Figure 1

(a) Ratio of $L_{\mathrm{SiV}}/L_{\mathrm{SiSi}}$ for Si in Ni, showing the crossover from solute-drag below 1060 K to vacancy-exchange dominated diffusion above 1060 K, and (b) change in crossover temperature with tetragonal strain $e_3=-2e_1=-2e_2$ along parallel $\left[001\right]$ and perpendicular $\langle 100\rangle$ directions.Reuse & Permissions

Figure 2

Initial flow streams from Eq. (1) around a dislocation for (a) vacancies, (b) Si 50 K below the effective crossover, (c) Si at the effective crossover, and (d) Si 50 K above the effective crossover temperature. The initial Si and vacancy distribution is homogeneous, allowing fluxes to be found analytically throughout all space. The spatial dimensions are in units of the Burgers vector (2.49 Å) for an edge dislocation in Ni placed at the origin, with the $\left[1\overline{1}0\right]$ horizontal and $\left[111\right]$ vertical, in the $\left(11\overline{2}\right)$ plane. The coloring shows the cosine of the flow direction with the radial vector $\widehat{r}$, where orange is flow away from the dislocation core, blue is flow to the core, and white is orthogonal to $\widehat{r}$.Reuse & Permissions

Figure 3

Values of the prefactors associated with five frequencies in THz (top) and relative to ${\nu }^{\left(0\right)}$ (bottom). The jumps are for a solute atom ${\nu }^{\left(2\right)}$, of the vacancy in the bulk ${\nu }^{\left(0\right)}$, of a rotation from a first to another first nearest neighbor site ${\nu }_{111}^{\left(1\right)}$, to a second nearest neighbor site ${\nu }_{121}^{\left(1\right)}$ and from a second to a first nearest neighbor site ${\nu }_{112}^{\left(1\right)}$. The modes considered are ordered by decreasing frequencies; lower frequencies correspond to less localized vibrational modes.Reuse & Permissions

Figure 4

Ratio of $L_{\mathrm{SiV}}/L_{\mathrm{SiSi}}$ for dilute Si in Ni as a function of the temperature. For each curve, the value of each of the prefactors takes either the value $3/2{\nu }^{\left(0\right)}$ or $2/3{\nu }^{\left(0\right)}$.Reuse & Permissions