AI Article Synopsis
- The study investigates the behavior of soft-core frictionless disks as they approach the athermal jamming transition, focusing on viscosity changes.
- Through numerical simulations, the researchers demonstrate that viscosity diverges near jamming in a way that resembles hard-core particle systems, regardless of the soft-core interactions involved.
- A mapping technique is developed to relate soft-core and hard-core particles, allowing derivation of a formula that connects the non-linear rheology above jamming with the viscosity behavior below jamming.
Article Abstract
We consider the rheology of soft-core frictionless disks in two dimensions in the neighborhood of the athermal jamming transition. From numerical simulations of bidisperse, overdamped particles, we argue that the divergence of the viscosity below jamming is characteristic of the hard-core limit, independent of the particular soft-core interaction. We develop a mapping from soft-core to hard-core particles that recovers all the critical behavior found in earlier scaling analyses. Using this mapping we derive a relation that gives the exponent of the nonlinear Herschel-Bulkley rheology above jamming in terms of the exponent of the diverging viscosity below jamming.
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| http://dx.doi.org/10.1103/PhysRevLett.109.108001 | DOI Listing |
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