- Author
- Michal Heller (UGent) , Alexandre Serantes, Michal Spalinski, Viktor Svensson and Benjamin Withers
- Organization
- Abstract
- A foundational question in relativistic fluid mechanics concerns the properties of the hydrodynamic gradient expansion at large orders. We establish the precise conditions under which this gradient expansion diverges for a broad class of microscopic theories admitting a relativistic hydrodynamic limit, in the linear regime. Our result does not rely on highly symmetric fluid flows utilized by previous studies of heavy-ion collisions and cosmology. The hydrodynamic gradient expansion diverges whenever energy density or velocity fields have support in momentum space exceeding a critical momentum and converges otherwise. This critical momentum is an intrinsic property of the microscopic theory and is set by branch point singularities of hydrodynamic dispersion relations.
- Keywords
- THERMODYNAMICS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8748330
- MLA
- Heller, Michal, et al. “Hydrodynamic Gradient Expansion in Linear Response Theory.” PHYSICAL REVIEW D, vol. 104, no. 6, 2021, doi:10.1103/PhysRevD.104.066002.
- APA
- Heller, M., Serantes, A., Spalinski, M., Svensson, V., & Withers, B. (2021). Hydrodynamic gradient expansion in linear response theory. PHYSICAL REVIEW D, 104(6). https://doi.org/10.1103/PhysRevD.104.066002
- Chicago author-date
- Heller, Michal, Alexandre Serantes, Michal Spalinski, Viktor Svensson, and Benjamin Withers. 2021. “Hydrodynamic Gradient Expansion in Linear Response Theory.” PHYSICAL REVIEW D 104 (6). https://doi.org/10.1103/PhysRevD.104.066002.
- Chicago author-date (all authors)
- Heller, Michal, Alexandre Serantes, Michal Spalinski, Viktor Svensson, and Benjamin Withers. 2021. “Hydrodynamic Gradient Expansion in Linear Response Theory.” PHYSICAL REVIEW D 104 (6). doi:10.1103/PhysRevD.104.066002.
- Vancouver
- 1.Heller M, Serantes A, Spalinski M, Svensson V, Withers B. Hydrodynamic gradient expansion in linear response theory. PHYSICAL REVIEW D. 2021;104(6).
- IEEE
- [1]M. Heller, A. Serantes, M. Spalinski, V. Svensson, and B. Withers, “Hydrodynamic gradient expansion in linear response theory,” PHYSICAL REVIEW D, vol. 104, no. 6, 2021.
@article{8748330,
abstract = {{A foundational question in relativistic fluid mechanics concerns the properties of the hydrodynamic gradient expansion at large orders. We establish the precise conditions under which this gradient expansion diverges for a broad class of microscopic theories admitting a relativistic hydrodynamic limit, in the linear regime. Our result does not rely on highly symmetric fluid flows utilized by previous studies of heavy-ion collisions and cosmology. The hydrodynamic gradient expansion diverges whenever energy density or velocity fields have support in momentum space exceeding a critical momentum and converges otherwise. This critical momentum is an intrinsic property of the microscopic theory and is set by branch point singularities of hydrodynamic dispersion relations.}},
articleno = {{066002}},
author = {{Heller, Michal and Serantes, Alexandre and Spalinski, Michal and Svensson, Viktor and Withers, Benjamin}},
issn = {{2470-0010}},
journal = {{PHYSICAL REVIEW D}},
keywords = {{THERMODYNAMICS}},
language = {{eng}},
number = {{6}},
pages = {{10}},
title = {{Hydrodynamic gradient expansion in linear response theory}},
url = {{http://doi.org/10.1103/PhysRevD.104.066002}},
volume = {{104}},
year = {{2021}},
}
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