Statistical theory of finite Fermi systems with chaotic excited eigenstates

A theory of strongly interacting Fermi systems of a few particles is developed. At high excit at ion energies (a few times the single-parti cle level spacing) these systems are characterized by an extreme degree of complexity due to strong mixing of the shell-model-based many-part icle basis st at es by the residual two- body interaction. This regime can be described as many-body quantum chaos. Practically, it occurs when the excitation energy of the system is greater than a few single-particle level spacings near the Fermi energy. Physical examples of such systems are compound nuclei, heavy open shell atoms (e.g. rare earths) and multicharged ions, molecules, clusters and quantum dots in solids. The main quantity of the theory is the strength function which describes spreading of the eigenstates over many-part icle basis states (determinants) constructed using the shell-model orbital basis. A nonlinear equation for the strength function is derived, which enables one to describe the eigenstates without diagonalization of the Hamiltonian matrix. We show how to use this approach to calculate mean orbital occupation numbers and matrix elements between chaotic eigenstates and introduce typically statistical variable s such as t emperature in an isolated microscopic Fermi system of a few particles.

Chaotic Banach algebras

We construct an infinite dimensional non-unital Banach algebra $A$ and $a\in A$ such that the sets $\{za^n:z\in\C,\ n\in\N\}$ and $\{({\bf 1}+a)^na:n\in\N\}$ are both dense in $A$, where $\bf 1$ is the unity in the unitalization $A^{\#}=A\oplus \spann\{{\bf 1}\}$ of $A$. As a byproduct, we get a hypercyclic operator $T$ on a Banach space such that $T\oplus T$ is non-cyclic and $\sigma(T)=\{1\}$.

Generalized Laplacian Eigenmaps for Modeling and Tracking Human Motions

This paper presents generalized Laplacian eigenmaps, a novel dimensionality reduction approach designed to address stylistic variations in time series. It generates compact and coherent continuous spaces whose geometry is data-driven. This paper also introduces graph-based particle filter, a novel methodology conceived for efficient tracking in low dimensional space derived from a spectral dimensionality reduction method. Its strengths are a propagation scheme, which facilitates the prediction in time and style, and a noise model coherent with the manifold, which prevents divergence, and increases robustness. Experiments show that a combination of both techniques achieves state-of-the-art performance for human pose tracking in underconstrained scenarios.

Tracking magnetic bright point motions through the solar atmosphere

High-cadence, multiwavelength observations and simulations are employed for the analysis of solar photospheric magnetic bright points (MBPs) in the quiet Sun. The observations were obtained with the Rapid Oscillations in the Solar Atmosphere (ROSA) imager and the Interferometric Bidimensional Spectrometer at the Dunn Solar Telescope. Our analysis reveals that photospheric MBPs have an average transverse velocity of approximately 1 km s-1, whereas their chromospheric counterparts have a slightly higher average velocity of 1.4 km s-1. Additionally, chromospheric MBPs were found to be around 63 per cent larger than the equivalent photospheric MBPs. These velocity values were compared with the output of numerical simulations generated using the muram code. The simulated results were similar, but slightly elevated, when compared to the observed data. An average velocity of 1.3 km s-1 was found in the simulated G-band images and an average of 1.8 km s-1 seen in the velocity domain at a height of 500 km above the continuum formation layer. Delays in the change of velocities were also analysed. Average delays of ˜4 s between layers of the simulated data set were established and values of ˜29 s observed between G-band and Ca ii K ROSA observations. The delays in the simulations are likely to be the result of oblique granular shock waves, whereas those found in the observations are possibly the result of a semi-rigid flux tube.

Áquila Earthquake (2009): influence of seismic source model and structure to modeling the strong ground motions

O sismo, ocorrido em 6 de Abril de 2009 (Mw 6,3) junto à cidade de Áquila (Itália), provocou uma grande destruição. Uma das consequências deste evento foi o impacto na opinião pública em torno da capacidade científica para a estimação da perigosidade sísmica e a necessidade de criação de sistemas de alerta sísmico. A determinação dos mecanismos de fonte sísmica de eventos sísmicos ocorridos e registados permite melhores caracterizações dos movimentos sísmicos para uma determinada área de estudo e consequentemente melhores cenários de risco. Se a região em estudo possuir propriedades físicas específicas e muito distintas de local para local, capazes de provocar alterações locais dos movimentos sísmicos (efeitos de sítio), torna-se imperativo uma caracterização bem definida do meio de propagação das ondas sísmicas de forma a poder sintetizar informação capaz de contribuir para a boa estimação da perigosidade sísmica. No âmbito deste trabalho pretende-se estudar a influência do mecanismo de fonte sísmica e da estrutura na modelação de movimentos sísmicos no caso de Áquila. A metodologia adoptada consiste na determinação da distribuição de deslizamentos sobre o plano de falha e utilização desta informação na modelação de sismogramas sintéticos (com recurso ao algoritmo E3D). Será igualmente estabelecida uma comparação de resultados considerando-se um meio com e sem bacia e considerando-se uma fonte pontual e uma fonte extensa.

Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

We study the peculiar dynamical features of a fractional derivative of complex-order network. The network is composed of two unidirectional rings of cells, coupled through a "buffer" cell. The network has a Z3 × Z5 cyclic symmetry group. The complex derivative Dα±jβ, with α, β ∈ R+ is a generalization of the concept of integer order derivative, where α = 1, β = 0. Each cell is modeled by the Chen oscillator. Numerical simulations of the coupled cell system associated with the network expose patterns such as equilibria, periodic orbits, relaxation oscillations, quasiperiodic motion, and chaos, in one or in two rings of cells. In addition, fixing β = 0.8, we perceive differences in the qualitative behavior of the system, as the parameter c ∈ [13, 24] of the Chen oscillator and/or the real part of the fractional derivative, α ∈ {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}, are varied. Some patterns produced by the coupled system are constrained by the network architecture, but other features are only understood in the light of the internal dynamics of each cell, in this case, the Chen oscillator. What is more important, architecture and/or internal dynamics?

Comment comprendre les émotions morales

Cet article a pour objet de questionner la possibilité de l'existence des émotions morales et d'en déchiffrer la notion. Je commence par relever brièvement les faiblesses de différentes lectures philosophiques des émotions morales avant de poursuivre sur une voie à première vue prometteuse qui consiste à en fournir une explication fonctionnaliste évolutionnaire : les émotions morales auraient pour fonction évolutive de soutenir les relations sociales coopératives. Après analyse, il apparaît cependant que cette approche présente également d'importantes faiblesses. En fin de compte, je propose d'abandonner l'idée d'émotion intrinsèquement morale au profit d'une solution «minimale» : la «moralité» est une appellation attribuée aux émotions (ou plus justement aux épisodes émotionnels) lorsqu'elles apparaissent dans des contextes moralement pertinents.