A new mechanism for the diffusion of dynamic crowdions was considered. On the basis of a model of a 1-dimensional dynamic crowdion, molecular dynamics calculations were used to clarify the peculiarities of crowdion motion. It was shown that the thermally activated correlated jumps which were observed in molecular dynamics calculations were analogous to focussed collisions. A random-walk model, with jumps of various lengths, was taken as a theoretical description of crowdion motion. A kinetic equation formalism, related to this model, was developed in order to explain the molecular dynamics results. Deviations from the Arrhenius law could also be explained as a result of extended jump lengths. A marked deviation of the mean square displacement, from a linear time dependence, was found for short times.
Focusing Mechanism of Diffusion of Dynamic Crowdions. V.A.Ryabov: Philosophical Magazine A, 2002, 82[4], 751-62