Analytic Model for the Time-dependent Electromagnetic Field of an Astrophysical Jet

Bellan, P. M.

doi:10.3847/1538-4357/ab5f0d

Title: Analytic Model for the Time-dependent Electromagnetic Field of an Astrophysical Jet

Journal Article · 08 January 2020 · The Astrophysical Journal (Online)

DOI: https://doi.org/10.3847/1538-4357/ab5f0d · OSTI ID:1597011

^[1]

California Inst. of Technology (CalTech), Pasadena, CA (United States); California Institute of Technology

In this work, an analytic model of the time-dependent electric and magnetic fields of an astrophysical jet is presented. These fields satisfy the time-dependent Faraday's law and describe a jet with increasing length. The electric field contains both electrostatic and inductive parts. The electrostatic part corresponds to the rate of injection of toroidal magnetic flux, while the sum of the electrostatic and inductive parts results in the electric field parallel to the magnetic field being zero everywhere. Lastly, the pinch force associated with the electric current provides a peaked pressure on the jet axis and a pressure minimum at the radius where the poloidal magnetic field reverses direction.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: California Inst. of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: Air Force Office of Scientific Research; National Science Foundation (NSF); USDOE Advanced Research Projects Agency - Energy (ARPA-E); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: AR0000565; FG02-04ER54755

OSTI ID:: 1597011

Journal Information:: The Astrophysical Journal (Online), Journal Name: The Astrophysical Journal (Online) Journal Issue: 2 Vol. 888; ISSN 1538-4357

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

References (54)

