Discontinuous change of viscosity in a sheared granular gas with velocity-dependent restitution
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916022196371456 |
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| author | Kikuchi, Makoto R. Kobayashi, Yuria Takada, Satoshi |
| author_facet | Kikuchi, Makoto R. Kobayashi, Yuria Takada, Satoshi |
| contents | We investigate the rheology of a sheared granular gas composed of hard spheres with a velocity-dependent restitution coefficient. Using kinetic theory, we derive the shear viscosity and show that it exhibits an S-shaped dependence on the shear rate when the restitution coefficient switches between two values depending on the collision velocity. As a result, a discontinuous change of viscosity emerges between low- and high-shear regimes, both characterized by Bagnold-type scaling. While the phenomenology resembles the Wyart-Cates scenario for dense suspensions, the present transition arises purely from kinetic effects without frictional contacts or jamming. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19605 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Discontinuous change of viscosity in a sheared granular gas with velocity-dependent restitution Kikuchi, Makoto R. Kobayashi, Yuria Takada, Satoshi Soft Condensed Matter Statistical Mechanics We investigate the rheology of a sheared granular gas composed of hard spheres with a velocity-dependent restitution coefficient. Using kinetic theory, we derive the shear viscosity and show that it exhibits an S-shaped dependence on the shear rate when the restitution coefficient switches between two values depending on the collision velocity. As a result, a discontinuous change of viscosity emerges between low- and high-shear regimes, both characterized by Bagnold-type scaling. While the phenomenology resembles the Wyart-Cates scenario for dense suspensions, the present transition arises purely from kinetic effects without frictional contacts or jamming. |
| title | Discontinuous change of viscosity in a sheared granular gas with velocity-dependent restitution |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2603.19605 |