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We study the stability of current filaments produced by the Weibel, or current filamentation, instability in weakly magnetized counter-streaming plasmas. It is shown that a resonance exists between the current-carrying ions and a…

Plasma Physics · Physics 2018-06-15 C. Ruyer , F. Fiuza

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

Density filamentation has been observed in many beam-plasma simulations and experiments. Because current filamentation is a pure transverse mode, charge density filamentation cannot be produced directly by the current filamentation process.…

Plasma Physics · Physics 2022-05-16 Cong Tuan Huynh , Chang-Mo Ryu , Chulmin Kim

I theoretically found eigenmodes and growth rates of relativistic current filamentation instability in collisional regimes, deriving a generalized dispersion relation from self-consistent beam-Maxwell equations. For symmetrically…

Plasma Physics · Physics 2009-11-10 Mitsuru Honda

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

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

The hierarchy of unstable modes when two counter-streaming pair plasmas interact over a flow-aligned magnetic field has been recently investigated [PoP \textbf{23}, 062122 (2016)]. The analysis is here extended to the case of an arbitrarily…

Plasma Physics · Physics 2017-06-28 Antoine Bret , Mark Eric Dieckmann

The evolution of the filamentation instability produced by two counter-streaming pair plasmas is studied with particle-in-cell (PIC) simulations in both one (1D) and two (2D) spatial dimensions. Radiation friction effects on particles are…

Plasma Physics · Physics 2015-09-16 M. D'Angelo , L. Fedeli , A. Sgattoni , F. Pegoraro , A. Macchi

Filamentation due to the growth of a Weibel-type instability was observed in the interaction of a pair of counter-streaming, ablatively-driven plasma flows, in a supersonic, collisionless regime relevant to astrophysical collisionless…

Plasma Physics · Physics 2015-06-17 W. Fox , G. Fiksel , A. Bhattacharjee , P. -Y. Chang , K. Germaschewski , S. X. Hu , P. M. Nilson

The spatial-temporal evolution of the purely transverse current filamentation instability is analyzed by deriving a single partial differential equation for the instability and obtaining the analytical solutions for the spatially and…

Plasma Physics · Physics 2015-06-24 V. B. Pathak , T. Grismayer , A. Stockem , R. A. Fonseca , L. O. Silva

Counterstreaming plasma structures are widely present in laboratory experiments and astrophysical systems, and they are investigated either to prevent unstable modes arising in beam-plasma experiments or to prove the existence of large…

Plasma Physics · Physics 2009-11-13 M. Lazar , R. Schlickeiser , P. K. Shukla

The stability of current sheets in collisionless relativistic pair plasma was studied via two-dimensional two-fluid relativistic magnetohydrodynamic simulations with vanishing internal friction between fluids. In particular, we investigated…

High Energy Astrophysical Phenomena · Physics 2016-03-23 Maxim V. Barkov , Serguei S. Komissarov

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

Counter-streaming systems are a canonical model for beam-plasma instabilities, such as the filamentation instability, which is critical in high energy density physics. However, scenarios involving intersecting fast electron beams break the…

Plasma Physics · Physics 2025-07-08 Xu Liu , Dong Wu , Jie Zhang

A relativistic electron beam propagating through plasma induces a return current in the system. Such a system of counterstreaming forward and return current is susceptible to host of instabilities out of which Weibel remains a dominant mode…

Plasma Physics · Physics 2017-07-12 Atul Kumar , Predhiman Kaw , Amita Das

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 linear instability that induces a relativistic electron beam passing through a return plasma current to filament transversely is often related to some filamentation mode with wave vector normal to the beam or confused with Weibel modes.…

Plasma Physics · Physics 2009-11-11 A. Bret , M. -C. Firpo , C. Deutsch

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

Inhomogeneous plasmas filaments instabilities are investigated by using the techniques of classical differential geometry of curves where Frenet torsion and curvature describe completely the motion of curves. In our case the Frenet frame…

Mathematical Physics · Physics 2007-05-23 Garcia de Andrade

Many competing linear instabilities are likely to occur in astrophysical settings, and it is important to assess which one grows faster for a given situation. An analytical model including the main beam plasma instabilities is developed.…

High Energy Astrophysical Phenomena · Physics 2014-11-18 A. Bret
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