Improved percolation thresholds for rods in three-dimensional boxes

2001/10/03 by R. Florian, Florian, R., Z. Neda +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0110067

2 pages, 3 figures

arxiv created 2001/10/03 · arxiv updated 2009/11/30

Abstract

We improve our previous results for the percolation thresholds of isotropically oriented rods in three dimensional boxes. We prove again the applicability of the excluded volume rule in the slender-rod limit (radius/length -> 0). Other limits for the rod sizes are discussed and important finite-size effects are revealed.

Related

• Nonmonotonic size dependence of the critical concentration in 2D percolation of straight rigid rods under equilibrium conditions
• Percolation thresholds of two-dimensional continuum systems of rectangles [with erratum]
• On the upper limit of percolation threshold in square lattice
• Percolation in suspensions of polydisperse hard rods : quasi-universality and finite-size effects
• Cylinders' percolation in three dimensions