Finite-size scaling for percolation above six dimensions

Amnon Aharony; Dietrich Stauffer

doi:10.1016/0378-4371(95)00034-5

Finite-size scaling for percolation above six dimensions

Amnon Aharony
, Dietrich Stauffer

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, p_c(L)-p_c(∞), behaves like A/L² + B/L^{d 3}; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.

Original language	English
Pages (from-to)	242-246
Number of pages	5
Journal	Physica A: Statistical Mechanics and its Applications
Volume	215
Issue number	3
DOIs	https://doi.org/10.1016/0378-4371(95)00034-5
State	Published - 1 May 1995
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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title = "Finite-size scaling for percolation above six dimensions",

abstract = "We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, pc(L)-pc(∞), behaves like A/L2 + B/L d 3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.",

author = "Amnon Aharony and Dietrich Stauffer",

year = "1995",

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T1 - Finite-size scaling for percolation above six dimensions

AU - Aharony, Amnon

AU - Stauffer, Dietrich

PY - 1995/5/1

Y1 - 1995/5/1

N2 - We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, pc(L)-pc(∞), behaves like A/L2 + B/L d 3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.

AB - We consider percolation in d dimensions for finite samples of linear size L. Theoretical arguments are presented to show that for d > 6, the shift in the percolation threshold, pc(L)-pc(∞), behaves like A/L2 + B/L d 3; for periodic boundary conditions, A = 0. These predictions are consistent with recent simulations is seven dimensions.

UR - https://www.scopus.com/pages/publications/0346845508

U2 - 10.1016/0378-4371(95)00034-5

DO - 10.1016/0378-4371(95)00034-5

M3 - Article

AN - SCOPUS:0346845508

SN - 0378-4371

VL - 215

SP - 242

EP - 246

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3

ER -

Finite-size scaling for percolation above six dimensions

Abstract

ASJC Scopus subject areas

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