Collège Doctoral - Doktorandenkollegien

Statistical Physics of Complex Systems

Coventry - Leipzig - Lviv - Nancy

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Publication

Title Extended Scaling in High Dimensions
Authors Berche B., Chatelain C., Dhall C., Kenna R., Low R., Walter J.-C.
Reference J. Stat. Mech. (2008) P11010
DOI10.1088/1742-5468/2008/11/P11010
ArXivarxiv:0807.2546
Abstract 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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