Analytical attractor for Bjorken expansion
arXiv:2006.08815 · doi:10.1016/j.physletb.2021.136478
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.
arXiv commentUpdates with new discussion on transasymptotic matching. Version accepted for publication in PLB
References in corpus (28)
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- New theories of relativistic hydrodynamics in the LHC era
- The characteristics of thermalization of boost-invariant plasma from holography
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- Isotropization and hydrodynamization in weakly coupled heavy-ion collisions
- Fluid Dynamics far from Local Equilibrium
- Hydrodynamic gradient expansion in gauge theory plasmas
- A Primer on Resurgent Transseries and Their Asymptotics
- Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
- Nonperturbative Ambiguities and the Reality of Resurgent Transseries
- Fluid dynamics of out of equilibrium boost invariant plasmas
- What attracts to attractors?
- The non-equilibrium attractor for kinetic theory in relaxation time approximation
- Hydrodynamics, resurgence and trans-asymptotics
- Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
- How does relativistic kinetic theory remember about initial conditions?
- Exact hydrodynamic attractor of an ultrarelativistic gas of hard spheres
- Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
- Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
- Emergence of hydrodynamical behavior in expanding quark-gluon plasmas
- Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow
- Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
- Adiabatic hydrodynamization in rapidly-expanding quark-gluon plasma
- Onset of hydrodynamics for a quark-gluon plasma from the evolution of moments of distribution functions
- On attractor and fixed points in Bjorken flows
- Hydrodynamics from free-streaming to thermalization and back again
- Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons
- Angular mode expansion of the Boltzmann equation in the small-angle approximation
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