Diffusion-controlled particle aggregation under permanent source

The obtained analytical results create a solid basis for the interpretation of experimental data on defect irradiation kinetics in solids of arbitrary nature, as well as in the low-dimensional systems [15, 57]. 

2 DIFFUSION-CONTROLLED PARTICLE AGGREGATION UNDER PERMANENT SOURCE 

There was no One, two, three, and away, but they began running when they liked and left off when they liked, so that it was not easy to know when the race was over. 

The formalism presented in Section 7.1 is generalized here by incorporating the elastic attraction between similar particles (defects) which causes 

Of special interest in the recent years was the kinetics of defect radiation-induced aggregation in a form of colloids, in alkali halides MeX irradiated at high temperatures and high doses bubbles filled with X2 gas and metal particles with several nanometers in size were observed [58] more than once. Several theoretical formalisms were developed for describing this phenomenon, which could be classified as three general categories (i) macroscopic theory [59-62], which is based on the rate equations for macroscopic defect concentrations (ii) mesoscopic theory [63-65] operating with space-dependent local concentrations of point defects, and lastly (iii) discussed in Section 7.1 microscopic theory based on the hierarchy of equations for many-particle densities (in principle, it is infinite and contains complete information about all kinds of spatial correlation within different clusters of defects). 

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Diffusion-controlled particle aggregation under permanent source... 

In the last several decades, both experimental data and theoretical studies [5, 9, 13-15] have revealed the effect of similar defect aggregation in the course of the bimolecular A+B —> 0 reaction under permanent particle source (irradiation) - the phenomenon similar to that discussed in previous Chapters for the diffusion-controlled concentration decay. Radiation-induced aggregation of similar defects being observed experimentally at 4 K after prolonged X-ray irradiation [16] via both anomalously high for random distribution concentration of dimer F2 centres (two nearest F centres) and directly in the electronic microscope [17], permits to accumulate defect concentrations whose saturation value exceed by several times that of the Poisson distribution. 

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