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Force Relaxation in the q-Model for Granular Media

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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 l (1−d)/2, where l is the number of layers from the top. 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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Authors and Affiliations

  1. Instituut-Lorentz, Leiden University, P.O. Box 9506, 2300 RA, Leiden, The Netherlands

    Jacco H. Snoeijer & J. M. J. van Leeuwen

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  1. Jacco H. Snoeijer
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  2. J. M. J. van Leeuwen
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Snoeijer, J.H., van Leeuwen, J.M.J. Force Relaxation in the q-Model for Granular Media. Journal of Statistical Physics 109, 449–469 (2002). https://doi.org/10.1023/A:1020442026840

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  • DOI: https://doi.org/10.1023/A:1020442026840

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