416 research outputs found
A numerical fit of analytical to simulated density profiles in dark matter haloes
Analytical and geometrical properties of generalized power-law (GPL) density
profiles are investigated in detail. In particular, a one-to-one correspondence
is found between mathematical parameters and geometrical parameters. Then GPL
density profiles are compared with simulated dark haloes (SDH) density
profiles, and nonlinear least-absolute values and least-squares fits involving
the above mentioned five parameters (RFSM5 method) are prescribed. More
specifically, the sum of absolute values or squares of absolute logarithmic
residuals is evaluated on a large number of points making a 5-dimension
hypergrid, through a few iterations. The size is progressively reduced around a
fiducial minimum, and superpositions on nodes of earlier hypergrids are
avoided. An application is made to a sample of 17 SDHs on the scale of cluster
of galaxies, within a flat CDM cosmological model (Rasia et al. 2004).
In dealing with the mean SDH density profile, a virial radius, averaged over
the whole sample, is assigned, which allows the calculation of the remaining
parameters. Using a RFSM5 method provides a better fit with respect to other
methods. No evident correlation is found between SDH dynamical state (relaxed
or merging) and asymptotic inner slope of the logarithmic density profile or
(for SDH comparable virial masses) scaled radius. Mean values and standard
deviations of some parameters are calculated, and a comparison with previous
results is made with regard to the scaled radius. A certain degree of
degeneracy is found in fitting GPL to SDH density profiles. If it is intrinsic
to the RFSM5 method or it could be reduced by the next generation of
high-resolution simulations, still remains an open question.Comment: 44 pages, 6 figures, updated version with recent results from
high-resolution simulations (Diemand et al. 2004; Reed et al. 2005) included
in the discussion; accepted for publication on SAJ (Serbian Astronomical
Journal
Dark matter haloes: an additional criterion for the choice of fitting density profiles
Simulated dark matter haloes are fitted by self-similar, universal density
profiles, where the scaled parameters depend only on a scaled (truncation)
radius which, in turn, is supposed to be independent on the mass and the
formation redshift. A criterion for the choice of the best fitting density
profile is proposed, with regard to a set of high-resolution simulations, where
some averaging procedure on scaled density profiles has been performed, in
connection with a number of fitting density profiles. An application is made to
a pair of sets each made of a dozen of high-resolution simulations, which are
available in literature, in connection with two currently used fitting density
profiles, where the dependence of the scaled radius on the mass and the
formation redshift, may be neglected to a first extent. Some features of the
early evolution of dark matter haloes represented by fitting density profiles,
are discussed in the limit of the spherical top-hat model.Comment: 62 pages, 9 figures, accepted for publication on SAJ (Serbian
Astronomical Journal), paragraph and reference added for section
The Schwinger Representation of a Group: Concept and Applications
The concept of the Schwinger Representation of a finite or compact simple Lie
group is set up as a multiplicity-free direct sum of all the unitary
irreducible representations of the group. This is abstracted from the
properties of the Schwinger oscillator construction for SU(2), and its
relevance in several quantum mechanical contexts is highlighted. The Schwinger
representations for and SU(n) for all are constructed via
specific carrier spaces and group actions. In the SU(2) case connections to the
oscillator construction and to Majorana's theorem on pure states for any spin
are worked out. The role of the Schwinger Representation in setting up the
Wigner-Weyl isomorphism for quantum mechanics on a compact simple Lie group is
brought out.Comment: Latex, 17 page
Non-symplectic symmetries and bi-Hamiltonian structures of the rational Harmonic Oscillator
The existence of bi-Hamiltonian structures for the rational Harmonic
Oscillator (non-central harmonic oscillator with rational ratio of frequencies)
is analyzed by making use of the geometric theory of symmetries. We prove that
these additional structures are a consequence of the existence of dynamical
symmetries of non-symplectic (non-canonical) type. The associated recursion
operators are also obtained.Comment: 10 pages, submitted to J. Phys. A:Math. Ge
FORMAÇÃO E REMOÇÃO DE TRIHALOMETANOS EM ÁGUAS DE ABASTECIMENTO TRATADAS, NA PRÉOXIDAÇÃO, COM CLORO.
