Münster 2011 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 65: Schwerionenkollisionen und QCD Phasen IX
HK 65.2: Talk
Friday, March 25, 2011, 14:30–14:45, HS2
Relativistic fluid dynamics from the Boltzmann equation: A systematic derivation from the moments method — •Gabriel S. Denicol1, Harri Niemi2, Etele Molnar3, and Dirk H. Rischke1 — 1Institute for Theoretical Physics, Max von Laue-Str. 1, D-60438 Frankfurt am Main, Germany — 2Frankfurt Institute for Advanced Studies, Ruth-Moufang-Str. 1, D-60438 Frankfurt am Main, Germany — 3MTA-KFKI, Research Institute of Particle and Nuclear Physics, H-1525 Budapest, P.O.Box 49, Hungary
Relativistic fluid dynamics has been applied with success to study the hot and dense matter created in relativistic heavy-ion collisions. Despite this success, the foundations of a relativistic theory of fluid mechanics are still controversial and subject of intense investigation. One of the reasons in particular is that the relativistic extension of Navier-Stokes theory was found to be intrinsically unstable and, consequently, unphysical.
In this work, we investigate this problem in the framework of kinetic theory. We consider relativistic dilute gases which are reasonably well described by the relativistic Boltzmann equation. We propose a new and systematic approach to derive fluid dynamics from the Boltzmann equation, using the moments method. We compute all the transport coefficients and compare to previous calculations, as the one of Israel and Stewart and the one from Chapman-Enskog theory. Furthermore, we compare the solutions of our macroscopic theory to numerical solutions of the Boltzmann equation and show that they are in very good agreement.