Test environment running 7.6.6

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Finite Size Scaling for Percolation on Elongated Lattices in Two and Three Dimensions

Thumbnail Image

Date

2000

Authors

Marrink, S
Knackstedt, Mark

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

Shifting of percolation threshold of an elongated lattice towards higher values is shown by the statistical arguments. The scaling behavior of the lattices is confirmed by the Monte carlo simulations. The density of the incipient cluster at the percolation threshold scales differs in both two and three dimensions. Percolation probability in the elongated geometry depends on the aspect ratio of the lattice. In three dimensions, the connection probability is smaller than the percolation probability.

Description

Keywords

Keywords: Aspect ratio; Computer simulation; Crystal lattices; Geometry; Monte Carlo methods; Probability distributions; Statistical mechanics; Connection probability; Elongated lattices; Finite size scaling; Percolation density; Percolation threshold scales; Scali

Citation

URI

http://hdl.handle.net/1885/89528

Collections

Open Access Research

Source

Physical Review E

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1103/PhysRevE.62.3205

Restricted until

DSpace software copyright © 2002-2026 LYRASIS