Convergence of the Gradient Expansion in Hydrodynamics
Abstract
Hydrodynamic excitations corresponding to sound and shear modes in fluids are characterized by gapless dispersion relations. In the hydrodynamic gradient expansion, their frequencies are represented by power series in spatial momenta. We investigate the analytic structure and convergence properties of the hydrodynamic series by studying the associated spectral curve in the space of complexified frequency and complexified spatial momentum. For the strongly coupled N = 4 supersymmetric Yang-Mills plasma, we use the holographic duality methods to demonstrate that the derivative expansions have finite nonzero radii of convergence. Obstruction to the convergence of hydrodynamic series arises from level crossings in the quasinormal spectrum at complex momenta.
- Authors:
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1530008
- Alternate Identifier(s):
- OSTI ID: 1611577; OSTI ID: 1637346
- Grant/Contract Number:
- SC0011090
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 25; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics; finite temperature field theory; gauge-gravity dualities; relativistic heavy-ion collisions; string theory techniques in condensed matter; transport phenomena; relativistic hydrodynamics
Citation Formats
Grozdanov, Sašo, Kovtun, Pavel K., Starinets, Andrei O., and Tadić, Petar. Convergence of the Gradient Expansion in Hydrodynamics. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.122.251601.
Grozdanov, Sašo, Kovtun, Pavel K., Starinets, Andrei O., & Tadić, Petar. Convergence of the Gradient Expansion in Hydrodynamics. United States. https://doi.org/10.1103/PhysRevLett.122.251601
Grozdanov, Sašo, Kovtun, Pavel K., Starinets, Andrei O., and Tadić, Petar. Fri .
"Convergence of the Gradient Expansion in Hydrodynamics". United States. https://doi.org/10.1103/PhysRevLett.122.251601.
@article{osti_1530008,
title = {Convergence of the Gradient Expansion in Hydrodynamics},
author = {Grozdanov, Sašo and Kovtun, Pavel K. and Starinets, Andrei O. and Tadić, Petar},
abstractNote = {Hydrodynamic excitations corresponding to sound and shear modes in fluids are characterized by gapless dispersion relations. In the hydrodynamic gradient expansion, their frequencies are represented by power series in spatial momenta. We investigate the analytic structure and convergence properties of the hydrodynamic series by studying the associated spectral curve in the space of complexified frequency and complexified spatial momentum. For the strongly coupled N = 4 supersymmetric Yang-Mills plasma, we use the holographic duality methods to demonstrate that the derivative expansions have finite nonzero radii of convergence. Obstruction to the convergence of hydrodynamic series arises from level crossings in the quasinormal spectrum at complex momenta.},
doi = {10.1103/PhysRevLett.122.251601},
journal = {Physical Review Letters},
number = 25,
volume = 122,
place = {United States},
year = {2019},
month = {6}
}
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https://doi.org/10.1103/PhysRevLett.122.251601
https://doi.org/10.1103/PhysRevLett.122.251601
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Cited by: 8 works
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Figures / Tables:
FIG. 1: Coefficients of the expansions (10) and (11) in $\mathcal{N}$ =4 SYM theory. The circles are |cn|(shear mode), the squares are ln |an| (sound mode). Red (blue) indicate positive (negative) values of cn or an.
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.