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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Onset of Bjorken Flow in Quantum Evolution of the Massive Schwinger Model

    hep-ph 2025-09 conditional novelty 6.0 of 10

    In the 1+1D massive Schwinger model, tensor network simulation of a localized excitation reveals Bjorken-like hydrodynamic flow for small fermion mass, but not for large mass.

  2. 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.

  3. Quantum thermalization of Quark-Gluon Plasma

    hep-ph 2024-12 conditional novelty 6.0 of 10

    In a 1+1D Schwinger model, strong-coupling quark Wigner functions thermalize to quantum statistical averages, while weak-coupling scalar and axial components do not because of many-body scars, and the θ-vacuum angle c...

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