Higher-Dimensional Stick Percolation
Artikel i vetenskaplig tidskrift, 2022

We consider two cases of the so-called stick percolation model with sticks of length L. In the first case, the orientation is chosen independently and uniformly, while in the second all sticks are oriented along the same direction. We study their respective critical values lambda(c)(L) of the percolation phase transition, and in particular we investigate the asymptotic behavior of lambda(c)(L) as L -> infinity for both of these cases. In the first case we prove that lambda(c) (L) similar to L(-2 )for any d >= 2, while in the second we prove that lambda(c) (L) similar to L-1 for any d >= 2.

Stick percolation


Scaling exponent


Erik Broman

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Journal of Statistical Physics

0022-4715 (ISSN) 1572-9613 (eISSN)

Vol. 186 1 7



Annan fysik

Diskret matematik



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