Granular Matter

, 13:511 | Cite as

Exponential distribution of force chain lengths: a useful statistic that characterizes granular assemblies

  • L. SanfratelloEmail author
  • J. Zhang
  • Shannon Clint Cartee
  • E. Fukushima
Original Paper


The distribution of the lengths of force chains in 2D granular assemblies of photoelastic disks was found to decay exponentially, with the decay length a quantitative measure of the way force is applied to the system. A plausibility argument is provided for why this statistic displays an exponential decay.


Force chains Granular Granular structure 


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • L. Sanfratello
    • 1
    • 2
    Email author
  • J. Zhang
    • 3
    • 4
  • Shannon Clint Cartee
    • 5
    • 6
  • E. Fukushima
    • 7
  1. 1.New Mexico ResonanceAlbuquerqueUSA
  2. 2.Department of RadiologyUniversity of New MexicoAlbuquerqueUSA
  3. 3.Department of PhysicsDuke UniversityDurhamUSA
  4. 4.Physics DepartmentIndiana University–Purdue University Fort WayneFort WayneUSA
  5. 5.New Mexico ResonanceAlbuquerqueUSA
  6. 6.University of New MexicoAlbuquerqueUSA
  7. 7.ABQMRAlbuquerqueUSA

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