The jump-length probability distribution (JLPD) in a periodic system is stu
died using the solution of the linearized Boltzmann equation with BGK colli
sion kernel. The equation is solved both by the matrix-continued-fraction m
ethod and by direct numerical simulations. The JLPDs obtained by the BGK eq
uation are compared to those derived from other kinetic models, such as the
Langevin (Fokker-Planck) model. (C) 1999 Elsevier Science B.V. All rights
reserved.