Modelling of the diffusion of atoms in the presence of the mobile and immobile traps and under the influence of the external stochastic force

С. М. Захаров, В. В. Морозович, Ю. О. Ляшенко

Abstract


The influence of the external stochastic effect on the re-distribution of the diffusing atoms in the cubic lattice at presence of flows had been studied with the use of the Monte – Carlo method. We considered the case in which the mobile and immobile traps are distributed randomly. It was shown that, the mean value of the stochastic component has no influence on the distribution of the diffusing atoms. The existence of traps alters the type of the concentration profiles: we found that the Gauss distribution at the trap concentration C < 10-3 switches to the exponential dependence at C > 10-3. The mobility of traps exerts an influence on the shape of the concentration distributions. The additional local maximums in the concentration distributions of the diffusing atoms emerge due to the action of the external stochastic force. In the case when the traps are mobile the concentration profiles become less distinct than in the case when the traps are immobile at the same duration of random walks of the migrating atoms. The additional maximum of the distribution function of the migrating atoms emerges with the setting up the high values of the mobile trap concentration. The position of this maximum depends on the intensity of the trap displacement.


Keywords


external force; stochastic drift; diffusion; traps; correlation effects

References


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