A New Family of Simple Solutions of Perfect Fluid Hydrodynamics

Abstract

A new class of accelerating, exact and explicit solutions of relativistic hydrodynamics is found - more than 50 years after the previous similar result, the Landau-Khalatnikov solution. Surprisingly, the new solutions have a simple form, that generalizes the renowned, but accelerationless, Hwa-Bjorken solution. These new solutions take into account the work done by the fluid elements on each other, and work not only in one temporal and one spatial dimensions, but also in arbitrary number of spatial dimensions. They are applied here for an advanced estimation of initial energy density and life-time of the reaction in ultra-relativistic heavy ion collisions.

10 pages, 5 figures. EOS is generalized to include a bag constant, clarity of the presentation is improved and a misprinted label is corrected in Fig. 2.a

References in corpus (2)

• Scaling properties of azimuthal anisotropy in Au+Au and Cu+Cu collisions at sqrt(s_NN) = 200 GeV
• A Co-moving Coordinate System for Relativistic Hydrodynamics

Cited by in corpus (23)

• Landau Hydrodynamics Reexamined
• Unified description of Bjorken and Landau 1+1 hydrodynamics
• Entropy flow of a perfect fluid in (1+1) hydrodynamics
• Dynamics of QCD Matter -- current status
• Initial energy density of $\sqrt{s}=$ 7 and 8 TeV p+p collisions at the LHC
• Interplay among the azimuthally dependent HBT radii and the elliptic flow
• Analytical Solutions of Landau (1+1)-Dimensional Hydrodynamics
• The "ripples" on relativistically expanding fluid
• Exact (1+1)-dimensional flows of a perfect fluid
• Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
• New exact solutions of relativistic hydrodynamics
• Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs
• Family of New Exact Solutions for Longitudinally Expanding Ideal Fluids
• Klein-Gordon Equation in Hydrodynamical Form
• A description of pseudorapidity distributions in p-p collisions at center-of-mass energy from 23.6 to 900 GeV
• Accelerating longitudinal expansion of resistive relativistic-magneto-hydrodynamics in heavy ion collisions
• Describing the Thermal Radiation in $Au+Au$ Collisions at $\sqrt{s_{NN}}=$200 GeV by an Analytic Solution of Relativistic Hydrodynamics
• Iterative Fluiddynamics
• Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
• Scaling behaviour of $dN/dy$ in high-energy collisions
• Finite-Density Dynamics of Chemically Equilibrating QGP in Conformal Gubser Flow and Hard Thermal Photon Production
• Mini-jet Clustering Algorithm Using Transverse-momentum Seeds in High-energy Nuclear Collisions
• A description of pseudorapidity distributions of charged particles produced in Au+Au collisions at RHIC energies