A Theory of the Turbulent Electric Field Fluctuations in Electron Plasmas. II

概要

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An investigation is made on the energy distribution, in a wave number space, of the macroscopic turbulent electric field fluctuations in electron plasmas. Oscillatory longitudinal electric fields are expressed by means of collective coordinates as a system of coupled oscillators with nonlinear mode couplings. The model under consideration is such an electron plasma in which finite amplitude plasma oscillations are strongly excited through a long wavelength region and are thus sustaining a quasi-stationary state. An attempt is made to determine the energy spectral distribution in the wave number space approximately, by checking on frequency-shift relations, but without looking into the mechanism of thermalization processes. It is found that the curve of the energy spectral distribution rises linearly with k up to a critical wave number. Beyond the critical wave number which depends on the intensity of the turbulent fluctuations, the curve rapidly falls off to zero as an inverse square of k.
理論物理学刊行会の論文
1963-07-25