We analyse high-field current fluctuations in degenerate conductors by mapp
ing the electronic Fermi-liquid correlations at equilibrium to their semi-c
lassical non-equilibrium form. Our resulting Boltzmann description is appli
cable to diffusive mesoscopic wires. We derive a non-equilibrium connection
between thermal fluctuations of the current and resistive dissipation. In
the weak-held limit this is the canonical fluctuation-dissipation theorem.
Away from equilibrium, the connection enables explicit calculation of the e
xcess 'hot-electron' contribution to the thermal spectrum. We show that exc
ess thermal noise is strongly inhibited by Pauli exclusion. This behaviour
is generic to the semi-classical metallic regime.