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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. This review lists some of the basic properties one…

comp-gas · Physics 2008-02-03 T. Dudok de Wit

We study the existence and stability of standing waves solutions of a three-coupled nonlinear Schr\"{o}dinger system related to the Raman amplification in a plasma. By means of the concentration-compacteness method, we provide a…

Analysis of PDEs · Mathematics 2017-12-05 Alex H. Ardila

The low-frequency instability of a magnetized plasma column and the anomalous radial plasma convection are shown to be linked with the existence of a radial cross-field current along a plasma channel rotating around the central magnetized…

Plasma Physics · Physics 2010-11-10 S. Jaeger , Th. Pierre

We photoionize laser-cooled atoms with a laser beam possessing spatially periodic intensity modulations to create ultracold neutral plasmas with controlled density perturbations. Laser-induced fluorescence imaging reveals that the density…

Plasma Physics · Physics 2015-05-19 J. Castro , P. McQuillen , T. C. Killian

Magnetic helicity, and more broadly magnetic field line topology, impose constraints on the plasma dynamics. Helically interlocked magnetic rings are in a non-trivial topological state. It is harder to bring them into a topologically…

Plasma Physics · Physics 2024-12-09 Simon Candelaresi , Fabio Del Sordo

A new nonlinear electromagnetic wave mode in a magnetized plasma is predicted. Its existence depends on the interaction of an intense circularly polarized electromagnetic wave with a plasma, where quantum electrodynamical photon--photon…

Astrophysics · Physics 2018-04-04 M. Marklund , P. K. Shukla , L. Stenflo , G. Brodin , M. Servin

A self-consistent nonlinear hydrodynamic theory is presented of the propagation of a long and thin relativistic electron beam through a plasma that is relatively strongly magnetized, $|\Omega_e|\sim\omega_{pe}$ and whose density is much…

Plasma Physics · Physics 2018-07-04 Dusan Jovanovic , Renato Fedele , Milivoj Belic , Sergio De Nicola

Relativistic plasmas in strong electromagnetic fields exhibit distinct properties compared to classical plasmas. In astrophysical environments, such as neutron stars, white dwarfs, AGNs, and shocks, relativistic plasmas are pervasive and…

Plasma Physics · Physics 2025-04-15 Pablo J. Bilbao , Thales Silva , Luis O. Silva

Nonlinear wave--coupling is studied in a multi-species degenerate astrophysical plasma consisting of two electron species (at different temperatures): a highly degenerate main component plus a smaller classical relativistic flow immersed in…

Plasma Physics · Physics 2020-02-19 N. L. Shatashvili , S. M. Mahajan , V. I. Berezhiani

In this paper we re-examine the one-dimensional interaction of electromagnetic and ion acoustic waves in a plasma. Our model is similar to one solved by Rao et al. (Phys. Fluids, vol. 26, 2488 (1983)) under a number of analytical…

chao-dyn · Physics 2009-10-28 Felipe B. Rizzato , Sergio R. Lopes , Abraham C. -L. Chian

Electromagnetic field confinement due to plasma near accreting black holes can trigger superradiant instabilities at the linear level, limiting the spin of black holes and providing novel astrophysical sources of electromagnetic bursts.…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Enrico Cannizzaro , Fabrizio Corelli , Paolo Pani

The evolution of a solar flare accelerated non-thermal electron population and associated plasma emission is considered in collisional inhomogeneous plasma. Non-thermal electrons collisionally evolve to become unstable and generate Langmuir…

Solar and Stellar Astrophysics · Physics 2014-10-10 Heather Ratcliffe , Eduard. P. Kontar

Plasma instabilities can be encountered in many branches of physics. This work focuses on relativistic plasmas with applications in theoretical astrophysics and particle accelerator physics. Even though these fields seem to be unrelated the…

High Energy Astrophysical Phenomena · Physics 2009-04-20 Bjoern S. Schmekel

The intensity of an electromagnetic wave interacting self-consistently with a beam of charged particles as in a free electron laser, displays large oscillations due to an aggregate of particles, called the macro-particle. In this article,…

Solitary waves in a general nonlinear lattice are discussed, employing as a model the nonlinear Schr\"odinger equation with a spatially periodic nonlinear coefficient. An asymptotic theory is developed for long solitary waves, that span a…

Optics · Physics 2011-07-05 Guenbo Hwang , T. R. Akylas , Jianke Yang

Turbulence in astrophysical and space plasmas is dominated by the nonlinear interaction of counterpropagating Alfven waves. Most Alfven wave turbulence theories have been based on ideal plasma models, such as incompressible MHD, for Alfven…

Turbulence is a ubiquitous phenomenon in space and astrophysical plasmas, driving a cascade of energy from large to small scales and strongly influencing the plasma heating resulting from the dissipation of the turbulence. Modern theories…

Plasma Physics · Physics 2015-06-11 G. G. Howes , D. J. Drake , K. D. Nielson , T. A. Carter , C. A. Kletzing , F. Skiff

This paper proves existence and stability results of solitary-wave solutions to coupled nonlinear Schr\"{o}dinger equations with power-type nonlinearities arising in several models of modern physics. The existence of solitary waves is…

Analysis of PDEs · Mathematics 2015-08-11 Santosh Bhattarai

The nonlinear coupling between the light beams and non-resonant ion density perturbations in a plasma is considered, taking into account the relativistic particle mass increase and the light beam ponderomotive force. A pair of equations…

Pattern Formation and Solitons · Physics 2009-11-07 P. K. Shukla , R. Fedele , M. Onorato , N. L. Tsintsadze

Astrophysical disks that are sufficiently cold and dense are linearly unstable to the formation of axisymmetric rings as a result of the disk's gravity. In practice, spiral structures are formed, which may in turn produce bound fragments.…

Earth and Planetary Astrophysics · Physics 2022-08-17 Hongping Deng , Gordon I. Ogilvie