Pairwise Correlations in Layered Close-Packed Structures
This work provides incremental improvements for researchers in materials science or statistical physics studying stacking statistics in layered structures.
The authors tackled the problem of calculating pairwise correlation functions in layered close-packed structures by developing analytical expressions based on a hidden Markov model, enabling fast and accurate computations that agree with prior work and yield new relations.
Given a description of the stacking statistics of layered close-packed structures in the form of a hidden Markov model, we develop analytical expressions for the pairwise correlation functions between the layers. These may be calculated analytically as explicit functions of model parameters or the expressions may be used as a fast, accurate, and efficient way to obtain numerical values. We present several examples, finding agreement with previous work as well as deriving new relations.