Diffusion for Holographic Lattices

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Title: Diffusion for Holographic Lattices
Authors: Donos, A
Gauntlett, JP
Ziogas, V
Item Type: Working Paper
Abstract: 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.
Issue Date: 9-Mar-2018
URI: http://hdl.handle.net/10044/1/57021
Copyright Statement: © The Authors
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Science and Technology Facilities Council (STFC)
Commission of the European Communities
Funder's Grant Number: EP/K034456/1
Keywords: hep-th
Notes: 36 pages; most comments on the case of spontaneous breaking of translations have been removed. A new appendix concerning zero modes has been added. Various other small changes
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences

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