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Astrophysical and high-energy-density laboratory plasmas often have large-amplitude, sub-Larmor-scale electromagnetic fluctuations excited by various kinetic-streaming or anisotropy-driven instabilities. The Weibel (or the filamentation)…

High Energy Astrophysical Phenomena · Physics 2017-05-10 Mikhail V. Medvedev

In this first paper of a series dedicated to the microphysics of unmagnetized, relativistic collisionless pair shocks, we discuss the physics of the Weibel-type transverse current filamentation instability (CFI) that develops in the shock…

High Energy Astrophysical Phenomena · Physics 2019-07-26 G. Pelletier , L. Gremillet , A. Vanthieghem , M. Lemoine

Models for the synchrotron emission of gamma-ray burst afterglows suggest that the magnetic field is generated in the shock wave that forms as relativistic ejecta plow through the circum-burst medium. Transverse Weibel instability…

Astrophysics · Physics 2009-11-13 Milos Milosavljevic , Ehud Nakar

It is generally accepted that magnetic fields generated in the nonlinear development of the transverse Weibel instability provide effective collisionality in unmagnetized collisionless shocks. Recently, extensive two and three dimensional…

Astrophysics · Physics 2009-11-13 Milos Milosavljevic , Ehud Nakar , Anatoly Spitkovsky

The filamentation instability (sometimes also referred to as "Weibel") is a key process in many astrophysical scenario. In the Fireball model for Gamma Ray Bursts, this instability is believed to mediate collisionless shock formation from…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Antoine Bret , Erica Perez Alvaro

The filamentation (Weibel) instability plays a key role in the formation of collisionless shocks which are thought to produce Gamma-Ray-Bursts and High-Energy-Cosmic-Rays in astrophysical environments. While it has been known for long that…

Plasma Physics · Physics 2015-06-18 Antoine Bret

The formation of non-relativistic collisionless shocks in laboratory with ultrahigh intensity lasers is studied via \emph{ab initio} multi-dimensional particle-in-cell simulations. The microphysics behind shock formation and dissipation,…

Plasma Physics · Physics 2015-06-04 F. Fiuza , R. A. Fonseca , J. Tonge , W. B. Mori , L. O. Silva

The quantum effect on the Weibel instability in an unmagnetized plasma is presented. Our analysis shows that the quantum effect tends to stabilize the Weibel instability in the hydrodynamic regime, whereas it produces a new oscillatory…

Plasma Physics · Physics 2015-05-13 Levan N. Tsintsadze , P. K. Shukla

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

We develop a comprehensive theoretical model of relativistic collisionless pair shocks mediated by the current filamentation instability. We notably characterize the noninertial frame in which this instability is of a mostly magnetic…

High Energy Astrophysical Phenomena · Physics 2019-07-26 M. Lemoine , L. Gremillet , G. Pelletier , A. Vanthieghem

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. These systems support various types…

Plasma Physics · Physics 2025-10-27 Michael C. Sitarz

We review recent progress on collisionless relativistic shocks. Kinetic instability theory is briefed including its predictions and limitations. The main focus is on numerical experiments in (i) pair and (ii) electron-nucleon plasmas. The…

High Energy Astrophysical Phenomena · Physics 2011-10-20 A. M. Bykov , R. A. Treumann

The growth rate of long wavelength kinetic instabilities arising due to the interaction of a collimated beam of relativistic particles and a cold unmagnetized plasma are calculated in the ultra relativistic limit. For sufficiently…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Itay Rabinak , Boaz Katz , Eli Waxman

We present a cold-fluid analysis of the purely transverse Weibel (current-filamentation) instability across four regimes: non-relativistic (NR) single-species, NR multi-species, relativistic single-species, and relativistic multi-species…

Plasma Physics · Physics 2026-03-16 Vivek Shrivastav , Mani K Chettri , Hemam D Singh , Britan Singh , Rupak Mukherjee

We present a particle-in-cell simulation of the generation of a collisionless turbulent shock in a dense plasma driven by an ultra-high-intensity laser pulse. From the linear analysis, we highlight the crucial role of the laser-heated and…

Plasma Physics · Physics 2015-09-02 C. Ruyer , L. Gremillet , G. Bonnaud

A new quasi-neutral model describing the Weibel instability of a high-current relativistic beam propagating through a resistive plasma is developed. It treats beam electrons as kinetic particles, and ambient plasma as a non-relativistic…

Plasma Physics · Physics 2009-11-13 Anupam Karmakar , Naveen Kumar , Gennady Shvets , Oleg Polomarov , Alexander Pukhov

To analyze the joint development of two-stream and filamentation kinetic instabilities in a plasma with a particle beam, a quasilinear approach has been developed that accounts for the integral nonlinear interaction of modes arising from…

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

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

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

The Weibel instability driven by two symmetric counter-streaming relativistic electron plasmas, also referred to as current-filamentation instability, is studied in a constant and uniform external magnetic field aligned with the plasma…

Plasma Physics · Physics 2017-02-08 A. Grassi , M. Grech , F. Amiranoff , F. Pegoraro , A. Macchi , C. Riconda
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