Analytical attractor for Bjorken flows

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. (C) 2021 Published by Elsevier B.V.

Automated summary

The paper presents an analytic solution for the expansion of boost-invariant plasmas of massless particles, covering the early time collisionless regime and transition to hydrodynamics. The mathematical structure of these equations 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, serving as an example of the application of the theory of resurgence in asymptotic series.