Abstract
An analytic expression is derived for the longitudinal dielectric constant ɛ l of an isotropic collisionless high-temperature plasma which is valid for the entire range of phase velocities in which there is no Landau damping or it is exponentially small. This expression contains the formulas for ɛ l given in the papers of Silin and Mikhailovskii as limiting cases. Numerical calculations for the temperatures 10 mc2 and 100 mc2 are illustrated graphically.
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V. P. Silin, Zh. Eksp. Teor. Fiz.,38, 1577 (1960).
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M. Abramowitz and I. M. Stegun (editors), Handbook of Mathematical Functions, U.S. National Bureau of Standards, Washington (1964); paperback edition published by Dover Publ., N.Y. (1965).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 57–60, September, 1982.
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Kuz'menkov, L.S., Sitnov, M.I. Dielectric constant of an ultrarelativistic plasma. Soviet Physics Journal 25, 817–820 (1982). https://doi.org/10.1007/BF00892398
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DOI: https://doi.org/10.1007/BF00892398