Low-temperature statistical characteristics of moving dislocations

Using computer simulation techniques, we studied the distribution function ω(α) of angles α at which a dislocation meets point obstacles (stoppers) randomly distributed in the glide plane as well as the distribution function ω(l) of dislocation segment lengths l, i.e., distances between neighboring stoppers along the dislocation. The low-temperature (T⟶0) asymptotic forms for the functions ω(α) and ω(l) are obtained, and their dependences on the number N¯ of point obstacles the dislocation is suspended upon as well as on the time interval during which the dislocation moves through the network of obstacles are studied. For comparison we present data concerning the distributions ω(α) and α (l) in the initial configuration which forms as the dislocation is suspended on the network of point obstacles at the initial moment of loading, as well as data on the high-temperature (T⟶∞) asymptotic forms of the distribution functions ω(α) and ω(l).

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