186 citations · 880 across the 38 of their papers we have counts for
38 papers
The fractal geometry of growth: fluctuation-dissipation theorem and hidden symmetry
Petrus H. R. dos Anjos, Márcio S. Gomes-Filho, Washington S. Alves +2
Growth in crystals can be { usually } described by field equations such as the Kardar-Parisi-Zhang (KPZ) equation. While the crystalline structure can be characterized by Euclidean…
The hidden fluctuation-dissipation theorem for growth
Márcio S. Gomes-Filho, Fernando A. Oliveira
In a stochastic process, where noise is always present, the fluctuation-dissipation theorem (FDT) becomes one of the most important tools in statistical mechanics and, consequently…
The Kardar-Parisi-Zhang exponents for the dimensions
Márcio S. Gomes-Filho, André L. A. Penna, Fernando A. Oliveira
The Kardar-Parisi-Zhang (KPZ) equation has been connected to a large number of important stochastic processes in physics, chemistry and growth phenomena, ranging from classical to…
A statistical mechanical model for drug release: relations between release parameters and porosity
Márcio Sampaio Gomes Filho, Marco Aurélio Alves Barbosa, Fernando Albuquerque Oliveira
A lattice gas model is proposed for investigating the release of drug molecules on devices with semi-permeable, porous membranes in two and three dimensions. The kinetic of this mo…
Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
Fernando A. Oliveira, Rogelma M. S. Ferreira, Luciano C. Lapas +1
In this article we review classical and recent results in anomalous diffusion and provide mechanisms useful for the study of the fundamentals of certain processes, mainly in conden…
Pendular behavior of public transport networks
Mirian M. Izawa, Fernando A. Oliveira, Daniel O. Cajueiro +1
In this paper, we propose a methodology that bears close resemblance to the Fourier analysis of the first harmonic to study networks subjected to pendular behavior. In this context…