A Unified Glassy Rheology for Granular Matter
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arXiv
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| Main Authors: | , , , , , , , , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866918448948314112 |
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| author | Zeng, Zhikun Xu, Jiazhao Li, Hanyu Zhang, Shiang Yuan, Houfei Zhou, Chijin Dai, Xueliang Lu, Haiyang Wang, Xin Zhao, Jun Jiang, Yonglun Ge, Zhuan Huang, Gang Xia, Chengjie Sun, Jianqi Xi, Yan Wang, Yujie |
| author_facet | Zeng, Zhikun Xu, Jiazhao Li, Hanyu Zhang, Shiang Yuan, Houfei Zhou, Chijin Dai, Xueliang Lu, Haiyang Wang, Xin Zhao, Jun Jiang, Yonglun Ge, Zhuan Huang, Gang Xia, Chengjie Sun, Jianqi Xi, Yan Wang, Yujie |
| contents | Granular flows are ubiquitous in nature and industrial applications, yet a complete continuum theory remains a long-standing challenge. The leading empirical approach, μ(I) rheology, lacks microscopic foundations and becomes multivalued in dense, slowly sheared flows where nonlocal corrections are required. Exploiting state-of-the-art high-speed X-ray tomography to investigate microscopic dynamics of dense granular flows in a Couette geometry, we establish a new, universal constitutive law spanning quasi-static to inertial regimes based on structural relaxation, resolving the fundamental difficulty in the original μ(I) framework. By further establishing a non-equilibrium statistical framework for granular flows, we demonstrate an intrinsic analogy between driven granular matter and hard-sphere liquids owing to their identical Carnahan-Starling equation of state, naturally explaining our rheological approach and the emergence of glassy behaviors. Our framework unifies granular rheology with the broader physics of disordered systems and provides a complete, microscopically-based theoretical framework for dense granular flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14109 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Unified Glassy Rheology for Granular Matter Zeng, Zhikun Xu, Jiazhao Li, Hanyu Zhang, Shiang Yuan, Houfei Zhou, Chijin Dai, Xueliang Lu, Haiyang Wang, Xin Zhao, Jun Jiang, Yonglun Ge, Zhuan Huang, Gang Xia, Chengjie Sun, Jianqi Xi, Yan Wang, Yujie Soft Condensed Matter Statistical Mechanics Granular flows are ubiquitous in nature and industrial applications, yet a complete continuum theory remains a long-standing challenge. The leading empirical approach, μ(I) rheology, lacks microscopic foundations and becomes multivalued in dense, slowly sheared flows where nonlocal corrections are required. Exploiting state-of-the-art high-speed X-ray tomography to investigate microscopic dynamics of dense granular flows in a Couette geometry, we establish a new, universal constitutive law spanning quasi-static to inertial regimes based on structural relaxation, resolving the fundamental difficulty in the original μ(I) framework. By further establishing a non-equilibrium statistical framework for granular flows, we demonstrate an intrinsic analogy between driven granular matter and hard-sphere liquids owing to their identical Carnahan-Starling equation of state, naturally explaining our rheological approach and the emergence of glassy behaviors. Our framework unifies granular rheology with the broader physics of disordered systems and provides a complete, microscopically-based theoretical framework for dense granular flow. |
| title | A Unified Glassy Rheology for Granular Matter |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2604.14109 |