The nature of percolation 'channels'

Scott Kirkpatrick

doi:10.1016/0038-1098(73)90865-X

The nature of percolation 'channels'

Scott Kirkpatrick^*

^*Corresponding author for this work

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

106 Scopus citations

Abstract

A relation is found between the percolation probability, P^(s)(x), for site percolation, the conductance, G(x), of certain random networks, and the spin-stiffness coefficient, D(x), of dilute Heisenberg ferromagnet. Numerical results and critical exponents for these quantities near their common threshold are reported. These results demonstrate that the percolation 'channels' in which spin waves occur cannot be regarded as one or two dimensional.

Original language	English
Pages (from-to)	1279-1283
Number of pages	5
Journal	Solid State Communications
Volume	12
Issue number	12
DOIs	https://doi.org/10.1016/0038-1098(73)90865-X
State	Published - 15 Jun 1973
Externally published	Yes

Access to Document

10.1016/0038-1098(73)90865-X

Cite this

@article{8d76f2bea14248029f626b58c902a28a,

title = "The nature of percolation 'channels'",

abstract = "A relation is found between the percolation probability, P(s)(x), for site percolation, the conductance, G(x), of certain random networks, and the spin-stiffness coefficient, D(x), of dilute Heisenberg ferromagnet. Numerical results and critical exponents for these quantities near their common threshold are reported. These results demonstrate that the percolation 'channels' in which spin waves occur cannot be regarded as one or two dimensional.",

author = "Scott Kirkpatrick",

year = "1973",

month = jun,

day = "15",

doi = "10.1016/0038-1098(73)90865-X",

language = "אנגלית",

volume = "12",

pages = "1279--1283",

journal = "Solid State Communications",

issn = "0038-1098",

publisher = "Elsevier Ltd.",

number = "12",

}

TY - JOUR

T1 - The nature of percolation 'channels'

AU - Kirkpatrick, Scott

PY - 1973/6/15

Y1 - 1973/6/15

N2 - A relation is found between the percolation probability, P(s)(x), for site percolation, the conductance, G(x), of certain random networks, and the spin-stiffness coefficient, D(x), of dilute Heisenberg ferromagnet. Numerical results and critical exponents for these quantities near their common threshold are reported. These results demonstrate that the percolation 'channels' in which spin waves occur cannot be regarded as one or two dimensional.

AB - A relation is found between the percolation probability, P(s)(x), for site percolation, the conductance, G(x), of certain random networks, and the spin-stiffness coefficient, D(x), of dilute Heisenberg ferromagnet. Numerical results and critical exponents for these quantities near their common threshold are reported. These results demonstrate that the percolation 'channels' in which spin waves occur cannot be regarded as one or two dimensional.

UR - https://www.scopus.com/pages/publications/0015639527

U2 - 10.1016/0038-1098(73)90865-X

DO - 10.1016/0038-1098(73)90865-X

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0015639527

SN - 0038-1098

VL - 12

SP - 1279

EP - 1283

JO - Solid State Communications

JF - Solid State Communications

IS - 12

ER -

The nature of percolation 'channels'

Abstract

Access to Document

Other files and links

Fingerprint

Cite this