Ellipsoidal flows in relativistic hydrodynamics of finite systems

Abstract

A new class of 3D anisotropic analytic solutions of relativistic hydrodynamics with constant pressure is found. We analyse, in particular, solutions corresponding to ellipsoidally symmetric expansion of finite systems into vacuum. They can be utilized for relativistic description of the system evolution in thermodynamic region near the softest point and at the final stage of the hydrodynamic expansion in A+A collisions. The solutions can be used also for testing of numerical hydrodynamic codes solving relativistic hydrodynamic equations for anisotropic expansion of finite systems

7 pages, talk given at RHIC school 2004 (Budapest, december 2004)

References in corpus (4)

• Simple solutions of relativistic hydrodynamics for systems with ellipsoidal symmetry
• Reconstruction of Hadronization Stage in Pb+Pb Collisions at 158A GeV/c
• Simple solutions of fireball hydrodynamics for self-similar elliptic flows
• Thermal description of transverse-momentum spectra at RHIC

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• Interplay among the azimuthally dependent HBT radii and the elliptic flow
• Exact Relativistic Ideal Hydrodynamical Solutions in (1+3)D with Longitudinal and Transverse Flows
• On Analytic Solutions of (1+3)D Relativistic Ideal Hydrodynamic Equations
• Similar final states from different initial states using new exact solutions of relativistic hydrodynamics
• A MUSTA-FORCE algorithm for solving partial differential equations of relativistic hydrodynamics