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Fig. 4 | Materials Theory

Fig. 4

From: On the three-dimensional spatial correlations of curved dislocation systems

Fig. 4

The spatial form of the correlation functions corresponding to the screw-screw, screw-edge, and edge-edge components. Shown are correlation functions calculated at 0.3% strain and a convolution length of 164 nm. The x-axis represents the spatial direction parallel to screw dislocations, and the y-axis represents the spatial direction parallel to edge dislocations. The red regions are those separation distances for which ρi(r)ρj(r+Δr) tends to underestimate the two-point density, and the blue regions are those where the two-point density is overestimated. This leads to a simple geometric interpretation in the case of the screw-screw and edge-edge components of the densities, but not so in the case of the screw-edge component. Rather than showing a simple circle with radius L as in Fig. 3, we here show the intersection of the plane in view ({111} type) with the support of wL (a cartesian cube)

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