Anisotropic fluid dynamics in the early stage of relativistic heavy-ion collisions

Abstract

A formalism for anisotropic fluid dynamics is proposed. It is designed to describe boost-invariant systems with anisotropic pressure. Such systems are expected to be produced at the early stages of relativistic heavy-ion collisions, when the timescales are too short to achieve equal thermalization of transverse and longitudinal degrees of freedom. The approach is based on the energy-momentum and entropy conservation laws, and may be regarded as a minimal extension of the boost-invariant standard relativistic hydrodynamics of the perfect fluid. We show how the formalism may be used to describe the isotropization of the system (the transition from the initial state with no longitudinal pressure to the final state with equal longitudinal and transverse pressure).

References in corpus (18)

• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• Space-time evolution of bulk QCD matter
• Apparent Thermalization due to Plasma Instabilities in Quark-Gluon Plasma
• Mass ordering of differential elliptic flow and its violation for phi mesons
• Initial condition for hydrodynamics, partonic free streaming, and the uniform description of soft observables at RHIC
• Scaling of Charged Particle Production in d+Au Collisions at sqrt(s_NN) = 200 GeV
• QCD Plasma Instabilities and Isotropization
• Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions II: Meson Spectra and HBT Radii
• Wounded quarks and diquarks in high energy collisions
• Dissipative hydrodynamics in 2+1 dimension
• Elliptic Flow from a Transversally Thermalized Fireball
• Chromo-Hydrodynamic Approach to the Unstable Quark-Gluon Plasma
• Early evolution of transversally thermalized partons
• General formulation of transverse hydrodynamics
• Isotropization and Thermalization in Heavy Ion Collisions
• Thermalization vs. Isotropization & Azimuthal Fluctuations

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