The Finite-Size Scaling Relation for the Order-Parameter Probability Distribution of the Six-Dimensional Ising Model

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• 作者：Ziya Merdan ; Özlem Karakuş
• 关键词：Ising model ; Order parameter probability distribution ; Cellular automaton ; Finite ; size scaling
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：55
• 期：11
• 页码：4822-4829
• 全文大小：872 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575
• 卷排序：55

文摘

The six dimensional Ising model with nearest-neighbor pair interactions has been simulated and verified numerically on the Creutz Cellular Automaton by using five bit demons near the infinite-lattice critical temperature with the linear dimensions L=4,6,8,10. The order parameter probability distribution for six dimensional Ising model has been calculated at the critical temperature. The constants of the analytical function have been estimated by fitting to probability function obtained numerically at the finite size critical point.