Unified description of Bjorken and Landau 1+1 hydrodynamics
arXiv:0706.2108 · doi:10.1103/PhysRevC.76.054901
Abstract
We propose a generalization of the Bjorken in-out Ansatz for fluid trajectories which, when applied to the (1+1) hydrodynamic equations, generates a one-parameter family of analytic solutions interpolating between the boost-invariant Bjorken picture and the non boost-invariant one by Landau. This parameter characterises the proper-time scale when the fluid velocities approach the in-out Ansatz. We discuss the resulting rapidity distribution of entropy for various freeze-out conditions and compare it with the original Bjorken and Landau results.
arXiv comment20 pages, 5 figures
References in corpus (12)
- Hydrodynamic Models for Heavy Ion Collisions
- Asymptotic perfect fluid dynamics as a consequence of AdS/CFT
- Charged Meson Rapidity Distributions in central Au+Au Collisions at sqrt(s_nn) = 200 GeV
- The centrality dependence of elliptic flow, the hydrodynamic limit, and the viscosity of hot QCD
- Elliptic flow and incomplete equilibration at RHIC
- Flow systematics from SIS to SPS energies
- A New Family of Simple Solutions of Perfect Fluid Hydrodynamics
- Multihadron production features in different reactions
- Hydrodynamics of nuclear collisions with initial conditions from perturbative QCD
- Landau Hydrodynamics and RHIC Phenomena
- Longitudinal fluid dynamics for ultrarelativistic heavy-ion collisions
- A Co-moving Coordinate System for Relativistic Hydrodynamics
Cited by in corpus (45)
- Landau Hydrodynamics Reexamined
- Relating multihadron production in hadronic and nuclear collisions
- Entropy flow of a perfect fluid in (1+1) hydrodynamics
- Holographic Heavy-Ion Collisions: Analytic Solutions with Longitudinal Flow, Elliptic Flow and Vorticity
- Exact solutions of relativistic perfect fluid hydrodynamics for a QCD equation of state
- Exact analytical solutions of second-order conformal hydrodynamics
- A systematic study of exact solutions in second-order conformal hydrodynamics
- Dynamics of QCD Matter -- current status
- Observables from a solution of 1+3 dimensional relativistic hydrodynamics
- Equation of state and initial temperature of quark gluon plasma at RHIC
- Initial energy density of 7 and 8 TeV p+p collisions at the LHC
- Multipole solution of hydrodynamics and higher order harmonics
- New simple explicit solutions of perfect fluid hydrodynamics and phase-space evolution
- A new family of exact and rotating solutions of fireball hydrodynamics
- A description of the pseudorapidity distributions in heavy ion collisions at RHIC and LHC energies
- Gravity dual of conformal matter collisions in 1+1 dimensions
- Asymmetric 1+1-dimensional hydrodynamics in collision
- A potential including Heaviside function in 1+1 dimensional hydrodynamics by Landau
- Time-dependent AdS/CFT correspondence and the Quark-Gluon plasma
- New exact solutions of relativistic hydrodynamics for longitudinally expanding fireballs
- Analytical Solutions of Landau (1+1)-Dimensional Hydrodynamics
- Exact (1+1)-dimensional flows of a perfect fluid
- The "ripples" on relativistically expanding fluid
- Hydrodynamic Flow of the Quark-Gluon Plasma and Gauge/Gravity Correspondence
- Longitudinal hydrodynamic expansion and long rangle correlations
- New exact solutions of relativistic hydrodynamics
- Exact Relativistic Ideal Hydrodynamical Solutions in (1+3)D with Longitudinal and Transverse Flows
- One dimensional hydrodynamical model including phase transition
- Viscosity, non-conformal equation of state and sound velocity in Landau hydrodynamics
- On the dynamics of exotic matter: towards creation of Perpetuum Mobile of third kind
- On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations
- Family of New Exact Solutions for Longitudinally Expanding Ideal Fluids
- A description of pseudorapidity distributions in p-p collisions at center-of-mass energy from 23.6 to 900 GeV
- The pseudorapidity distributions of the produced charged particles in p-p collisions at center-of-mass energies from 23.6 to 900 GeV
- A non-boost-invariant solution of relativistic hydrodynamics in 1+3 dimensions
- Introduction to String Theory and Gauge/Gravity duality for students in QCD and QGP phenomenology
- A combined model for pseudorapidity distributions in Cu-Cu collisions at BNL-RHIC energies
- On Distributions of Emission Sources and Speed of Sound in Proton-proton (Proton-antiproton) Collisions
- A combined model for the pseudorapidity distributions in p-p collisions at center-of-mass energies from 23.6 to 7000 GeV
- Initial energy density of p+p collisions at the LHC
- Mini-jet Clustering Algorithm Using Transverse-momentum Seeds in High-energy Nuclear Collisions
- Finite-Density Dynamics of Chemically Equilibrating QGP in Conformal Gubser Flow and Hard Thermal Photon Production
- A description of pseudorapidity distributions of charged particles produced in Au+Au collisions at RHIC energies
- A description of the transverse momentum distributions of charged particles produced in heavy ion collisions at RHIC and LHC energies
- A description of transverse momentum distributions in p+p collisions at RHIC and LHC energies