Hydrodynamics and Flow
arXiv:0808.2684 · doi:10.1007/978-3-642-02286-9_4
Abstract
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 collisions. In the second part we present the formalism and some fundamental aspects of relativistic ideal and viscous hydrodynamics. In the third part, we start with some basic checks of the fundamental observables followed by discussion of collective flow, in particular elliptic flow, which is one of the most exciting phenomenon in heavy ion collisions at relativistic energies. Next we discuss how to formulate the hydrodynamic model to describe dynamics of heavy ion collisions. Finally, we conclude the third part of the lecture note by showing some results from ideal hydrodynamic calculations and by comparing them with the experimental data.
40 pages, 35 figures; lecture given at the QGP Winter School, Jaipur, India, Feb.1-3, 2008; to appear in Springer Lecture Notes in Physics
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Cited by in corpus (34)
- Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
- Phenomenological Review on Quark-Gluon Plasma: Concepts vs. Observations
- Boost-invariant early time dynamics from AdS/CFT
- Dilepton emission in high-energy heavy-ion collisions with viscous hydrodynamics
- Constraint fitting of experimental data with a jet quenching model embedded in a hydrodynamical bulk medium
- Equation of state in 2+1 flavor QCD with improved Wilson quarks by the fixed scale approach
- A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
- Quark-Gluon Plasma at RHIC and the LHC: Perfect Fluid too Perfect?
- Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics-possible fate of Mach cone at the critical point-
- Eccentricity Fluctuation in Initial Conditions of Hydrodynamics
- On an exact hydrodynamic solution for the elliptic flow
- Critical net-baryon fluctuations in an expanding system
- Relativistic hydrodynamics from projection operator method
- Time-dependent AdS/CFT correspondence and the Quark-Gluon plasma
- Kinetic freeze out conditions in nuclear collisions with - GeV beam energy within a non-boost-invariant blast-wave model
- Relativistic hydrodynamical model in the presence of long-range correlations
- Can transport peak explain the low-mass enhancement of dileptons at RHIC?
- Bose-Einstein condensation of pions in proton-proton collisions at the Large Hadron Collider using non-extensive Tsallis statistics
- Probing the Frontiers of QCD
- Exploring Potential Signatures of QGP in UHECR Ground Profiles
- Nuclear cluster structure effect in O+O collisions at the top RHIC energy
- Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field
- Kelvin-Helmholz instability in high energy heavy ion collisions
- Low-mass dilepton production through transport process in quark-gluon plasma
- Relativistic Viscous Hydrodynamics for Multi-Component Systems with Multiple Conserved Currents
- Momentum dependent flow correlations in deformed nuclei at collision energies available at the BNL Relativistic Heavy Ion Collider
- Effective viscosities in a hydrodynamically expanding boost-invariant QCD plasma
- Viscous Hydrodynamic Evolution with Non-Boost Invariant Flow for the Color Glass Condensate
- Non-conformal evolution of magnetic fields during reheating
- Multiplicity fluctuation from hydrodynamic noise
- Cosmology from Strong Interactions
- A random walk with heavy flavours
- Nuclear physics at the energy frontier: recent heavy ion results from the perspective of the Electron Ion Collider
- On the soliton model of azimuthal-anisotropic elliptical flows of quark-gluon plasma and hadron jets