14,943 research outputs found

    Symbolic Sequences and Tsallis Entropy

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    We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated ll times, with the probability distribution p(l)1/lμp(l)\propto 1/ l^{\mu}. For these sequences, we verified that the usual entropy increases more slowly when the symbols are correlated and the Tsallis entropy exhibits, for a suitable choice of qq, a linear behavior. We also study the chain as a random walk-like process and observe a nonusual diffusive behavior depending on the values of the parameter μ\mu.Comment: Published in the Brazilian Journal of Physic

    Potts model on complex networks

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    We consider the general p-state Potts model on random networks with a given degree distribution (random Bethe lattices). We find the effect of the suppression of a first order phase transition in this model when the degree distribution of the network is fat-tailed, that is, in more precise terms, when the second moment of the distribution diverges. In this situation the transition is continuous and of infinite order, and size effect is anomalously strong. In particular, in the case of p=1p=1, we arrive at the exact solution, which coincides with the known solution of the percolation problem on these networks.Comment: 6 pages, 1 figur
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