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

^*Corresponding author for this work

School of Physics and Astronomy

Tel Aviv University

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

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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 fur Physik B-Condensed Matter
Volume	47
Issue number	2
DOIs	https://doi.org/10.1007/BF01441300
State	Published - Jun 1982

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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",

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

Abstract

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