Model for the Scaling of Stresses and Fluctuations in Flows near Jamming

Details Model for the Scaling of Stresses and Fluctuations in Flows near Jamming Model for the Scaling of Stresses and Fluctuations in Flows near Jamming

2010-03-05

arxiv.org/abs/1003.1268v2

Phys. Rev. Lett. 105, 088303 (2010)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures (revised text and one new figure). To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.105.088303

We probe flows of soft, viscous spheres near the jamming point, which acts as a critical point for static soft spheres. Starting from energy considerations, we find nontrivial scaling of velocity fluctuations with strain rate. Combining this scaling with insights from jamming, we arrive at an analytical model that predicts four distinct regimes of flow, each characterized by rational-valued scaling exponents. Both the number of regimes and values of the exponents depart from prior results. We validate predictions of the model with simulations.

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