Md. Tracy et al., EIGENVALUE SOLUTION FOR THE ION-COLLISIONAL EFFECTS ON ION-ACOUSTIC AND ENTROPY WAVES, Physics of fluids. B, Plasma physics, 5(5), 1993, pp. 1430-1439
The linearized ion Fokker-Planck equation is solved as an eigenvalue p
roblem under the condition of collisionless electrons in the quasineut
ral limit (phi = 0) for ionization-temperature ratios, ZT(e)/T(i) = 2,
4, and 8 for entropy waves and ionization-temperature ratios, ZT(e)/T
(i) = 4, 8, 16, 32, 48, 64, and 80 for ion-acoustic waves. The perturb
ed ion distribution function for the ion-acoustic and entropy waves is
formed from a Legendre polynomial expansion of eigenvectors and can b
e used to calculate collisionally dependent macroscopic quantities in
the plasma such as gamma (GAMMA = C(p)/C(upsilon)), the ratio of speci
fic heats, and the ion thermal conductivity (kappa(i)).