  We theoretically study how excitations due to spontaneous emission and trap
fluctuations combine with elastic collisions to change the momentum
distribution of a trapped non-degenerate one-dimensional (1D) Bose gas. Using
calculated collisional relaxation rates, we first present a semi-analytical
model for the momentum distribution evolution to get insight into the main
processes responsible for the system dynamics. We then present a Monte-Carlo
simulation that includes features that cannot be handled analytically, and
compare its results to experimental data. These calculations provide a baseline
for how integrable 1D Bose gases evolve due to heating processes in the absence
of diffractive collisions that might thermalize the gases.
