Quasi-continuum model in particle accumulation

To establish the fundamental laws of the process of the kinetics of particle accumulation in solids, initially the quasicontinuum model of a crystal was studied [107]. A one-dimensional crystal was represented in the form of a segment containing L cells with periodic boundary conditions (the ends of the segment are closed). The simulation was conducted for different dimensions L of the crystals and magnitudes I of the recombination region. The results of the simulation are given in Table 7.2. 

Inspection of a series of successive patterns for L = 200 and I = 20 [15, 107] demonstrates that complete separation was established of the crystal  

Results of calculations for a quasi-continuum one-dimensional model [107, 15] 

We recall here that estimates on the basis of a simple model of the mean number of defects in a cluster [25, 26, 28] gave Uq = rq/r = 3.43, where f is a mean distance between defects. The mean number of particles in a cluster is iV = 120. These values correlate with the values of Z7q from the computer experiment, which obtained Uq — 5 and a mean number of defects in a cluster, respectively, of about 100. (As follows from the pattern of accumulation for L = 2000 and Z = 5 with a total number of creation events of 5 x 10 [107].) 

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