Journal article
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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 484.4KB, Terms of use)
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- Publisher copy:
- 10.1103/physrevlett.122.251601
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review Letters More from this journal
- Volume:
- 122
- Pages:
- 251601
- Publication date:
- 2019-06-28
- Acceptance date:
- 2019-06-11
- DOI:
- EISSN:
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1079-7114
- ISSN:
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0031-9007
- Language:
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English
- Pubs id:
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pubs:1030936
- UUID:
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uuid:49cc9a4b-546d-4bd5-976a-bf3f545df9b7
- Local pid:
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pubs:1030936
- Source identifiers:
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1030936
- Deposit date:
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2019-07-10
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2019
- Notes:
- Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
- Licence:
- CC Attribution (CC BY)
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