Journal of Statistical Physics

, Volume 146, Issue 1, pp 244-248

First online:

A Remark Concerning Percolation Thresholds in Polydisperse Systems of Finite-Diameter Rods

  • Avik P. ChatterjeeAffiliated withDepartment of Chemistry, SUNY College of Environmental Science and Forestry Email author 

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


A lattice-based analysis of the percolation threshold for randomly distributed cylindrical particles is generalized to consider arbitrary joint distributions over the radii and lengths of the rods. Effects due to the finite hard core diameter of the particles are accounted for. An analogy to site percolation on a modified Bethe lattice is exploited to yield a result for the percolation threshold that is equivalent to one that has been obtained from integral equation methods in the limit of large aspect ratios for the rods.


Percolation Bethe lattice Polydisperse rods Integral equation methods