Collective modes and instabilities in anisotropically expanding ultarelativistic plasmas
arXiv:0912.5383 · doi:10.1103/PhysRevD.81.085044
Abstract
The time evolution of collective modes in an expanding ultarelativistic and (effectively) Abelian plasma is studied in the hard-loop approximation semi-analytically by means of integro-differential equations. A previous treatment is generalized to arbitrary orientation of wave vectors with respect to the direction of anisotropy and thus to a fully 3+1 dimensional situation. Moreover, initial fluctuations are allowed in both gauge fields and currents, which is necessary in the case of (stable) longitudinal modes. For unstable (Weibel) modes, this generalization of initial conditions reduces drastically the lower bound on the delay in the onset of growth that was found previously by considering only collective gauge fields as seeds. This makes it appear much more likely that non-Abelian plasma instabilities seeded by small initial rapidity fluctuations could play an important role in the early stage of heavy-ion collisions at LHC energies.
REVTEX, 28 pages, 11 figures. v2: version to appear in Phys. Rev. D (figures relabelled, minor improvements in text)
References in corpus (14)
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
- Physics of Strongly coupled Quark-Gluon Plasma
- Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
- Anomalous Viscosity of an Expanding Quark-Gluon Plasma
- Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations
- Turbulence in nonabelian gauge theory
- Plasma Instabilities in an Anisotropically Expanding Geometry
- Non-abelian plasma instabilities for strong anisotropy
- Ultraviolet avalanche in anisotropic non-Abelian plasmas
- A model of the effect of collisions on QCD plasma instabilities
- Non-Abelian Plasma Instabilities for Extreme Anisotropy
- On Kolmogorov Wave Turbulence in QCD
- Fermionic Collective Modes of an Anisotropic Quark-Gluon Plasma
Cited by in corpus (29)
- Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
- Perturbative Thermal QCD: Formalism and Applications
- Color Glass Condensate and Glasma
- Role of quantum fluctuations in a system with strong fields: Onset of hydrodynamical flow
- Instabilities of an anisotropically expanding non-Abelian plasma: 3D+3V discretized hard-loop simulations
- Non-Abelian plasma instabilities: SU(3) vs. SU(2)
- Nonlinear amplification of instabilities with longitudinal expansion
- Fluctuations of the initial color fields in high energy heavy ion collisions
- Instability induced pressure isotropization in a longitudinally expanding system
- The non-linear Glasma
- Probing Two Holographic Models of Strongly Coupled Anisotropic Plasma
- Color Glass Condensate and Glasma
- Chiral instabilities & the onset of chiral turbulence in QED plasmas
- Simulating collisions of thick nuclei in the color glass condensate framework
- EMMI Rapid Reaction Task Force on "Thermalization in Non-abelian Plasmas"
- A hydrodynamic approach to boost invariant free streaming
- Initial state and thermalization in the Color Glass Condensate framework
- Perturbative and Nonperturbative Kolmogorov Turbulence in a Gluon Plasma
- Kinetic evolution of the glasma and thermalization in heavy ion collisions
- Effective dynamics of a nonabelian plasma out of equilibrium
- Chromoelectric oscillations in a dynamically evolving anisotropic background
- Quasinormal modes of a semi-holographic black brane and thermalization
- Probes of the quark-gluon plasma and plasma instabilities
- Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma
- A Hydrodynamic Approach to the Study of Anisotropic Instabilities in Dissipative Relativistic Plasmas
- Thermodynamics and phase diagram of anisotropic Chern-Simons deformed gauge theories
- A hydrodynamic approach to QGP instabilities
- Longitudinal thermalization via the chromo-Weibel instability
- Unstable dynamics of Yang-Mills fields at early times of heavy ion collisions