45 citations · 109 across the 11 of their papers we have counts for
12 papers
Exploring chaotic properties in the nonlinear Walecka Model
Luiz Antônio Barreiro, André L. P. Livorati
This paper investigates dynamical properties of the Nonlinear Walecka Model (NLWM), also known as Quantum Hadrodynamics (QHD), which provides a relativistic framework for describin…
Transport and scaling analysis in the relativistic Standard map
André L. P. Livorati, Marcelo de Almeida Presotto, João Victor Valdo Mascaro
We investigate some statistical and transport properties of the relativistic standard map. Through the Hamiltonian of a wave packet under an electric potential, we are able to obta…
Jacobian determinant as a deformation field in static billiards
Anne Kétri P. da Fonseca, André L. P. Livorati, Rene O. Medrano-T +2
We develop a deformation-based framework for analyzing static billiard systems through the Jacobian determinant computed in noncanonical angular coordinates. Although these systems…
Transition from normal to ballistic diffusion in a one-dimensional impact system
André L. P. Livorati, Tiago Kroetz, Carl P. Dettmann +2
We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of non-interacting particles, expe…
Statistical investigation and thermal properties for a 1-D impact system with dissipation
Gabriel Díaz I., André L. P. Livorati, Edson D. Leonel
The behavior of the average velocity, its deviation and average squared velocity are characterized using three techniques for a 1-D dissipative impact system. The system -- a parti…
Crises in a dissipative Bouncing ball model
André L. P. Livorati, Iberê L. Caldas, Carl P. Dettmann +1
The dynamics of a bouncing ball model under the influence of dissipation is investigated by using a two dimensional nonlinear mapping. When high dissipation is considered, the dyna…
Thermodynamics of a bouncer model: a simplified one-dimensional gas
Edson D. Leonel, André L. P. Livorati
Some dynamical properties of non interacting particles in a bouncer model are described. They move under gravity experiencing collisions with a moving platform. The evolution to st…
Escape through a time-dependent hole in the doubling map
André L. P. Livorati, Orestis Georgiou, Carl P. Dettmann +1
We investigate the escape dynamics of the doubling map with a time-periodic hole. We use Ulam's method to calculate the escape rate as a function of the control parameters. We cons…
Separation of particles leading to decay and unlimited growth of energy in a driven stadium-like billiard
André L. P. Livorati, Matheus S. Palmero, Carl P. Dettmann +2
A competition between decay and growth of energy in a time-dependent stadium billiard is discussed giving emphasis in the decay of energy mechanism. A critical resonance velocity i…
Stickiness in a bouncer model: A slowing mechanism for Fermi acceleration
André L. P. Livorati, Tiago Kroetz, Carl P. Dettmann +2
Some phase space transport properties for a conservative bouncer model are studied. The dynamics of the model is described by using a two-dimensional measure preserving mapping for…
Deceleration mechanism of Fermi acceleration in a time-dependent stadium billiard
André L. P. Livorati, Alexander Loskutov, Edson D. Leonel
The dynamics of a time-dependent stadium-like billiard are studied by a four dimensional nonlinear mapping. We have shown that even without any dissipation, the particle experience…
Decay of energy and suppression of Fermi acceleration in a dissipative driven stadium-like billiard
André Luís Prando Livorati, Iberê Luiz Caldas, Edson Denis Leonel
The behavior of the average energy for an ensemble of non-interacting particles is studied using scaling arguments in a dissipative time-dependent stadium-like billiard. The dynami…