Rigid clusters in shear-thickening suspensions: a nonequilibrium critical transition

[2401.15165] Rigid clusters in shear-thickening suspensions: a nonequilibrium critical transition Skip to main content Search Submit Donate Log in Condensed Matter > Soft Condensed Matter arXiv:2401.15165 (cond-mat) [Submitted on 26 Jan 2024 ( v1 ), last revised 7 Feb 2025 (this version, v5)] Title: Rigid clusters in shear-thickening suspensions: a nonequilibrium critical transition Authors: Aritra Santra , Michel Orsi , Bulbul Chakraborty , Jeffrey F. Morris View PDF HTML (experimental) Abstract: The onset and growth of rigid clusters in a two-dimensional (2D) suspension in shear flow are studied by numerical simulations. The suspension exhibits the lubricated-to-frictional rheology transition, but the key results here are for stresses above the levels that cause extreme shear-thickening. At large solid fraction, $\phi$, but below the stress-dependent jamming fraction, we find a critical $\phi_{c}(\sigma,\mu)$ where $\sigma$ is a dimensionless shear stress and $\mu$ is the interparticle friction coefficient. For $\phi>\phi_c$, the proportion of particles in rigid clusters grows sharply, as $f_{\rm rig} \sim |\phi-\phi_{c}|^{\beta}$ with $\beta=1/8$. The fluctuations in the fraction of particles in rigid clusters yield a susceptibility measure $\chi_{\rm rig} \sim |\phi-\phi_{c}|^{-\gamma}$ with $\gamma = 7/4$. The system is thus found to exhibit criticality. The results are shown to depend on an effective field $h(\mu)$, which provides data collapse near $\phi_c$ for both $f_{\rm rig}$ and $\chi_{\rm rig}$. This behavior occurs over a range of stresses, with $\phi_c(\sigma,\mu)$ increasing as the stress decreases. Subjects: Soft Condensed Matter (cond-mat.soft) ; Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2401.15165 [cond-mat.soft] (or arXiv:2401.15165v5 [cond-mat.soft] for this version) https://doi.org/10.48550/arXiv.2401.15165 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1103/PhysRevResearch.7.013275 Focus to learn more DOI(s) linking to related resources Submission history From: Michel Orsi [ view email ] [v1] Fri, 26 Jan 2024 19:18:58 UTC (49,369 KB) [v2] Sun, 18 Feb 2024 19:23:23 UTC (49,397 KB) [v3] Mon, 28 Oct 2024 15:58:30 UTC (47,992 KB) [v4] Thu, 12 Dec 2024 15:13:36 UTC (48,141 KB) [v5] Fri, 7 Feb 2025 10:27:27 UTC (48,129 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.soft < prev | next > new | recent | 2024-01 Change to browse by: cond-mat cond-mat.stat-mech 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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