Further to the investigation of the critical properties of the Potts model with q\n= 3 and 8 states in one dimension (1D) on directed small-world networks\nreported by Aquino and Lima, which presents, in fact, a second-order phase\ntransition with a new set of critical exponents, in addition to what was reported\nin Sumour and Lima in studying Ising model on non-local directed\nsmall-world for several values of probability...................
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