  It has been shown in experiments that self-climb of prismatic dislocation
loops by pipe diffusion plays important roles in their dynamical behaviors,
e.g., coarsening of prismatic loops upon annealing, as well as the physical and
mechanical properties of materials with irradiation. In this paper, we show
that this dislocation dynamics self-climb formulation that we derived in Ref.
[1] is able to quantitatively describe the properties of self-climb of
prismatic loops that were observed in experiments and atomistic simulations.
This dislocation dynamics formulation applies to self-climb by pipe diffusion
for any configurations of dislocations. For small circular prismatic loops, our
formulation recovers the available models in the literature based on linearly
mobility relation driven by the interaction force between the loops and an
external stress gradient. We also present DDD implementation method of this
self-climb formulation. Simulations performed show evolution, translation and
coalescence of prismatic loops as well as prismatic loops driven by an edge
dislocation by self-climb motion and the elastic interaction between them.
These results are in excellent agreement with available experimental and
atomistic results. We have also performed systematic analyses of the behaviors
of a prismatic loop under the elastic interaction with an infinite, straight
edge dislocation by motions of self-climb and glide.
