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Modified Kadomtsev spectrum from renormalized plasma turbulence theory

 

作者: Duk‐In Choi,   Wendell Horton,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1974)
卷期: Volume 17, issue 11  

页码: 2048-2060

 

ISSN:0031-9171

 

年代: 1974

 

DOI:10.1063/1.1694664

 

出版商: AIP

 

数据来源: AIP

 

摘要:

From the collisionless Vlasov‐Poisson equations the renormalization of plasma turbulence is derived by a selective summing of secular terms to all orders in perturbation theory. The resulting renormalized theory agrees with earlier renormalizations of quasilinear theory and the mode coupling equation exhibits the same symmetries known in weak turbulence theory. The present formulation differs from that of Rudakov and Tsytovich by containing a separation of the turbulentkscales and by the associated feature of retaining the form of induced wave scattering in the nonresonant mode coupling terms. The theory is applied to the problem of finding the stationary spectrum for current driven ion‐acoustic turbulence. Balancing the induced wave scattering off screened ions with a quasilinear growth rate, a modified Kadomtsev spectrum having a lowk&lgr;Dcut off is obtained self‐consistently within the collisionless theory. The turbulent energy density and effective collision frequency are computed from the new spectrum.

 

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