Linear response theory of a turbulent plasma

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Abstract
The linear response theory of a turbulent plasma is presented. The procedure of obtaining the dielectric constant of a turbulent plasma is presented using quasi-linear techniques. The principal result of the theory is the electron orbit modification due to the steady Langmuir turbulence fields. The collisional dissipative parametric destabilizing effect of the Langmuir turbulence fields on the ion sound waves appears. A steady turbulent state is maintained by the competing processes between the linear Landau damping effect and the collisional dissipative parametric destabilizing effect of the Langmuir turbulences. It is suggested that the generalized parametric resonance effect is effective for ion heating through linear Landau resonance. The critical Langmuir wave fluctuation level is given in terms of the ion-to-electron temperature ratio and wavelength. The steady plasma turbulence theory is applicable to plasma far from the thermal equilibrium state.