Shear viscosity of nuclear matter

Abstract

Shear viscosity $\eta$ is calculated for the nuclear matter described as a system of interacting nucleons with the van der Waals (VDW) equation of state. The Boltzmann-Vlasov kinetic equation is solved in terms of the plane waves of the collective overdamped motion. In the frequent-collision regime, the shear viscosity depends on the particle-number density $n$ through the mean-field parameter $a$, which describes attractive forces in the VDW equation. In the temperature region $T=15-40$~MeV, a ratio of the shear viscosity to the entropy density $s$ is smaller than 1 at the nucleon number density $n=(0.5-1.5)n_0^{}$, where $n_0^{}=0.16$fm${}^{-3}$ is the particle density of equilibrium nuclear matter at zero temperature. A minimum of the $\eta /s$ ratio takes place somewhere in a vicinity of the critical point of the VDW system. Large values of $\eta /s\gg 1$ are, however, found in both the low-density, $n\ll n_0^{}$, and high-density, $n>2n_0^{}$, regions. This makes the ideal hydrodynamic approach inapplicable for these densities.

arXiv comment12 pages, 5 figures

References in corpus (11)

• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Viscous relaxation and collective oscillations in a trapped Fermi gas near the unitarity limit
• Van der Waals Equation of State with Fermi Statistics for Nuclear Matter
• Viscosity in the excluded volume hadron gas model
• Quasiparticle Theory of Transport Coefficients for Hadronic Matter at Finite Temperature and Baryon Density
• Shear Viscosities from the Chapman-Enskog and the Relaxation Time Approaches
• Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity
• A Continuum Description of Rarefied Gas Dynamics (I)--- Derivation From Kinetic Theory
• Higher-order Continuum Approximation for Rarefied Gases
• Collisional relaxation of collective motion in a finite Fermi liquid
• Non-Markovian Collision Integral in Fermi-systems

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