Comparison of compression vs shearing near jamming, for a simple model of athermal frictionless disks in suspension
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866914998693920768 |
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| author | Peshkov, Anton Teitel, S. |
| author_facet | Peshkov, Anton Teitel, S. |
| contents | Using a simplified model for a non-Brownian suspension, we numerically study the response of athermal, overdamped, frictionless disks in two dimensions to isotropic and uniaxial compression, as well as to pure {\color{black}and simple} shearing, all at finite constant strain rates $\dotε$. We show that isotropic and uniaxial compression result in the same jamming packing fraction $ϕ_J$, while pure shear and simple shear induced jamming occurs at a slightly higher $ϕ_J^*$, consistent with that found previously for simple shearing. A critical scaling analysis of pure shearing gives critical exponents consistent with those previously found for both isotropic compression and simple shearing. Using orientational order parameters for contact bond directions, we compare the anisotropy of the force and contact networks at both lowest nematic order, as well as higher $2n$-fold order. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2205_12845 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Comparison of compression vs shearing near jamming, for a simple model of athermal frictionless disks in suspension Peshkov, Anton Teitel, S. Soft Condensed Matter Using a simplified model for a non-Brownian suspension, we numerically study the response of athermal, overdamped, frictionless disks in two dimensions to isotropic and uniaxial compression, as well as to pure {\color{black}and simple} shearing, all at finite constant strain rates $\dotε$. We show that isotropic and uniaxial compression result in the same jamming packing fraction $ϕ_J$, while pure shear and simple shear induced jamming occurs at a slightly higher $ϕ_J^*$, consistent with that found previously for simple shearing. A critical scaling analysis of pure shearing gives critical exponents consistent with those previously found for both isotropic compression and simple shearing. Using orientational order parameters for contact bond directions, we compare the anisotropy of the force and contact networks at both lowest nematic order, as well as higher $2n$-fold order. |
| title | Comparison of compression vs shearing near jamming, for a simple model of athermal frictionless disks in suspension |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2205.12845 |