TY  - JOUR
A1  - Tinti, Leonardo
A1  - Vujanovic, Gojko
A1  - Noronha, Jorge
A1  - Heinz, Ulrich
T1  - A resummed method of moments for the relativistic hydrodynamic expansion
T2  - Nuclear physic. A, Nuclear and hadronic physics
N2  - The relativistic method of moments is one of the most successful approaches to extract second order viscous hydrodynamics from a kinetic underlying background. The equations can be systematically improved to higher order, and they have already shown a fast convergence to the kinetic results. In order to generalize the method we introduced long range effects in the form of effective (medium dependent) masses and gauge (coherent) fields. The most straightforward generalization of the hydrodynamic expansion is problematic at higher order. Instead of introducing an additional set of approximations, we propose to rewrite the series in terms of moments resumming the contributions of infinite non-hydrodynamics modes. The resulting equations are are consistent with hydrodynamics and well defined at all order. We tested the new approximation against the exact solutions of the Maxwell-Boltzmann-Vlasov equations in (0 + 1)-dimensions, finding a fast and stable convergence to the exact results.
KW  - relativistic heavy-ion collisions
KW  - electro-magnetic plasma
KW  - viscous hydrodynamics
KW  - Boltzmann-Vlasov equation
KW  - RHIC
KW  - LHC
Y1  - 2019
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/77626
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-776260
SN  - 0375-9474
VL  - 982
SP  - 919
EP  - 922
PB  - Elsevier
CY  - Amsterdam
ER  -