On the width of the critical region in dilute magnets with long range percolation

Amnon Aharony; D. Stauffer

doi:10.1007/BF01441300

On the width of the critical region in dilute magnets with long range percolation

Amnon Aharony, D. Stauffer

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

10 Scopus citations

Abstract

The Ginzburg criterion is used to estimate the width of the critical region for a dilute magnet with a large range of interactions R. This width decreases as R^{-2 d/(4-d)} at high temperature and as R^{-2 d/(6-d)} at very low temperatures, i.e. in the percolation limit. The crossover between the two regimes is discussed.

Original language	English
Pages (from-to)	175-177
Number of pages	3
Journal	Zeitschrift für Physik B Condensed Matter
Volume	47
Issue number	2
DOIs	https://doi.org/10.1007/BF01441300
State	Published - 1 Jan 1982
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics

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10.1007/BF01441300

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title = "On the width of the critical region in dilute magnets with long range percolation",

abstract = "The Ginzburg criterion is used to estimate the width of the critical region for a dilute magnet with a large range of interactions R. This width decreases as R-2 d/(4-d) at high temperature and as R-2 d/(6-d) at very low temperatures, i.e. in the percolation limit. The crossover between the two regimes is discussed.",

author = "Amnon Aharony and D. Stauffer",

year = "1982",

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T1 - On the width of the critical region in dilute magnets with long range percolation

AU - Aharony, Amnon

AU - Stauffer, D.

PY - 1982/1/1

Y1 - 1982/1/1

N2 - The Ginzburg criterion is used to estimate the width of the critical region for a dilute magnet with a large range of interactions R. This width decreases as R-2 d/(4-d) at high temperature and as R-2 d/(6-d) at very low temperatures, i.e. in the percolation limit. The crossover between the two regimes is discussed.

AB - The Ginzburg criterion is used to estimate the width of the critical region for a dilute magnet with a large range of interactions R. This width decreases as R-2 d/(4-d) at high temperature and as R-2 d/(6-d) at very low temperatures, i.e. in the percolation limit. The crossover between the two regimes is discussed.

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U2 - 10.1007/BF01441300

DO - 10.1007/BF01441300

M3 - Article

AN - SCOPUS:34250226304

SN - 0722-3277

VL - 47

SP - 175

EP - 177

JO - Zeitschrift für Physik B Condensed Matter

JF - Zeitschrift für Physik B Condensed Matter

IS - 2

ER -

On the width of the critical region in dilute magnets with long range percolation

Abstract

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