Sound waves and solitons in hot and dense nuclear matter
arXiv:0801.3938 · doi:10.1016/j.nuclphysa.2009.01.007
Abstract
Assuming that nuclear matter can be treated as a perfect fluid, we study the propagation of perturbations in the baryon density. The equation of state is derived from a relativistic mean field model, which is a variant of the non-linear Walecka model. The expansion of the Euler and continuity equations of relativistic hydrodynamics around equilibrium configurations leads to differential equations for the density fluctuations. We solve them numerically for linear and spherical perturbations and follow the time evolution of the initial pulses. For linear perturbations we find single soliton solutions and solutions with one or more solitons followed by radiation. Depending on the equation of state a strong damping may occur. Spherical perturbations are strongly damped and almost do not propagate. We study these equations also for matter at finite temperature. Finally we consider the limiting case of shock wave formation.
arXiv comment28 pages, 8 figures
References in corpus (30)
- Radial and elliptic flow at RHIC: further predictions
- Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV
- Elliptic flow in Au+Au collisions at sqrt(s_NN) = 130 GeV
- Distributions of Charged Hadrons Associated with High Transverse Momentum Particles in pp and Au+Au Collisions at sqrt(s_NN)=200 GeV
- A Chiral Effective Lagrangian for Nuclei
- Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
- Modifications to Di-Jet Hadron Pair Correlations in Au+Au Collisions at sqrt(s_NN) = 200 GeV
- Relativistic hydrodynamics for heavy-ion collisions
- Dissipative hydrodynamics for viscous relativistic fluids
- Topics on Hydrodynamic Model of Nucleus-Nucleus Collisions
- Relativistic Point-Coupling Models as Effective Theories of Nuclei
- Chiral approach to nuclear matter: Role of two-pion exchange with virtual delta-isobar excitation
- Mach shocks induced by partonic jets in expanding quark-gluon plasma
- Mach cones in an evolving medium
- Hydrodynamics Near a Chiral Critical Point
- Parameter Counting in Relativistic Mean-Field Models
- Hydrodynamics at RHIC -- how well does it work, where and how does it break down?
- Nuclear energy density functional from chiral pion-nucleon dynamics
- Variational Principle for Relativistic Fluid Dynamics
- Next Generation Relativistic Models
- The rapidity structure of Mach cones and other large angle correlations in heavy-ion collisions
- Charge diffusion constant in hot and dense hadronic matter - A Hadro-molecular-dynamic calculation
- Solitons in relativistic mean field models
- Exploring the nucleus in the context of low-energy QCD
- Korteweg - de Vries solitons in relativistic hydrodynamics
- A Calculation of Baryon Diffusion Constant in Hot and Dense Hadronic Matter Based on an Event Generator URASiMA
- Soliton propagation in relativistic hydrodynamics
- Mach Cones and Hydrodynamic Flow: Probing Big Bang Matter in the Laboratory
- Building Atomic Nuclei with the Dirac Equation
- Nucleons and nuclei in the context of low-energy QCD
Cited by in corpus (13)
- Information-entropic analysis of Korteweg--de Vries solitons in the quark-gluon plasma
- KdV solitons in a cold quark gluon plasma
- Some intriguing aspects of multiparticle production processes
- Non-linear waves in a Quark Gluon Plasma
- Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics
- Viscosity, wave damping and shock wave formation in cold hadronic matter
- Compact stars with strongly coupled quark matter in a strong magnetic field
- Temperature oscillations and sound waves in hadronic matter
- Waves in magnetized quark matter
- On the radial expansion of tubular structures in a quark gluon plasma
- Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma
- Point-Coupling Models from Mesonic Hypermassive Limit and Mean-Field Approaches
- Sound waves in hadronic matter