The so-called fast ignition mode is one way to ignite
the thermonuclear fuel in systems of inertial fusion and decrease
of the necessary energy of the driver. In the present work the
second stage of the process—the heating, the thermonuclear
burning initiation under the influence of a powerful ion pulse,
and distribution of the burning all over the rest of the
cylindrical system—is studied. The main purpose of the
presented calculations was to determine the threshold of the
fast ignition of the cylindrical DT cord by a heavy ion beam.