Sweeping-magnetic-twist mechanism for the acceleration of jets in the solar atmosphere Shibata, Kazunari; Uchida, Yutaka Solar Physics, Vol. 103, Issue 2 https://doi.org/10.1007/BF00147831	journal	February 1986
On a plasma sheath separating regions of oppositely directed magnetic field Harris, E. G. Il Nuovo Cimento, Vol. 23, Issue 1 https://doi.org/10.1007/BF02733547	journal	January 1962
3D MHD Simulations of Laboratory Plasma Jets Ciardi, A.; Lebedev, S. V.; Frank, A. Astrophysics and Space Science, Vol. 307, Issue 1-3 https://doi.org/10.1007/s10509-006-9215-8	journal	November 2006
Magnetic-Tower Jet Solution for Launching Astrophysical Jets: The formation of the first jets in the universe Kato, Yoshiaki Astrophysics and Space Science, Vol. 307, Issue 1-3 https://doi.org/10.1007/s10509-006-9220-y	journal	November 2006
Development of Merged Compact Toroids for Use as a Magnetized Target Fusion Plasma Howard, Stephen; Laberge, Michel; McIlwraith, Lon Journal of Fusion Energy, Vol. 28, Issue 2 https://doi.org/10.1007/s10894-008-9167-9	journal	November 2008
Magnetic Fields in Astrophysical Jets: From Launch to Termination Pudritz, Ralph E.; Hardcastle, Martin J.; Gabuzda, Denise C. Space Science Reviews, Vol. 169, Issue 1-4 https://doi.org/10.1007/s11214-012-9895-z	journal	June 2012
Introduction to space physics Antonova, E. E. Journal of Atmospheric and Terrestrial Physics, Vol. 58, Issue 15 https://doi.org/10.1016/0021-9169(96)80448-x	journal	November 1996
Astrophysical jets: a phenomenological examination of acceleration and collimation Livio, Mario Physics Reports, Vol. 311, Issue 3-5 https://doi.org/10.1016/S0370-1573(98)00102-1	journal	April 1999
Astrophysical jets and outflows de Gouveia Dal Pino, Elisabete M. Advances in Space Research, Vol. 35, Issue 5 https://doi.org/10.1016/j.asr.2005.03.145	journal	January 2005
Comparing Poynting flux dominated magnetic tower jets with kinetic-energy dominated jets Huarte-Espinosa, M.; Frank, A.; Blackman, E. G. High Energy Density Physics, Vol. 9, Issue 2 https://doi.org/10.1016/j.hedp.2013.01.010	journal	June 2013
Introduction to Space Physics Kivelson, Margaret G.; Russell, Christopher T. Cambridge University Press https://doi.org/10.1017/9781139878296	book	April 1995
Experiments relevant to astrophysical jets Bellan, P. M. Journal of Plasma Physics, Vol. 84, Issue 5 https://doi.org/10.1017/S002237781800079X	journal	September 2018
Introduction to space physics Lysak, R. L. Eos, Transactions American Geophysical Union, Vol. 76, Issue 49 https://doi.org/10.1029/95eo00313	journal	January 1995
Scaled laboratory experiments explain the kink behaviour of the Crab Nebula jet Li, C. K.; Tzeferacos, P.; Lamb, D. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13081	journal	October 2016
A class of exact MHD models for astrophysical jets Vlahakis, N.; Tsinganos, K. Monthly Notices of the Royal Astronomical Society, Vol. 307, Issue 2 https://doi.org/10.1046/j.1365-8711.1999.02567.x	journal	August 1999
A laboratory plasma experiment for studying magnetic dynamics of accretion discs and jets Hsu, S. C.; Bellan, P. M. Monthly Notices of the Royal Astronomical Society, Vol. 334, Issue 2 https://doi.org/10.1046/j.1365-8711.2002.05422.x	journal	August 2002
On why discs generate magnetic towers and collimate jets Lynden-Bell, D. Monthly Notices of the Royal Astronomical Society, Vol. 341, Issue 4 https://doi.org/10.1046/j.1365-8711.2003.06506.x	journal	June 2003
Nonradial and nonpolytropic astrophysical outflows: IX. Modeling T Tauri jets with a low mass-accretion rate Sauty, C.; Meliani, Z.; Lima, J. J. G. Astronomy & Astrophysics, Vol. 533 https://doi.org/10.1051/0004-6361/201116519	journal	August 2011
Des Vents et des Jets Astrophysiques Sauty, C. Annales de Physique, Vol. 19, Issue 5 https://doi.org/10.1051/anphys:01994001905045900	journal	January 1994
Magnetohydrodynamic scaling: From astrophysics to the laboratory Ryutov, D. D.; Remington, B. A.; Robey, H. F. Physics of Plasmas, Vol. 8, Issue 5 https://doi.org/10.1063/1.1344562	journal	May 2001
