95 citations · 297 across the 9 of their papers we have counts for
9 papers
Brownian motion of black holes in stellar systems with non-Maxwellian distribution for the stars field
I. T. Pedron, C. H. Coimbra-Araujo
A massive black hole at the center of a dense stellar system, such as a globular cluster or a galactic nucleus, is subject to a random walk due gravitational encounters with nearby…
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…
Anti-de Sitter curvature radius constrained by quasars in brane-world scenarios
Carlos H. Coimbra-Araujo, Roldao da Rocha, I. T. Pedron
This paper is intended to investigate the luminosity due to accretion of gas in supermassive black holes (SMBHs) in the center of quasars, using a brane-world scenario naturally en…
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…