Temperature-dependent Saturation of Weibel-type Instabilities in Counter-streaming Plasmas

Skoutnev, V.; Hakim, A.; Juno, J.; TenBarge, J. M.

doi:10.3847/2041-8213/ab0556

Temperature-dependent Saturation of Weibel-type Instabilities in Counter-streaming Plasmas

Journal Article · Wed Feb 20 00:00:00 EST 2019 · The Astrophysical Journal. Letters (Online)

DOI:https://doi.org/10.3847/2041-8213/ab0556· OSTI ID:1498787

^[1]; Hakim, A. ^[2]; ^[3]; ^[4]

Princeton Univ., Princeton, NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Univ. of Maryland, College Park, MD (United States)
Princeton Univ., Princeton, NJ (United States)

We present the first 2X2V continuum Vlasov–Maxwell simulations of interpenetrating, unmagnetized plasmas to study the competition between two-stream, Oblique, and filamentation modes in the weakly relativistic regime. We find that after nonlinear saturation of the fastest-growing two-stream and Oblique modes, the effective temperature anisotropy, which drives current filament formation via the secular Weibel instability, has a strong dependence on the internal temperature of the counter-streaming plasmas. The effective temperature anisotropy is significantly more reduced in colder than in hotter plasmas, leading to orders of magnitude lower magnetization for colder plasmas. Here, a strong dependence of the energy conversion efficiency of Weibel-type instabilities on internal beam temperature has implications for determining their contribution to the observed magnetization of many astrophysical and laboratory plasmas.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1498787

Journal Information:: The Astrophysical Journal. Letters (Online), Journal Name: The Astrophysical Journal. Letters (Online) Journal Issue: 2 Vol. 872; ISSN 2041-8213

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

References (33)