Experiments and models of MHD jets and their relevance to astrophysics and solar physics Bellan, Paul M. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5009571	journal	May 2018
Experimental investigation of the compression and heating of an MHD-driven jet impacting a target cloud Seo, Byonghoon; Bellan, Paul M. Physics of Plasmas, Vol. 25, Issue 11 https://doi.org/10.1063/1.5045678	journal	November 2018
Physical constraints on the coefficients of Fourier expansions in cylindrical coordinates Lewis, H. Ralph; Bellan, Paul M. Journal of Mathematical Physics, Vol. 31, Issue 11 https://doi.org/10.1063/1.529009	journal	November 1990
Current drive and helicity injection Jensen, T. H.; Chu, M. S. Physics of Fluids, Vol. 27, Issue 12 https://doi.org/10.1063/1.864602	journal	January 1984
Magnetically driven relativistic jets and winds: Exact solutions Contopoulos, J. The Astrophysical Journal, Vol. 432 https://doi.org/10.1086/174590	journal	September 1994
Jet Formation in Initially Spherical, Supermagnetosonic Magnetohydrodynamic Winds Li, Zhi‐Yun The Astrophysical Journal, Vol. 473, Issue 2 https://doi.org/10.1086/178199	journal	December 1996
ZEUS-2D: A Radiation Magnetohydrodynamics Code for Astrophysical Flows in Two Space Dimensions. II. The Magnetohydrodynamic Algorithms and Tests Stone, James M.; Norman, Michael L. The Astrophysical Journal Supplement Series, Vol. 80 https://doi.org/10.1086/191681	journal	May 1992
Numerical Simulations of Astrophysical Jets from Keplerian Disks. I. Stationary Models Ouyed, Rachid; Pudritz, Ralph E. The Astrophysical Journal, Vol. 482, Issue 2 https://doi.org/10.1086/304170	journal	June 1997
Dust‐driven Dynamos in Accretion Disks Bellan, P. M. The Astrophysical Journal, Vol. 687, Issue 1 https://doi.org/10.1086/591244	journal	November 2008
A Magnetohydrodynamic Model of the m87 jet. i. Superluminal knot Ejections from Hst-1 as Trails of quad Relativistic mhd Shocks Nakamura, Masanori; Garofalo, David; Meier, David L. The Astrophysical Journal, Vol. 721, Issue 2 https://doi.org/10.1088/0004-637X/721/2/1783	journal	September 2010
Three-Dimensional mhd Simulation of the Caltech Plasma jet Experiment: First Results Zhai, Xiang; Li, Hui; Bellan, Paul M. The Astrophysical Journal, Vol. 791, Issue 1 https://doi.org/10.1088/0004-637X/791/1/40	journal	July 2014
Introduction to Space Physics Robinson, Terry European Journal of Physics, Vol. 17, Issue 2 https://doi.org/10.1088/0143-0807/17/2/015	journal	March 1996
A Note on Equatorial Acceleration in a Magnetic Star Mestel, L. Monthly Notices of the Royal Astronomical Society, Vol. 122, Issue 6 https://doi.org/10.1093/mnras/122.6.473	journal	June 1961
Relativistic Stellar Wind Theory: 'Near' Zone Solutions Henriksen, R. N.; Rayburn, D. R. Monthly Notices of the Royal Astronomical Society, Vol. 152, Issue 3 https://doi.org/10.1093/mnras/152.3.323	journal	June 1971
Hydromagnetic flows from accretion discs and the production of radio jets Blandford, R. D.; Payne, D. G. Monthly Notices of the Royal Astronomical Society, Vol. 199, Issue 4 https://doi.org/10.1093/mnras/199.4.883	journal	August 1982
Integrated accretion disc angular momentum removal and astrophysical jet acceleration mechanism Bellan, P. M. Monthly Notices of the Royal Astronomical Society, Vol. 458, Issue 4 https://doi.org/10.1093/mnras/stw562	journal	March 2016
Magnetically Self-Focussing Streams Bennett, Willard H. Physical Review, Vol. 45, Issue 12 https://doi.org/10.1103/PhysRev.45.890	journal	June 1934
Helical Shear-Flow Stabilization of an Astrophysically Relevant Laboratory Plasma Jet Lavine, Eric Sander; You, Setthivoine Physical Review Letters, Vol. 123, Issue 14 https://doi.org/10.1103/PhysRevLett.123.145002	journal	October 2019
Slow Formation and Sustainment of Spheromaks by a Coaxial Magnetized Plasma Source Jarboe, T. R.; Henins, I.; Sherwood, A. R. Physical Review Letters, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevLett.51.39	journal	July 1983
