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Potts Model in One-Dimension on Directed Small-World Networks

, , , and . JOURNAL OF STATISTICAL PHYSICS, 171 (6): 1112-1121 (2018)
DOI: 10.1007/s10955-018-2046-5

Abstract

The critical properties of the Potts model with and 8 states in one-dimension on directed small-world networks are investigated. This disordered system is simulated by updating it with the Monte Carlo heat bath algorithm. The Potts model on these directed small-world networks presents in fact a second-order phase transition with a new set of critical exponents for considering a rewiring probability . For the system exhibits only a first-order phase transition independent of p.

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