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A One-Dimensional Relativistic Shock Model for the Light Curve of Gamma-ray Bursts
作者姓名:Cheng-Yue Su  Yi-Ping Qin  Jun-Hui Fan and Zhang-Yu Han National Astronomical Observatories/Yunnan Observatory  Chinese Academy of Sciences  Kunming  Graduate School of Chinese Academy of Sciences  Beijing
作者单位:Cheng-Yue Su,Yi-Ping Qin,Jun-Hui Fan and Zhang-Yu Han National Astronomical Observatories/Yunnan Observatory,Chinese Academy of Sciences,Kunming 650011; Graduate School of Chinese Academy of Sciences,Beijing 100049 Department of Physics,Guangdong University of Technology,Guangzhou 530004 Center for Astrophysics,Guangzhou University,Guangzhou 510400 Department of Mechanics,University of Science and Technology of China,Hefei 230026
基金项目:Supported by the National Natural Science Foundation of China.
摘    要:We investigate the forming of gamma-ray burst pulses with a simple one-dimensional relativistic shock model. The mechanism is that a "central engine" drives forward the nearby plasma inside the fireball to generate a series of pressure waves. We give a relativistic geometric recurrence formula that connects the time when the pressure waves are produced and the time when the corresponding shocks occurred. This relation enables us to relate the pulse magnitude with the observation time. Our analysis shows that the evolution of the pressure waves leads to a fast rise and an exponential decay pulses. In determining the width of the pulses, the acceleration time is more important than that of the deceleration.

关 键 词:gamma-ray:  bursts—profiles—hydrodynamics—shock  waves—methods:  numerical

A One-Dimensional Relativistic Shock Model for the Light Curve of Gamma-ray Bursts
Cheng-Yue Su,Yi-Ping Qin,Jun-Hui Fan and Zhang-Yu Han National Astronomical Observatories/Yunnan Observatory,Chinese Academy of Sciences,Kunming , Graduate School of Chinese Academy of Sciences,Beijing .A One-Dimensional Relativistic Shock Model for the Light Curve of Gamma-ray Bursts[J].Chinese Journal of Astronomy and Astrophysics,2006,6(3):323-330.
Authors:Cheng-Yue Su  Yi-Ping Qin  Jun-Hui Fan  Zhang-Yu Han
Institution:[1]National Astronomical Observatories/Yunnan Observatory, Chinese Academy of Sciences, Kunming 650011 [2]Graduate School of Chinese Academy of Sciences, Beijing 100049 [3]Department of Physics, Guangdong University of Technology, Guangzhou 530004 [4]Center for Astrophysics, Guangzhou University, Guangzhou 510400 [5]Department of Mechanics, Unwersity of Science and Technology of China, Hefei 230026
Abstract:We investigate the forming of gamma-ray burst pulses with a simple one-dimensional relativistic shock model. The mechanism is that a "central engine" drives forward the nearby plasma inside the fireball to generate a series of pressure waves. We give a relativistic geometric recurrence formula that connects the time when the pressure waves are produced and the time when the corresponding shocks occurred. This relation enables us to relate the pulse magnitude with the observation time. Our analysis shows that the evolution of the pressure waves leads to a fast rise and an exponential decay pulses. In determining the width of the pulses, the acceleration time is more important than that of the deceleration.
Keywords:gamma-ray: bursts - profiles - hydrodynamics - shock waves - methods:numerical
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