSICAL GYROKINETICS: KINETIC AND FLUID TURBULENT CASCADES IN MAGNETIZED WEAKLY COLLISIONAL PLASMAS (2007, background): “Electron–Ion Collision Operator This operator can be expanded inme/mi and to the lowest order is (see, e.g., Helander & Sigmar 2002) Cei[h] = νeiD (v) { 1 2 [ ∂ ∂ξ ( 1− ξ2 ) ∂he ∂ξ + 1 1− ξ2 ∂2he ∂ϑ2 ] + 2v ·ui v2the F0e } , νeiD (v) = νei (vthe v )3 .”