Steady states of holographic interfaces

We find stationary thin-brane geometries that are dual to far-from-equilibrium steady states of two-dimensional holographic interfaces. The flow heat at the boundary agrees with result CFT and known energy-transport coefficients model. argue by entangling outgoing excitations interface produces coarse-grained entropy a maximal rate, point out similarities differences double-sided black funnels. non-compact, non-Killing far from-equilibrium event horizon our solutions coincides local (apparent) on colder side, but lies behind it hotter side interface. also show thermal conductivity pair interfaces jumps Hawking-Page phase transition from regime described classical scatterers quantum in which flows unobstructed.