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Stability at Random Close Packing | | Matthieu Wyart
; | | Date: |
1 Feb 2012 | | Abstract: | The constraint that packings of hard spheres are stable with respect to
rearrangements of the contacts between particles is investigated. This
constraint is shown to lead to a bound between the distribution of contact
forces P(f) and the pair distribution function g(r). This bound plays a role
similar to those found in some glassy materials with long-range interactions,
such as the Coulomb gap in Anderson insulators or the distribution of local
fields in mean-field spin glasses. If P(f) sim f^(theta) and g(r) sim
(r-sigma)^(-gamma), where sigma is the particle diameter, one finds that gamma
geq 1/(2+theta). Experimental observations indicate that this bound is
saturated. | | Source: | arXiv, 1202.0259 | | Services: | Forum | Review | PDF | Favorites | |
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