2004/09/27 by M. Dilaver, Mehmet Dílaver, Semra Gündüç +7
Physics and Astronomy · #FOS: Physical sciences #Magnetic properties of thin films #Statistical Mechanics (cond-mat.stat-mech) #Surface and Thin Film Phenomena #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0409696
Latex, 9 eps figures. Submitted to Journal of Physics A: Mathematical and General
arxiv created 2004/09/27 · openalex publication_date 2004/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we have calculated the dynamic critical exponent z for 2-, 3- and 4-dimensional Ising models using the Wolff's algorithm through dynamic finite size scaling. We have studied time evolution of the average cluster size, the magnetization and higher moments of the magnetization. It is observed that dynamic scaling is independent of the algorithm. In this sense, universality is established for a wide range of algorithms with their own dynamic critical exponents. For scaling, we have used the literature values of critical exponents to observe the dynamic finite size scaling and to obtain the value of z. From the simulation data a very good scaling is observed leading to vanishingly small z values for all three dimensions.