{
  "abstract": "The stress tensor resolved in wavevector $\\qvec$ and time $t$, $σ_{αβ}(\\qvec,t)$, gives access to the elastic moduli of amorphous solids as a function of the probed length scale, and to the long-range stress correlations that distinguish an amorphous solid from a liquid. Its evaluation requires the contribution of every interacting pair and therefore an interface to the force loop of the molecular dynamics code. In the current work, we present: i) an optimized implementation of the LAMMPS~\\cite{lammps} module for calculating $σ_{αβ}(\\qvec,t)$, in which trigonometric functions are calculated only for the basic wavevectors and, in addition, all the relevant wavevectors are supplied as an explicit list rather than generated as a full grid, so that only the wavevectors of interest are computed and stored, and ii) a validation protocol for the code illustrated for a two-dimensional polydisperse Lennard-Jones (2DpLJ) glass-forming liquid. Based on these technical achievements we elucidated how the affine moduli for the 2DpLJ model depend on the norm $q$ of the wavevector. In particular, we demonstrate that the longitudinal affine modulus shows a minimum near $q_\\text{max}$ corresponding to the main peak of the structure factor. Our data also point to the peaks in the $q$-dependencies of vibrational frequencies well below $q_\\text{max}$ for both transverse and longitudinal modes. The potential relevance of this feature to the ``boson peak'' is discussed as well.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34206",
  "author_total": 4,
  "authors": [
    {
      "name": "Olivier Benzerara"
    },
    {
      "name": "Jörg Baschnagel"
    },
    {
      "name": "Alexander N. Semenov"
    },
    {
      "name": "Liudmyla Klochko"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dtyqghd5r3zqy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34206",
  "fulltext_url": null,
  "id": "dtyqghd5r3zqy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34206",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.soft"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "openalex",
      "2505|Material Dynamics and Properties"
    ]
  ],
  "openalex": "W7223881268",
  "pdf_url": "https://arxiv.org/pdf/2610.34206",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dtyqghd5r3zqy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34206",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34206"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    }
  ],
  "title": "kstress: a LAMMPS package for calculating the 2D wavevector-dependent stress tensor and its anisotropy in amorphous solids",
  "title_text": "kstress: a LAMMPS package for calculating the 2D wavevector-dependent stress tensor and its anisotropy in amorphous solids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/dtyqghd5r3zqy",
  "venue": "arXiv",
  "versions": []
}