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A system of equations for anisotropic hydrodynamics is derived that describes a mixture of anisotropic quark and gluon fluids. The consistent treatment of the zeroth, first and second moments of the kinetic equations allows us to construct…

Nuclear Theory · Physics 2015-12-02 Wojciech Florkowski , Ewa Maksymiuk , Radoslaw Ryblewski , Leonardo Tinti

In this lecture note, we present several topics on relativistic hydrodynamics and its application to relativistic heavy ion collisions. In the first part we give a brief introduction to relativistic hydrodynamics in the context of heavy ion…

Nuclear Theory · Physics 2015-05-13 Tetsufumi Hirano , Naomi van der Kolk , Ante Bilandzic

The collision of a plane parallel shock wave with a plane parallel cloud of uniform density is analysed for the case in which magnetic fields and radiative losses are not considered. General analytic solutions are discussed for the case in…

Fluid Dynamics · Physics 2007-05-23 S. Mendoza

Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high…

High Energy Physics - Theory · Physics 2018-01-19 Paul Romatschke

Anisotropic-hydrodynamics framework is used to describe a mixture of quark and gluon fluids. The effects of quantum statistics, finite quark mass, and finite baryon number density are taken into account. The results of anisotropic…

Nuclear Theory · Physics 2018-01-24 Wojciech Florkowski , Ewa Maksymiuk , Radoslaw Ryblewski

A spherical blast wave with relativistic velocity can be described by a similarity solution, that is used for theoretical models of gamma-ray bursts. We consider the linear stability of such a relativistic blast wave propagating into a…

Astrophysics · Physics 2009-10-31 Jun Ogura , Yasufumi Kojima

Due to the rapid longitudinal expansion of the quark-gluon plasma created in relativistic heavy ion collisions, potentially large local rest frame momentum-space anisotropies are generated. The magnitude of these momentum-space anisotropies…

Nuclear Theory · Physics 2013-02-01 Wojciech Florkowski , Mauricio Martinez , Radoslaw Ryblewski , Michael Strickland

Non-stationary Euler flows of gases are studied. The system of differential equations describing such flows can be represented by means of 2-forms on zero-jet space and we get some exact solutions by means of such a representation.…

Mathematical Physics · Physics 2020-04-13 Valentin Lychagin , Mikhail Roop

Low angular momentum accretion flows can have standing and oscillating shock waves. We study the region of the parameter space in which multiple sonic points occur in viscous flows in presence of various cooling effects such as…

Astrophysics · Physics 2016-08-30 Santabrata Das , Sandip K. Chakrabarti

For an accurate treatment of the shock wave propagation in high-energy astrophysical phenomena, such as supernova shock breakouts, gamma-ray bursts and accretion disks, knowledge of radiative transfer plays a crucial role. In this paper we…

High Energy Astrophysical Phenomena · Physics 2016-03-01 Alexey Tolstov , Sergey Blinnikov , Shigehiro Nagataki , Ken'ichi Nomoto

We study the causality and stability of relativistic hydrodynamics with the inclusion of the spin degree of freedom as a hydrodynamic field. We consider two specific models of spin-hydrodynamics for this purpose. A linear mode analysis for…

Nuclear Theory · Physics 2023-03-27 Golam Sarwar , Md Hasanujjaman , Jitesh R. Bhatt , Hiranmaya Mishra , Jan-e Alam

We investigate relativistic flows after a shock wave generated in a star arrives at the surface. First, the sphericity effect is involved through a successive approximation procedure by adding correction terms to an already known…

Astrophysics · Physics 2008-11-26 Reina Kikuchi , Toshikazu Shigeyama

We investigate the effects of anisotropy on dispersion relations and convergence in relativistic hydrodynamics. In particular, we show that for dispersion relations with a branch point at the origin (such as sound modes), there exists a…

High Energy Physics - Theory · Physics 2026-01-01 Raphael E. Hoult

Dynamics of a charged relativistic particle in a uniform magnetic field and an obliquely propagating electrostatic shock wave is considered. The system is reduced to a two degrees of freedom Hamiltonian system with slow and fast variables.…

Plasma Physics · Physics 2007-05-23 A. A. Vasiliev

Using the conservation laws for charge, energy, momentum, and angular momentum, we derive hydrodynamic equations for the charge density, local temperature, and fluid velocity, as well as for the spin tensor, starting from local equilibrium…

Nuclear Theory · Physics 2018-04-18 Wojciech Florkowski , Bengt Friman , Amaresh Jaiswal , Enrico Speranza

Geometrical shock dynamics, also called CCW theory, yields approximate equations for shock propagation in which only the conditions at the shock appear explicitly; the post-shock flow is presumed approximately uniform and enters implicitly…

Astrophysics · Physics 2015-05-13 Jeremy Goodman , Andrew I. MacFadyen

This note studies a model for relativistic pure-radiation fluids with viscosity that was recently proposed by Bemfica, Disconzi and Noronha, and shows that there are shock waves whose continuous shock profiles, if existing, are oscillating…

Analysis of PDEs · Mathematics 2023-01-30 Valentin Pellhammer

Non-additive generalisation of relativistic anisotropic anisotropic hydrodynamics is described. In the particular case of 0+1 boost-invariant hydrodynamics additional entropy production due to non-additivity is calculated.

Nuclear Theory · Physics 2021-05-12 A. V. Leonidov

In cosmological first-order phase transitions, gravitational waves are generated by the collisions of bubble walls and by the bulk motions caused in the fluid. A sizeable signal may result from fast-moving walls. In this work we study the…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-16 Leonardo Leitao , Ariel Megevand

A new hydrodynamic framework for particles with spin 1/2, based solely on the conservation laws for charge, energy, momentum and angular momentum, is discussed.

High Energy Physics - Phenomenology · Physics 2017-08-15 Wojciech Florkowski , Bengt Friman , Amaresh Jaiswal , Enrico Speranza