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The nonlinear evolution of the Weibel instability driven by the anisotropy of the electron distribution function in a collisionless plasma is investigated in a spatially one-dimensional configuration with a Vlasov code in a two-dimensional…

Plasma Physics · Physics 2010-08-16 L. Palodhi , F. Califano , F. Pegoraro

We present a predictive model of the nonlinear phase of the Weibel instability induced by two symmetric, counter-streaming ion beams in the non-relativistic regime. This self-consistent model combines the quasilinear kinetic theory of…

Plasma Physics · Physics 2015-04-08 C. Ruyer , L. Gremillet , A. Debayle , G. Bonnaud

Fully kinetic two-dimensional particle-in-cell simulations are used to study electron acceleration at high-Mach-number nonrelativistic perpendicular shocks. SNR shocks are mediated by the Weibel instability which is excited because of an…

High Energy Astrophysical Phenomena · Physics 2020-04-15 Artem Bohdan , Martin Pohl , Jacek Niemiec , Sergei Vafin , Yosuke Matsumoto , Takanobu Amano , Masahiro Hoshino

The Weibel instability is investigated with PIC simulations of an initially unmagnetized and spatially uniform electron plasma. This instability, which is driven by the thermally anisotropic electron distribution, generates electromagnetic…

Astrophysics of Galaxies · Physics 2015-05-13 A Stockem , M E Dieckmann , R Schlickeiser

The growth and saturation of magnetic fields due to the Weibel instability (WI) have important implications for laboratory and astrophysical plasmas, and this has drawn significant interest recently. Since the WI can generate a large…

Plasma Physics · Physics 2017-12-06 Petr Cagas , Ammar Hakim , Wayne Scales , Bhuvana Srinivasan

In this paper, we report our recent findings on the relativistic Weibel instability and its nonlinear saturation by performing numerical simulations of collisionless plasmas. Analysis of the obtained numerical results revealed that the…

High Energy Astrophysical Phenomena · Physics 2019-06-12 Makoto Takamoto , Yosuke Matsumoto , Tsunehiko N. Kato

The Weibel/filamentation instability is known to play a key role in the physics of weakly magnetized collisionless shock waves. From the point of view of high energy astrophysics, this instability also plays a crucial role because its…

Plasma Physics · Physics 2015-05-20 Martin Lemoine

The instability and nonlinear evolution of directional ocean waves is investigated numerically by means of simulations of the governing kinetic equation for narrow-band surface waves. Our simulation results reveal the onset of the…

Fluid Dynamics · Physics 2015-05-14 Bengt Eliasson , Padma K. Shukla

The nonlinear evolution of an ion ring instability in a low-beta magnetospheric plasma is considered. The evolution of the two-dimensional ring distribution is essentially quasilinear. Ignoring nonlinear processes the time-scale for the…

Plasma Physics · Physics 2015-05-27 M. Mithaiwala , L. Rudakov1 , G. Ganguli , C. Crabtree

Nonlinear dynamics of the electron-cyclotron instability driven by the electron $\mathbf{E\times B}$ current in crossed electric and magnetic field is studied. In nonlinear regime the instability proceeds by developing a large amplitude…

Energetic astrophysical phenomena, such as $\gamma$-ray bursts and supernova explosion-driven shocks in collisionless plasmas, involve various plasma kinetic instabilities, such as the Weibel instability. In this paper, we explore the…

Plasma Physics · Physics 2025-07-16 Michael C. Sitarz

We numerically investigate the process of generating magnetic fields from temperature anisotropy of electrons in collisionless initially uniform plasmas. We use a fully kinetic modeling and compare it against a hybrid modeling which treats…

Plasma Physics · Physics 2023-05-08 A. Sladkov , A. Korzhimanov

The nonlinear evolution of unstable C-type shocks in weakly ionized plasmas is studied by means of time-dependent magnetohydrodynamical simulations. This study is limited to shocks in magnetically dominated plasmas (in which the Alfven…

Astrophysics · Physics 2009-10-30 James M. Stone

The vast majority of the literature dealing with quantum dynamics is concerned with linear evolution of the wave function or the density matrix. A complete dynamical description requires a full understanding of the evolution of measured…

Magnetic field amplification by relativistic streaming plasma instabilities is central to a wide variety of high-energy astrophysical environments as well as to laboratory scenarios associated with intense lasers and electron beams. We…

Plasma Physics · Physics 2021-06-02 J. R. Peterson , S. Glenzer , F. Fiuza

Plasma instabilities (e.g., Buneman, Weibel and other two-stream instabilities) excited in collisionless shocks are responsible for particle (electron, positron, and ion) acceleration. Using a new 3-D relativistic particle-in-cell code, we…

High Energy Astrophysical Phenomena · Physics 2011-02-11 K. -I. Nishikawa , J. Niemiec , P. E. Hardee , M. Medvedev , H. Sol , Y. Mizuno , B. Zhang , M. Pohl , M. Oka , D. H. Hartmann

We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair of two-dimensional coupled nonlinear Schroedinger equations. We derive a nonlinear dispersion relation.…

Chaotic Dynamics · Physics 2007-05-23 P. K. Shukla , I. Kourakis , B. Eliasson , M. Marklund , L. Stenflo

A two-dimensional electromagnetic particle-in-cell simulation with the realistic ion-to-electron mass ratio of 1836 is carried out to investigate the electrostatic collisionless shocks in relatively high-speed (~3000 km s^-1) plasma flows…

Plasma Physics · Physics 2010-05-12 Tsunehiko N. Kato , Hideaki Takabe

The analytical theory of non-linear generation of large-scale magnetic turbulence in anisotropic magnetoactive plasma in the quasilinear approximation without taking into account the direct non-linear interaction of individual harmonics is…

Plasma Physics · Physics 2025-04-29 N. A. Emelyanov , Vl. V. Kocharovsky

The nonlinear interaction, due to quantum electrodynamical (QED) effects, between photons is investigated using a wave-kinetic description. Starting from a coherent wave description, we use the Wigner transform technique to obtain a set of…

Plasma Physics · Physics 2015-06-26 M. Marklund , P. K. Shukla , G. Brodin , L. Stenflo
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