2008/11/30 by Evgeny I. Buchbinder, Alex Buchel
Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed matter physics #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #Magnetic field #Materials science #Physics #Plasma #Quantum electrodynamics #Quantum mechanics #Shear (geology) #hep-th
paper · pdf · doi:10.1103/physrevd.79.046006
published as Phys.Rev.D79:046006,2009 · 23 pages; minor corrections, references added
arxiv created 2009/02/18 · openalex publication_date 2009/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It was shown by Buchbinder, Buchel, and Vazquez [J. High Energy Phys. 12 (2008) 090] that, in the presence of the magnetic field, the sound waves in (2+1)-dimensional plasma disappear and are replaced by a diffusive mode. Similarly, the shear and charge diffusion fluctuations form a subdiffusive mode. However, since the limit of a small magnetic field does not commute with the hydrodynamic limit, it is not obvious whether or not these modes are stable under higher order corrections. Using AdS/CFT correspondence we show that, in the case of the M2-brane plasma, these modes do exist as we find the corresponding supergravity solutions. This allowed us to compute the conductivity and the shear viscosity to all orders in a magnetic field. We find that the viscosity to entropy ratio saturates the Kovtun-Son-Starinets bound. This extends the universality property of the shear viscosity to the case of the strongly coupled plasma in an external magnetic field.