Out-of-Equilibrium Heating of Electron Liquid: Fermionic and Bosonic Temperatures

We investigate out-of-the equilibrium properties of the electron liquid in a two-dimensional disordered superconductor subject to the electric bias and temperature gradient. We calculate kinetic coefficients and Nyquist noise, and find that they are characterized by distinct effective temperatures: T_e, characterizing single-particle excitations, T_Cp, describing the Cooper pairs, and T_eh, corresponding to electron-hole or dipole excitations. Varying the ratio between the electric j and thermal j_th currents and boundary conditions one can heat different kinds of excitations tuning their corresponding temperatures. We propose the experiment to determine these effective temperatures.