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Force correlations in the q-model for general q-distributions | | Jacco H. Snoeijer
; J. M. J. van Leeuwen
; | | Date: |
7 Feb 2002 | | Journal: | Phys. Rev. E 65, 051306 (2002). | | Subject: | Statistical Mechanics; Soft Condensed Matter | cond-mat.stat-mech cond-mat.soft | | Affiliation: | Instituut-Lorentz, Leiden University, The Netherlands | | Abstract: | We study force correlations in the q-model for granular media at infinite depth, for general q-distributions. We show that there are no 2-point force correlations as long as q-values at different sites are uncorrelated. However, higher order correlations can persist, and if they do, they only decay with a power of the distance. Furthermore, we find the entire set of q-distributions for which the force distribution factorizes. It includes distributions ranging from infinitely sharp to almost critical. Finally, we show that 2-point force correlations do appear whenever there are correlations between q-values at different sites in a layer; various cases are evaluated explicitly. | | Source: | arXiv, cond-mat/0202120 | | Services: | Forum | Review | PDF | Favorites | |
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