A Statistical Theory of Plasma Turbulence
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概要
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A turbulence theory of the longitudinal waves in electron plasma is developed from the statistical point of view. The fluid dynamics of a one-dimensional compressible nonviscous plasma is represented in terms of classical field theory. The entropy of turbulence measuring the degree of turbulent randomness is introduced and a functional canonical phase distribution is derived as the phase distribution maximizing this entropy of turbulence. By using this phase distribution a turbulent energy spectral density of the electric field is approximately calculated. As a result, the modulus of the canonical phase distribution indicating the degree of turbulence is simply expressed in terms of the average number density, the temperature, the Debye wave-number and the turbulent energy density per unit volume. The characteristics of this spectrum are discussed in detail.
- 理論物理学刊行会の論文
- 1967-09-25
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関連論文
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