Dynamic and Stagnating Plasma Flow Leading to Magnetic-Flux-Tube Collimation You, S.; Yun, G. S.; Bellan, P. M. Physical Review Letters, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevLett.95.045002	journal	July 2005
Exploring astrophysics-relevant magnetohydrodynamics with pulsed-power laboratory facilities Lebedev, S. V.; Frank, A.; Ryutov, D. D. Reviews of Modern Physics, Vol. 91, Issue 2 https://doi.org/10.1103/RevModPhys.91.025002	journal	April 2019
Magnetic tower outflows from a radial wire array Z-pinch Lebedev, S. V.; Ciardi, A.; Ampleford, D. J. Monthly Notices of the Royal Astronomical Society, Vol. 361, Issue 1 https://doi.org/10.1111/j.1365-2966.2005.09132.x	journal	July 2005
Wind-driving protostellar accretion discs - II. Numerical method and illustrative solutions: Wind-driving protostellar accretion discs Salmeron, Raquel; Königl, Arieh; Wardle, Mark Monthly Notices of the Royal Astronomical Society https://doi.org/10.1111/j.1365-2966.2010.17974.x	journal	January 2011
Plasma Physics for Astrophysics Kulsrud, Russell M. Princeton Series in Astrophysics, Vol. 66 https://doi.org/10.1515/9780691213354	journal	January 2005
Magnetohydrodynamic models of astrophysical jets Beskin, Vasily S. Physics-Uspekhi, Vol. 53, Issue 12 https://doi.org/10.3367/UFNe.0180.201012b.1241	journal	December 2010
Magnetohydrodynamic models of astrophysical jets [Magnitogidrodinamicheskie modeli astrofizicheskikh struinykh vybrosov] Beskin, Vasilii S. Uspekhi Fizicheskih Nauk, Vol. 180, Issue 12 https://doi.org/10.3367/ufnr.0180.201012b.1241	journal	January 2010
The Role of Magnetic Fields in Protostellar Outflows and Star Formation Pudritz, Ralph E.; Ray, Tom P. Frontiers in Astronomy and Space Sciences, Vol. 6 https://doi.org/10.3389/fspas.2019.00054	journal	July 2019
A Magnetohydrodynamic Model of the M87 Jet I: Superluminal Knot Ejections from HST-1 as Trails of Quad Relativistic MHD Shocks Nakamura, Masanori; Garofalo, David; Meier, David L. arXiv https://doi.org/10.48550/arxiv.1008.3512	text	January 2010
Magnetic Fields in Astrophysical Jets: From Launch to Termination Pudritz, R. E.; Hardcastle, M. J.; Gabuzda, D. C. arXiv https://doi.org/10.48550/arxiv.1205.2073	text	January 2012
Comparing Poynting flux dominated magnetic tower jets with kinetic-energy dominated jets Huarte-Espinosa, Martín; Frank, Adam; Blackman, Eric G. arXiv https://doi.org/10.48550/arxiv.1209.1565	text	January 2012
Three-Dimensional MHD Simulation of Caltech Plasma Jet Experiment: First Results Zhai, Xiang; Li, Hui; Bellan, Paul M. arXiv https://doi.org/10.48550/arxiv.1407.3498	text	January 2014
On Why Disks Generate Magnetic Towers and Collimate Jets Lynden-Bell, D. arXiv https://doi.org/10.48550/arxiv.astro-ph/0208388	text	January 2002
3D MHD Simulations of Laboratory Plasma Jets Ciardi, A.; Lebedev, S. V.; Frank, A. arXiv https://doi.org/10.48550/arxiv.astro-ph/0606755	text	January 2006
A class of exact MHD models for astrophysical jets Vlahakis, N.; Tsinganos, K. arXiv https://doi.org/10.48550/arxiv.astro-ph/9902094	text	January 1999

Similar Records

Experiments and models of MHD jets and their relevance to astrophysics and solar physics

Journal Article · 2018 · Physics of Plasmas · OSTI ID:1540139

Bellan, Paul M.

Three-dimensional MHD simulation of the Caltech plasma jet experiment: first results

Journal Article · 2014 · Astrophysical Journal · OSTI ID:22365387

Zhai, Xiang; Bellan, Paul M.; Li, Hui; +1 more

Detailed characterization of laser-produced astrophysically-relevant jets formed via a poloidal magnetic nozzle

Journal Article · 2017 · High Energy Density Physics · OSTI ID:1357399

Higginson, D. P.; Revet, G.; Khiar, B.; +21 more

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
Accretion
Collimation
jets
magnetohydrodynamics
stellar accretion disks
stellar jets
young stellar objects

Title: Analytic Model for the Time-dependent Electromagnetic Field of an Astrophysical Jet

Citation Formats

References (54)

Similar Records

Related Subjects