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On the hydrodynamic attractor of Yang-Mills plasma

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arxiv 1708.01921 v3 pith:FPPORPFC submitted 2017-08-06 hep-th hep-phnucl-th

On the hydrodynamic attractor of Yang-Mills plasma

classification hep-th hep-phnucl-th
keywords attractorflowhydrodynamichydrodynamicsplasmaresultsystemyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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There is mounting evidence suggesting that relativistic hydrodynamics becomes relevant for the physics of quark-gluon plasma as the result of nonhydrodynamic modes decaying to an attractor apparent even when the system is far from local equilibrium. Here we determine this attractor for Bjorken flow in N=4 supersymmetric Yang-Mills theory using Borel summation of the gradient expansion of the expectation value of the energy momentum tensor. By comparing the result to numerical simulations of the flow based on the AdS/CFT correspondence we show that it provides an accurate and unambiguous approximation of the hydrodynamic attractor in this system. This development has important implications for the formulation of effective theories of hydrodynamics.

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  1. Attractor of hydrodynamic attractors

    nucl-th 2025-09 conditional novelty 6.0

    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.