Holographic turbulence in a large number of dimensions

Moshe Rozali; Evyatar Sabag; Amos Yarom

doi:10.1007/JHEP04(2018)065

Holographic turbulence in a large number of dimensions

Moshe Rozali
, Evyatar Sabag
, Amos Yarom

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We consider relativistic hydrodynamics in the limit where the number of spatial dimensions is very large. We show that under certain restrictions, the resulting equations of motion simplify significantly. Holographic theories in a large number of dimensions satisfy the aforementioned restrictions and their dynamics are captured by hydrodynamics with a naturally truncated derivative expansion. Using analytic and numerical techniques we analyze two and three-dimensional turbulent flow of such fluids in various regimes and its relation to geometric data.

Original language	English
Article number	65
Journal	Journal of High Energy Physics
Volume	2018
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2018)065
State	Published - 1 Apr 2018
Externally published	Yes

Keywords

AdS-CFT Correspondence
Gauge-gravity correspondence

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP04(2018)065

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abstract = "We consider relativistic hydrodynamics in the limit where the number of spatial dimensions is very large. We show that under certain restrictions, the resulting equations of motion simplify significantly. Holographic theories in a large number of dimensions satisfy the aforementioned restrictions and their dynamics are captured by hydrodynamics with a naturally truncated derivative expansion. Using analytic and numerical techniques we analyze two and three-dimensional turbulent flow of such fluids in various regimes and its relation to geometric data.",

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AU - Sabag, Evyatar

AU - Yarom, Amos

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N2 - We consider relativistic hydrodynamics in the limit where the number of spatial dimensions is very large. We show that under certain restrictions, the resulting equations of motion simplify significantly. Holographic theories in a large number of dimensions satisfy the aforementioned restrictions and their dynamics are captured by hydrodynamics with a naturally truncated derivative expansion. Using analytic and numerical techniques we analyze two and three-dimensional turbulent flow of such fluids in various regimes and its relation to geometric data.

AB - We consider relativistic hydrodynamics in the limit where the number of spatial dimensions is very large. We show that under certain restrictions, the resulting equations of motion simplify significantly. Holographic theories in a large number of dimensions satisfy the aforementioned restrictions and their dynamics are captured by hydrodynamics with a naturally truncated derivative expansion. Using analytic and numerical techniques we analyze two and three-dimensional turbulent flow of such fluids in various regimes and its relation to geometric data.

KW - AdS-CFT Correspondence

KW - Gauge-gravity correspondence

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DO - 10.1007/JHEP04(2018)065

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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Holographic turbulence in a large number of dimensions

Abstract

Keywords

ASJC Scopus subject areas

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