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Analytical attractor for Bjorken expansion

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arxiv 2006.08815 v2 pith:ZA5QOMG5 submitted 2020-06-15 nucl-th hep-ph

classification nucl-thhep-ph
keywords hydrodynamicssolutionanalyticattractorbjorkencollisionlessequationsexpansion
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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.

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  1. Attractor of hydrodynamic attractors

    nucl-th 2025-09 conditional novelty 6.0 of 10

    Second- and higher-order hydrodynamic attractors converge to the same universal curve before the Navier-Stokes limit, with the leading correction controlled only by second-order coefficients.

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