Abstract
By finding local minima of a thermodynamic-like potential, we generate jammed packings of frictionless spheres under constant shear stress and obtain the yield stress by sampling the potential energy landscape. For three-dimensional systems with harmonic repulsion, satisfies the finite size scaling with the limiting scaling relation , where is the critical volume fraction of the jamming transition at in the thermodynamic limit. The finite size scaling implies a length with , which turns out to be a robust and universal length scale exhibited as well in the finite size scaling of multiple quantities measured without shear and independent of particle interaction. Moreover, comparison between our new approach and quasistatic shear reveals that quasistatic shear tends to explore low-energy states.
- Received 9 December 2013
DOI:https://doi.org/10.1103/PhysRevLett.112.145502
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