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On the width of the critical region in dilute magnets with long range percolation
Authors:Amnon Aharony  D. Stauffer
Affiliation:(1) Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel;(2) Present address: Institut für Theoretische Physik, Universität zu Köln, D-5000 Köln 41, Federal Republic of Germany
Abstract:The Ginzburg criterion is used to estimate the width of the critical region for a dilute magnet with a large range of interactionsR. This width decreases asR–2d/(4–d) at high temperature and asR–2d/(6–d) at very low temperatures, i.e. in the percolation limit. The crossover between the two regimes is discussed.
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