Aquino, é.O., Lima, F.W.S., Araújo, A.D. and Costa Filho, R.N. (2018) Potts Model in One-Dimension on Directed Small-World Networks. Journal of Statistical Physics, 171, 1112-1121.
https://doi.org/10.1007/s10955-018-2046-5

has been cited by the following article:

• 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.