Instability of relativistic shock waves: Numerical study on the basis of model equation of state. (January 2019)

• Record Type: Journal Article
• Authors: Konyukhov, A V; Likhachev, A P; Levashov, P R; Iosilevskiy, I L
• Is Part Of: Journal of physics. Volume 1147(2019)
• Publication Date: 2019-01
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1147/1/012024
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: The behavior of unstable relativistic shock waves is studied with the use of specially developed model equation of state (EOS). The EOS admits the Taub-Hugoniot adiabats with segments on which the criteria of the relativistic shock wave stability are violated. The instability segments are overlapped by the regions with ambiguous representation of the shock-wave discontinuity. The simulations are fulfilled for L < − 1 and L > (1 + 2M + v 0 v 1 )/(1 − v 0 v 1 ) instability conditions, where L is relativistic analog of Dyakov parameter, M is post-shock Mach number, v 0 and v 1 are pre- and post-shock velocities in the shock attached reference frame. Under the condition of ambiguous representation of the shock-wave discontinuity in the former case the splitting of the unstable shock with formation of a composite compression wave with Lorentz factor dependent structure is observed. It is shown that the latter condition leads to two-dimensional non-stationary solutions characterized by presence of strong transverse waves.