A model of leader breakdown in air is considered. The channel is formed due
to heating of the streamer trace in the field of the streamer zone. A prev
ious model of a streamer is generalized with allowance for recombination of
charged particles. A mathematical model of heating of the streamer trace i
s developed. It is demonstrated that, at a given potential, the ignition of
the channel is provided by streamers that possess a certain charge and the
corresponding propagation velocity. This velocity determines the propagati
on velocity of a steady leader. The dependence of the leader velocity on th
e cloud potential is found. The results obtained are compared with the data
from in-situ observations and laboratory studies. (C) 2000 MAIK "Nauka/Int
erperiodica".