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[en] We investigated majority vote model coupled with quasiperiodic tilings by using both Monte Carlo and finite size scaling techniques. We obtained numerically the following averages: Binder cumulant , order parameter , defined as the averaged opinion balance, and its respective susceptibility . Our numerical results suggest that the system falls in two-dimensional Ising universality class. In addition, our results are in agreement with Harris–Barghathi–Vojta criterion, which states that two-dimensional quasiperiodic ordering is irrelevant and does not change any of the critical exponents. (paper: classical statistical mechanics, equilibrium and non-equilibrium)

[en] We consider the Biswas–Chatterjee–Sen model on Barabasi–Albert networks. This system undergoes a continuous phase transition from a consensus state to a disordered state by increasing a noise parameter q over a critical threshold q _c. The noise parameter is defined as the probability of the affinity between two neighbors being negative, modeling Galam contrarians. We obtained the critical exponent ratios , , and by finite-size scaling data collapses, as well as the critical noises. Our numerical data is consistent with the critical thresholds q _c being a linear function of the inverse of network connectivity z, and with an asymptotic value of q _c  =  0.3418, close to the value of the critical noise for the complete graph. (paper: classical statistical mechanics, equilibrium and non-equilibrium)

[en] We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the replica exchange Monte Carlo (parallel tempering) technique to calculate the thermodynamic quantities of the system. We obtained the order parameter, the associated magnetic susceptibility (χ) and the specific heat $(c)$ in order to characterize the universality class of the phase transition. Also, we use the finite size scaling method to obtain the critical temperature of the system and the critical exponents β, γ and ν. In the low temperature limit we have obtained a continuous transition with critical temperature around $T_{\mathrm{c}}\approx <!--\; ???\; -->1.413$. The system obeys the Ising universality class with logarithmic corrections. We found estimatives for the correction exponents $\stackrel{^<!--\; ^\; -->}{\mathrm{\beta <!--\; ??\; -->}}$, $\stackrel{^<!--\; ^\; -->}{\mathrm{\gamma <!--\; ??\; -->}}$ and $\stackrel{^<!--\; ^\; -->}{\mathrm{\lambda <!--\; ??\; -->}}$ by using the finite size scaling technique. (paper: disordered systems, classical and quantum)

[en] We investigated the susceptible-infected-susceptible model on a square lattice in the presence of a conjugated field based on recently proposed reactivating dynamics. Reactivating dynamics consists of reactivating the infection by adding one infected site, chosen randomly when the infection dies out, avoiding the dynamics being trapped in the absorbing state. We show that the reactivating dynamics can be interpreted as the usual dynamics performed in the presence of an effective conjugated field, named the reactivating field. The reactivating field scales as the inverse of the lattice number of vertices n, which vanishes at the thermodynamic limit and does not affect any scaling properties including ones related to the conjugated field. (paper: classical statistical mechanics, equilibrium and non-equilibrium)