Finite-size scaling in stick percolation
2009 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 80, no 4Article in journal (Refereed) Published
This work presents the generalization of the concept of universal finite-size scaling functions to continuum percolation. A high-efficiency algorithm for Monte Carlo simulations is developed to investigate, with extensive realizations, the finite-size scaling behavior of stick percolation in large-size systems. The percolation threshold of high precision is determined for isotropic widthless stick systems as N(c)l(2)=5.637 26 +/- 0.000 02, with N-c as the critical density and l as the stick length. Simulation results indicate that by introducing a nonuniversal metric factor A=0.106 910 +/- 0.000 009, the spanning probability of stick percolation on square systems with free boundary conditions falls on the same universal scaling function as that for lattice percolation.
Place, publisher, year, edition, pages
2009. Vol. 80, no 4
lattice theory, Monte Carlo methods, percolation, probability, continuum percolation, spanning probability, threshold, system, universality, nanotubes, computer
IdentifiersURN: urn:nbn:se:kth:diva-18918DOI: 10.1103/PhysRevE.80.040104ISI: 000271350400004ScopusID: 2-s2.0-70449134042OAI: oai:DiVA.org:kth-18918DiVA: diva2:336965
QC 201005252010-08-052010-08-052011-01-12Bibliographically approved