Ignition and burn of deuterium-tritium (DT) fuel is investigated for i
nertial confinement fusion (ICF). Collisional kinetic equations descri
bing the interaction of the high energy products of the fusion reactio
ns with the plasma are solved by the particle-in-cell (PIC) method. Re
sults are compared with simpler models, such as local alpha deposition
and one-group alpha particle diffusion. Significant differences are f
ound in temperature and density distributions as they evolve during bu
rn. The total fraction of burned fuel is similar for the different mod
els as long as [rho R] >> 1 g/cm(2) and T greater than or equal to 10
keV: for [rho R] less than or equal to 1 g/cm(2) and T < 10 keV, howev
er, the kinetic simulation gives considerably lower burn. Uniform as w
ell as spark ignition configurations are simulated for initial tempera
tures and [rho R] values of practical interest and for fuel masses bet
ween 0.1 and 10 mg. In addition, optically thick configurations igniti
ng at temperatures below 5 keV are considered.