The growing need for a better understanding of nonlinear processes in plasma physics has in the last decades stimulated the development of new and more advanced data analysis techniques. Progress in this domain has greatly benefited from developments in fluid dynamics and dynamic system theory. This review lists some of the basic properties one may wish to infer from a data set and then present...

This paper is devoted to the travelling wave analysis of the Euler-Poisson model for a plasma consisting of electrons and ions. When the Debye length tends to 0, this system leads to a nonlinear hyperbolic system in a nonconservative form called quasineutral Euler system. Our aim is to determine the admissible jump relations and shock solutions for the quasineutral Euler system as limits of tra...

The generation of a coherent ion flow due to the injection in a plasma of a purely electrostatic wave of finite amplitude, propagating at right angle with the ambient uniform magnetic field, is investigated making use of a kinetic code which solves the fully nonlinear Vlasov equations for electrons and ions, coupled with the Maxwell equations, in one spatial and two velocity dimensions. A unifo...

We propose an approximation of pair correlations for solving the equations kinetic theory long-wave (or large-scale) fluctuations in gaseous media. The basic ones are general nonlinear large-scale at stage system evolution, derived from first principles statistical mechanics. show that based on kinetics case weak interaction between particles, it is possible to reproduce main results quasi-line...

In this study, we investigate the transparency of an overdense inhomogeneous plasma slab. This anomalous transmission is achieved when the conditions provided for the incident electromagnetic wave to excite coupled surface waves on the both sides of the slab. These conditions require that the homogeneous overdense plasma, or the metallic film, is placed between two dielectric layers. Here, the ...

Generation of accelerating plasma waves using two counter-propagating laser beams is considered. Colliding-beam accelerator requires two laser pulses: the long pump and the short timing beam. We emphasize the similarities and differences between the conventional laser wakefield accelerator and the colliding-beam accelerator (CBA). The highly-nonlinear nature of the wake excitation is explained ...

Autoresonance offers an efficient and robust means for the ponderomotive excitation of nonlinear Langmuir waves by phase-locking of the plasma wave to the slowly chirped beat frequency of the driving lasers via adiabatic passage through resonance. This mechanism is analyzed for the case of a cold, relativistic, underdense electron plasma, and its suitability for particle acceleration is discuss...

Modeling of gyroresonant wave-particle interactions in the radiation belts requires solving the Vlasov-Maxwell system of equations in an inhomogenous background geomagnetic field. Previous works have employed particle-in-cell methods or Eulerian solvers (such as the Vlasov Hybrid Simulation code) to provide numerical solutions to the problem. In this report, we provide an alternative numerical ...

The application of non-linear optical methods nowadays allows the measurement of an increasing number of specific plasma quantities which were previously not amenable to diagnostics. Among those are state resolved measurements of molecular density distributions, sensitive measurement of light atomic radical densities, electric field measurements, and determination of quenching rates. In this pa...

In experimental studies of laser-plasma interactions, the laser radiation can exist inside plasma regions where electron density is below critical (“underdense” plasma), as well at surface density. The could exhibit a rich physics. Namely, incident get converted in transverse electromagnetic waves significantly higher amplitudes than radiation, due to various nonlinear processes. We proposed di...