title: Finite-size scaling in asymmetric systems of percolating sticks.
abstract: 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 the whole class of the percolating systems. In particular, we demonstrate the existence of a characteristic aspect ratio for which percolation probability at the threshold is scale invariant and definite parity of the prefactors in the generalized scaling function for the first two percolation probability moments.
authors.affiliation: Scientific Computing Laboratory, Institute of Physics Belgrade, University of Belgrade, RS-11080 Belgrade, Serbia. milan.zezelj@ipb.ac.rs
authors.forename: Milan
authors.initials: M
authors.lastname: Žeželj
authors.forename: Igor
authors.initials: I
authors.lastname: Stanković
authors.forename: Aleksandar
authors.initials: A
authors.lastname: Belić
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D008958:Models, Molecular; D015233:Models, Statistical; D009010:Monte Carlo Method; D053758:Nanoparticles / Q000737:chemistry* / Q000648:ultrastructure; D010316:Particle Size