Changes in the dislocation distribution were studied in single crystals that were subjected to deformation by uniaxial compression. The dislocation ensemble was found to be of chaotic homogeneous type. Contact interactions between dislocations predominated and a linear relationship was observed for the spacing between dislocations, as a function of the length of dislocation segments; for barriers of arbitrary type. An equation was derived for the probability density function of the fraction of mobile dislocation segments. The solution to the equation was a normal distribution law. This solution could be adapted to parameters that were functions of the dislocation density or the spacing between dislocations. Experimental histograms for the spacing between dislocations, and between arbitrary barriers, obeyed the log-normal law for all degrees of reduction.

Evolution of Distribution of Dislocations in Ni3Ge Single Crystals During Deformation. Y.A.Abzaev: Russian Physics Journal, 2003, 46[5], 504-9