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arXiv · 2112.10781

Convergence of hydrodynamics in rapidly spinning strongly coupled plasma

Casey Cartwright·Markus Garbiso Amano·Matthias Kaminski·Jorge Noronha·Enrico Speranza
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Abstract

We compute the radius of convergence of the linearized relativistic hydrodynamic expansion around a non-trivially rotating strongly coupled N=4 Super-Yang-Mills plasma. Our results show that the validity of hydrodynamics is sustained and can even get enhanced in a highly vortical quark-gluon plasma, such as the one produced in heavy-ion collisions. The hydrodynamic dispersion relations are computed using a rotating background that is an analytic solution of the ideal hydrodynamic equations of motion with non-vanishing angular momentum and large vorticity gradients, giving rise to a particular boost symmetry. Analytic equations for the transport coeffcients of the rotating plasma as a function of their values in a plasma at rest are given.

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Casey Cartwright, Markus Garbiso Amano, Matthias Kaminski, Jorge Noronha, Enrico Speranza. 2021-12-20. Convergence of hydrodynamics in rapidly spinning strongly coupled plasma. https://arxiv.org/abs/2112.10781

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