69 citations · 185 across the 9 of their papers we have counts for
9 papers
Analysis of etching at a solid-solid interface
Washington S. Alves, Evandro A. Rodrigues, Henrique A. Fernandes +3
We present a method to derive an analytical expression for the roughness of an eroded surface whose dynamics are ruled by cellular automaton. Starting from the automaton, we obtain…
An analytical formulation for roughness based on celular automata
Ismael V. L. Costa, Henrique A. Fernandes, Bernardo A. Mello +1
We present a method to derive the analytical expression of the roughness of a fractal surface whose dynamics is ruled by cellular automata. Starting from the automata, we write dow…
Entropy, non-ergodicity and non-Gaussian behaviour in ballistic transport
L. C. Lapas, I. V. L. Costa, M. H. Vainstein +1
Ballistic transportation introduces new challenges in the thermodynamic properties of a gas of particles. For example, violation of mixing, ergodicity and of the fluctuation-dissip…
Mixing, ergodicity and slow relaxation phenomena
Ismael V. L. Costa, Mendeli H. Vainstein, Luciano C. Lapas +2
Investigations on diffusion in systems with memory [I.V.L. Costa, R. Morgado, M.V.B.T. Lima, F.A. Oliveira, Europhys. Lett. 63 (2003) 173] have established a hierarchical connectio…
Mixing, Ergodicity and the Fluctuation-Dissipation Theorem in complex systems
M. H. Vainstein, I. V. L. Costa, F. A. Oliveira
Complex systems such as glasses, gels, granular materials, and systems far from equilibrium exhibit violation of the ergodic hypothesis (EH) and of the fluctuation-dissipation theo…
Non-exponential relaxation for anomalous diffusion
Mendeli H. Vainstein, Ismael V. L. Costa, Rafael Morgado +1
We study the relaxation process in normal and anomalous diffusion regimes for systems described by a generalized Langevin equation (GLE). We demonstrate the existence of a very gen…