The equal-time or static temperature correlation function from fluctuations originated at a surface is computed. Such fluctuations come from a random heat flux appearing in Newton's law of cooling. The correlation is studied in the real space and for different values of the Nusselt number.

We study the propagation of the temperature fluctuations in a system in the presence of an interface. Such fluctuations originate from surface noise sources which are introduced through the random parts of the interfacial currents which satisfy fluctuation-dissipation theorems. The formal...