Fig. 3
Nonequilibrium phase diagram of slip behaviors for different temperatures \(\:T\) and strain rates \(\dot{\gamma }\). Note that the \(x\)-axis is the reciprocal temperature, \(\:1000/T\). The black dots, the red crosses and the blue squares denote the quiescent phase, the fast-runaway phase, and the slow-avalanche phase, respectively. Different color of contours in the background indicates the ratio, \(\:\frac{\varDelta{t}_\text{Slip}}{\varDelta{t}_\text{Diffusion}}\sim\frac{\rho{D}_{T}}{\dot{\gamma\:}}\) where \(\rho \simeq 3 \times 10^{{15}} \:{\text{m}}^{{ - 2}}\) is the empirical dislocation density and \(\:{D}_{T}={D}_{0}{e}^{-\frac{Q}{RT}}\) is the temperature-dependent diffusion coefficient with \(D_{0} \simeq 3.77 \times 10^{8} \:{\text{m}}^{2} /{\text{s}}\) and \(Q \simeq 42.1\:{\text{kcal}}/{\text{mol}}\). The right-hand side is the ratio of the typical slip time scale, \(\:\varDelta{t}_\text{slip}\sim\frac{{b}^{2}\rho}{\dot{\gamma}}\), to the typical diffusion time scale \(\:\varDelta{t}_\text{Diffusion}\sim\frac{{b}^{2}}{{D}_{T}}\), where \(\:b\) is the magnitude of a Burger’s vector. Reddish color shows the diffusion-dominated regime and bluish color shows the slip-dominated regime. The slow-avalanche phase and fast-runaway phase are in an intermediate area when two time scales are roughly equal to each other, \(\:\varDelta{t}_\text{Slip}\approx\varDelta{t}_\text{Diffusion}\).
