180 citations · 1.5k across the 41 of their papers we have counts for
10 papers · 1 filter
Interplay between particle trapping and heterogeneity in anomalous diffusion
Haroldo V. Ribeiro, Angel A. Tateishi, Ervin K. Lenzi +2
Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean squared displacement in experiments. This app…
Transient anomalous diffusion in heterogeneous media with stochastic resetting
M. K. Lenzi, E. K. Lenzi, L. M. S. Guilherme +2
We investigate a diffusion process in heterogeneous media where particles stochastically reset to their initial positions at a constant rate. The heterogeneous media is modeled usi…
The generalized Cattaneo (telegrapher's) equation and corresponding random walks
K. Górska, A. Horzela, E. K. Lenzi +2
The various types of generalized Cattaneo, called also telegrapher's equation, are studied. We find conditions under which solutions of the equations considered so far can be recog…
Quenched and Annealed Disorder Mechanisms in Comb-Models with Fractional Operators
A. A. Tateishi, H. V. Ribeiro, T. Sandev +2
Recent experimental findings on anomalous diffusion have demanded novel models that combine annealed (temporal) and quenched (spatial or static) disorder mechanisms. The comb-model…
The role of fractional time-derivative operators on anomalous diffusion
Angel A. Tateishi, Haroldo V. Ribeiro, Ervin K. Lenzi
The generalized diffusion equations with fractional order derivatives have shown be quite efficient to describe the diffusion in complex systems, with the advantage of producing ex…
New Consideration on Composed Nonextensive Magnetic Systems
F. A. R. Navarro, M. S. Reis, E. K Lenzi +1
In this paper a composed A+B magnetic system, with spins J_A=2 and J_B=3/2, is considered within the mean-field approximation, in the framework of Tsallis nonextensive statistics.…