DENSITY PROFILE OF THE INCIPIENT INFINITE PERCOLATION CLUSTER-Reference-Cited by-同舟云学术

DENSITY PROFILE OF THE INCIPIENT INFINITE PERCOLATION CLUSTER

Published:1999-07 Issue:05 Volume:10 Page:935-940
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

STAUFFER DIETRICH¹²,AHARONY AMNON²

Affiliation:

1. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel

2. Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland, Germany

Abstract

Monte Carlo simulations show simple scaling for the number of sites in the spanning cluster at the percolation threshold as a function of distance from the border. The results for free boundary conditions represent crossover from surface to bulk fractal dimensions, and the former agrees with exact results in d=2 and d=6-∊ dimensions and with earlier simulations. We also present and explain results for bus–bar boundary conditions, with two types of connection rules. The scaling functions, which are predicted to be universal, surprisingly seem not to depend on the aspect ratios of the samples.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183199000735

Reference9 articles.

1. Path-Crossing Exponents and the External Perimeter in 2D Percolation

3. Critical percolation in finite geometries

4. Semi-infinite Potts model and percolation at surfaces

5. Surface exponent in percolation and central-force percolation: A test for splay rigidity

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