Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-02-14
Physics
Condensed Matter
Other Condensed Matter
4 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.100.208302
Through 2D granular Couette flow experiments, we probe failure and deformation of disordered solids under shear. Shear produces smooth affine deformations in such a solid and also irresversible so-called non-affine particle displacements. We examine both processes. We show that the non-affine part is associated with diffusion, and also can be used to define a granular temperature. Distributions for single particle non-affine displacements, $\dri$, satisfy $P_1(\dri) \propto \exp [-|\dri/\Delta r|^{\alpha}]$ ($\alpha \stackrel{<}{\sim} 2$). We suggest that the shear band forms due to a radially outward diffusive flux/non-affine motion which is balanced in the steady state by inward diffusion due to density gradients.
Behringer Robert P.
Utter Brian
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