84 citations · 263 across the 17 of their papers we have counts for
18 papers
Symplectic Pauli-Schrödinger Equation for the Quark-Antiquark Interaction System
R. R. Luz, R. A. S. Paiva, G. X. A. Petronilo +3
We investigate the quantum behavior of a quark-antiquark bound system under the influence of a magnetic field within the symplectic formulation of quantum mechanics. Employing a pe…
Impulsive Control on Invariant Surfaces
C. C. Silva, J. Marao, A. Figueiredo +1
An impulsive feedback-adaptive control is developed in order to drive trajectories of a dynamical system towards an invariant manifold with fixed and spaced impulsive controls. The…
Modified Verhulst-Solow model for long-term population and economic growths
Iram Gleriaa, Sergio Da Silvab, Leon Brenig +2
In this study, we analyze the relationship between human population growth and economic dynamics. To do so, we present a modified version of the Verhulst model and the Solow model,…
Classical Goldstone modes in Long-Range Interacting Systems
Tarcisio M Rocha Filho, Bruno Marcos
For a classical system with long-range interactions, a soft mode exists whenever a stationary state spontaneously breaks a continuous symmetry of the Hamiltonian. Besides that, if…
Ensemble Inequivalence and Maxwell Construction in the Self-Gravitating Ring Model
T. M. Rocha Filho, C. H. Silvestre, M. A. Amato
Equilibrium Statistical Mechanics is undoubtedly a cornerstone for the description of many particle systems. The common interpretation is based on ensemble theory as put forward by…
Lyapunov Exponent and Criticality in the Hamiltonian Mean Field Model
L. H. Miranda Filho, M. A. Amato, T. M. Rocha Filho
We investigate the dependence of the largest Lyapunov exponent of a -particle self-gravitating ring model at equilibrium with respect to the number of particles and its dependen…
Ergodicity in a two-dimensional self gravitating many body system
C. H. Silvestre, T. M. Rocha Filho
We study the ergodic properties of a two-dimensional self-gravitating system using molecular dynamics simulations. We apply three different tests for ergodicity: a direct method co…
Scaling of the dynamics of a homogeneous one-dimensional anisotropic classical Heisenberg model with long-range interactions
C. R. Lourenço, T. M. Rocha Filho
The dynamics of quasi-stationary states of long-range interacting systems with particles can be described by kinetic equations such as the Balescu-Lenard and Landau equations.…
Non-equilibrium Entropy and Dynamics in a System with Long-Range Interactions
T. M. Rocha Filho
The core-halo approach of Levin et al.\ [Phys.\ Rep.\ {\bf 535}, 1 (2014)] for the violent relaxation of long-range interacting systems with a waterbag initial conditions is revisi…
Thermofield qubits, generalized expectations and quantum information protocols
T. Prudencio, T. M. Rocha Filho, A. E. Santana
Thermofield dynamics (TFD) approach is a real time quantum field method for dealing with finite temperature quantum states in a purified version of usual density operator formalism…
Dynamics and physical interpretation of quasi-stationary states in systems with long-range interactions
T. M. Rocha Filho, A. E. Santana, J. R. S. Moura +2
Although the Vlasov equation is used as a good approximation for a sufficiently large , Braun and Hepp have showed that the time evolution of the one particle distribution funct…
Scaling of the dynamics of homogeneous states of one-dimensional long-range interacting systems
A. Figueiredo, T. M. Rocha Filho, A. E. Santana +1
Quasi-Stationary States of long-range interacting systems have been studied at length over the last fifteen years. It is known that the collisional terms of the Balescu-Lenard and…
Truncated Lévy Flights and Weak Ergodicity Breaking in the Hamiltonian Mean Field Model
A. Figueiredo, Z. T. Oliveira, T. M. Rocha Filho +2
The dynamics of the Hamiltonian mean field model is studied in the context of continuous time random walks. We show that the sojourn times in cells in the momentum space are well d…
Solving the Vlasov equation for one-dimensional models with long range interactions on a GPU
Tarcisio M. Rocha Filho
We present a GPU parallel implementation of the numeric integration of the Vlasov equation in one spatial dimension based on a second order time-split algorithm with a local modifi…
Nonequilibrium phase transitions and violent relaxation in the Hamiltonian Mean Field model
M. Rocha Filho, M. A. Amato, A. Figueiredo
We discuss the nature of nonequilibrium phase transitions in the Hamiltonian Mean Field model using detailed numerical simulation of the Vlasov equation and molecular dynamics. Sta…
Phase transitions in simplified models with long-range interactions
T. M. Rocha Filho, M. A. Amato, B. A. Mello +1
We study the origin of phase transitions in some simplified models with long range interactions. For the ring model, we show that a possible new phase transition predicted in a rec…
[SADE] A Maple package for the Symmetry Analysis of Differential Equations
Tarcí sio M. Rocha Filho, Annibal Figueiredo
We present the package SADE (Symmetry Analysis of Differential Equations) for the determination of symmetries and related properties of systems of differential equations. The main…
Superinflation, quintessence, and nonsingular cosmologies
E. Gunzig, A. Saa, L. Brenig +3
The dynamics of a universe dominated by a self-interacting nonminimally coupled scalar field are considered. The structure of the phase space and complete phase portraits are given…