Riccati nonhermiticity with application to the Morse potential

A supersymmetric one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schrodinger equations in particle physics is described at the general level. By this means we are able to introduce a nonhermitic Hamiltonian having the imaginary part proportional to the solution of a Riccati equation of the Witten type. The procedure is applied to the exactly solvable Morse potential introducing in this way the corresponding nonhermitic Morse problem. A possible application is to molecular diffraction in evanescent waves over nanostructured surfacesComment: 8 pages, 4 figure

Classical harmonic oscillator with Dirac-like parameters and possible applications

We obtain a class of parametric oscillation modes that we call K-modes with damping and absorption that are connected to the classical harmonic oscillator modes through the "supersymmetric" one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schroedinger equations in particle physics. When a single coupling parameter, denoted by K, is used, it characterizes both the damping and the dissipative features of these modes. Generalizations to several K parameters are also possible and lead to analytical results. If the problem is passed to the physical optics (and/or acoustics) context by switching from the oscillator equation to the corresponding Helmholtz equation, one may hope to detect the K-modes as waveguide modes of specially designed waveguides and/or cavitiesComment: 14 pages, 9 figures, revised, accepted at J. Phys.

Neogene paleoceanography of the eastern equatorial Pacific based on the radiolarian record of IODP drill sites off Costa Rica

The Integrated Ocean Drilling Program (IODP) Expedition 344 drilled cores following a transect across the convergent margin off Costa Rica. Two of the five sites (U1381 and U1414) are the subject of the present study. Major radiolarian faunal breaks and characteristic species groups were defined with the aid of cluster analysis, nodal analysis, and discriminant analysis of principal components. A middle-late Miocene to Pleistocene age (radiolarian zones RN5 to RN16) was determined for the sites, which agrees with the nannofossil zonations and 40Ar/39Ar and tephra layers. Considering the northward movement of the Cocos plate (∼7.3 cm/yr), and a paleolatitude calculator, it is assumed that during the Miocene the two sites were located ∼1000 km to the southwest of their current position, slightly south of the equator. The radiolarian faunas retrieved were thus seemingly formed under the influence of different oceanic currents and sources of nutrients. Changes in the radiolarian assemblages at Site U1414 point at dissimilar environmental settings associated with the colder South Equatorial Current and the warmer Equatorial Countercurrent, as well as to coastal upwelling. These differences are best reflected by changes in the abundance of the morphotype Spongurus spp., with noticeably higher values during the Miocene, than in the Pliocene and the Pleistocene. Because Spongurus spp. is generally associated with cooler waters, these abundance variations (as well as those of several other species) suggest that during the Miocene the area had a stronger influence of colder waters than during younger periods. During the Pliocene and the lowermost Pleistocene, biogenic remains are scarce, presumably due to the terrigenous input, which could have diluted and affected the preservation of pelagic fossils, as well as to the displacement of the site to warmer waters. A typically tropical fauna characterized the Pleistocene, yet with widespread presence of colder water species, most probably indicative of the influence of coastal upwelling processes.Fil: Sandoval, María I.. Universidad de Costa Rica; Costa Rica. Universite de Lausanne; SuizaFil: Boltovskoy, Demetrio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Ecología, Genética y Evolución de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Ecología, Genética y Evolución de Buenos Aires; ArgentinaFil: Baxter, Alan T.. University of New England; Australia. McGill University; CanadáFil: Baumgartner, Peter O.. Universite de Lausanne; Suiz

Nonlinear Control of a Thermoacoustic System with Multiple Heat Sources and Actuators

