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WS18/19 – Abstract
Eduardo Grossi
(ITP Heidelberg)
15.11.2018
Fluid dynamics of heavy ion collisions with Mode expansion (PRETALK for students at 15:30 h)
Fluid dynamic is very successful model of the non equilibrium evolution of ultra relativistic heavy ion collision. The fluid dynamics of a relativistic fireball with longitudinal and transverse expansion is described using a background-fluctuation splitting. Symmetry representations of azimuthal rotations and longitudinal boosts are used for a classification of initial state configurations and their fluid dynamic propagation in terms of a mode expansion. The hyperbolic structure of dissipative relativistic fluid equations is the key ingredient to study causality for an heavy ion collision and this poses a bound on the applicability of relativistic fluid dynamics itself. We develop an accurate and efficient numerical scheme based on the pseudo-spectral method to solve the resulting hyperbolic partial differential equations. Comparison to the analytically known Gubser solution underlines the high accuracy of this technique. We also present first applications to central heavy ion collisions at the LHC energies featuring a realistic thermodynamic equations of state as well as shear and bulk viscous dissipation.
