# Molecular dynamics description of an expanding $q$/$\bar{q}$ plasma with the Nambu--Jona-Lasinio model and applications to heavy ion collisions at RHIC and LHC energies

Abstract : We present a relativistic molecular dynamics approach based on the Nambu--Jona-Lasinio Lagrangian. We derive the relativistic time evolution equations for an expanding plasma, discuss the hadronization cross section and how they act in such a scenario. We present in detail how one can transform the time evolution equation to a simulation program and apply this program to study the expansion of a plasma created in experiments at RHIC and LHC. We present first results on the centrality dependence of $v_2$ and of the transverse momentum spectra of pions and kaons and discuss in detail the hadronisation mechanism.
Document type :
Journal articles
Domain :

http://hal.in2p3.fr/in2p3-00805084
Contributor : Sylvie Flores <>
Submitted on : Wednesday, March 27, 2013 - 7:52:59 AM
Last modification on : Tuesday, November 27, 2018 - 3:08:48 PM

### Citation

R. Marty, Jörg Aichelin. Molecular dynamics description of an expanding $q$/$\bar{q}$ plasma with the Nambu--Jona-Lasinio model and applications to heavy ion collisions at RHIC and LHC energies. Physical Review C, American Physical Society, 2013, 87, pp.034912. ⟨10.1103/PhysRevC.87.034912⟩. ⟨in2p3-00805084⟩

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