4.7 Article

Universal diffusion in incoherent black holes

Journal

PHYSICAL REVIEW D
Volume 94, Issue 8, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.94.086014

Keywords

-

Funding

  1. European Research Council (ERC) under the European Unions Seventh Framework Programme, ERC, Strongly Coupled Systems [FP7/2007-2013, STG 279943]
  2. STFC [ST/L000385/1] Funding Source: UKRI
  3. Science and Technology Facilities Council [ST/L000385/1] Funding Source: researchfish

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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 D-c similar to D-e similar to hv(B)(2)/(k(B)T). 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 tau similar to h/(k(B)T) independently of the mechanism of momentum relaxation.

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