Abstract
We calculate numerically the hydrodynamic evolution of a γ-ray burst fireball. The results show that refluence will emerge during fireball expansion due to negative-pressure effect. The refluence will collide with outward fluid, then shock wave will form. Electrons moving between the inward and outward fluid shells can be accelerated to 104–105 MeV by one order Femi-type acceleration with high efficiency after several collisions. Radiation of electrons with such high energy may be the observed γray bursts.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Goodman, J., Are gamma-ray bursts optically thick? Ap. J., 1986, 308: L47-L50.
Paczyfiski, B., Gamma-ray bursters at cosmological distances, Ap. J., 1986, 308: L43-L46.
Shemi Amotz, Piran Tsvi, The appearance of cosmic fireballs, Ap. J., 1990, 365: L55-L58.
Paczyński, B., Super-Eddington winds from neutmn stars, Ap. J., 1990, 363: 218–226.
Mészáros, P., Ress, M. J., Relativistic fireballs and their impact on external matte-Models for cosmological gamma-ray bursts, Ap. J., 1993, 405: 278–284.
Fenimor, E. E., Madras, C.D., Nayakshin, S., Expanding relativistic shells and gamma-ray burst temporal structure, Ap. J., 1996, 473: 998–1012.
Sari, R., Piran, T., Variability in gamma-ray bursts, Ap. J., 1997, 485: 270–273.
Paczyński, B., Xu, G., Neutrino bursts from gamma-ray bursts, Ap. J., 1994, 427: 708–713.
Ress, M. J., Mészáros, P., Unsteady oudlow models for cosmological gamma-ray bursts, Ap. J., 1994, 430: L93-L96.
Mészáros, P., Laguna, P., Ress, M. J., Gasdynamics of relativistically expanding gamma-ray burst sources-Kinematics, energetics, magnetic fields, and eficiency, Ap. J., 1993, 415: 181–190.
Piran, T., Shemi, A., Narayan, R., Hydrodynamics of relativistic fireballs, MNRAS, 1993, 263: 861–867.
Cohen, E., Piran, T., Sari, R., Fluid dynamics of semiradiative blast waves, Ap. J., 1998, 509: 717–727.
Huang, Y. F., Dai, Z. G., Wei, D.M. et al., Gamma-ray bursts: post-burst evolution of fireballs, MNRAS, 1998, 298: 459–463.
Kobayashi Shiho, Piran Tsvi, Sari Re’em, Hydrodynamics of a relativistic fireball: The complete evolution, Ap. J., 1999, 513: 669–678.
Shi Changchun, Relativistic Hydrodynamics (in Chinese), Beijing: Science Press, 1992, P207–210.
Xu Aoao, Tang Yuhua, Introduction of Cosmic Electrodynamics (in Chinese), Beijing: Higher Education Press, 1987, 96: 635.
Jiang Shuhao, Sun Qingxin, Numerical Solution to Partial Differential Equation (in Chinese), Hangzhou: Zhejiang University Press, 1985, 115–120.
Tung Zhang, Ling Hsiao, The Riemann Problem and Interaction of Wave in Gas Dynamics, Titman Monographs, Essex: Longman Scientific and Technology, 1989, 122–124.
Sedov, Self-similar Method and Dimension Theory in Mechanics (in Chinese), Beijing: Science Press, 1982, 278–280.
Cohen, E., Katz, J. L., Piran, T. et al., Possible evidence for relativistic shocks in gamma-ray bursts, Ap. J., 1997, 488: 330–337.
Schaefer, B. E., Palmer, D., Dingus, B. L. et al., Gamma-ray burst spectral shapes from 2 keV to 500 MeV, Ap. J., 1997, 492: 696–702.
Huang Yongfeng, Lu Tan, Advances in Astrophysics, 1998, 16: 330–336.
Wu Bobing, Fenimore. E., Spectral lags of gamma-ray bursts from Ginga and BATSE, Ap. J., 2000, 535: L29-L32.
You Junhan, Mechanism of Radiation in Astrophysics (in Chinese), Beijing: Science Press, 1998, 183–184.
Landu, L. D., Lifshitz, E. M., Statistic Physics, Beijing: People Education Press, 1964, 209–212.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wu, M., Tang, S., Zhang, P. et al. Femi-type acceleration of electron in γ-ray burst fireball model. Sci. China Ser. A-Math. 44, 1608–1614 (2001). https://doi.org/10.1007/BF02880801
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02880801