1110.0629 (Milan Žeželj et al.)

Finite-size scaling in asymmetric systems of percolating sticks    [PDF]

Milan Žeželj, Igor Stanković, Aleksandar Belić

We investigate finite size scaling in percolating widthless stick systems
with variable aspect ratios in an extensive Monte Carlo simulation study. A
generalized scaling function is introduced to describe the scaling behavior of
the percolation distribution moments and probability at the percolation
threshold. We show that the prefactors in the generalized scaling function
depend on the system aspect ratio and exhibit features that are generic to
whole class of the percolating systems. In particular, we demonstrate existence
of characteristic aspect ratio for which percolation probability at the
threshold is scale invariant and definite parity of the prefactors in
generalized scaling function for the first two percolation probability moments.

View original: http://arxiv.org/abs/1110.0629