The classical transition state theory for calculating complex dissociation rates requires separation of time scales. It was shown here that this condition was satisfied for complexes with long-range interaction, such as an edge dislocation and a cluster of self-interstitial atoms in metallic materials. Hence, one could apply the equations for first-order reactions with a rescaled mean dissociation time and the cross-section of complex formation. The rescaling coefficient was the Eyring transmission coefficient. A general expression for this coefficient through the first two moments of the distribution function of dissociation times was derived. It was shown that it was equal to unity if the dividing surface between 'bound' and 'free' states was defined as that where the interaction energy was equal to the thermal energy.

Reaction Kinetics of Non-Localised Particle-Trap Complexes. A.V.Barashev, S.I.Golubov, Y.N.Osetsky, R.E.Stoller: Philosophical Magazine, 2010, 90[7-8], 897-906