Universal diffusion in incoherent black holes
Year: 2016
Type: article
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 ${D}_{c}\ensuremath{\sim}{D}_{e}\ensuremath{\sim}\ensuremath{\hbar}{v}_{B}^{2}/({k}_{B}T)$. Here ${v}_{B}$ 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 $\ensuremath{\tau}\ensuremath{\sim}\ensuremath{\hbar}/({k}_{B}T)$ independently of the mechanism of momentum relaxation.
Author: Mike Blake
Institution: University of Cambridge
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2336945361