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PreprintarXiv licencearXiv

A 3D-ΔPDF-like measure for hidden anisotropy in disordered materials

Abstract

We introduce a simple correlation function for quantifying hidden local anisotropy in disordered materials. Developed in analogy with the three-dimensional difference pair distribution function (3D-ΔPDF), our approach identifies structural correlations that are lost through averaging over bulk symmetry. The same approach might be applied to models of disordered crystals, amorphous materials, and liquids alike.

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BibTeX
@misc{barker20263dδpdflike,
  title = {{A 3D-$Δ$PDF-like measure for hidden anisotropy in disordered materials}},
  author = {Helena Barker and Thomas C. Nicholas and Andrew L. Goodwin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36104},
  eprint = {2610.36104},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36104},
}
RIS
TY  - UNPB
TI  - A 3D-ΔPDF-like measure for hidden anisotropy in disordered materials
AU  - Helena Barker
AU  - Thomas C. Nicholas
AU  - Andrew L. Goodwin
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.36104
UR  - https://arxiv.org/abs/2610.36104
AB  - We introduce a simple correlation function for quantifying hidden local anisotropy in disordered materials. Developed in analogy with the three-dimensional difference pair distribution function (3D-ΔPDF), our approach identifies structural correlations that are lost through averaging over bulk symmetry. The same approach might be applied to models of disordered crystals, amorphous materials, and liquids alike.
ER  -