Nanoscale linear response of strongly disordered stable solids

[2607.23768] Nanoscale linear response of strongly disordered stable solids Skip to main content Search Submit Donate Log in Condensed Matter > Disordered Systems and Neural Networks arXiv:2607.23768 (cond-mat) [Submitted on 26 Jul 2026 ( v1 ), last revised 28 Aug 2026 (this version, v2)] Title: Nanoscale linear response of strongly disordered stable solids Authors: D. V. Babin , I. O. Raikov , Y. M. Beltukov View PDF HTML (experimental) Abstract: Strongly disordered solids exhibit distinctive properties at the nanoscale, where conventional continuum theory breaks down. We show that their disorder-averaged linear response can be described by a modified continuum theory in which the response coefficients are local but depend nonlocally on the structural properties. The stability criterion requires the response operator to be positive semidefinite, which naturally leads to a correlated Wishart disorder. In the limit of strong disorder, the resulting theory reduces the long-wavelength response to a scalar disorder-induced contrast field. In elasticity, this field describes the formation of a stiffened interphase around rigid nanoparticles and boundaries, whose characteristic extent is set by the nonaffine length. The predictions are confirmed by molecular-dynamics simulations of a Lennard-Jones glass and a model polymer. Direct calculations of the nonlocal elastic kernels show that their spatial range is much shorter than the extent of the stiffened interphase, demonstrating that the latter does not require long-range constitutive nonlocality. Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn) Cite as: arXiv:2607.23768 [cond-mat.dis-nn] (or arXiv:2607.23768v2 [cond-mat.dis-nn] for this version) https://doi.org/10.48550/arXiv.2607.23768 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Yaroslav Beltukov [ view email ] [v1] Sun, 26 Jul 2026 17:36:15 UTC (1,358 KB) [v2] Fri, 28 Aug 2026 12:13:29 UTC (1,231 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.dis-nn < prev | next > new | recent | 2026-07 Change to browse by: cond-mat References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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