Weak turbulence theory for reactive instability
Weak turbulence theory for reactive instability
复制标题
反应不稳定性的弱湍流理论
DOI：
--
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
P. Yoon
中科院分区：
文献类型：
--
作者：
P. Yoon
本文将通常的弱湍流理论推广到包括反应不稳定性。为了简单起见，形式主义假设静电扰动在一维均匀非磁化等离子体中传播。弱湍流理论是指以Vlasov方程为基础，截断二阶（或三阶）非线性项，进行系综平均的微扰非线性理论。反应不稳定性是指等离子体不稳定性，其增长率不一定非常小。文献中发现的传统弱湍流理论仅适用于弱增长的等离子体不稳定性，其真实的频率ωk可以由色散关系的真实的部Re <$（k，ωk）=0确定，而增长率可以由朗道公式γk=−Im <$（k，ωk）[<$Re <$（k，ωk）/<$ωk]−1确定。这意味着假设，|γk|好吧另一方面，对于γk/ωk不一定很小的反应不稳定性，其真实的频率是不确定的。
In the present paper, the customary weak turbulence theory is generalized to include reactive instabilities. For the sake of simplicity, the formalism assumes electrostatic perturbation propagating in one-dimensional uniform unmagnetized plasmas. By weak turbulence theory it is meant as the perturbative nonlinear theory based upon Vlasov equation, truncated at the second (or up to third) order nonlinearity and ensemble averaged. By reactive instability it is meant as the plasma instability whose growth rate is not necessarily exceedingly small. The traditional weak turbulence theory found in the literature is applicable only to weakly growing plasma instabilities whose real frequency ωk can be determined from the real part of the dispersion relation, Re ϵ(k,ωk)=0, while the growth rate may be determined by the Landau formula, γk=−Im ϵ(k,ωk)[∂ Re ϵ(k,ωk)/∂ωk]−1. This implies the assumption that |γk|⪡ωk. On the other hand, for reactive instabilities for which γk/ωk is not necessarily small, the real frequen...