95 citations · 508 across the 14 of their papers we have counts for
14 papers
Characterizing unstructured data with the nearest neighbor permutation entropy
Leonardo G. J. M. Voltarelli, Arthur A. B. Pessa, Luciano Zunino +4
Permutation entropy and its associated frameworks are remarkable examples of physics-inspired techniques adept at processing complex and extensive datasets. Despite substantial pro…
Analogies between the cracking noise of ethanol-dampened charcoal and earthquakes
H. V. Ribeiro, L. S. Costa, L. G. A. Alves +4
We report on an extensive characterization of the cracking noise produced by charcoal samples when dampened with ethanol. We argue that the evaporation of ethanol causes transient…
Long-range spatial correlations and fluctuation statistics of lightning activity rates in Brazil
H. V. Ribeiro, F. J. Antonio, L. G. A. Alves +2
We report on a statistical analysis of the lightning activity rates in all Brazilian cities. We find out that the average of lightning activity rates exhibit a dependence on the la…
Antipersistent behavior of defects in a lyotropic liquid crystal during annihilation
H. V. Ribeiro, R. R. Guimaraes, R. T. Teixeira-Souza +4
We report on the dynamical behavior of defects of strength s = +/- 1/2 in a lyotropic liquid crystal during the annihilation process. By following their positions using time resolv…
Anomalous diffusion in a symbolic model
H. V. Ribeiro, E. K. Lenzi, R. S. Mendes +1
We address this work to investigate some statistical properties of symbolic sequences generated by a numerical procedure in which the symbols are repeated following a power law pro…
Scaling dependence on time and distance in nonlinear fractional diffusion equations and possible applications to the water transport in soils
Kwok Sau Fa, E. K. Lenzi
Recently, fractional derivatives have been employed to analyze various systems in engineering, physics, finance and hidrology. For instance, they have been used to investigate anom…
Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions
E. K. Lenzi, L. C. Malacarne, R. S. Mendes +1
We obtain new exact classes of solutions for the nonlinear fractional Fokker-Planck-like equation partial_t rho = partial_x{D(x) partial^{mu -1}_x rho^{nu} - F(x) rho} by consideri…
N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients
L. C. Malacarne, R. S. Mendes, I. T. Pedron +1
An -dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present…
Nonlinear anomalous diffusion equation and fractal dimension: Exact generalized gaussian solution
I. T. Pedron, R. S. Mendes, L. C. Malacarne +1
In this work we incorporate, in a unified way, two anomalous behaviors, the power law and stretched exponential ones, by considering the radial dependence of the -dimensional no…
q-Exponential Distribution in Urban Agglomeration
L. C. Malacarne, R. S. Mendes, E. K. Lenzi
Usually, the study of city population distribution has been reduced to power laws. In such analysis, a common practice is to consider cities with more than one hundred thousand inh…
Nonlinear equation for anomalous diffusion: unified power-law and stretched exponential exact solution
L. C. Malacarne, R. S. Mendes, I. T. Pedron +1
The nonlinear diffusion equation is analyzed here, where $\tildeΔ\equiv \frac{1}{r^{d-1}}\frac{\partial}{\partial r} r^{d-1-θ} \frac{\…
Path Integral Approach to the Nonextensive Canonical Density Matrix
E. K. Lenzi, L. C. Malacarne, R. S. Mendes
Feynman's path integral is herein generalized to the nonextensive canonical density matrix based on Tsallis entropy. This generalization is done in two ways by using unnormalized a…
Quantum Statistical Mechanics for Nonextensive Systems II
E. K. Lenzi, R. S. Mendes, A. K. Rajagopal
In this paper, the Green function theory of quantum many-particle systems recently presented is reworked within the framework of nonextensive statistical mechanics with a new norma…
Perturbation and Variational Methods in Nonextensive Tsallis Statistics
E. K. Lenzi, L. C. Malacarne, R. S. Mendes
A unified presentation of the perturbation and variational methods for the generalized statistical mechanics based on Tsallis entropy is given here. In the case of the variational…