11,539 research outputs found
A geometrical non-linear model for cable systems analysis
Cable structures are commonly studied with simplified analytical equations. The evaluation of the accuracy of these equations, in terms of equilibrium geometry configuration and stress distribution was performed for standard cables examples. A three-dimensional finite element analysis (hereafter FEA) procedure based on geometry-dependent stiffness coefficients was developed. The FEA follows a classical procedure in finite element programs, which uses an iterative algorithm, in terms of displacements. The theory is based on a total Lagrange formulation using Green-Lagrange strain. Pure Newton-Raphson procedure was employed to solve the non-linear equations. The results show that the rigid character of the catenary’s analytical equation, introduce errors when compared with the FEA
On Quantum Special Kaehler Geometry
We compute the effective black hole potential V of the most general N=2, d=4
(local) special Kaehler geometry with quantum perturbative corrections,
consistent with axion-shift Peccei-Quinn symmetry and with cubic leading order
behavior. We determine the charge configurations supporting axion-free
attractors, and explain the differences among various configurations in
relations to the presence of ``flat'' directions of V at its critical points.
Furthermore, we elucidate the role of the sectional curvature at the
non-supersymmetric critical points of V, and compute the Riemann tensor (and
related quantities), as well as the so-called E-tensor. The latter expresses
the non-symmetricity of the considered quantum perturbative special Kaehler
geometry.Comment: 1+43 pages; v2: typo corrected in the curvature of Jordan symmetric
sequence at page 2
Gravitational Larmor formula in higher dimensions
The Larmor formula for scalar and gravitational radiation from a pointlike
particle is derived in any even higher-dimensional flat spacetime. General
expressions for the field in the wave zone and the energy flux are obtained in
closed form. The explicit results in four and six dimensions are used to
illustrate the effect of extra dimensions on linear and uniform circular
motion. Prospects for detection of bulk gravitational radiation are briefly
discussed.Comment: 5 pages, no figure
Thermodynamics of Plasmaballs and Plasmarings in 3+1 Dimensions
We study localized plasma configurations in 3+1 dimensional massive field
theories obtained by Scherk-Schwarz compactification of 4+1 dimensional CFT to
predict the thermodynamic properties of localized blackholes and blackrings in
Scherk-Schwarz compactified using the AdS/CFT correspondence. We
present an exact solution to the relativistic Navier-Stokes equation in the
thin ring limit of the fluid configuration. We also perform a thorough
numerical analysis to obtain the thermodynamic properties of the most general
solution. Finally we compare our results with the recent proposal for the phase
diagram of blackholes in six flat dimensions and find some similarities but
other differences.Comment: 18 pages, 11 figures, latex; v2: Typos corrected and new references
adde
One-Dimensional Approximation of Viscous Flows
Attention has been paid to the similarity and duality between the
Gregory-Laflamme instability of black strings and the Rayleigh-Plateau
instability of extended fluids. In this paper, we derive a set of simple
(1+1)-dimensional equations from the Navier-Stokes equations describing thin
flows of (non-relativistic and incompressible) viscous fluids. This
formulation, a generalization of the theory of drop formation by Eggers and his
collaborators, would make it possible to examine the final fate of
Rayleigh-Plateau instability, its dimensional dependence, and possible
self-similar behaviors before and after the drop formation, in the context of
fluid/gravity correspondence.Comment: 17 pages, 3 figures; v2: refs & comments adde
Retail clients latent segments
Latent Segments Models (LSM) are commonly used as an approach for market segmentation. When using LSM, several criteria are available to determine the number of segments. However, it is not established which criteria are more adequate when dealing with a specific application. Since most market segmentation problems involve the simultaneous use of categorical and continuous base variables, it is particularly useful to select the best criteria when dealing with LSM with mixed type base variables. We first present an empirical test, which provides the ranking of several information criteria for model selection based on ten mixed data sets. As a result, the ICL-BIC, BIC, CAIC and L criteria are selected as the best performing criteria in the estimation of mixed mixture models. We then present an application concerning a retail chain clients' segmentation. The best information criteria yield two segments: Preferential Clients and Occasional Clients.info:eu-repo/semantics/acceptedVersio
Relaxation in Conformal Field Theory, Hawking-Page Transition, and Quasinormal/Normal Modes
We study the process of relaxation back to thermal equilibrium in
-dimensional conformal field theory at finite temperature. When the size
of the system is much larger than the inverse temperature, perturbations decay
exponentially with time. On the other hand, when the inverse temperature is
large, the relaxation is oscillatory with characteristic period set by the size
of the system. We then analyse the intermediate regime in two specific models,
namely free fermions, and a strongly coupled large conformal field
theory which is dual to string theory on -dimensional anti-de Sitter
spacetime. In the latter case, there is a sharp transition between the two
regimes in the limit, which is a manifestation of the
gravitational Hawking-Page phase transition. In particular, we establish a
direct connection between quasinormal and normal modes of the gravity system,
and the decaying and oscillating behaviour of the conformal field theory.Comment: 10 pages, latex, no figure
Quasi-normal modes of toroidal, cylindrical and planar black holes in anti-de Sitter spacetimes: scalar, electromagnetic and gravitational perturbations
We study the quasi-normal modes (QNM) of scalar, electromagnetic and
gravitational perturbations of black holes in general relativity whose horizons
have toroidal, cylindrical or planar topology in an asymptotically anti-de
Sitter (AdS) spacetime. The associated quasinormal frequencies describe the
decay in time of the corresponding test field in the vicinities of the black
hole. In terms of the AdS/CFT conjecture, the inverse of the frequency is a
measure of the dynamical timescale of approach to thermal equilibrium of the
corresponding conformal field theory.Comment: Latex, 16 pages. Minor change
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