Convergence of hydrodynamic modes : insights from kinetic theory and holography
- Author
- Michal Heller (UGent) , Alexandre Serantes, Michal Spalinski, Viktor Svensson and Benjamin Withers
- Organization
- Abstract
- We study the mechanisms setting the radius of convergence of hydrodynamic dispersion relations in kinetic theory in the relaxation time approximation. This introduces a qualitatively new feature with respect to holography: a nonhydrodynamic sector represented by a branch cut in the retarded Green's function. In contrast with existing holographic examples, we find that the radius of convergence in the shear channel is set by a collision of the hydrodynamic pole with a branch point. In the sound channel it is set by a pole-pole collision on a non-principal sheet of the Green's function. More generally, we examine the consequences of the Implicit Function Theorem in hydrodynamics and give a prescription to determine a set of points that necessarily includes all complex singularities of the dispersion relation. This may be used as a practical tool to assist in determining the radius of convergence of hydrodynamic dispersion relations.
- Keywords
- COLLISIONS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8748332
- MLA
- Heller, Michal, et al. “Convergence of Hydrodynamic Modes : Insights from Kinetic Theory and Holography.” SCIPOST PHYSICS, vol. 10, no. 6, 2021, doi:10.21468/SciPostPhys.10.6.123.
- APA
- Heller, M., Serantes, A., Spalinski, M., Svensson, V., & Withers, B. (2021). Convergence of hydrodynamic modes : insights from kinetic theory and holography. SCIPOST PHYSICS, 10(6). https://doi.org/10.21468/SciPostPhys.10.6.123
- Chicago author-date
- Heller, Michal, Alexandre Serantes, Michal Spalinski, Viktor Svensson, and Benjamin Withers. 2021. “Convergence of Hydrodynamic Modes : Insights from Kinetic Theory and Holography.” SCIPOST PHYSICS 10 (6). https://doi.org/10.21468/SciPostPhys.10.6.123.
- Chicago author-date (all authors)
- Heller, Michal, Alexandre Serantes, Michal Spalinski, Viktor Svensson, and Benjamin Withers. 2021. “Convergence of Hydrodynamic Modes : Insights from Kinetic Theory and Holography.” SCIPOST PHYSICS 10 (6). doi:10.21468/SciPostPhys.10.6.123.
- Vancouver
- 1.Heller M, Serantes A, Spalinski M, Svensson V, Withers B. Convergence of hydrodynamic modes : insights from kinetic theory and holography. SCIPOST PHYSICS. 2021;10(6).
- IEEE
- [1]M. Heller, A. Serantes, M. Spalinski, V. Svensson, and B. Withers, “Convergence of hydrodynamic modes : insights from kinetic theory and holography,” SCIPOST PHYSICS, vol. 10, no. 6, 2021.
@article{8748332,
abstract = {{We study the mechanisms setting the radius of convergence of hydrodynamic dispersion relations in kinetic theory in the relaxation time approximation. This introduces a qualitatively new feature with respect to holography: a nonhydrodynamic sector represented by a branch cut in the retarded Green's function. In contrast with existing holographic examples, we find that the radius of convergence in the shear channel is set by a collision of the hydrodynamic pole with a branch point. In the sound channel it is set by a pole-pole collision on a non-principal sheet of the Green's function. More generally, we examine the consequences of the Implicit Function Theorem in hydrodynamics and give a prescription to determine a set of points that necessarily includes all complex singularities of the dispersion relation. This may be used as a practical tool to assist in determining the radius of convergence of hydrodynamic dispersion relations.}},
articleno = {{123}},
author = {{Heller, Michal and Serantes, Alexandre and Spalinski, Michal and Svensson, Viktor and Withers, Benjamin}},
issn = {{2542-4653}},
journal = {{SCIPOST PHYSICS}},
keywords = {{COLLISIONS}},
language = {{eng}},
number = {{6}},
pages = {{24}},
title = {{Convergence of hydrodynamic modes : insights from kinetic theory and holography}},
url = {{http://doi.org/10.21468/SciPostPhys.10.6.123}},
volume = {{10}},
year = {{2021}},
}
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