Monte Carlo Renormalization of the Three-Dimensional Ising Model: The Influence of Truncation
- 15 September 1989
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 10 (2), 105-109
- https://doi.org/10.1209/0295-5075/10/2/003
Abstract
We have applied the Monte Carlo renormalization technique to the simple cubic Ising model. In particular we have investigated the influence of truncation, i.e. the number of coupling used in the analysis of the conjugate correlation functions generated by the Monte Carlo and spin blocking algorithms. To this purpose we have included up to 36 even and 21 odd couplings in our analysis, which is considerably more than used so far. We find that the addition of extra couplings does significantly influence the largest eigenvalues of the stability matrices. However, after correction for the finite-size effect and extrapolation to the fixed point, the effects on the estimated critical exponents are no longer significant.Keywords
This publication has 15 references indexed in Scilit:
- Optimization of Real-Space Renormalization-Group TransformationsPhysical Review Letters, 1984
- Monte Carlo Calculation of Renormalized Coupling ParametersPhysical Review Letters, 1984
- Monte Carlo renormalization-group calculations of critical behavior in the simple-cubic Ising modelPhysical Review B, 1984
- Critical temperatures of the d=3, s=1/2Ising model; the effect of confluent corrections to scalingJournal of Physics A: General Physics, 1983
- Unbiased map of the temperature plane and its consequences for theIsing modelPhysical Review B, 1982
- Critical exponents from field theoryPhysical Review B, 1980
- Critical behavior of the three-dimensional Ising modelPhysical Review B, 1979
- Monte Carlo Renormalization GroupPhysical Review Letters, 1979
- Confirmation ofassignment to the 11.86 MeV level inPhysical Review C, 1978
- Testing the Muon-Number Conservation Law inν¯μ+e−Interactions at High EnergiesPhysical Review Letters, 1976