10 citations · 10 across the 2 of their papers we have counts for
7 papers
Long memory constitutes a unified mesoscopic mechanism consistent with nonextensive statistical mechanics
Ananias M. Mariz, Constantino Tsallis
We unify two paradigmatic mesoscopic mechanisms for the emergence of nonextensive statistics, namely the multiplicative noise mechanism leading to a {\it linear} Fokker-Planck (FP)…
A renormalization group study of the three-color Ashkin-Teller model on a Wheatstone hierarchical lattice
R. Teodoro, C. G. Bezerra, A. M. Mariz +1
We have investigated the three-color Ashkin-Teller model (3AT), on the Wheatstone bridge hierarchical lattice, by means of a Migdal-Kadanoff renormalization group approach. We have…
Exact relations between damage spreading and thermodynamic functions for the N-color Ashkin-Teller model
A. S. dos Anjos, I. S. Queiroz, A. M. Mariz +1
Exact results are derived relating quantities computable by the so-called damage spreading method and thermodynamic functions for the N-color Ashkin-Teller model. The results are v…
Preferential attachment growth model and nonextensive statistical mechanics
Danyel J. B. Soares, Constantino Tsallis, Ananias M. Mariz +1
We introduce a two-dimensional growth model where every new site is located, at a distance from the barycenter of the pre-existing graph, according to the probability law $1/r^…
The anisotropic Ashkin-Teller model: a renormalization group study
C. G. Bezerra, A. M. Mariz, J. M. de Araujo +1
The two-dimensional ferromagnetic anisotropic Ashkin-Teller model is investigated through a real-space renormalization-group approach. The critical frontier, separating five distin…
Spin wave specific heat in quasiperiodic Fibonacci structures
C. G. Bezerra, E. L. Albuquerque, A. M. Mariz +2
The energy spectra of a variety of collective modes on quasiperiodic structures exhibit a complex fractal profile. Among the modes that have attracted particular attention in this…