Instability induced pressure isotropization in a longitudinally expanding system

Abstract

In two previous works [arXiv:1009.4363,arXiv:1107.0668], we studied the time evolution of a system of real scalar fields with quartic coupling which shares important features with the Color Glass Condensate description of heavy ion collisions. Our primary objective was to understand how such a system, when initialized with a non-perturbatively large classical field configuration, reaches thermal equilibrium. An essential goal of these works was to highlight the role played by the quantum fluctuations. However, these studies considered only a system confined within a box of fixed volume. In the present paper, we extend this work to a system that expands in the longitudinal direction thereby more closely mimicking a heavy ion collision. We conclude that the microscopic processes that drive the system towards equilibrium are able to keep up with the expansion of the system; the pressure tensor becomes isotropic despite the anisotropic expansion.

revised version to appear in PRD, new section on comparison with hydrodynamics, 32 pages, 21 figures

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• Instabilities of an anisotropically expanding non-Abelian plasma: 3D+3V discretized hard-loop simulations
• Thermalization and isotropization in heavy-ion collisions
• Fluctuations of the initial color fields in high energy heavy ion collisions
• The non-linear Glasma
• Nonequilibrium fixed points in longitudinally expanding scalar theories: infrared cascade, Bose condensation and a challenge for kinetic theory
• Color Glass Condensate and Glasma
• Non-renormalizability of the classical statistical approximation
• Pre-Equilibrium Radial Flow from Central Shock-Wave Collisions in AdS5
• Formulation of the Schwinger mechanism in classical statistical field theory
• Chiral gap effect in curved space
• Nonthermal Fixed Points in Quantum Field Theory Beyond the Weak-Coupling Limit
• Evolution to the Quark-Gluon Plasma
• Equilibration of anisotropic quark-gluon plasma produced by decays of color flux tubes
• Event-by-event viscous hydrodynamics for Cu-Au collisions at 200GeV
• Semiclassical Approximation meets Keldysh-Schwinger diagrammatic technique: Scalar ${\phi }^4$
• Effective dynamics of a nonabelian plasma out of equilibrium
• Kinetic evolution of the glasma and thermalization in heavy ion collisions
• Kinetic theory of a longitudinally expanding system of scalar particles
• On formation of equation of state of evolving quantum field
• Restricted phase-space approximation in real-time stochastic quantization
• Plasmon mass scale in two dimensional classical nonequilibrium gauge theory
• Quantum corrections to the Classical Statistical Approximation for the expanding quantum field
• Isotropization of the Quark Gluon Plasma
• Global variables and correlations: Summary of the results presented at the Quark Matter 2012 conference
• Applicability of the Wigner functional approach to evolution of quantum fields
• Parametric Instability of Classical Yang-Mills Fields in an Expanding Geometry
• Production of Semi Quark Gluon Monopole Plasma by Glasma Decay
• Revisiting the Gluon Spectrum in the Boost-Invariant Glasma from a Semi-Analytic Approach
• Initial state and thermalization
• Unruh effect and condensate in and out of an accelerated vacuum
• Isotropization of a rotating and longitudinally expanding ${\varphi }^4$ scalar system
• Equilibrium and equilibration in a gluon plasma with improved matrix elements
• The dynamics of strongly correlated gluons at high energies
• Microscopic identification of dissipative modes in relativistic field theories
• Quantum chaos in the perfect fluid: spectrum of initial fluctuations in the little bang