@article{01H46NR50S9FEJ0BFBAV61W3CB,
  abstract     = {{There is growing evidence that the hydrodynamic gradient expansion is factorially divergent. We advocate for using Dingle's singulants as a way to gain analytic control over its large-order behavior for nonlinear flows. Within our approach, singulants can be viewed as new emergent degrees of freedom which reorganize the large-order gradient expansion. We work out the physics of singulants for longitudinal flows, where they obey simple evolution equations which we compute in Muller-Israel-Stewart-like models, holography, and kinetic theory. These equations determine the dynamics of the large-order behavior of the hydrodynamic expansion, which we confirm with explicit numerical calculations. One of our key findings is a duality between singulant dynamics and a certain linear response theory problem. Finally, we discuss the role of singulants in optimal truncation of the hydrodynamic gradient expansion. A by-product of our analysis is a new Muller-Israel-Stewart-like model, where the qualitative behavior of singulants shares more similarities with holography than models considered hitherto.}},
  articleno    = {{041010}},
  author       = {{Heller, Michal and Serantes, Alexandre and Spaliński, Michał and Svensson, Viktor and Withers, Benjamin}},
  issn         = {{2160-3308}},
  journal      = {{PHYSICAL REVIEW X}},
  keywords     = {{General Physics and Astronomy,EXPONENTIAL ASYMPTOTICS,STOKES LINES,COLLISIONS}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{25}},
  title        = {{Relativistic hydrodynamics : a singulant perspective}},
  url          = {{http://doi.org/10.1103/physrevx.12.041010}},
  volume       = {{12}},
  year         = {{2022}},
}

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