Linear Stability of Shock Waves in Ultrarelativistic Anisotropic Hydrodynamics
arXiv:2304.01653 · doi:10.1140/epjc/s10052-023-11904-1
Abstract
Linear stability of a plane shock waves in ultrarelativistic anisotropic hydrodynamics is investigated. The properties of the amplitudes of perturbations of physical quantities are studied depending on the components of the wave vector of a small harmonic perturbation. Analytical calculationsfor the longitudinal and transverse propagation of shock wave normal with respect to the anisotropy axis (beam-axis) and numerical calculations for an arbitrary polar angle are carried out.
arXiv comment26 pages, 3 figures
References in corpus (23)
- New Developments in Relativistic Viscous Hydrodynamics
- Collective Modes of an Anisotropic Quark-Gluon Plasma
- Dissipative Dynamics of Highly Anisotropic Systems
- Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
- Dissipative Hydrodynamics and Heavy Ion Collisions
- Collective modes of an Anisotropic Quark-Gluon Plasma II
- Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
- Anisotropic Hydrodynamics for Rapidly Expanding Systems
- Anisotropic Hydrodynamics: Three lectures
- Mach shocks induced by partonic jets in expanding quark-gluon plasma
- Relativistic anisotropic hydrodynamics
- Relativistic shock waves in viscous gluon matter
- Hot Spots and Turbulent Initial Conditions of Quark-Gluon Plasmas in Nuclear Collisions
- Highly-anisotropic and strongly-dissipative hydrodynamics with transverse expansion
- Anisotropic hydrodynamics for conformal Gubser flow
- Anisotropic hydrodynamic modeling of 2.76 TeV Pb-Pb collisions
- Anisotropic fluid dynamics for Gubser flow
- Highly anisotropic hydrodynamics -- discussion of the model assumptions and forms of the initial conditions
- Mach Cones in Quark Gluon Plasma
- A hydrodynamic approach to boost invariant free streaming
- Shock Waves in Relativistic Anisotropic Hydrodynamics
- Sound propagation and Mach cone in anisotropic hydrodynamics
- Anisotropic hydrodynamic modeling of heavy-ion collisions at LHC and RHIC