Another critical exponent inequality for percolation: β≥2/δ

Charles M. Newman

doi:10.1007/BF01206153

Another critical exponent inequality for percolation: β≥2/δ

Charles M. Newman

Mathematics

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

Abstract

The inequality in the title is derived for standard site percolation in any dimension, assuming only that the percolation density vanishes at the critical point. The proof, based on a lattice animal expansion, is fairly simple and is applicable to rather general (site or bond, short-or long-range) independent percolation models.

Original language	English (US)
Pages (from-to)	695-699
Number of pages	5
Journal	Journal of Statistical Physics
Volume	47
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01206153
State	Published - Jun 1987

Keywords

Percolation
critical exponents
exponent inequalities
lattice animals
rigorous results

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF01206153

Cite this

@article{fae5eaa862ac4e2f94be50277331dd24,

title = "Another critical exponent inequality for percolation: β≥2/δ",

abstract = "The inequality in the title is derived for standard site percolation in any dimension, assuming only that the percolation density vanishes at the critical point. The proof, based on a lattice animal expansion, is fairly simple and is applicable to rather general (site or bond, short-or long-range) independent percolation models.",

keywords = "Percolation, critical exponents, exponent inequalities, lattice animals, rigorous results",

author = "Newman, {Charles M.}",

year = "1987",

month = jun,

doi = "10.1007/BF01206153",

language = "English (US)",

volume = "47",

pages = "695--699",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer New York",

number = "5-6",

}

TY - JOUR

T1 - Another critical exponent inequality for percolation

T2 - β≥2/δ

AU - Newman, Charles M.

PY - 1987/6

Y1 - 1987/6

N2 - The inequality in the title is derived for standard site percolation in any dimension, assuming only that the percolation density vanishes at the critical point. The proof, based on a lattice animal expansion, is fairly simple and is applicable to rather general (site or bond, short-or long-range) independent percolation models.

AB - The inequality in the title is derived for standard site percolation in any dimension, assuming only that the percolation density vanishes at the critical point. The proof, based on a lattice animal expansion, is fairly simple and is applicable to rather general (site or bond, short-or long-range) independent percolation models.

KW - Percolation

KW - critical exponents

KW - exponent inequalities

KW - lattice animals

KW - rigorous results

UR - http://www.scopus.com/inward/record.url?scp=20544451002&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20544451002&partnerID=8YFLogxK

U2 - 10.1007/BF01206153

DO - 10.1007/BF01206153

M3 - Article

AN - SCOPUS:20544451002

SN - 0022-4715

VL - 47

SP - 695

EP - 699

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

Another critical exponent inequality for percolation: β≥2/δ

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this