The Finite-Size Scaling Functions of the Four-Dimensional Ising Model

Ziya Merdan, Ali Günen, Şükrü Çavdar

H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor +3 more

Robert Weston

Nevzat AKTEKİN

The finite-size scaling relation for the order-parameter probability distribution of the four-dimensional Ising model is obtained.It is tested and verified numerically by Monte Carlo simulations.The constants of the critical finite-size scaling function in the analytical form are determined by fitting it to the finite-size scaling function obtained numerically.

Ziya Merdan, Nida Aras, Cihan Kürkçü

H.G. Ballesteros, L. A. Fernández, Víctor Martín-Mayor +4 more

Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high-statistics Monte Carlo simulation for several values of the dilution. The results support the perturbative scenario: there is only the Ising fixed point with large logarithmic scaling corrections. We obtain, using the Perturbative Renormalization Group, functional forms for the scaling of several observables that are in agreement with the numerical data.