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Home › Publications › Statistical Physics
Fractional Diffusion with Geometric Constraints: Application to Signal Decay in Magnetic Resonance Imaging (MRI)

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

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

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

Stationary solution and H theorem for a generalized Fokker-Planck equation

Stationary solution and H theorem for a generalized Fokker-Planck equation

Max Jauregui, Anna L. F. Lucchi, Jean H. Y. Passos, Renio S. Mendes, Phys. Rev. E 104, 034130 (2021). PDF | DOI

Anomalous diffusion and sorption-desorption process in complex fluid systems

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

Anomalous diffusion and random search in xyz-comb: exact results

Anomalous diffusion and random search in xyz-comb: exact results

E. K. Lenzi, T Sandev, H. V. Ribeiro, P. Jovanovski, A. Iomin and L. Kocarev, J. Stat. Mech. 2020, 053203 (2020). PDF | DOI

Extensions and Solutions for Nonlinear Diffusion Equations and Random Walks

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

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

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

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

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

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

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

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

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

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

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

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

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

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aabpessa aatateishi amazzulla asitami caryednak castillo-mussot drybski dsvieira eklenzi fciuchi fjantonio gbarbero gglenzi hmukai hvribeiro hydsigaki jjvteixeira jmartins jsutton ladisfer lanamaral lcmalacarne lgaalves lrdasilva lrevangelista lscosta lzunino mafsantos mcmantovani mjauregui mklenzi mperc ngcastrath pasantoro prgfernandes qshanley rpbsantos rrguimaraes rrossato rsmendes rszola rtdesouza spicoli tpetrucci xhtzeng

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aabpessa aatateishi amazzulla asitami caryednak castillo-mussot drybski dsvieira eklenzi fciuchi fjantonio gbarbero gglenzi hmukai hvribeiro hydsigaki jjvteixeira jmartins jsutton ladisfer lanamaral lcmalacarne lgaalves lrdasilva lrevangelista lscosta lzunino mafsantos mcmantovani mjauregui mklenzi mperc ngcastrath pasantoro prgfernandes qshanley rpbsantos rrguimaraes rrossato rsmendes rszola rtdesouza spicoli tpetrucci xhtzeng

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