Universal diffusion in incoherent black holes

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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∼ℏv2B/(kBT). Here vB 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∼ℏ/(kBT) independently of the mechanism of momentum relaxation.
Original languageEnglish
Article number086014
Number of pages9
JournalPhysical Review D
Volume94
Issue number8
DOIs
Publication statusPublished - 31 Oct 2016

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