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 present...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>.展开更多
文摘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>.
