  By the example of several typical thermally activated processes in atomic
clusters, organic molecules, and nanostructures, it is shown that calculations
of the corresponding pre-exponential factors in the Arrhenius law according to
the Vineyard formula are in good agreement with the molecular dynamics
simulation data for temperature dependences of characteristic times of these
processes. This "static" approach (together with the determination of the
activation energy through the examination of the potential energy hypersurface)
provides information on kinetic characteristics of the system without resorting
to numerical simulation of the time evolution, which requires large computer
resources.
