Diffusion and chaos from near AdS _{2} horizons
We calculate the thermal diffusivity D = $$\kappa/c_\rho$$ and butterfy velocity $$\upsilon_\beta$$ in holographic models that flow to $$AdS_2$$ x $R^d$ fixed points in the infrared. We show that both these quantities are governed by the same irrelevant deformation of $$AdS_2$$ and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension $$\Delta$$ = 2 then this relationship is always given by D = $$\upsilon_B^2$$/(2$$\pi$$T).
 Authors:

^{[1]};
^{[2]}
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
 Durham Univ. (United Kingdom). Center for Particle Theory and Department of Mathematical Sciences
 Publication Date:
 Grant/Contract Number:
 SC0012567
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 2; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
 OSTI Identifier:
 1367165
Blake, Mike, and Donos, Aristomenis. Diffusion and chaos from near AdS2 horizons. United States: N. p.,
Web. doi:10.1007/JHEP02(2017)013.
Blake, Mike, & Donos, Aristomenis. Diffusion and chaos from near AdS2 horizons. United States. doi:10.1007/JHEP02(2017)013.
Blake, Mike, and Donos, Aristomenis. 2017.
"Diffusion and chaos from near AdS2 horizons". United States.
doi:10.1007/JHEP02(2017)013. https://www.osti.gov/servlets/purl/1367165.
@article{osti_1367165,
title = {Diffusion and chaos from near AdS2 horizons},
author = {Blake, Mike and Donos, Aristomenis},
abstractNote = {We calculate the thermal diffusivity D = $\kappa/c_\rho$ and butterfy velocity $\upsilon_\beta$ in holographic models that flow to $AdS_2$ x $R^d$ fixed points in the infrared. We show that both these quantities are governed by the same irrelevant deformation of $AdS_2$ and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension $\Delta$ = 2 then this relationship is always given by D = $\upsilon_B^2$/(2$\pi$T).},
doi = {10.1007/JHEP02(2017)013},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2017,
place = {United States},
year = {2017},
month = {2}
}