The influence of the finite velocity of energy relaxation of non-equilibriu
m holes on the heat instability development leading to a vacuum breakdown h
as been investigated. For this purpose, a new more complete self-consistent
approach has been proposed and developed which allows a description of fie
ld electron emission and energy exchange processes in high-current electron
emission. It has been shown that taking into account the spatial distribut
ion of the energy dissipation due to Nottingham's effect and the vacant sta
tes induced by the emission process lead to the effectiveness decreasing of
the Nottingham heating at the early stages of a cathode initiation of a va
cuum breakdown.