Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2008

Extended Scaling in High Dimensions

Résumé

Two powerful new numerical approaches are combined to determine the parameters governing scaling and corrections to scaling for the magnetic susceptibility of Ising systems above the upper critical dimension. The dominant terms of the high-temperature series expansion for the susceptibility are generated by Monte Carlo sampling. These are then analysed using a recently developed technique which extends the high-temperature critical scaling regime over a range much wider than that achieved conventionally. Besides verifying the leading and sub-leading scaling behaviour for the magnetic susceptibility in d=5 to d=8 dimensions, the critical temperatures and amplitudes of the confluent corrections are determined to high accuracy.

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hal-00300431 , version 1 (29-10-2025)

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Bertrand Berche, Christophe Chatelain, Chania Dhall, Ralph Kenna, Robert Low, et al.. Extended Scaling in High Dimensions. Journal of Statistical Mechanics: Theory and Experiment, 2008, p11010. ⟨10.1088/1742-5468/2008/11/p11010⟩. ⟨hal-00300431⟩
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