TY - JOUR T1 - Scaling Regimes and the Singularity of Specific Heat in the 3D Ising Model AU - J. Kaupužs, R. V. N. Melnik & J. Rimšāns JO - Communications in Computational Physics VL - 2 SP - 355 EP - 369 PY - 2014 DA - 2014/08 SN - 14 DO - http://doi.org/10.4208/cicp.240512.120912a UR - https://global-sci.org/intro/article_detail/cicp/7163.html KW - AB -

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 $C^{max}_V$ data 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.