The Serendipity Family of Finite Elements Arnold, Douglas N.; Awanou, Gerard Foundations of Computational Mathematics, Vol. 11, Issue 3 https://doi.org/10.1007/s10208-011-9087-3	journal	March 2011
Discontinuous Galerkin algorithms for fully kinetic plasmas Juno, J.; Hakim, A.; TenBarge, J. Journal of Computational Physics, Vol. 353 https://doi.org/10.1016/j.jcp.2017.10.009	journal	January 2018
Simulation studies of the magnetic field generation in cosmological plasmas Sakai, Jun-Ichi; Schlickeiser, Reinhard; Shukla, P. K. Physics Letters A, Vol. 330, Issue 5 https://doi.org/10.1016/j.physleta.2004.08.007	journal	September 2004
Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows Huntington, C. M.; Fiuza, F.; Ross, J. S. Nature Physics, Vol. 11, Issue 2 https://doi.org/10.1038/nphys3178	journal	January 2015
Intergalactic shock acceleration and the cosmic gamma-ray background Miniati, Francesco Monthly Notices of the Royal Astronomical Society, Vol. 337, Issue 1 https://doi.org/10.1046/j.1365-8711.2002.05903.x	journal	November 2002
Three-dimensional Weibel instability in astrophysical scenarios Fonseca, Ricardo A.; Silva, Luı́s O.; Tonge, John W. Physics of Plasmas, Vol. 10, Issue 5 https://doi.org/10.1063/1.1556605	journal	May 2003
Nonlinear Development of Electromagnetic Instabilities in Anisotropic Plasmas Davidson, Ronald C. Physics of Fluids, Vol. 15, Issue 2 https://doi.org/10.1063/1.1693910	journal	January 1972
Mechanism for Instability of Transverse Plasma Waves Fried, Burton D. Physics of Fluids, Vol. 2, Issue 3 https://doi.org/10.1063/1.1705933	journal	January 1959
Nonlinear saturation of the Weibel instability Cagas, P.; Hakim, A.; Scales, W. Physics of Plasmas, Vol. 24, Issue 11 https://doi.org/10.1063/1.4994682	journal	November 2017
Generation of Magnetic Fields in the Relativistic Shock of Gamma‐Ray Burst Sources Medvedev, Mikhail V.; Loeb, Abraham The Astrophysical Journal, Vol. 526, Issue 2 https://doi.org/10.1086/308038	journal	December 1999
Generation of a Small-Scale Quasi-Static Magnetic Field and Fast Particles during the Collision of Electron-Positron Plasma Clouds Kazimura, Y.; Sakai, J. I.; Neubert, T. The Astrophysical Journal, Vol. 498, Issue 2 https://doi.org/10.1086/311316	journal	May 1998
Particle Acceleration in Relativistic Jets Due to Weibel Instability Nishikawa, K. ‐I.; Hardee, P.; Richardson, G. The Astrophysical Journal, Vol. 595, Issue 1 https://doi.org/10.1086/377260	journal	September 2003
Interpenetrating Plasma Shells: Near-Equipartition Magnetic Field Generation and Nonthermal Particle Acceleration Silva, L. O.; Fonseca, R. A.; Tonge, J. W. The Astrophysical Journal, Vol. 596, Issue 1 https://doi.org/10.1086/379156	journal	September 2003
Cosmological Magnetic Field Generation by the Weibel Instability Schlickeiser, R.; Shukla, P. K. The Astrophysical Journal, Vol. 599, Issue 2 https://doi.org/10.1086/381246	journal	December 2003
Magnetic Field Generation in Collisionless Shocks: Pattern Growth and Transport Frederiksen, J. Trier; Hededal, C. B.; Haugbølle, T. The Astrophysical Journal, Vol. 608, Issue 1 https://doi.org/10.1086/421262	journal	May 2004
Non-Fermi Power-Law Acceleration in Astrophysical Plasma Shocks Hededal, C. B.; Haugbølle, T.; Frederiksen, J. Trier The Astrophysical Journal, Vol. 617, Issue 2 https://doi.org/10.1086/427387	journal	November 2004
Particle Acceleration and Magnetic Field Generation in Electron‐Positron Relativistic Shocks Nishikawa, K. ‐I.; Hardee, P.; Richardson, G. The Astrophysical Journal, Vol. 622, Issue 2 https://doi.org/10.1086/428394	journal	April 2005
Nonrelativistic Collisionless Shocks in Unmagnetized Electron-Ion Plasmas Kato, Tsunehiko N.; Takabe, Hideaki The Astrophysical Journal, Vol. 681, Issue 2 https://doi.org/10.1086/590387	journal	June 2008
Cosmological Effects of Weibel-Type Instabilities Lazar, M.; Schlickeiser, R.; Wielebinski, R. The Astrophysical Journal, Vol. 693, Issue 2 https://doi.org/10.1088/0004-637X/693/2/1133	journal	March 2009
Weibel, Two-Stream, Filamentation, Oblique, Bell, Buneman...Which one Grows Faster? Bret, A. The Astrophysical Journal, Vol. 699, Issue 2 https://doi.org/10.1088/0004-637X/699/2/990	journal	June 2009
Electron Heating in a Relativistic, Weibel-Unstable Plasma Kumar, Rahul; Eichler, David; Gedalin, Michael The Astrophysical Journal, Vol. 806, Issue 2 https://doi.org/10.1088/0004-637X/806/2/165	journal	June 2015
Kinetic saturation of the Weibel instability in a collisionless plasma Califano, F.; Pegoraro, F.; Bulanov, S. V. Physical Review E, Vol. 57, Issue 6 https://doi.org/10.1103/PhysRevE.57.7048	journal	June 1998
Filamentation Instability of Counterstreaming Laser-Driven Plasmas Fox, W.; Fiksel, G.; Bhattacharjee, A. Physical Review Letters, Vol. 111, Issue 22 https://doi.org/10.1103/PhysRevLett.111.225002	journal	November 2013
Spontaneously Growing Transverse Waves in a Plasma Due to an Anisotropic Velocity Distribution Weibel, Erich S. Physical Review Letters, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevLett.2.83	journal	February 1959
Magnetic Field Saturation of the Ion Weibel Instability in Interpenetrating Relativistic Plasmas Takamoto, Makoto; Matsumoto, Yosuke; Kato, Tsunehiko N. The Astrophysical Journal, Vol. 860, Issue 1 https://doi.org/10.3847/2041-8213/aac6d6	journal	June 2018
Weibel, Two-Stream, Filamentation, Oblique, Bell, Buneman... which one grows faster ? Bret, A. arXiv https://doi.org/10.48550/arxiv.0903.2658	text	January 2009
The serendipity family of finite elements Arnold, Douglas N.; Awanou, Gerard arXiv https://doi.org/10.48550/arxiv.1101.0645	text	January 2011
Electron Heating in a Relativistic, Weibel-Unstable Plasma Kumar, Rahul; Eichler, David; Gedalin, Michael arXiv https://doi.org/10.48550/arxiv.1501.05466	preprint	January 2015
Discontinuous Galerkin algorithms for fully kinetic plasmas Juno, J.; Hakim, A.; TenBarge, J. arXiv https://doi.org/10.48550/arxiv.1705.05407	text	January 2017
Magnetic Field Saturation of the Ion Weibel Instability in Interpenetrating Relativistic Plasmas Takamoto, Makoto; Matsumoto, Yosuke; Kato, Tsunehiko N. arXiv https://doi.org/10.48550/arxiv.1805.07188	text	January 2018
Inter-galactic Shock Acceleration and the Cosmic Gamma-ray Background Miniati, Francesco arXiv https://doi.org/10.48550/arxiv.astro-ph/0203014	text	January 2002
Interpenetrating plasma shells: near-equipartition magnetic field generation and non-thermal particle acceleration Silva, L. O.; Fonseca, R. A.; Tonge, J. arXiv https://doi.org/10.48550/arxiv.astro-ph/0307500	text	January 2003
Non-Fermi Power law Acceleration in Astrophysical Plasma Shocks Hededal, C. B.; Haugboelle, T.; Frederiksen, J. Trier arXiv https://doi.org/10.48550/arxiv.astro-ph/0408558	text	January 2004

Cited By (1)

ViDA: a Vlasov-DArwin solver for plasma physics at electron scales Pezzi, Oreste; Cozzani, Giulia; Califano, Francesco arXiv https://doi.org/10.48550/arxiv.1905.02953	text	January 2019

Similar Records

Nonlinear saturation of the Weibel instability

Journal Article · Mon Nov 20 19:00:00 EST 2017 · Physics of Plasmas · OSTI ID:1420769

Cumulative effect of the Weibel-type instabilities in symmetric counterstreaming plasmas with kappa anisotropies

Journal Article · Tue Apr 15 00:00:00 EDT 2008 · Physics of Plasmas · OSTI ID:21120226

DETAILED ANALYSIS OF FILAMENTARY STRUCTURE IN THE WEIBEL INSTABILITY

Journal Article · Mon Apr 20 00:00:00 EDT 2009 · Astrophysical Journal · OSTI ID:21296246

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
instabilities
magnetic fields
plasmas

Temperature-dependent Saturation of Weibel-type Instabilities in Counter-streaming Plasmas

Citation Formats

References (33)

Cited By (1)

Similar Records

Related Subjects