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Diffusion for holographic lattices.

Donos, Aristomenis and Gauntlett, Jerome P. and Ziogas, Vaios (2018) 'Diffusion for holographic lattices.', Journal of high energy physics., 2018 (3). 056.


We consider black hole spacetimes that are holographically dual to strongly coupled field theories in which spatial translations are broken explicitly. We discuss how the quasinormal modes associated with diffusion of heat and charge can be systematically constructed in a long wavelength perturbative expansion. We show that the dispersion relation for these modes is given in terms of the thermoelectric DC conductivity and static susceptibilities of the dual field theory and thus we derive a generalised Einstein relation from Einstein’s equations. A corollary of our results is that thermodynamic instabilities imply specific types of dynamical instabilities of the associated black hole solutions.

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Publisher statement:Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:13 February 2018
Date deposited:22 March 2018
Date of first online publication:09 March 2018
Date first made open access:22 March 2018

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