Comparison of Ising Model and Potts Model on Non-Local Directed Small-World Networks  

作　　者：M. A. Sumour M. Kh. Srour S. M. Baraka M. A. Radwan R. J. Khozondar M. M. Shabat M. A. Sumour;M. Kh. Srour;S. M. Baraka;M. A. Radwan;R. J. Khozondar;M. M. Shabat(Physics Department, Faculty of Science, Al-Aqsa University, Gaza, Gaza Strip, Palestine;National Institute of Aerospace, Hampton, VA, USA;Department of Physics, Faculty of Science, Islamic University of Gaza, Gaza Strip, Palestine, Palestine)

机构地区：[1]Physics Department, Faculty of Science, Al-Aqsa University, Gaza, Gaza Strip, Palestine [2]National Institute of Aerospace, Hampton, VA, USA [3]Department of Physics, Faculty of Science, Islamic University of Gaza, Gaza Strip, Palestine, Palestine

出　　处：《Journal of Applied Mathematics and Physics》2020年第6期1031-1038,共8页应用数学与应用物理（英文）

摘　　要：Further to the investigation of the critical properties of the Potts model with <em>q</em> = 3 and 8 states in one dimension (1D) on directed small-world networks reported by Aquino and Lima, which presents, in fact, a second-order phase transition with a new set of critical exponents, in addition to what was reported in Sumour and Lima in studying Ising model on non-local directed small-world for several values of probability 0 < <em>P</em> < 1. In this paper the behavior of two models discussed previously, will be re-examined to study differences between their behavior on directed small-world networks for networks of different values of probability <em>P</em> = 0.1, 0.2, 0.3, 0.4 and 0.5 with different lattice sizes <em>L</em> = 10, 20, 30, 40, and 50 to compare between the important physical variables between Ising and Potts models on the directed small-world networks. We found in our paper that is a phase transitions in both Ising and Potts models depending essentially on the probability <em>P</em>.Further to the investigation of the critical properties of the Potts model with <em>q</em> = 3 and 8 states in one dimension (1D) on directed small-world networks reported by Aquino and Lima, which presents, in fact, a second-order phase transition with a new set of critical exponents, in addition to what was reported in Sumour and Lima in studying Ising model on non-local directed small-world for several values of probability 0 < <em>P</em> < 1. In this paper the behavior of two models discussed previously, will be re-examined to study differences between their behavior on directed small-world networks for networks of different values of probability <em>P</em> = 0.1, 0.2, 0.3, 0.4 and 0.5 with different lattice sizes <em>L</em> = 10, 20, 30, 40, and 50 to compare between the important physical variables between Ising and Potts models on the directed small-world networks. We found in our paper that is a phase transitions in both Ising and Potts models depending essentially on the probability <em>P</em>.

关 键 词：Ising Model Potts Model Directed Small World PROBABILITY MAGNETIZATION SUSCEPTIBILITY 

分 类 号：O17[理学—数学]