Navier-Stokes Equations on Black Hole Horizons and DC Thermoelectric Conductivity
arXiv:1506.01360 · doi:10.1103/PhysRevD.92.121901
Abstract
Within the context of the AdS/CFT correspondence we show that the DC thermoelectric conductivity can be obtained by solving the linearised, time-independent and forced Navier-Stokes equations on the black hole horizon for an incompressible and charged fluid.
5 pages. Minor change to title as requested by journal. No other changes
References in corpus (9)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Nonlinear Fluid Dynamics from Gravity
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Thermoelectric DC conductivities from black hole horizons
- The thermoelectric properties of inhomogeneous holographic lattices
- The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
- Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations
- Momentum relaxation from the fluid/gravity correspondence
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