The time behaviour of vibrational predesorption is described by using
classical methods of non-linear Hamiltonian dynamics in terms of a 2D
model, where desorbing trajectories are shown to undergo a chaotic mot
ion. Results for CH3F physisorbed on NaCl are presented. The method is
shown to be of general use for infrequent events in Surface Science,
which can be modelled by 2D Hamiltonians and whose time duration is la
rger than that of a feasible simulation.