Entropic origin of stress correlations in granular materials

Details Entropic origin of stress correlations in granular materials Entropic origin of stress correlations in granular materials

2009-05-30

arxiv.org/abs/0906.0056v1

Phys. Rev. E 80, 060303(R) (2009).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

We study the response of granular materials to external stress using experiment, simulation, and theory. We derive an entropic, Ginzburg-Landau functional that enforces mechanical stability and positivity of contact forces. In this framework, the elastic moduli depend only on the applied stress. A combination of this feature and the positivity constraint leads to stress correlations whose shape and magnitude are extremely sensitive to the applied stress. The predictions from the theory describe the stress correlations for both simulations and experiments semiquantitatively.

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