According to renormalization theory, Ising systems above their upper critical dimensionality du = 4 have classical critical behavior and the ratio of magnetization moments Q = ⟨m2⟩2/⟨m4⟩ has the universal value 0.456947… However, Monte Carlo simulations of d = 5 Ising models have been reported which yield strikingly different results, suggesting that the renormalization scenario is incorrect. We investigate this issue by simulation of a more general model in which du < 4, and a careful analysis of the corrections to scaling. Our results are in a perfect agreement with the renormalization theory and provide an explanation of the discrepancy mentioned.
ASJC Scopus subject areas
- Physics and Astronomy(all)