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Title: 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 infra-red. 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]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
  2. 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 1029-8479
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 infra-red. 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}
}