Tail of the contact force distribution in static granular materials

A.R.T. van Eerd; W.G. Ellenbroek; M. van Hecke; J.H. snoeijer; T.J.H. Vlugt

Tail of the contact force distribution in static granular materials

A.R.T. van Eerd, W.G. Ellenbroek, M. van Hecke, J.H. snoeijer, T.J.H. Vlugt

Dept of Chemistry

extern

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We numerically study the distribution P(f) of contact forces in frictionless bead packs, by averaging over the ensemble of all possible force network configurations. We resort to umbrella sampling to resolve the asymptotic decay of P(f) for large f, and determine P(f) down to values of order 10-45 for ordered and disordered systems in two (2D) and three dimensions (3D). Our findings unambiguously show that, in the ensemble approach, the force distributions decay much faster than exponentially: P(f)~ exp(-cfα), with a = 2.0 for 2D systems, and α = 1.7 for 3D systems.

Original language	Undefined/Unknown
Pages (from-to)	060302-1-060302-4
Number of pages	4
Journal	Physical Review. E, Statistical, nonlinear, and soft matter physics
Volume	75
Publication status	Published - 2007

Access to Document

2007-008
Open Access (free)
Final published version, 352 KB

Cite this

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title = "Tail of the contact force distribution in static granular materials",

abstract = "We numerically study the distribution P(f) of contact forces in frictionless bead packs, by averaging over the ensemble of all possible force network configurations. We resort to umbrella sampling to resolve the asymptotic decay of P(f) for large f, and determine P(f) down to values of order 10-45 for ordered and disordered systems in two (2D) and three dimensions (3D). Our findings unambiguously show that, in the ensemble approach, the force distributions decay much faster than exponentially: P(f)~ exp(-cfα), with a = 2.0 for 2D systems, and α = 1.7 for 3D systems.",

author = "{van Eerd}, A.R.T. and W.G. Ellenbroek and {van Hecke}, M. and J.H. snoeijer and T.J.H. Vlugt",

year = "2007",

language = "Undefined/Unknown",

volume = "75",

pages = "060302--1--060302--4",

journal = "Physical Review. E, Statistical, nonlinear, and soft matter physics",

issn = "1539-3755",

publisher = "American Physical Society",

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TY - JOUR

T1 - Tail of the contact force distribution in static granular materials

AU - van Eerd, A.R.T.

AU - Ellenbroek, W.G.

AU - van Hecke, M.

AU - snoeijer, J.H.

AU - Vlugt, T.J.H.

PY - 2007

Y1 - 2007

N2 - We numerically study the distribution P(f) of contact forces in frictionless bead packs, by averaging over the ensemble of all possible force network configurations. We resort to umbrella sampling to resolve the asymptotic decay of P(f) for large f, and determine P(f) down to values of order 10-45 for ordered and disordered systems in two (2D) and three dimensions (3D). Our findings unambiguously show that, in the ensemble approach, the force distributions decay much faster than exponentially: P(f)~ exp(-cfα), with a = 2.0 for 2D systems, and α = 1.7 for 3D systems.

AB - We numerically study the distribution P(f) of contact forces in frictionless bead packs, by averaging over the ensemble of all possible force network configurations. We resort to umbrella sampling to resolve the asymptotic decay of P(f) for large f, and determine P(f) down to values of order 10-45 for ordered and disordered systems in two (2D) and three dimensions (3D). Our findings unambiguously show that, in the ensemble approach, the force distributions decay much faster than exponentially: P(f)~ exp(-cfα), with a = 2.0 for 2D systems, and α = 1.7 for 3D systems.

M3 - Article

SN - 1539-3755

VL - 75

SP - 060302-1-060302-4

JO - Physical Review. E, Statistical, nonlinear, and soft matter physics

JF - Physical Review. E, Statistical, nonlinear, and soft matter physics

ER -