534 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- H. V. Ribeiro3 profiles75 · h 33
- R. S. Mendes2 profiles49 · h 34
- E. Lenzi33 · h 35
- M. Perc23 · h 119
- L. Malacarne21 · h 27
- D. Bazeia2 profiles20 · h 40
- B. D. de Oliveira2 profiles17 · h 7
- L. G. Alves16 · h 16
- Arthur A. B. Pessa14 · h 8
- E. K. Lenzi13 · h 12
- P. Avelino12 · h 34
- L. R. Evangelista2 profiles11 · h 23
- Universidade Tecnológica Federal do ParanáBR35 papers
- University of MariborSI24 papers
- Complexity Science HubAT23 papers
- Universidade Federal da ParaíbaBR20 papers
- Universidade Estadual de Ponta GrossaBR18 papers
- Conselho Nacional de Desenvolvimento Científico e TecnológicoBR14 papers
- Universidade de São PauloBR14 papers
- Centro Brasileiro de Pesquisas FísicasBR13 papers
- China Medical UniversityTW13 papers
- China Medical University HospitalTW13 papers
- Kyung Hee UniversityKR13 papers
- Universidade do PortoPT13 papers
26 papers · 1 filter
A unified framework for divergences, free energies, and Fokker-Planck equations
Anna L. F. Lucchi, Jean H. Y. Passos, Max Jauregui +1
Many efforts have been made to explore systems that show significant deviations from predictions related to the standard statistical mechanics. The present work introduces a unifie…
Chaotic behavior in Lotka-Volterra and May-Leonard models of biodiversity
D. Bazeia, M. Bongestab, B. F. de Oliveira
Quantification of chaos is a challenging issue in complex dynamical systems. In this paper, we discuss the chaotic properties of generalized Lotka-Volterra and May-Leonard models o…
Interplay between particle trapping and heterogeneity in anomalous diffusion
Haroldo V. Ribeiro, Angel A. Tateishi, Ervin K. Lenzi +2
Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean squared displacement in experiments. This app…
Transient anomalous diffusion in heterogeneous media with stochastic resetting
M. K. Lenzi, E. K. Lenzi, L. M. S. Guilherme +2
We investigate a diffusion process in heterogeneous media where particles stochastically reset to their initial positions at a constant rate. The heterogeneous media is modeled usi…
Stationary solution and theorem for a generalized Fokker-Planck equation
Max Jauregui, Anna L. F. Lucchi, Jean H. Y. Passos +1
We investigate a family of generalized Fokker-Planck equations that contains Richardson and porous media equations as members. Considering a confining drift term that is related to…
High-field specific heat and entropy obtained from adiabatic temperature change
L. S. Paixão, E. O. Usuda, W. Imamura +1
Specific heat and entropy are relevant thermodynamic properties, which may be used as macroscopic probes to microscopic properties of materials under ambient conditions and under h…
Quenched and Annealed Disorder Mechanisms in Comb-Models with Fractional Operators
A. A. Tateishi, H. V. Ribeiro, T. Sandev +2
Recent experimental findings on anomalous diffusion have demanded novel models that combine annealed (temporal) and quenched (spatial or static) disorder mechanisms. The comb-model…
The role of fractional time-derivative operators on anomalous diffusion
Angel A. Tateishi, Haroldo V. Ribeiro, Ervin K. Lenzi
The generalized diffusion equations with fractional order derivatives have shown be quite efficient to describe the diffusion in complex systems, with the advantage of producing ex…
Anomalous diffusion in a symbolic model
H. V. Ribeiro, E. K. Lenzi, R. S. Mendes +1
We address this work to investigate some statistical properties of symbolic sequences generated by a numerical procedure in which the symbols are repeated following a power law pro…
Integro-differential diffusion equation for continuous time random walk
Kwok Sau Fa, K. G. Wang
In this paper we present an integro-differential diffusion equation for continuous time random walk that is valid for a generic waiting time probability density function. Using thi…
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…
Micellar shape anisotropy and elastic constants in discotic lyotropic liquid crystals
P. A. de Castro, A. J. Palangana, L. R. Evangelista
The elastic constants of a discotic lyotropic nematic liquid crystal are calculated by means of a pseudo-molecular approach as functions of the micellar shape anisotropy. By assumi…
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,…
q-Exponential Distribution in Urban Agglomeration
L. C. Malacarne, R. S. Mendes, E. K. Lenzi
Usually, the study of city population distribution has been reduced to power laws. In such analysis, a common practice is to consider cities with more than one hundred thousand inh…
Nonlinear equation for anomalous diffusion: unified power-law and stretched exponential exact solution
L. C. Malacarne, R. S. Mendes, I. T. Pedron +1
The nonlinear diffusion equation is analyzed here, where $\tildeΔ\equiv \frac{1}{r^{d-1}}\frac{\partial}{\partial r} r^{d-1-θ} \frac{\…
Comment on "Anomalous Spreading of Power-Law Quantum Wave Packets"
R. S. Mendes, C. Anteneodo
A family of wave packets with power law tails are employed to analyze the long time dependence of the corresponding probability density. The densities, associated to packets for fr…
Renormalization group approach to nonextensive statistical mechanics
Renio S. Mendes, Constantino Tsallis
We analyze a simple classical Hamiltonian system within the hypothesis of renormalizability and isotropy that essentially led Maxwell to his ubiquitous Gaussian distribution of vel…
Regularities in football goal distributions
L. C. Malacarne, R. S. Mendes
Besides of complexities concerning to football championships, it is identified some regularities in them. These regularities refer to goal distributions by goal-players and by game…
Path Integral Approach to the Nonextensive Canonical Density Matrix
E. K. Lenzi, L. C. Malacarne, R. S. Mendes
Feynman's path integral is herein generalized to the nonextensive canonical density matrix based on Tsallis entropy. This generalization is done in two ways by using unnormalized a…
Nonlinear differential equations based on nonextensive Tsallis entropy and physical applications
R. S. Mendes, I. T. Pedron
A family of nonlinear ordinary differential equations with arbitrary order is obtained by using nonextensive concepts related to the Tsallis entropy. Applications of these equation…