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...

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.