A one-dimensional (1-D) physical model of the low-current-density stea
dy-state vacuum are is proposed. The model is based on the continuity
equations for ions and electrons and the energy balance for the discha
rge system; the electric potential distribution in the discharge gap i
s assumed to be nonmonotonic. It is supposed that the ion current at t
he cathode is generated within the cathode potential fall region due t
o the ionization of the evaporated atoms by the plasma thermal electro
ns having Boltzmann's energy distribution. The model offers a satisfac
tory explanation for the principal regularities of a hot-cathode vacuu
m are with diffuse attachment of the current. The applicability of the
model proposed to the explanation of some processes occurring in a va
cuum are, such as the flow of fast ions toward the anode, the current
cutoffs and voltage bursts, and the backward motion of a cathode spot
in a transverse magnetic field is discussed.