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Deceleration of relativistic jets with lateral expansion

Lu, Wenbin and Beniamini, Paz and McDowell, Austin (2020) Deceleration of relativistic jets with lateral expansion. . (Unpublished)

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We present a model for the hydrodynamics of a relativistic jet interacting with the circum-stellar medium (CSM). The shocked CSM and the jet material are assumed to be in an infinitely thin surface, so the original 2D problem is effectively reduced to 1D. From general conservation laws, we derive the equation of motion for each fluid element along this surface, taking into account the deceleration along the surface normal due to newly swept-up mass and lateral expansion due to pressure gradient in the tangential direction. The pressure and energy density of the shocked CSM are given by the jump conditions at the forward shock. The method is implemented with a finite-differencing numerical scheme, along with calculation of synchrotron emission and absorption from shock-accelerated electrons, in a new code Jedi (for "jet dynamics"). We present a number of test cases, including top-hat jet, power-law structured jet, "boosted fireball" profile, and CSM with density jump at the wind termination shock. Based on the agreement with other analytical and numerical calculations, we conclude that our simplified method provides a good approximation for the hydrodynamics and afterglow emission for a wide variety of jet structures and CSM density profiles. Efficient modeling of the afterglow from e.g., neutron star mergers, will provide important information on the jet energetics, CSM properties, and the viewing angle.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Lu, Wenbin0000-0002-1568-7461
Beniamini, Paz0000-0001-7833-1043
Additional Information:We thank Chris White, Bing Zhang, Andrew MacFadyen, Ore Gottlieb, Kunal Mooley, Cl_ement Bonnerot, and Saul Teukolsky for useful discussions. We acknowledge the Texas Advanced Computing Center (TACC) at The University of Texas at Austin for providing HPC resources that have contributed to the research results reported within this paper. This research benefited from interactions at the ZTF Theory Network Meeting, funded by the National Science Foundation under Grant No. NSF PHY-1748958. WL was supported by the David and Ellen Lee Fellowship at Caltech. The research of PB was funded by the Gordon and Betty Moore Foundation through Grant GBMF5076.
Funding AgencyGrant Number
David and Ellen Lee Postdoctoral ScholarshipUNSPECIFIED
Gordon and Betty Moore FoundationGBMF5076
Subject Keywords:relativistic processes - hydrodynamics - methods: numerical - gamma-ray bursts: general
Record Number:CaltechAUTHORS:20200824-142956853
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105084
Deposited By: Tony Diaz
Deposited On:24 Aug 2020 23:08
Last Modified:02 Jun 2023 01:05

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