Volume 14, Issue 2
Scaling Regimes and the Singularity of Specific Heat in the 3D Ising Model

J. Kaupužs ,  R. V. N. Melnik and J. Rimšāns

10.4208/cicp.240512.120912a

Commun. Comput. Phys., 14 (2013), pp. 355-369.

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  • Abstract

The singularity of specific heat CV of the three-dimensional Ising model is studied based on Monte Carlo data for lattice sizes L≤1536. Fits of two data sets, one corresponding to certain value of the Binder cumulant and the other — to the maximum of CV, provide consistent values of C0 in the ansatz CV (L) =C0+ALα/ν at large L, if α/ν = 0.196(6). However, a direct estimation from our CmaxVdata suggests that α/ν, most probably, has a smaller value (e.g., α/ν=0.113(30)). Thus, the conventional power-law scaling ansatz can be questioned because of this inconsistency. We have found that the data are well described by certain logarithmic ansatz.

  • History

Published online: 2014-08

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