Critical scaling and soft granular rheology of frictionless non-Brownian suspensions across jamming
Abstract
We carry out 3D computer simulations to study suspension rheology across the jamming transition for deformable non-Brownian frictionless particles. The simulations are carried out at constant shear rates and suspension densities (γ̇ , ϕ), for polydisperse spherical particles. The suspension is probed at densities in the neighbourhood of the jamming point ϕc , as well as across much wider density ranges. We carry out critical scaling analysis of our close-to-jamming data and confirm that shear-driven jamming is a second-order critical phenomenon requiring strong corrections on shear. We build maps of the local strain rate exponent to classify flow regimes and examine the effect of the corrections on the suspension rheology. Further, using the critical scaling jamming density, we carry out soft granular rheological scaling over the wider density range, demonstrating an excellent data collapse. The soft granular rheology relations are able to predict our data over almost the entire dynamical and density range.
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BibTeX
@misc{vernekar2026critical,
title = {{Critical scaling and soft granular rheology of frictionless non-Brownian suspensions across jamming}},
author = {Rohan Vernekar and Romain Mari and Bruno Chareyre and Hugues Bodiguel},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03110},
eprint = {2609.03110},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03110},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Critical scaling and soft granular rheology of frictionless non-Brownian suspensions across jamming
AU - Rohan Vernekar
AU - Romain Mari
AU - Bruno Chareyre
AU - Hugues Bodiguel
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.03110
UR - https://arxiv.org/abs/2609.03110
AB - We carry out 3D computer simulations to study suspension rheology across the jamming transition for deformable non-Brownian frictionless particles. The simulations are carried out at constant shear rates and suspension densities (γ̇ , ϕ), for polydisperse spherical particles. The suspension is probed at densities in the neighbourhood of the jamming point ϕ_c , as well as across much wider density ranges. We carry out critical scaling analysis of our close-to-jamming data and confirm that shear-driven jamming is a second-order critical phenomenon requiring strong corrections on shear. We build maps of the local strain rate exponent to classify flow regimes and examine the effect of the corrections on the suspension rheology. Further, using the critical scaling jamming density, we carry out soft granular rheological scaling over the wider density range, demonstrating an excellent data collapse. The soft granular rheology relations are able to predict our data over almost the entire dynamical and density range.
ER -