Classical strongly coupled quark-gluon plasma. VI. Shear viscosity and self-diffusion

Sungtae Cho and Ismail Zahed
Phys. Rev. C 82, 054907 – Published 23 November 2010

Abstract

We construct the Liouville operator for the SU(2) classical colored Coulomb plasma for arbitrary values of the Coulomb coupling Γ=V/K, the ratio of the mean Coulomb to kinetic energy. We show that its resolvent in the classical colored phase space obeys a hierarchy of equations. We use a free-streaming approximation to close the hierarchy and derive an integral equation for the time-dependent structure factor. Its reduction by projection yields hydrodynamical equations in the long-wavelength limit. We discuss the character of the hydrodynamical modes at strong coupling. The shear viscosity is shown to exhibit a minimum at Γ8 near the liquid point. This minimum follows from the crossover between the single-particle collisional regime which drops as 1/Γ5/2 and the hydrodynamical collisional regime which rises as Γ1/2. The self-diffusion constant drops as 1/Γ3/2 irrespective of the regime. We compare our results to molecular-dynamics simulations of the SU(2) colored Coulomb plasma. We also discuss the relevance of our results for the quantum and strongly coupled quark-gluon plasma (sQGP).

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  • Received 10 December 2009

DOI:https://doi.org/10.1103/PhysRevC.82.054907

©2010 American Physical Society

Authors & Affiliations

Sungtae Cho and Ismail Zahed

  • Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794-3800, USA

See Also

Classical strongly coupled quark-gluon plasma. II. Screening and equation of state

Boris A. Gelman, Edward V. Shuryak, and Ismail Zahed
Phys. Rev. C 74, 044909 (2006)

Classical strongly coupled quark-gluon plasma. I. Model and molecular dynamics simulations

Boris A. Gelman, Edward V. Shuryak, and Ismail Zahed
Phys. Rev. C 74, 044908 (2006)

Classical strongly coupled quark-gluon plasma. III. The free energy

Sungtae Cho and Ismail Zahed
Phys. Rev. C 79, 044911 (2009)

Classical strongly coupled quark-gluon plasma. IV. Thermodynamics

Sungtae Cho and Ismail Zahed
Phys. Rev. C 80, 014906 (2009)

Classical strongly coupled quark-gluon plasma. V. Structure factors

Sungtae Cho and Ismail Zahed
Phys. Rev. C 82, 044905 (2010)

Classical strongly coupled quark-gluon plasma. VII. Energy loss

Sungtae Cho and Ismail Zahed
Phys. Rev. C 82, 064904 (2010)

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Vol. 82, Iss. 5 — November 2010

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