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Force Relaxation in the q-model for Granular Media

Jacco H. Snoeijer·J. M. J. van Leeuwen
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Abstract

We study the relaxation of force distributions in the q-model, assuming a uniform q-distribution. We show that "diffusion of correlations" makes this relaxation very slow. On a d-dimensional lattice, the asymptotic state is approached as a diffusion process in d-1 dimensions. Therefore the relaxation goes as the inverse square root of depth for d=2, and the inverse depth for d=3. Furthermore, we derive asymptotic modes of decay, along which an arbitrary short--range correlated initial distribution will decay towards the stationary state.

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BibTeXRIS

Jacco H. Snoeijer, J. M. J. van Leeuwen. 2001-10-11. Force Relaxation in the q-model for Granular Media. https://doi.org/10.1023/a%3A1020442026840

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