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

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.054907· OSTI ID:21499205

Cho, Sungtae; Zahed, Ismail ^[1]

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1. Department of Physics and Astronomy, State University of New York, Stony Brook, New York 11794-3800 (United States)

We construct the Liouville operator for the SU(2) classical colored Coulomb plasma for arbitrary values of the Coulomb coupling {Gamma}=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 {Gamma}{approx_equal}8 near the liquid point. This minimum follows from the crossover between the single-particle collisional regime which drops as 1/{Gamma}{sup 5/2} and the hydrodynamical collisional regime which rises as {Gamma}{sup 1/2}. The self-diffusion constant drops as 1/{Gamma}{sup 3/2} 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).

• OSTI ID: 21499205
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 82, Issue 5; Other Information: DOI: 10.1103/PhysRevC.82.054907; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOLTZMANN-VLASOV EQUATION
COMPARATIVE EVALUATIONS
COUPLING
INTEGRAL EQUATIONS
KINETIC ENERGY
MOLECULAR DYNAMICS METHOD
PARTICLES
PHASE SPACE
PLASMA
QUARK MATTER
SELF-DIFFUSION
SIMULATION
STRONG-COUPLING MODEL
STRUCTURE FACTORS
SU-2 GROUPS
TIME DEPENDENCE
VISCOSITY
WAVELENGTHS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DIFFUSION
DIMENSIONLESS NUMBERS
ENERGY
EQUATIONS
EVALUATION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
SPACE
SU GROUPS
SYMMETRY GROUPS