Internal shocks in relativistic jets with time--dependent sources

Abstract

We present a ballistic description of the formation and propagation of the working surface of a relativistic jet. Using simple laws of conservation of mass and linear momentum at the working surface, we obtain a full description of the working surface flow parametrised by the initial velocity and mass injection rate. This allows us to compute analytically the energy release at any time in the working surface. We compare this model with the results obtained numerically through a new hydrodynamical code applied to the propagation of a relativistic fluid in one dimension in order to test the limits of our study. Finally, we compare our analytical results with observed light curves of five long gamma ray bursts and show that our model is in very good agreement with observations using simple periodic variations of the injected velocity profiles. This simple method allows us to recover initial mass discharge and energy output ejected during the burst.

7 pages, 4 figures, astrophysical applications to GRBs and substantial information added

References in corpus (12)

• The Physics of Gamma-Ray Bursts
• Unsteady Outflow Models for Cosmological Gamma-Ray Bursts
• Gamma-ray bursts from internal shocks in a relativistic wind: temporal and spectral properties
• Internal shocks in the jets of radio-loud quasars
• Power Density Spectra of Gamma-Ray Bursts in the Internal Shock Model
• A Turbulent Model of Gamma-Ray Burst Variability
• The Outburst of the Blazar AO 0235+164 in 2006 December: Shock-in-Jet Interpretation
• Deflection of jets induced by jet-cloud & jet-galaxy interactions
• Self-similar imploding relativistic shock waves
• Formation of internal shock waves in bent jets
• Interpretation of the Radio/X-ray Knots of AGN Jets within the Internal Shock Model Framework
• Gamma-ray emission of relativistic jets as a supercritical process

Cited by in corpus (9)

• Gamma Ray Burst Prompt correlations
• Improving sampling and calibration of GRBs as distance indicators
• Characterizing the time variability in magnetized neutrino--cooled accretion disks: signatures of the gamma-ray burst central engine
• A hydrodynamical model for the FERMI-LAT gamma-ray light curve of Blazar PKS1510-089
• Modeling long GRBs using a single shock with relativistic radiation hydrodynamics
• Shock Dynamics In Relativistic Jets
• Classifying initial conditions of long GRBs modeled with relativistic radiation hydrodynamics
• Understanding the light curves of the HST-1 knot in M87 with internal relativistic shock waves along its jet
• Full analytical ultrarelativistic 1D solutions of a planar working surface