Extended Scaling in High Dimensions

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Berche, Bertrand
Chatelain, Christophe
Dhall, Chania
Kenna, Ralph
Low, Robert
Walter, Jean-Charles
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Abstract
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We apply and test the recently proposed "extended scaling" scheme in an analysis of the magnetic susceptibility of Ising systems above the upper critical dimension. The data are obtained by Monte Carlo simulations using both the conventional Wolff cluster algorithm and the Prokof'ev-Svistunov worm algorithm. As already observed for other models, extended scaling is shown to extend the high-temperature critical scaling regime over a range of temperatures much wider than that achieved conventionally. It allows for an accurate determination of leading and sub-leading scaling indices, critical temperatures and amplitudes of the confluent corrections.
Comment: 16 pages, 8 figures. Improved version to appear in JSTAT
Keywords
Condensed Matter - Statistical Mechanics
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