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Critical Scaling of Shear Viscosity at the Jamming Transition Export

Physical Review Letters, Vol. 99, No. 17. (2007), 178001.

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2d jamming shear soft-sphere

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We carry out numerical simulations to study transport behavior about the jamming transition of a model granular material in two dimensions at zero temperature. Shear viscosity is computed as a function of particle volume density and applied shear stress , for diffusively moving particles with a soft core interaction. We find an excellent scaling collapse of our data as a function of the scaling variable /|c-|, where c is the critical density at =0 (“point J”), and is the crossover scaling critical exponent. We define a correlation length from velocity correlations in the driven steady state and show that it diverges at point J. Our results support the assertion that jamming is a true second-order critical phenomenon.


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