Membrane Paradigm and Holographic DC Conductivity for Nonlinear Electrodynamics
arXiv:1711.03298 · doi:10.1103/PhysRevD.98.026021
Abstract
Membrane paradigm is a powerful tool to study properties of black hole horizons. We first explore the properties of the nonlinear electromagnetic membrane of black holes. For a general nonlinear electrodynamics field, we show that the conductivities of the horizon usually have off-diagonal components and depend on the normal electric and magnetic fields on the horizon. Via the holographic duality, we find a model-independent expression for the holographic DC conductivities of the conserved current dual to a probe nonlinear electrodynamics field in a neutral and static black brane background. It shows that these DC conductivities only depend on the geometric and electromagnetic quantities evaluated at the horizon. We can also express the DC conductivities in terms of the temperature, charge density and magnetic field in the boundary theory, as well as the values of the couplings in the nonlinear electrodynamics at the horizon.
added references, a new figure, and some context, correct a sign error, and rewrote some parts
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Cited by in corpus (15)
- Introductory Notes on Non-linear Electrodynamics and its Applications
- Thermodynamics and Phase Transitions of Nonlinear Electrodynamics Black Holes in an Extended Phase Space
- Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry
- Phase Structures and Transitions of Born-Infeld Black Holes in a Grand Canonical Ensemble
- Scalarized Einstein-Born-Infeld-scalar Black Holes
- Strong Cosmic Censorship for a Scalar Field in a Born-Infeld-de Sitter Black Hole
- Thermodynamics and Weak Cosmic Censorship Conjecture in Nonlinear Electrodynamics Black Holes via Charged Particle Absorption
- Anomalous scalings of the cuprate strange metals from nonlinear electrodynamics
- Holographic DC Conductivity for Backreacted Nonlinear Electrodynamics with Momentum Dissipation
- Holographic DC Conductivity for Backreacted NLED in Massive Gravity
- Holographic DC Conductivity for a Power-law Maxwell Field
- Mixed-state Entanglement for AdS Born-Infeld Theory
- The force-free dipole magnetosphere in non-linear electrodynamics
- Holographic transports from Born-Infeld electrodynamics with momentum dissipation
- Minimal Length Effects on Motion of a Particle in Rindler Space