Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation

Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation

Consistent formulations of relativistic viscous hydrodynamics involve short-lived modes, leading to asymptotic rather than convergent gradient expansions. In this Letter we consider the Müller-Israel-Stewart theory applied to a longitudinally expanding quark-gluon plasma system and identify hydrodyn...

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Veröffentlicht in:Physical review letters 2015-08, Vol.115 (7), p.072501-072501, Article 072501
Hauptverfasser: Heller, Michal P, Spaliński, Michał
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Sprache:eng
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Accounting
Asymptotic properties
Computational fluid dynamics
Fluid flow
Hydrodynamics
Mathematical analysis
Quark-gluon plasma
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Spaliński, Michał
description Consistent formulations of relativistic viscous hydrodynamics involve short-lived modes, leading to asymptotic rather than convergent gradient expansions. In this Letter we consider the Müller-Israel-Stewart theory applied to a longitudinally expanding quark-gluon plasma system and identify hydrodynamics as a universal attractor without invoking the gradient expansion. We give strong evidence for the existence of this attractor and then show that it can be recovered from the divergent gradient expansion by Borel summation. This requires careful accounting for the short-lived modes which leads to an intricate mathematical structure known from the theory of resurgence.
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source American Physical Society Journals
subjects Accounting
Asymptotic properties
Computational fluid dynamics
Fluid flow
Hydrodynamics
Mathematical analysis
Quark-gluon plasma
title Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
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