Dynamics and Stability of Chiral Fluid
arXiv:1401.4103 · doi:10.1134/S1063778814090063
Abstract
Starting from the linear sigma model with constituent quarks we derive the chiral fluid dynamics where hydrodynamic equations for the quark fluid are coupled to the equation of motion for the order-parameter field. In a static system at thermal equilibrium this model leads to a chiral phase transition which, depending on the choice of the quark-meson coupling constant, could be a crossover or a first order one. We investigate the stability of the chiral fluid in the static and expanding backgrounds by considering the evolution of perturbations with respect to the mean-field solution. In the static background the spectrum of plane-wave perturbations consists of two branches, one corresponding to the sound waves and another to the sigma-meson excitations. For large couplings these two branches "cross" and the excitation spectrum acquires exponentially growing modes. The stability analysis is also done for the Bjorken-like background solution by explicitly solving the time-dependent differential equation for perturbations in the eta-space. In this case the growth rate of unstable modes is significantly reduced.
29 pages, 10 figures, to be published in the special issue of "Physics of Atomic Nuclei" dedicated to 90-th birthday of Prof. Spartak Belyaev
References in corpus (13)
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Parton transport and hadronization from the dynamical quasiparticle point of view
- Stability and Causality in relativistic dissipative hydrodynamics
- Spinodal amplification of density fluctuations in fluid-dynamical simulations of relativistic nuclear collisions
- Origins of Bulk Viscosity at RHIC
- Initial condition for hydrodynamics, partonic free streaming, and the uniform description of soft observables at RHIC
- Bulk Viscosity driven clusterization of quark-gluon plasma and early freeze-out in relativistic heavy-ion collisions
- Instability of Boost-invariant hydrodynamics with a QCD inspired bulk viscosity
- Chiral fluid dynamics with explicit propagation of the Polyakov loop
- Phase conversion in a weakly first-order quark-hadron transition
- Bulk Viscosity and Relaxation Time of Causal Dissipative Relativistic Fluid Dynamics
- Longitudinal fluid dynamics for ultrarelativistic heavy-ion collisions
- Hydrodynamical instabilities in an expanding quark gluon plasma