There are works on dependence of dislocation density in quartz on the distance to fault. https://www.sciencedirect.com/science/article/pii/S0191814111001969
Is there any dependence on regimes of dynamic recrystallization?
In general, in dynamic recrystallization (DRX), strain-free nuclei with very low dislocation density are formed due to grain boundary bulging+subgrain rotation. Subsequently, due to co-deformation by their neighboring grains, nuclei gain dislocation density and undergo a certain extent of hardening. I am not sure whether previous studies have separately characterized the extent of hardening during bulging and subgrain rotation. During grain boundary migration, strain-free regions with low dislocation density are left behind by sweeping grain boundaries, and hence, the dislocation density in growing grains reduces, leading to softening.
Some good references to understand the mechanics of DRX are:
Article Dynamic and Post-Dynamic Recrystallization under Hot, Cold a...
See Section 3.2 in above. The reference attached below is helpful for quartz.
Article Dynamic recrystallization of quartz: Correlation between nat...