We consider the dynamics in phase space in which particles follow Newtonian
trajectories that are randomly interrupted by collisions which equilibrate
both the velocity and position of the particles. Collisions are assumed to
be statistically independent events of zero duration and the intercollisio
n rime is a random variable with a negative exponential distribution. For t
his model, we derive an analytical expression for the Laplace transform of
the survival probability and quadrature expressions for mean first-passage
times. [S1063-651X(99)01103-4].