TITLE:
Comparison of Ising Model and Potts Model on Non-Local Directed Small-World Networks
AUTHORS:
M. A. Sumour, M. Kh. Srour, S. M. Baraka, M. A. Radwan, R. J. Khozondar, M. M. Shabat
KEYWORDS:
Ising Model, Potts Model, Directed Small World, Probability, Magnetization, Susceptibility
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.6,
June
5,
2020
ABSTRACT: Further to the investigation of the critical properties of the Potts model with q = 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 P P = 0.1, 0.2, 0.3, 0.4 and 0.5 with different lattice sizes L = 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 P.