TRAJECTORY SIMULATION OF KINETIC-EQUATIONS FOR CLASSICAL-SYSTEMS

We formulate a linear theory of physical kinetics describing the relax ation of atoms from a non-equilibrium distribution. The evolution of t he single-particle distribution function is decomposed into trajectori es, each corresponding to a different realization of a sequence of col lisions. Accumulating all possible trajectories gives the dynamics des cribed by the classical Boltzmann equation. The significance of our me thod is that the required computation time scales linearly with the nu mber of points used to sample the distribution function. This leads to the interesting possibility of extending our method to consider quant um coherences and the growth of long-range order in Bose-Einstein cond ensation where a large set of basis states may be required.