A kinetic theory is presented to describe the occurrence of long jumps
of adsorbed molecules in a one-dimensional periodic potential. Under
the assumption of collisional energy exchange with substrate excitatio
ns to be strong enough (greater than or similar to kT), the jump lengt
h distribution is given by a simple analytic function of one parameter
, the ratio of two characteristic times: the time of flight through a
potential cell and the molecule-substrate relaxation time. It is stron
gly dependent on this ratio. The theory offers the possibility to unde
rstand the results of recent experiments. (C) 1998 Elsevier Science B.
V. All rights reserved.