Analytical attractor for Bjorken expansion

Abstract

We present an analytic solution of a simple set of equations that govern the expansion of boost-invariant plasmas of massless particles. These equations describe, approximately, the early time, collisionless regime, and the transition to hydrodynamics at late time. Their mathematical structure encompasses all versions of second order hydrodynamics when applied to Bjorken flows. The analytic solution provides an explicit expression for the attractor solution that connects the collisionless regime to hydrodynamics. It also constitutes a neat example of an application of the theory of resurgence in asymptotic series.

Updates with new discussion on transasymptotic matching. Version accepted for publication in PLB

References in corpus (4)

• Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow
• Hydrodynamics from free-streaming to thermalization and back again
• On attractor and fixed points in Bjorken flows
• Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons

Cited by in corpus (21)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Hydrodynamic attractors in heavy ion collisions: a review
• Non-conformal attractor in boost-invariant plasmas
• On non-conformal kinetic theory and hydrodynamics for Bjorken flow
• On attractor and fixed points in Bjorken flows
• Extended relaxation time approximation and relativistic dissipative hydrodynamics
• Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
• From moments of the distribution function to hydrodynamics: The non-conformal case
• Exponential Approach to the Hydrodynamic Attractor in Yang-Mills Kinetic Theory
• Shear transport far from equilibrium via holography
• Hydrodynamic Attractor in a Hubble Expansion
• Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation
• Relativistic second-order viscous hydrodynamics from kinetic theory with extended relaxation-time approximation
• Constraining the initial stages of ultrarelativistic nuclear collisions
• Hydrodynamic attractor in the non-conformal Bjorken flow
• Novel features of attractors and transseries in non-conformal Bjorken flows
• Hydrodynamical attractor and thermal particle production in heavy-ion collision
• Resurgence for the non-conformal Bjorken flow with Fermi-Dirac and Bose-Einstein statistics
• Metric anisotropies and nonequilibrium attractor for expanding plasma
• Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates
• New, spherical solutions of non-relativistic, dissipative hydrodynamics