Abstract
We find stationary thin-brane geometries that are dual to far-from-equilibrium steady states of two-dimensional holographic interfaces. The flow of heat at the boundary agrees with the result of CFT and the known energy-transport coefficients of the thin-brane model. We argue that by entangling outgoing excitations the interface produces thermodynamic entropy at a maximal rate, and point out similarities and differences with double-sided black funnels. The non-compact, non-Killing and far-from-equilibrium event horizon of our solutions coincides with the local (apparent) horizon on the colder side, but lies behind it on the hotter side of the interface. We also show that the thermal conductivity of a pair of interfaces jumps at the Hawking-Page phase transition from a regime described by classical scatterers to a quantum regime in which heat flows unobstructed.
Highlights
A simple class of real-time processes are the non-equilibrium steady states (NESS) characterised only by persistent currents
We find stationary thin-brane geometries that are dual to far-from-equilibrium steady states of two-dimensional holographic interfaces
We show that the thermal conductivity of a pair of interfaces jumps at the Hawking-Page phase transition from a regime described by classical scatterers to a quantum regime in which heat flows unobstructed
Summary
The boosted black-string metric of three-dimensional gravity with negative cosmological constant reads ds2 = If x were an angle variable, (2.1) would be the metric of the rotating BTZ black hole [6, 7] with M and J its mass and spin and the radius of AdS3. √ Besides r±, another special radius is rergo = M ≥ r+. It delimits the ergoregion inside which no observer (powered by any engine) can stay at a fixed position x. Frame dragging forces ingoing matter to cross the outer horizon at infinity along the string, x ∼ J t/2r+2 → ∞. One can define ingoing Eddington-Finkelstein (EF) coordinates, dv dt dr h(r) and dy dx. Outgoing coordinates can be defined by changing (x, t) → (−x, −t) in (2.4)
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