Dynamic critical index of the Swendsen–Wang algorithm by dynamic finite-size scaling

• Published in: Computer physics communications Vol. 175; no. 8; pp. 553 - 558
• Main Authors: Dilaver, M., Gündüç, S., Aydın, M., Gündüç, Y.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.10.2006
• Subjects: Dynamic scaling; Ising model; Time evolution of the magnetization; 75.40.Gb; Time evolution of the magnetization; Ising model; 05.50.+q; Dynamic scaling
• ISSN: 0010-4655; 1879-2944
• DOI: 10.1016/j.cpc.2006.07.007

In this work we have considered the dynamic scaling relation of the magnetization in order to study the dynamic scaling behavior of 2- and 3-dimensional Ising models. We have used the literature values of the magnetic critical exponents to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. In this way we have calculated the dynamic critical exponent Z for 2- and 3-dimensional Ising Models by using the Swendsen–Wang cluster algorithm. We have also presented that this method opens the possibility of calculating z and x 0 separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.