Holographic hydrodynamics with a chemical potential

2009/03/31 by Robert C. Myers, Miguel F. Paulos, Aninda Sinha
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Entropy (arrow of time) #Holography #Physics #Planar #Plasma #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Shear viscosity #Theoretical physics #Thermodynamics #Viscosity #Volume viscosity #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/06/006

published as JHEP 0906:006,2009 · v2: comparison to supergravity lagrangian added, references added, typos fixed

arxiv created 2009/04/23 · openalex publication_date 2009/06/03 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider five-dimensional gravity coupled to a negative cosmological constant and a single U(1) gauge field, including a general set of four-derivative interactions. In this framework, we construct charged planar AdS black hole solutions perturbatively and consider the thermal and hydrodynamic properties of the plasma in the dual CFT. In particular, we calculate the ratio of shear viscosity to entropy density and argue that the violation of the KSS bound is enhanced in the presence of a chemical potential. We also compute the electrical conductivity and comment on various conjectured bounds related to this coefficient.

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