Rigid clusters in shear-thickening suspensions: A nonequilibrium critical transition
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...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013275 |
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| author | Aritra Santra Michel Orsi Bulbul Chakraborty Jeffrey F. Morris |
| author_facet | Aritra Santra Michel Orsi Bulbul Chakraborty Jeffrey F. Morris |
| author_sort | Aritra Santra |
| collection | DOAJ |
| description | 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, ϕ, but below the stress-dependent jamming fraction, we find a critical ϕ_{c}(σ,μ) where σ is a dimensionless shear stress and μ is the interparticle friction coefficient. For ϕ>ϕ_{c}, the proportion of particles in rigid clusters grows sharply, as f_{rig}∼|ϕ−ϕ_{c}|^{β} with β=1/8. The fluctuations in the fraction of particles in rigid clusters yield a susceptibility measure χ_{rig}∼|ϕ−ϕ_{c}|^{−γ} with γ=7/4. The system is thus found to exhibit criticality. The results are shown to depend on an effective field h(μ), which provides data collapse near ϕ_{c} for both f_{rig} and χ_{rig}. This behavior occurs over a range of stresses, with ϕ_{c}(σ,μ) increasing as the stress decreases. |
| format | Article |
| id | doaj-art-be3ee1429c2e4c948ebaa109f16ad5b5 |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | American Physical Society |
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| series | Physical Review Research |
| spelling | doaj-art-be3ee1429c2e4c948ebaa109f16ad5b52025-08-20T03:01:57ZengAmerican Physical SocietyPhysical Review Research2643-15642025-03-017101327510.1103/PhysRevResearch.7.013275Rigid clusters in shear-thickening suspensions: A nonequilibrium critical transitionAritra SantraMichel OrsiBulbul ChakrabortyJeffrey F. MorrisThe 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, ϕ, but below the stress-dependent jamming fraction, we find a critical ϕ_{c}(σ,μ) where σ is a dimensionless shear stress and μ is the interparticle friction coefficient. For ϕ>ϕ_{c}, the proportion of particles in rigid clusters grows sharply, as f_{rig}∼|ϕ−ϕ_{c}|^{β} with β=1/8. The fluctuations in the fraction of particles in rigid clusters yield a susceptibility measure χ_{rig}∼|ϕ−ϕ_{c}|^{−γ} with γ=7/4. The system is thus found to exhibit criticality. The results are shown to depend on an effective field h(μ), which provides data collapse near ϕ_{c} for both f_{rig} and χ_{rig}. This behavior occurs over a range of stresses, with ϕ_{c}(σ,μ) increasing as the stress decreases.http://doi.org/10.1103/PhysRevResearch.7.013275 |
| spellingShingle | Aritra Santra Michel Orsi Bulbul Chakraborty Jeffrey F. Morris Rigid clusters in shear-thickening suspensions: A nonequilibrium critical transition Physical Review Research |
| title | Rigid clusters in shear-thickening suspensions: A nonequilibrium critical transition |
| title_full | Rigid clusters in shear-thickening suspensions: A nonequilibrium critical transition |
| title_fullStr | Rigid clusters in shear-thickening suspensions: A nonequilibrium critical transition |
| title_full_unstemmed | Rigid clusters in shear-thickening suspensions: A nonequilibrium critical transition |
| title_short | Rigid clusters in shear-thickening suspensions: A nonequilibrium critical transition |
| title_sort | rigid clusters in shear thickening suspensions a nonequilibrium critical transition |
| url | http://doi.org/10.1103/PhysRevResearch.7.013275 |
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