Apply the stochastic Peierls–Nabarro model to hydrogen–dislocation interactions

Determine whether the stochastic Peierls–Nabarro model can be applied to describe the interaction between hydrogen atoms and dislocations, including the effects of stochastic hydrogen distributions on dislocation-core properties.

Background

The paper notes that hydrogen atoms may be distributed stochastically within a dislocation core in a manner analogous to compositional randomness in high-entropy alloys. A stochastic Peierls–Nabarro model has previously been developed to capture random perturbations of the interplanar potential and the resulting variations in dislocation width, Peierls stress, and Peierls energy.

The unresolved question is whether that stochastic framework can be transferred to hydrogen–dislocation interactions. Resolving it would provide a way to model hydrogen-induced fluctuations in dislocation-core structure and lattice resistance beyond the deterministic hydrogen-informed Rice–Beltz framework developed in the paper.