%0 Journal Article %T Electron heating in metallic resistors at sub-Kelvin temperature %A Huard, B. %A Pothier, H. %A Esteve, D. %A Nagaev, K. E. %J Phys. Rev. B %D 2007 %V 76 %F Huard_etal2007 %O Recommended by Klapwijk as example for writing the article on the HEB model. %O exported from refbase (https://db.rplab.ru/refbase/show.php?record=936), last updated on Thu, 28 Apr 2016 17:46:44 -0500 %X In the presence of Joule heating, the electronic temperature in a metallic resistor placed at sub-Kelvin temperatures can significantly exceed the phonon temperature. Electron cooling proceeds mainly through two processes: electronic diffusion to and from the connecting wires and electron-phonon coupling. The goal of this paper is to present a general solution of the problem in a form that can easily be used in practical situations. As an application, we compute two quantities that depend on the electronic temperature profile: the second and the third cumulant of the current noise at zero frequency, as a function of the voltage across the resistor. We also consider time-dependent heating, an issue relevant for experiments in which current pulses are used, for instance, in time-resolved calorimetry experiments. %K electron heating in resistor %K HEB distributed model %K HEB model %K hot electrons %R 10.1103/PhysRevB.76.165426 %U http://dx.doi.org/10.1103/PhysRevB.76.165426 %U https://doi.org/10.1103/PhysRevB.76.165426 %P 165426(1-9)