Diffusion for holographic lattices

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

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1336713