Quasisteady magnetic fields could be generated in laser-produced plasmas with high-frequency electromagnetic radiation through wave–wave and wave–particle interactions in the vicinity of the critical point. The behavior of self-generated magnetic fields can be described by nonlinear coupling equations. It is analytically indicated that self-generated magnetic fields are modulationally unstable with respect to the uniform state of a plasma; such an instability would localize the magnetic fields within narrow regions near the critical surface. The theory is supported by a detailed comparison with experiments in laser-produced plasmas.

In the present paper, the dispersions and Landau damping of the Langmuir waves and ion sound waves in the κ-deformed Kaniadakis distributed plasma system are investigated within the plasma kinetic theory regimes. The results show that the peculiarities of the dispersions and Landau damping of both the Langmuir waves and ion sound waves depend on the parameter κ of the distribution function. For Langmuir waves, the dispersion is enhanced, while the Landau damping is suppressed by κ. On the contrary, for ion sound waves, both the dispersion and Landau damping are increased by κ. As expected, the results of the Maxwellian case are recovered perfectly when κ = 0.

A set of nonlinear equations which can self-consistently describe the behavior of high frequency Electromagnetic (EM) waves in un-magnetized, ultra-relativistic electron-positron (e-p) plasmas is obtained on the basis of Vlasov-Maxwell equations. Nonlinear wave-wave, wave-particle interactions lead to the coupling of high frequency EM waves with low frequency density perturbations which result from EM waves radiation pressure. The same as that in conventional electron-ion (e-i) plasmas, strong EM waves in e-p plasmas will give rise to density depletion in which itself are trapped. But on the contrary to that in e-i plasmas, there no longer exists electrostatic acoustic-like wave in e-p plasmas due to the absence of mass difference. For linear polarized EM waves, a stationary EM soliton with a spiky structure will be formed. The possible relation of the localized field to pulsar radio pulse is discussed.

The Bohm criterion in a dusty plasma containing nonextensively distributed electrons and cold ions is investigated within the framework of probe model including the effects of dust charge fluctuation. It is shown that the critical Mach number upshifts with the decrease of electron nonextensive parameter (qe) and the increase of the ion-to-electron number density ratio (Rn) when the effects of dust charge fluctuation are out of consideration. Once the effects of dust charge fluctuation are included, with the increase of Rn, the critical Mach number increases first, then decreases. The slop of the critical Mach number curves in the region Rn≫1 for qe>1 becomes more gradual than that for qe<1. When critical Mach number is defined with respect to modified ion acoustic wave speed, it should be larger than unity in the case free of dust charge fluctuation. Whereas when Rn≫1, it may be smaller than unity due to the effect of dust charge fluctuation.

The phenomenon of Debye shielding in dusty plasmas is investigated within the framework of nonextensively distributed electrons and ions. The effects of dust grain charge fluctuation are considered. It shows that the increase of the nonextensive parameters of electrons and ions will lead to the decrease of the shielding distance and it is due to that the effective temperature of nonextensively distributed particles drops with the increase of nonextensive parameters. There is a rather interesting result that the Debye shielding effects may vanish in a certain condition when the fluctuation of the dust grain charges is taken into account.

Using a kinetic description, the relativistically strong Langmuir turbulence is investigated, which has considered the nonlinear wave–wave, wave–particle interactions and the relativistic effects of electrons. The relativistic Zakharov equations have been obtained. On the basis of these equations, dynamics of collapse has been studied. It is shown that the field strength of relativistic Langmuir plasmons will increase and the ponderomotive expulsion of particles gives rise to the formation of density caviton during the collapsing, which is useful for understanding the natural structural element of relativistically strong Langmuir turbulence

The instability of dust acoustic waves driven by electrons and ions with different drift velocities in dusty non-extensive plasma is investigated based on the kinetic theory. The non-extensivity parameters of non-extensive distribution for three plasma components are different from each other. The instability growth rate is shown to be dependent on the non-extensivity parameters as well as on the ion--electron number density ratio. In the extensive limit (q=1), the result in Maxwellian distribution plasma is recovered. The instability growth rate is found to decrease as the population of suprathermal electrons and dust grains increases, but it enhances when the number of suprathermal ions increases and electron density decreases.

Langmuir waves excited by transverse pumping plasmons near the critical surface in a laser-plasma may collapse, leading to the formation of a density cavity owing to the ponderomotive force. The collapse behavior of electromagnetic waves, Langmuir waves and ion-sound waves are studied numerically. The interactions of the three-wave system will lead to the tendency for an equilibration of energy over both the transverse and Langmuir plasmons with the same frequency near ωpe, which is shown in our numerical analysis.