6533b839fe1ef96bd12a6d33
RESEARCH PRODUCT
Scaling Regimes and the Singularity of Specific Heat in the 3D Ising Model
J. RimšānsJevgenijs KaupužsRoderick Melniksubject
PhysicsSingularityPhysics and Astronomy (miscellaneous)Lattice (order)Quantum electrodynamicsMonte Carlo methodSquare-lattice Ising modelIsing modelScalingCritical exponentMathematical physicsAnsatzdescription
AbstractThe 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 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-08-01 | Communications in Computational Physics |