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Universal diffusion in incoherent black holes

Accepted version
Peer-reviewed

Type

Article

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Authors

Blake, M 

Abstract

We study charge and energy diffusion in simple holographic theories with broken translational symmetry. We find that when the effects of momentum relaxation are very strong the diffusion constants take universal values Dc∼De∼υ2B(kBT). Here υB is the velocity of the butterfly effect and the coefficients of proportionality depend only on the scaling exponents of the infra-red fixed point. Our results suggest that diffusion in these incoherent black holes is controlled by τ∼(kBT) independently of the mechanism of momentum relaxation.

Description

Keywords

4902 Mathematical Physics, 5107 Particle and High Energy Physics, 49 Mathematical Sciences, 51 Physical Sciences

Journal Title

Physical Review D

Conference Name

Journal ISSN

2470-0010
2470-0029

Volume Title

94

Publisher

American Physical Society
Sponsorship
European Research Council (279943)
Science and Technology Facilities Council (ST/L000385/1)
I am funded through a Junior Research Fellowship from Churchill College, University of Cambridge. This work was supported in part by the European Research Council (ERC) under the European Unions Seventh Framework Programme (Grant No. FP7/2007-2013), ERC Grant No. STG 279943, Strongly Coupled Systems.