Shear Viscosity of a strongly interacting system: Green-Kubo vs. Chapman-Enskog and Relaxation Time Approximation

The shear viscosity has been calculated by using the Green-Kubo relation in the framework of a partonic transport approach solved at cascade level. We compare the numerical results for obtained from the Green-Kubo correlator with the analytical formulas in both the Relaxation Time Approximation (RTA) and the Chapman-Enskog approximation (CE). We investigate and emphasize the dierences between the isotropic and anisotropic cross sections and between the massless and massive particles. We show that in the range of temperature explored in a Heavy Ion collision and for pQCD-like cross section the RTA signicantly underestimates the viscosity by about a factor of 2-3, while a good agreement is found between the CE approximation and GreeKubo relation already at rst order of approximation. The agreement with the CE approximation supplies an analytical formula that allows to develop kinetic transport theory at xed shear viscosity to entropy density ratio, =s . This open the possibility to explore dissipative non-equilibrium evolution of the distribution functions vs T-dependent =s and particle momenta in the dynamics of the Quark-Gluon Plasma created in ultra-relativistic heavy-ion collisions.

• Publication year

  2012

• Venue

  Physical Review C

• Publication date

  2012-08-02

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevC.86.054902arXiv 1208.0481
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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