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Solutions for a q-generalized Schrödinger equation of entangled interacting particles

We report on the time dependent solutions of the $q$-generalized Schrödinger equation proposed by Nobre et al. (2011). Here we investigate the case of two free particles and also the case where two particles were subjected to a Moshinsky-like …

Very prolonged practice in block of trials: Scaling of fitness, universality and persistence

In this study, we analyze the reaction times obtained from participants in a psychomotor activity composed of a large number of trials without breaks. We numerically evaluate the learning factor directly obtained as the interevent time in the …

Growth Patterns and Scaling Laws Governing AIDS Epidemic in Brazilian Cities

Brazil holds approximately 1/3 of population living infected with AIDS (acquired immunodeficiency syndrome) in Central and South Americas, and it was also the first developing country to implement a large-scale control and intervention program …

Fractional diffusion equation, boundary conditions and surface effects

We investigate a system governed by a fractional diffusion equation with an integro-differential boundary condition on the surface. This condition can be connected with several processes such as adsorption and/ or desorption or chemical reactions due …

Investigating the interplay between mechanisms of anomalous diffusion via fractional Brownian walks on a comb-like structure

The comb model is a simplified description for anomalous diffusion under geometric constraints. It represents particles spreading out in a two-dimensional space where the motions in the x-direction are allowed only when the y coordinate of the …

Reaction on a solid surface supplied by an anomalous mass transfer source

The reaction process occurring on a solid surface where active sites are present is investi- gated. The phenomenon is described by a linear kinetic equation capable of accounting for memory effects in the adsorption–desorption and a first order …

Empirical analysis on the connection between power-law distributions and allometries for urban indicators

We report on the existing connection between power-law distributions and allometries. As it was first reported in Gomez-Lievano et al. (2012) for the relationship between homicides and population, when these urban indicators present asymptotic …

Universal bursty behaviour in human violent conflicts

Understanding the mechanisms and processes underlying the dynamics of collective violence is of considerable current interest. Recent studies indicated the presence of robust patterns characterizing the size and timing of violent events in human …

Fractional Diffusion Equations and Equivalent Circuits Applied to Ionic Solutions

We investigate dilute solutions of different salts (KClO3, K2SO4, and CdCl2H2O) dissolved in Milli-Q deionized water in the context of the fractional diffusion equations and equivalent circuits. The experimental results show that in the low frequency …

Long-range spatial correlations and fluctuation statistics of lightning activity rates in Brazil

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 latitude of the cities, displaying one peak around the Tropic of …