C. Argolo
Federal University of Alagoas
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Publication
Featured researches published by C. Argolo.
International Journal of Bifurcation and Chaos | 2010
C. Argolo; H. Otaviano; Iram Gleria; Everaldo Arashiro; Tânia Tomé
We investigate the critical behavior of a stochastic lattice model describing a predator–prey system. By means of Monte Carlo procedure we simulate the model defined on a regular square lattice and determine the threshold of species coexistence, that is, the critical phase boundaries related to the transition between an active state, where both species coexist and an absorbing state where one of the species is extinct. A finite size scaling analysis is employed to determine the order parameter, order parameter fluctuations, correlation length and the critical exponents. Our numerical results for the critical exponents agree with those of the directed percolation universality class. We also check the validity of the hyperscaling relation and present the data collapse curves.
Journal of Statistical Mechanics: Theory and Experiment | 2016
T Laise; P Barros; C. Argolo; M. L. Lyra
We study the critical order parameter fluctuations of the absorbing-state phase-transition exhibited by branching and annihilating random walkers performing anomalous diffusion in a linear chain. The diffusion process is considered to follow a power-law distribution of jump lengths with a typical decay exponent α. We focus in the case of parity conserving dynamics for which deviations from the usual directed percolation universality class have been previously demonstrated even for the limiting cases of normal diffusion. Anomalous diffusion induces a continuous change of the critical exponents. By performing a finite-size scaling analysis of simulation data, we show that the critical order parameter moment ratio also varies continuously with α. We unveil that the critical order parameter distribution evolves from a nearly Gaussian to an exponential form as the range of the jump distribution is increased up to the limit on which the active state predominates for any finite branching probability.
Journal of Statistical Mechanics: Theory and Experiment | 2016
C. Argolo; P. Barros; Tânia Tomé; E Arashiro; Iram Gleria; M. L. Lyra
We investigate a stochastic lattice model describing a predator-prey system in a fractal scale-free landscape, mimicked by the fractal Sierpinski carpet. We determine the threshold of species coexistence, that is, the critical phase boundary related to the transition between an active state, where both species coexist and an absorbing state where one of the species is extinct. We show that the predators must live longer in order to persist in a fractal habitat. We further performed a finite-size scaling analysis in the vicinity of the absorbing-state phase transition to compute a set of stationary and dynamical critical exponents. Our results indicate that the transition belongs to the directed percolation universality class exhibited by the usual contact process model on the same fractal landscape.
Journal of Statistical Mechanics: Theory and Experiment | 2015
C. Argolo; Pedro H Barros; Iram Gleria; Fabiana Carvalho dos Anjos; M. L. Lyra
In this work, we investigate the critical behavior of a model describing the parity-conserving branching and annihilating process of random walkers. The model is simulated on a one dimensional lattice on which the sites can be occupied by multiple particles with a finite annhilation probability. We determine the threshold of the phase transition between the statistically stationary active state and the absorbing state. From steady-state simulations and a finite-size scaling analysis, we calculate the order-parameter, order-parameter fluctuations, and spacial correlation length critical exponents. Further, we follow the short-time critical relaxation to provide a set of relevant dynamical critical exponents. We check the validity of the hyperscaling relation for both sets of stationary and dynamical critical exponents. These are consistent with the BARW-PC universality class.
Physical Review E | 2009
C. Argolo; Yan Quintino; Y. Siqueira; Iram Gleria; M. L. Lyra
Physical Review E | 2013
C. Argolo; Yan Quintino; Pedro H. Barros; M. L. Lyra
Physical Review E | 2012
C. Argolo; Yan Quintino; Iram Gleria; M. L. Lyra
Physica A-statistical Mechanics and Its Applications | 2011
C. Argolo; Yan Quintino; Iram Gleria; M. L. Lyra
Physica A-statistical Mechanics and Its Applications | 2007
D. Bertrand; Y. Siqueira; M. L. Lyra; Iram Gleria; C. Argolo
Physica A-statistical Mechanics and Its Applications | 2018
T. Laise; F.C. dos Anjos; C. Argolo; M. L. Lyra