Simple solutions of relativistic hydrodynamics for longitudinally and cylindrically expanding systems
arXiv:nucl-th/0305059 · doi:10.1016/S0370-2693(03)00747-0
Abstract
Simple, self-similar, analytic solutions of 1 + 1 dimensional relativistic hydrodynamics are presented, generalizing the Hwa - Bjorken boost-invariant solution to inhomogeneous rapidity distributions. These solutions are generalized also to 1 + 3 dimensional, cylindrically symmetric firetubes, corresponding to central collisions of heavy ions at relativistic bombarding energies.
16 pages, 2 figures, final form, hep-ph/0203204 and 0204300 are combined, list of references to earlier works and applications is improved
References in corpus (14)
- Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
- Description of the RHIC p_T-spectra in a thermal model with expansion
- Bose-Einstein Correlations for Three-Dimensionally Expanding, Cylindrically Symmetric, Finite Systems
- Event-by-event fluctuations in hydrodynamical description of heavy-ion collisions
- Smoothed Particle Hydrodynamics for Relativistic Heavy Ion Collisions
- Bose-Einstein Correlations for Expanding Finite Systems
- Quantum Statistical Correlations for Slowly Expanding Systems
- New analytic solutions of the non-relativistic hydrodynamical equations
- Observables and initial conditions for self-similar ellipsoidal flows
- Thermal model at RHIC, part II: elliptic flow and HBT radii
- Simple solutions of fireball hydrodynamics for self-similar elliptic flows
- Generating new solutions for relativistic transverse flow at the softest point
- Analytic solution for relativistic transverse flow at the softest point
- Quantum-Statistical Correlations and Single Particle Distributions for Slowly Expanding Systems with Temperature Profile
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- Holographic Heavy-Ion Collisions: Analytic Solutions with Longitudinal Flow, Elliptic Flow and Vorticity
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- Transverse flow in relativistic viscous hydrodynamics
- Novel self-similar rotating solutions of non-ideal transverse magnetohydrodynamics
- Conformal Bjorken flow in the general frame and its attractor: Similarities and discrepancies with the Müller-Israel-Stewart formalism
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- Pseudo-rapidity distribution from a perturbative solution of viscous hydrodynamics for heavy ion collisions at RHIC and LHC
- Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs
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- Relativistic Nucleus-Nucleus Collisions: Zone of Reactions and Space-Time Structure of a Fireball
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- Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics
- Spectra, elliptic flow and azimuthally sensitive HBT radii from Buda-Lund model for sqrt(s(NN)) = 200 GeV Au+Au collisions
- Rotating solutions of nonideal transverse Chern-Simons magnetohydrodynamics and the anomalous Hall current
- Scaling properties of spectra in new exact solutions of rotating, multi-component fireball hydrodynamics
- Particle production and nonlinear diffusion in relativistic systems
- Polarized baryon production in heavy ion collisions: an analytic hydrodynamical study
- Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
- Iterative Fluiddynamics
- A hint at quark deconfinement in 200 GeV Au+Au data at RHIC
- New solutions of viscous relativistic hydrodynamics