Holographic Turbulence in a Large Number of Dimensions
Jul 27, 2017Citations per year
Abstract: (arXiv)
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.Note:
- 36 pages, 22 figures
- AdS-CFT Correspondence
- Gauge-gravity correspondence
- hydrodynamics: relativistic
- expansion: derivative
- dimension: 3
- dimension: 2
- turbulence
- higher-dimensional
- field equations
- fluid
References(50)
Figures(49)
- ,
- ,
- ,
- •
- JHEP 02 (2008) 045
- e-Print:•
- •
- Phys.Rev.Lett. 112 (2014) 15, 151602
- e-Print:•
- ,
- ,
- •
- Phys.Rev.X 4 (2014) 1, 011001
- e-Print:•
- ,
- ,
- •
- JHEP 06 (2013) 009
- e-Print:•
- ,
- ,
- •
- JHEP 06 (2014) 106
- e-Print:•
- ,
- ,
- •
- JHEP 07 (2014) 113
- e-Print:•
- ,
- ,
- •
- JHEP 04 (2015) 085
- e-Print:•
- ,
- ,
- ,
- ,
- •
- JHEP 06 (2015) 159
- e-Print:•
- ,
- ,
- ,
- ,
- •
- JHEP 04 (2016) 076
- e-Print:•
- ,
- ,
- •
- Phys.Rev.Lett. 115 (2015) 9, 091102
- e-Print:•
- ,
- ,
- •
- JHEP 06 (2016) 134
- e-Print:•
- ,
- ,
- ,
- ,
- •
- JHEP 06 (2016) 117
- e-Print:•
- ,
- ,
- ,
- ,
- •
- JHEP 05 (2017) 098
- e-Print:•
- ,
- ,
- ,
- ,
- •
- JHEP 10 (2018) 033
- e-Print:•
- •
- JHEP 06 (2017) 033
- e-Print:•
- •
- JHEP 10 (2008) 063
- e-Print:•
- ,
- ,
- ,
- ,
- •
- JHEP 12 (2008) 116
- e-Print:•
- •
- Nucl.Phys.B 813 (2009) 140-155
- e-Print:•
- •
- JHEP 04 (2009) 062
- e-Print:•