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Characterizing Time Series via Complexity-Entropy Curves

The search for patterns in time series is a very common task when dealing with complex systems. This is usually accomplished by employing a complexity measure such as entropies and fractal dimensions. However, such measures usually only capture a …

Random Walks Associated with Nonlinear Fokker–Planck Equations

A nonlinear random walk related to the porous medium equation (nonlinear Fokker–Planck equation) is investigated. This random walk is such that when the number of steps is sufficiently large, the probability of finding the walker in a certain …

Ion Motion in Electrolytic Cells: Anomalous Diffusion Evidences

In this study, we argue that ion motion in electrolytic cells containing Milli-Q water, weak electrolytes, or liquid crystals may exhibit unusual diffusive regimes that deviate from the expected behavior, leading the system to present an anomalous …

Intermittent Motion, Nonlinear Diffusion Equation and Tsallis Formalism

We investigate an intermittent process obtained from the combination of a nonlinear diffusion equation and pauses. We consider the porous media equation with reaction terms related to the rate of switching the particles from the diffusive mode to the …

Asymptotic behaviors of the Poisson-Nernst-Planck model, generalizations and best adjust of experimental data

We analyze the asymptotic behavior of the impedance (or immittance) spectroscopy response of an electrolytic cell in a finite-length situation obtained from the Poisson-Nernst-Planck (PNP) diffusional model and extensions by taking into account …

Anomalous diffusion and transport in heterogeneous systems separated by a membrane

Diffusion of particles in a heterogeneous system separated by a semipermeable membrane is investigated. The particle dynamics is governed by fractional diffusion equations in the bulk and by kinetic equations on the membrane, which characterizes an …

Differences in Collaboration Patterns across Discipline, Career Stage, and Gender

Collaboration plays an increasingly important role in promoting research productivity and impact. What remains unclear is whether female and male researchers in science, technology, engineering, and mathematical (STEM) disciplines differ in their …

Surface Roughness Influence on CPE Parameters in Electrolytic Cells

We investigate how the changes on the electrode surface may influence the behavior of the constant–phase elements (CPE) and, consequently, electrical response of an electrolytic cell. This analysis is performed by using an experiment with Milli-Q …

Structural characterization of (Bi1-xGdx)14W2O27 (x = 0.00 and 0.05) synthesized via mechano-thermal treatment

Samples of (Bi1-xGdx)14W2O27 (x = 0 and 0.05) compounds were prepared via a combination of mechanochemical and thermal treatments upon a Bi2O3/WO3/Gd2O3 stoichiometric mixture of precursors. Phase evolution, as well as the determination of structural …

Discriminating image textures with the multiscale two-dimensional complexity-entropy causality plane

The aim of this paper is to further explore the usefulness of the two-dimensional complexity-entropy causality plane as a texture image descriptor. A multiscale generalization is introduced in order to distinguish between different roughness features …