lrevangelista – ComplexLab

Fractional Diffusion with Geometric Constraints: Application to Signal Decay in Magnetic Resonance Imaging (MRI)

E. K. Lenzi, H. V. Ribeiro, M. K. Lenzi, L. R. Evangelista, R. L. Magin, Mathematics 10, 389 (2022). PDF | DOI

Transient anomalous diffusion in heterogeneous media with stochastic resetting

M. K. Lenzi, E. K. Lenzi, L. M. S. Guilherme, L. R. Evangelista, H. V. Ribeiro, Physica A 588, 126560 (2022). PDF | DOI

Sorption-Desorption, Surface diffusion, and Memory Effects in a 3D System

P. M. Ndiaye, F. W. Tavares, E. K. Lenzi, L. R. Evangelista, H. V. Ribeiro, D. Marin, L. M. S. Guilherme, R. S. Zola, J. Stat. Mech. (2021) 113202. PDF | DOI

Anomalous diffusion and sorption-desorption process in complex fluid systems

F. W. Tavares, P. M. Ndiaye, E. K. Lenzi, L. R. Evangelista, H. V. Ribeiro, R. S. Zola, Commun. Nonlinear Sci. Numer. Simulat. 90 (2020) 105411. PDF | DOI

Extensions and Solutions for Nonlinear Diffusion Equations and Random Walks

E. K. Lenzi, M. K. Lenzi, H. V. Ribeiro, L. R. Evangelista, Proc. Royal Soc. A 475, 20190432 (2019). PDF | DOI

Fractional Calculus in Electrical Impedance Spectroscopy: Poisson-Nernst-Planck model and Extensions

E. K. Lenzi, R. S. Zola, H. V. Ribeiro, L. R. Evangelista, Int. J. Electrochem. Sci., 12 (2017) 11677-11691. PDF | DOI

Ion Motion in Electrolytic Cells: Anomalous Diffusion Evidences

E. K. Lenzi, R. S. Zola, H. V. Ribeiro, D. S. Vieira, F. Ciuchi, A. Mazzulla, N. Scaramuzza,
and L. R. Evangelista, J. Phys. Chem. B 121, 2882–2886. PDF | DOI

Intermittent Motion, Nonlinear Diffusion Equation and Tsallis Formalism

E. K. Lenzi, L. R. da Silva, M. K. Lenzi, M. A. F. dos Santos, H. V. Ribeiro, L. R. Evangelista, Entropy 19, 42 (2017). PDF | DOI

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

E.K. Lenzi, R.S. Zola, R. Rossato, H.V. Ribeiro, D.S. Vieira, L.R. Evangelista, Electrochimica Acta 226, 40 (2017). PDF | DOI

Anomalous diffusion and transport in heterogeneous systems separated by a membrane

E. K. Lenzi, H. V. Ribeiro, A. A. Tateishi, R. S. Zola, L. R. Evangelista, Proc. R. Soc. A 472, 20160502 (2016). PDF | DOI

Unusual diffusing regimes caused by different adsorbing surfaces

V. G. Guimaraes, H. V. Ribeiro, Q. Li, L. R. Evangelista, E. K. Lenzi, R. S. Zola, Soft Matter 11, 1658 (2015). PDF | DOI

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

E. K. Lenzi, M. K. Lenzi, R. S. Zola, H. V. Ribeiro, F. C. Zola, L. R. Evangelista and G. Gonçalves, Physica A 410, 399 (2014). PDF | DOI

Anomalous Decay in Short Time Response of Ternary Mixtures with Ferrofluid

I. M. Laczkowski, H. Mukai, P. R. G. Fernandes, R. S. Mendes, L. R. Evangelista, Braz. J. Phys. 42, 14 (2012). PDF | DOI

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

F. Ciuchi, A. Mazzulla, N. Scaramuzza, E. K. Lenzi, L. R. Evangelista, J. Phys. Chem. C 2012, 116, 8773 (2012). PDF | DOI

Fractional Schrodinger equation with noninteger dimensions

J. Martins, H. V. Ribeiro, L. R. Evangelista, L. R. da Silva, E. K. Lenzi, Applied Mathematics and Computation 219, 2313 (2012). PDF | DOI

Anomalous diffusion and memory effects on the impedance spectroscopy for ﬁnite-length situations

L.R. Evangelista, E.K. Lenzi, G. Barbero, and J.R. Macdonald, Journal of Physics: Condensed Matter 23, 485005 (2011) PDF | DOI

Anomalous diffusion governed by a fractional diffusion equation and the electrical response of an electrolytic cell

P.A. Santoro, J.L. Paula, E.K. Lenzi, and L.R. Evangelista, THE JOURNAL OF CHEMICAL PHYSICS 135, 114704 (2011) PDF | DOI

Exact propagator for a Fokker-Planck equation, ﬁrst passage time distribution, and anomalous diffusion

A.T. Silva, E.K. Lenzi, L.R. Evangelista, M.K. Lenzi, H. V. Ribeiro, and A.A. Tateishi, JOURNAL OF MATHEMATICAL PHYSICS 52, 083301 (2011) PDF | DOI

Comparison of Impedance Spectroscopy Expressions and Responses of Alternate Anomalous Poisson-Nernst-Planck Diffusion Equations for Finite-Length Situations

J.R. Macdonald, L.R. Evangelista, E.K. Lenzi, and G. Barbero, J. Phys. Chem. C 115, 7648 (2011) PDF | DOI

Solutions for a diffusion equation with a backbone term

A.A. Tateishi,E.K. Lenzi, H.V. Ribeiro, L.R. Evangelista, R.S. Mendes, and L.R. Silva, Journal of Statistical Mechanics: Theory and Experiment, P02022 (2011) PDF | DOI