Many-particle effects in accumulation kinetics of Frenkel defects in crystals

The analytical theory describing accumulation of immobile Frenkel defects created under irradiation in crystals and based on a hierarchy of equations for many-particle distribution functions of defect densities is presented and developed. Many-particle effects resulting in a radiation-induced aggregation of similar neutral defects (atoms or vacancies) are treated in detail. Their role in accumulation kinetics and the saturation concentration for 1D and 3D cases is discussed. Comparisons with earlier theories and computer simulations are carried out.