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By A G. Sitenko

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Oscillations of the longitudinal field in a plasma are accompanied by oscillations in the charge density ( i k E k w = 4πρΚω); hence, the longitudinal waves are customarily designated plasma waves. Let us note that plasma oscillations are a collective effect, due to the Coulomb interaction between electrons. Transverse waves. The dispersion equation for transverse electromagnetic waves in a plasma reduces to the requirement ( , k) - = o. 35) ω - Ω + kc. 36) 5· Relativistic Plasma 47 The phase velocity of the transverse waves hence turns out to be 2 2 1 2 greater than the velocity of light (ω/k = cj[\ — ( ß / ^ ) ] / > c).

60) in power series in e , and let us retain the basic terms. L spectral distributions of the correlation functions for systems of noninteracting particles. 62) * Shafranov (5), K u b o (6), and Nakano (7) proposed such a method of determining the macroscopic coefficients of a substance. 6. , the imaginary part of the longitudinal dielectric permittivity is expressed directly in terms of the spectral distribution of the charged-particle density fluctuations without taking account of the Coulomb interaction.

13) Let us note that the mean value of the current equals zero; hence, the current fluctuations are determined directly from ( 3 . 1 3 ) . Utilizing ( 3 . 1 3 ) , the correlation function for the current fluctuations is obtained as n = Ao j dv W o W S(r - vt). 14) It is easy to verify that the correlation functions for the current and charge density fluctuations are connected by means of the relationship ï L ï ?. = - £ < P > ï <. 15) In conclusion, let us present expressions for the spectral distributions of the correlation functions ( 3 .

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