Extragalactic jets with helical magnetic fields: relativistic MHD simulations

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Issue		A&A Volume 486, Number 3, August II 2008


Page(s)		663 - 678
Section		Astrophysical processes
DOI		http://dx.doi.org/10.1051/0004-6361:20079174
Published online		19 March 2008

A&A 486, 663-678 (2008)
DOI: 10.1051/0004-6361:20079174

Extragalactic jets with helical magnetic fields: relativistic MHD simulations

R. Keppens^{1, 2, 3}, Z. Meliani², B. van der Holst¹, and F. Casse⁴

¹ Centre for Plasma Astrophysics, K.U. Leuven (Leuven Mathematical Modeling and Computational Science Center), Celestijnenlaan 200B, 3001 Heverlee, Belgium
e-mail: Rony.Keppens@wis.kuleuven.be
² FOM-Institute for Plasma Physics Rijnhuizen, Nieuwegein, The Netherlands
³ Astronomical Institute, Utrecht University, The Netherlands
⁴ AstroParticule & Cosmologie (APC), Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
e-mail: fcasse@apc.univ-paris7.fr

Received 30 November 2007 / Accepted 9 February 2008

Abstract
Context. Extragalactic jets are judged to harbor dynamically important, organized magnetic fields that presumably aid in the collimation of the relativistic jet flows.
Aims. We here explore the morphology of AGN jets pervaded by helical field and flow topologies by means of grid-adaptive, high-resolution numerical simulations. We concentrate on morphological features of the bow shock and the jet beam behind the Mach disk, for various jet Lorentz factors and magnetic field helicities. We investigate the influence of helical magnetic fields on jet beam propagation in an overdense external medium. We adopt a special relativistic magnetohydrodynamic (MHD) viewpoint on the shock-dominated AGN jet evolution. Due to the adaptive mesh refinement (AMR), we can concentrate on the long-term evolution of kinetic energy-dominated jets, with beam-averaged Lorentz factor $\Gamma$ $\simeq$ 7, as they penetrate denser clouds. These jets have near-equipartition magnetic fields (with the thermal energy) and radially varying $\Gamma(R)$ profiles within the jet radius $R<R_{\rm j}$ maximally reaching $\Gamma$ ~ 22.
Methods. We used the AMRVAC code, with a novel hybrid block-based AMR strategy, to compute ideal plasma dynamics in special relativity. We combined this with a robust second-order shock-capturing scheme and a diffusive approach to controlling magnetic monopole errors.
Results. We find that the propagation speed of the bow shock systematically exceeds the value expected from estimates using beam-average parameters, in accordance with the centrally-peaked $\Gamma(R)$ variation. The helicity of the beam magnetic field is effectively transported down the beam, with compression zones between the diagonal internal cross-shocks showing stronger toroidal field regions. In comparison with equivalent low-relativistic jets ( $\Gamma$ $\simeq$ 1.15), which get surrounded by cocoons with vortical backflows filled by mainly toroidal field, the high speed jets only demonstrate localized, strong toroidal field zones within the backflow vortical structures. These structures are ring-like due to our axisymmetry assumption and may further cascade to a smaller scale in 3D. We find evidence of a more poloidal, straight field layer, compressed between jet beam and backflows. This layer decreases the destabilizing influence of the backflow on the jet beam. In all cases, the jet beam contains rich cross-shock patterns, across which part of the kinetic energy gets transfered. For the high-speed reference jet considered here, significant jet deceleration only occurs beyond distances exceeding ${\cal O}(100 R_{\rm j})$ , as the axial flow can reaccelerate downstream to the internal cross shocks. This reacceleration is magnetically aided by field compression across the internal shocks that pinch the flow.

Key words: magnetohydrodynamics (MHD) -- methods: numerical -- ISM: jets and outflows -- relativity

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