Viscosity, wave damping and shock wave formation in cold hadronic matter

Abstract

We study linear and nonlinear wave propagation in a dense and cold hadron gas and also in a cold quark gluon plasma, taking viscosity into account and using the Navier-Stokes equation. The equation of state of the hadronic phase is derived from the nonlinear Walecka model in the mean field approximation. The quark gluon plasma phase is described by the MIT equation of state. We show that in a hadron gas viscosity strongly damps wave propagation and also hinders shock wave formation. This marked difference between the two phases may have phenomenological consequences and lead to new QGP signatures.

References in corpus (14)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Hydrodynamic Modeling of Heavy-Ion Collisions
• Event-by-event anisotropic flow in heavy-ion collisions from combined Yang-Mills and viscous fluid dynamics
• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Triangular flow in event-by-event ideal hydrodynamics in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200A$ GeV
• Translation of collision geometry fluctuations into momentum anisotropies in relativistic heavy-ion collisions
• Relativistic hydrodynamics for heavy-ion collisions
• Hydrodynamics of cold atomic gases in the limit of weak nonlinearity, dispersion and dissipation
• Spinodal density enhancements in simulations of relativistic nuclear collisions
• Hydrodynamics: Fluctuating Initial Conditions and Two-particle Correlations
• Sound waves and solitons in hot and dense nuclear matter
• Korteweg - de Vries solitons in relativistic hydrodynamics
• Soliton propagation in relativistic hydrodynamics

Cited by in corpus (5)

• Bubble dynamics and the quark-hadron phase transition in nuclear collisions
• Nonlinear waves in second order conformal hydrodynamics
• Stable solitary waves in Super dense plasmas at external magnetic fields
• Waves in magnetized quark matter
• Analytical formulas for shear and bulk viscosities in relativistic gaseous mixtures with constant cross sections