Statistical Physics – ComplexLab

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

A nonlinear Fokker–Planck equation approach for interacting systems: Anomalous diffusion and Tsallis statistics

D. Marin, M. A. Ribeiro, H. V. Ribeiro, E. K. Lenzi, Physics Letters A 382, 1903-1907 (2018). PDF | DOI

Nonlinear Diffusion Equation with Reaction Terms: Analytical and Numerical Results

E. K. Lenzi, M. A. Ribeiro, M. E. K. Fuziki, M. K. Lenzi, H. V. Ribeiro, Applied Mathematics and Computation 330, 254-265 (2018). PDF | DOI

The role of fractional time-derivative operators on anomalous diffusion

A. A. Tateishi, H. V. Ribeiro, E. K. Lenzi, Front. Phys. 5, 52 (2017). 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

Random Walks Associated with Nonlinear Fokker–Planck Equations

R. S. Mendes, E. K. Lenzi, L. C. Malacarne, S. Picoli and M. Jauregui, Entropy 19, 155 (2017). 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

Fractional diffusion equations coupled by reaction terms

E.K. Lenzi, R. Menechini Neto, A.A. Tateishi, M.K. Lenzi, H.V. Ribeiro, Physica A 458, 9 (2016). PDF | DOI

Transient superdiffusion and long-range correlations in the motility patterns of trypanosomatid flagellate protozoa

L. G. A. Alves, D. B. Scariot, R. R. Guimarães, C. V. Nakamura, R. S. Mendes, H. V. Ribeiro, PLoS ONE 11, e0152092 (2016). PDF | DOI

Analogies between the cracking noise of ethanol-dampened charcoal and earthquakes

H. V. Ribeiro, L. S. Costa, L. G. A. Alves, P. A. Santoro, S Picoli, E. K. Lenzi, R. S. Mendes, Phys. Rev. Lett. 115, 025503 (2015). PDF | DOI

Nonlinear Kramers equation associated with nonextensive statistical mechanics

G. A. Mendes, M. S. Ribeiro, R. S. Mendes, E. K. Lenzi, and F. D. Nobre, Phys. Rev. E 91, 052106 (2015), PDF | DOI

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

L.G.A. Alves, H.V. Ribeiro, M.A.F. Santos, R.S. Mendes, E.K. Lenzi, Physica A 429 (2015) 35–44, PDF | DOI

Non-Gaussian center-of-pressure velocity distribution during quiet stance

E. S. D. Santos, S. Picoli, P. P. Deprá and R. S. Mendes, EPL 109 (2015) 48001 PDF | DOI

We need more empirical investigations and model validation for a better understanding of crime – Comment on ‘Statistical physics of crime: A review’ by M.R. D’Orsogna and M. Perc

H. V. Ribeiro, Physics of Life Reviews 12, 36 (2015). PDF | DOI