CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Instituto de Geociências e Ciências Exatas (IGCE) (Institutional affiliation from the last research proposal) Birthplace: Brazil
bachelor's at Fisica from Universidade Federal de Viçosa (1997), master's at Physic from Universidade Federal de Minas Gerais (1999) and doctorate at Physic from Universidade Federal de Minas Gerais (2003). Has experience in Physics, acting on the following subjects: time serie analysis, scaling law, acelerador de fermi, transition from integrability to non integrability and billiards. (Source: Lattes Curriculum)
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We explore the concept of scaling invariance in a type of dynamical systems that undergo a transition from order (regularity) to disorder (chaos). The systems are described by a two-dimensional, nonlinear mapping that preserves the area in the phase space. The key variables are the action and the angle, as usual from Hamiltonian systems. The transition is influenced by a control parameter…
(Only some records are available in English at this moment)
The production of ultracold polar molecules is an important undertaking for Physics due to its applications ranging from quantum computing to metrology. As direct cooling of molecules is still a technological challenge, an alternative is the creation of molecules from pre-cooled atoms using external electromagnetic fields. The alignment and orientation of molecules is another relevant obj…
In this project, we present a proposal to study transport processes in different Hamiltonian systems. The mechanisms of transport phenomena in Hamiltonian systems with mixed phase space are described through (i) remnants of Kolmogorov-Arnold-Moser (KAM) tori, called cantori, which form a Cantor set for area-preserving maps, and (ii) partial barriers that limit the resonance zones formed b…
In this project, we aim to understand and describe how convergence to the steady state occurs in dissipative two-dimensional discrete maps. The system dynamics is governed by a discrete-time map in two variables, where the determinant of the Jacobian matrix is less than one. This condition implies phase-space area contraction, leading to convergence towards an attractor. It is known from …
The goal of the project consists in investigate some properties for the chaotic transport present in chaotic seas for discrete nonlinear mappings. The transport of particles is defined as a set of particles leaving from one specific region of the phase space to other defined region. It is known in the literature the absence of stability islands yields the survival probability to be descri…
The theme of investigation in this project is a dynamical phase transition observed in Hamiltonian systems that is a transition from integrability to non-integrability. Using the dynamics described by a discrete mapping on the variables action $I$ and angle $\theta$ we show that depending on the family of mappings considered, scaling invariance is observed for the chaotic sea leading to a…
(Only some records are available in English at this moment)
In this project, we aim to understand and describe how convergence to the steady state occurs in dissipative two-dimensional discrete maps. The system dynamics is governed by a discrete-time map in two variables, where the determinant of the Jacobian matrix is less than one. This condition implies phase-space area contraction, leading to convergence towards an attractor. It is known from …
The mechanisms of transport phenomena in Hamiltonian systems with mixed phase space are described through (i) remnants of Kolmogorov-Arnold-Moser (KAM) tori, called cantori, which are a Cantor set, and (ii) partial barriers that limit the resonance zones formed by the breaking of separatrices of an unstable periodic orbit. We propose the study of two low-dimensional Hamiltonian systems an…
Billiards, with their complex dynamics and intuitive nature, serve as fundamental systems in statistical physics and dynamical systems theory, offering versatile applications for addressing a wide range of physics problems across various fields. Recent findings suggest a possible characterization of these systems using Tsallis statistics, offering an intriguing direction for investigation…
Scaling laws are generally associated with phase transitions. In statistical physics, a phase transition is related to changes in the spatial structure of the systems, particularly due to the variation of the control parameters. However, in the study of dynamical systems phase transitions are linked to modifications of the phase space structure, also associated with the control parameter …
In this project we investigate the dynamics of some systems described by mappings near two types of phase transition: (i) integrability to non-integrability; (ii) limited to unlimited diffusion in energy (Fermi acceleration). Our main goal is to describe the behaviour of the probability density of the energy for a set of particles moving in a chaotic way. The break of symmetry in the prob…
(Only some records are available in English at this moment)