• Corpus ID: 239009442

The hydrodynamic gradient expansion diverges beyond Bjorken flow

  title={The hydrodynamic gradient expansion diverges beyond Bjorken flow},
  author={Michal P. Heller and Alexandre Serantes and Michal Spali'nski and Viktor Svensson and Benjamin Withers},
Michal P. Heller, 2, ∗ Alexandre Serantes, 3, † Micha l Spaliński, 4, ‡ Viktor Svensson, 1, § and Benjamin Withers ¶ Max Planck Institute for Gravitational Physics (Albert Einstein Institute), 14476 Potsdam-Golm, Germany National Centre for Nuclear Research, 02-093 Warsaw, Poland Dept. F́ısica Quàntica i Astrof́ısica, Institut de Ciències del Cosmos (ICCUB), Facultat de F́ısica, Universitat de Barcelona, Mart́ı i Franqués, 1, E08028 Barcelona, Spain Physics Department, University of Bia lystok… 

Figures from this paper

Long-time tails in the SYK chain from the effective field theory with a large number of derivatives
We study the nonlinear energy diffusion through the SYK chain in the framework of Schwinger-Keldysh effective field theory. We analytically construct the interacting effective Lagrangian up to 40th
Characteristic momentum of Hydro+ and a bound on the speed of sound near the QCD critical point
Near the critical point in the QCD phase diagram, hydrodynamics breaks down at a momentum where the frequency of the fastest hydrodynamic mode becomes comparable with the decay rate of the slowest


Characteristics of thermalization of boost-invariant plasma from holography.
A sizable anisotropy in the energy-momentum tensor at thermalization is observed, which suggests that effective thermalization in heavy-ion collisions may occur significantly earlier than true thermalization.
Entropy current in conformal hydrodynamics
In recent work [1, 2], the energy-momentum tensor for the = 4 SYM fluid was computed up to second derivative terms using holographic methods. The aim of this note is to propose an entropy current
Relativistic viscous hydrodynamics, conformal invariance, and holography
We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order
Non-boost-invariant dissipative hydrodynamics
The one-dimensional non-boost-invariant evolution of the quark-gluon plasma, presumably produced during the early stages of heavy-ion collisions, is analyzed within the frameworks of viscous and
Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation.
This Letter considers the Müller-Israel-Stewart theory applied to a longitudinally expanding quark-gluon plasma system and identifies hydrodynamics as a universal attractor without invoking the gradient expansion, giving strong evidence for the existence of this attractor.
Resurgence in extended hydrodynamics
It has recently been understood that the hydrodynamic series generated by the M\"uller-Israel-Stewart theory is divergent, and that this large order behaviour is consistent with the theory of
Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
Perturbative expansions, such as the well-known gradient series and the recently proposed slow-roll expansion, have been recently used to investigate the emergence of hydrodynamic behavior in systems
Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
We explore the transition to hydrodynamics in a weakly-coupled model of quark-gluon plasma given by kinetic theory in the relaxation time approximation with conformal symmetry. We demonstrate that
How does relativistic kinetic theory remember about initial conditions?
Understanding hydrodynamization in microscopic models of heavy-ion collisions has been an important topic in current research. Many lessons obtained within the strongly-coupled (holographic) models
Short-lived modes from hydrodynamic dispersion relations
A bstractWe consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We