95 citations · 832 across the 27 of their papers we have counts for
12 papers · 1 filter
Logarithmic diffusion and porous media equations: a unified description
I. T. Pedron, R. S. Mendes, T. J. Buratta +2
In this work we present the logarithmic diffusion equation as a limit case when the index that characterizes a nonlinear Fokker-Planck equation, in its diffusive term, goes to zero…
q-exponential, Weibull, and q-Weibull distributions: an empirical analysis
S. Picoli, R. S. Mendes, L. C. Malacarne
In a comparative study, the q-exponential and Weibull distributions are employed to investigate frequency distributions of basketball baskets, cyclone victims, brand-name drugs by…
Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions
E. K. Lenzi, L. C. Malacarne, R. S. Mendes +1
We obtain new exact classes of solutions for the nonlinear fractional Fokker-Planck-like equation partial_t rho = partial_x{D(x) partial^{mu -1}_x rho^{nu} - F(x) rho} by consideri…
N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients
L. C. Malacarne, R. S. Mendes, I. T. Pedron +1
An -dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present…
Nonlinear anomalous diffusion equation and fractal dimension: Exact generalized gaussian solution
I. T. Pedron, R. S. Mendes, L. C. Malacarne +1
In this work we incorporate, in a unified way, two anomalous behaviors, the power law and stretched exponential ones, by considering the radial dependence of the -dimensional no…
Average Entropy of a Subsystem from its Average Tsallis Entropy
L. C. Malacarne, R. S. Mendes, E. K. Lenzi
In the nonextensive Tsallis scenario, Page's conjecture for the average entropy of a subsystem[Phys. Rev. Lett. {\bf 71}, 1291(1993)] as well as its demonstration are generalized,…