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Derivation of an equation for three-wave interactions based on the Klimontovich–Dupree equation

机译:基于Klimontovich–Dupree方程的三波相互作用方程的推导

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摘要

A collision integral for three-wave interactions in a collisionless plasma is derived from the full plasma description by means of the Klimontovich–Dupree and Maxwell equations. This collision integral differs from its traditional counterpart (calculated within the framework of Vlasov theory) by an additional functional factor. This means that the changes in the wave spectral density, which are induced by three-wave interactions, occur with a rate other than that calculated in Vlasov theory.
机译:通过Klimontovich–Dupree和Maxwell方程,从完整的等离子体描述中得出了无碰撞等离子体中三波相互作用的碰撞积分。该碰撞积分与传统碰撞积分(在弗拉索夫理论的框架内计算)相差一个附加功能因子。这意味着由三波相互作用引起的波谱密度变化发生的速率不同于弗拉索夫理论中计算的速率。

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