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Diffusion for holographic lattices

Donos, Aristomenis; Gauntlett, Jerome P.; Ziogas, Vaios

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Authors

Jerome P. Gauntlett

Vaios Ziogas



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.

Citation

Donos, A., Gauntlett, J. P., & Ziogas, V. (2018). Diffusion for holographic lattices. Journal of High Energy Physics, 2018(3), Article 056. https://doi.org/10.1007/jhep03%282018%29056

Journal Article Type Article
Acceptance Date Feb 13, 2018
Online Publication Date Mar 9, 2018
Publication Date Mar 9, 2018
Deposit Date Mar 22, 2018
Publicly Available Date Mar 22, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 3
Article Number 056
DOI https://doi.org/10.1007/jhep03%282018%29056

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Published Journal Article (736 Kb)
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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.





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