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Annihilation dynamics of stringlike topological defects in a nematic lyotropic liquid crystal

Topological defects can appear whenever there is some type of ordering. Its ubiquity in nature has been the subject of several studies, from early Universe to condensed matter. In this work, we investigated the annihilation dynamics of defects and …

Scaling laws in the dynamics of crime growth rate

The increasing number of crimes in areas with large concentrations of people have made cities one of the main sources of violence. Understanding characteristics of how crime rate expands and its relations with the cities size goes beyond an academic …

Diffusive process on a backbone structure with drift terms

The effects of an external force on a diffusive process subjected to a backbone structure are investigated by considering the system governed by a Fokker-Planck equation with drift terms. Our results show an anomalous spreading which may present …

Move-by-move dynamics of the advantage in chess matches reveals population-level learning of the game

The complexity of chess matches has attracted broad interest since its invention. This complexity and the availability of large number of recorded matches make chess an ideal model systems for the study of population-level learning of a complex …

Anomalous Diffusion and Electrical Response of Ionic Solutions

We analyze the electrical response obtained in the framework of a model in which the diffusion of mobile ions in the bulk is governed by a fractional diffusion equation of distributed order subjected to integro-differential boundary conditions. The …

Anomalous diffusion and long-range correlations in the score evolution of the game of cricket

We investigate the time evolution of the scores of the second most popular sport in the world: the game of cricket. By analyzing, event by event, the scores of more than 2000 matches, we point out that the score dynamics is an anomalous diffusive …

Continuous Time Random Walk and different diffusive regimes

We investigate how it is possible to obtain different diffusive regimes from the Continuous Time Random Walk (CTRW) approach performing suitable changes for the waiting time and jumping distributions in order to get two or more regimes for the same …

Anomalous Decay in Short Time Response of Ternary Mixtures with Ferrofluid

We study the optical transmittance of ternary mixtures of water, glycerin and ferrofluids. These mix- tures are subject to pulsed magnetic field and placed between crossed polarizers. After the magnetic field is switched off, the decay process is …

Complexity-Entropy Causality Plane as a Complexity Measure for Two-Dimensional Patterns

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one- dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less common. …

Fractional Diffusion Equation and the Electrical Impedance: Experimental Evidence in Liquid-Crystalline Cells

The electrical impedance data of different nematic liquid-crystal cells are analyzed in the framework of a model in which the diffusion of mobile ions in the bulk is governed by a fractional diffusion equation of distributed order. The boundary …