Results are presented from the one-dimensional MHD simulation of a cap
illary discharge. Discharges with parameters close to those in experim
ents in which the discharge plasma in the capillarics was used as a la
sing media for soft X-ray emission are studied. Such effects as therma
l conductivity, Joule heating of the plasma inside the channels, heati
ng of the walls of the channels by the heat flow from the hot discharg
e plasma, ablation of the wall material, and pinching of the plasma in
side the channel are taken into account. For discharges in a channel f
illed with a preionized gas, the simulations predict that, at the mome
nt when the converging shock wave reaches the channel axis, as a resul
t of gas dynamic cumulation, a high-density hot kernel is formed near
the axis. We assume the conclusion is drawn that the amplification of
the radiation observed in experiments can be caused by the formation o
f similar structures. When the discharge develops in an initially evac
uated channel, after a short transient process, the plasma is in a dyn
amic and thermal equilibrium with a relatively low temperature. The pr
oblem of the production of hydrogen C5+ ions in a relatively cool disc
harge plasma formed in an initially evacuated channel is discussed wit
h runaway electrons taken into account.