A presente pesquisa avaliou, em escala de laboratório, a formação de trihalometanos (THM) produzidos em reações de oxidação, com cloro livre, de amostras de água contendo ácidos húmicos, sob diferentes concentrações e tempos de contato. O estudo também abrangeu a presença do íon brometo, como forma de se avaliar, qualitativa e quantitativamente, as diferentes espécies de THM produzidas. A detecção dos trihalometanos formados foi realizada, comparativamente, através de duas técnicas analíticas. A cromatografia gasosa, indicada para a análise de tais moléculas, permitiu a quantificação dos compostos clorofórmio, diclorobromometano, dibromoclorometano e bromofórmio. A espectrofotometria foi avaliada como metodologia alternativa à primeira, permitindo a expressão dos resultados apenas em THM totais. Foram realizados ensaios de remoção de THM por adsorção em diferentes concentrações de carvão ativado em pó (CAP), seguido de processos de coagulação com sulfato de alumínio, floculação, sedimentação e filtração, em reatores estáticos. Os resultados obtidos indicaram que a formação de THM é diretamente proporcional às concentrações de cloro, ácidos húmicos, íon brometo e ao tempo de contato das reações. Os procedimentos de adsorção em CAP, seguido de processos convencionais de tratamento de água, demonstraram remoções de THM das amostras da ordem de até 89%. O aumento da concentração de CAP de 10 para 150 mg/L, e do tempo de contato de adsorção de 60 para 120 minutos, contribuiu para os melhores desempenhos nos experimentos realizados. As técnicas de detecção de THM por cromatografia gasosa e por espectrofotometria apresentaram resultados diferentes nas condições destes ensaioOrientador: Prof. Dr. Rubens Bresaola Júnior
Abandoned places, complexes and parts of cities. Regeneration and enhancement of monumental hospitals in the historic centre of Naples
Even before Covid - 19 although in the very center of the old town and historic center of Naples there were abandoned buildings and complexes, uninhabited and unused for decades. The cause is attributed to multiple reasons such as functional obsolescence, failure to adapt to intervening European standards in terms of hospital construction, technological facilities to standards, etc. The health crisis which strongly affected European societies revealed the fragilities of our healthcare systems. In Italy, a large number of COVID-19 patients congested hospitals while the continuity of essential services was interrupted at the expense of other needs. At the same time, the process of abandonment of historic buildings affects different monumental hospitals, such as the “San Giacomo degli Incurabili” and the “Carlo Forlanini” in Rome, or the “Gesù e Maria” Hospital, “San Gennaro dei Poveri” and the “Santa Maria del Popolo degli Incurabili” in Naples. This paper reports three case studies of Neapolitan historical hospitals regeneration proposals with the goal of strengthening the existing community healthcare system and developing energy efficiency and seismic improvement strategies in the spirit of sustainable development. Leveraging the flexibility of monumental hospitals, the proposed light retrofit interventions restore the historial healthcare functional destination ensuring also the reuse of such an heritage. The current research delineates an approach to the recovery and enhancement for social and cultural purposes of unused and abandoned historical hospitals. This approach can positively affect the quality of life of citizens and the use of health services, while recovering historical cultural heritage buildings
A variational principle for volume-preserving dynamics
We provide a variational description of any Liouville (i.e. volume
preserving) autonomous vector fields on a smooth manifold. This is obtained via
a ``maximal degree'' variational principle; critical sections for this are
integral manifolds for the Liouville vector field. We work in coordinates and
provide explicit formulae
Hamilton-Jacobi Theory and Information Geometry
Recently, a method to dynamically define a divergence function for a
given statistical manifold by means of the
Hamilton-Jacobi theory associated with a suitable Lagrangian function
on has been proposed. Here we will review this
construction and lay the basis for an inverse problem where we assume the
divergence function to be known and we look for a Lagrangian function
for which is a complete solution of the associated
Hamilton-Jacobi theory. To apply these ideas to quantum systems, we have to
replace probability distributions with probability amplitudes.Comment: 8 page
Qubit-portraits of qudit states and quantum correlations
The machinery of qubit-portraits of qudit states, recently presented, is
consider here in more details in order to characterize the presence of quantum
correlations in bipartite qudit states. In the tomographic representation of
quantum mechanics, Bell-like inequalities are interpreted as peculiar
properties of a family of classical joint probability distributions which
describe the quantum state of two qudits. By means of the qubit-portraits
machinery a semigroup of stochastic matrices can be associated to a given
quantum state. The violation of the CHSH inequalities is discussed in this
framework with some examples, we found that quantum correlations in qutrit
isotropic states can be detected by the suggested method while it cannot in the
case of qutrit Werner states.Comment: 12 pages, 4 figure
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