Thermoacoustic instabilities can occur in thermal devices when unsteady heat release is coupled with pressure perturbations. This effect results in excitation of Eigen-acoustic modes of the system. These instabilities can lead to unpredictable behavior of the system. Gas-turbine combustion systems are especially prone to this phenomenon reducing their overall efficiency. Additionally, due to the nature of the combustion, the turbines end up releasing undesired amounts of harmful chemicals to the atmosphere, such as Nitrous Oxide (NOX). A Rijke tube, representing a resonator with a mean flow and a concentrated heat source, is a convenient system to study the thermoacoustic phenomena. Under certain conditions of the main system, a loud sound is generated through a process similar to that in devices prone to thermoacoustic instabilities. Rijke devices have been extensively studied and several models which can provide accurate representation of the system, already exists. These models often assume that the system is comprised of a single heat source which drives the instability. This may not be the case as combustors which can use more than one flame are common for engines and industrial burners. By using the aforementioned models, a nonlinear feedback control scheme is developed for a Rijke-type combustor system with n actuators and m heat sources. The performance of the controller is tested under different scenarios, assuring that is capable to exponentially stabilize the system despite any nonlinearities present in the heat release. Additionally, active control is studied in detail by analyzing the impact of the control parameters under different positioning of heat sources. The effect of the location for the actuators is also studied

Topology in the 2d Heisenberg Model under Gradient Flow

The 2d Heisenberg model --- or 2d O(3) model --- is popular in condensed matter physics, and in particle physics as a toy model for QCD. Along with other analogies, it shares with 4d Yang-Mills theories, and with QCD, the property that the configurations are divided in topological sectors. In the lattice regularisation the topological charge $Q$ can still be defined such that $Q \in \mathbb{Z}$. It has generally been observed, however, that the topological susceptibility $\chi_{\rm t} = \langle Q^2 \rangle / V$ does not scale properly in the continuum limit, i.e. that the quantity $\chi_{\rm t} \xi^2$ diverges for $\xi \to \infty$ (where $\xi$ is the correlation length in lattice units). Here we address the question whether or not this divergence persists after the application of the Gradient Flow.Comment: 10 pages, LaTex, 7 figures, 2 tables, talk presented at the XXXI Reuni\'on Anual de la Divisi\'on de Part\'iculas y Campos de la Sociedad Mexicana de F\'isica (CINVESTAV, Mexico City

Nanotailoring Stereolithography Resins for Unique Applications using Carbon Nanotubes

Nanostructured materials and exploiting their properties in stereolithography (SL) may open new markets for unique rapidly manufactured functional devices. Controlled amounts of multiwalled carbon nanotubes (MWCNTs) were successfully dispersed in SL epoxy-based resins and complex three-dimensional (3D) parts were successfully fabricated by means of a multi-material SL setup. The effect of the nanosized filler was evaluated using mechanical testing. Small dispersions of MWCNTs resulted in significant effects on the physical properties of the polymerized resin. A MWCNT concentration of .05 wt% (w/v) in DSM Somos® WaterShed™ 11120 resin increased the ultimate tensile stress and fracture stress an average of 17% and 37%, respectively. Electron microscopy was used to examine the morphology of the nanocomposite and results showed affinity between the MWCNTs and SL resin and identified buckled nanotubes that illustrated strong interfacial bonding. These improved physical properties may provide opportunities for using nanocomposite SL resins in end-use applications. Varying types and concentrations of nanomaterials can be used to tailor existing SL resins for particular applications.Mechanical Engineerin

Enhancement of photoacoustic detection of inhomogeneities in polymers

We report a series of experiments on laser pulsed photoacoustic excitationin turbid polymer samples addressed to evaluate the sound speed in the samples and the presence of inhomogeneities in the bulk. We describe a system which allows the direct measurement of the speed of the detected waves by engraving the surface of the piece under study with a fiduciary pattern of black lines. We also describe how this pattern helps to enhance the sensitivity for the detection of an inhomogeneity in the bulk. These two facts are useful for studies in soft matter systems including, perhaps, biological samples. We have performed an experimental analysis on Grilon(R) samples in different situations and we show the limitations of the method.Comment: 8 pages, 7 figure

Concepciones y actitudes hacia el aprendizaje de las matem?ticas en los estudiantes de grado sexto en la instituci?n educativa colegio de San Sim?n Ibagu? Tolima

154 p. Recurso Electr?nicoEl presente proyecto de investigaci?n est? orientado a indagar sobre las concepciones y actitudes que inciden en el aprendizaje de las matem?ticas en los estudiantes de la instituci?n educativa colegio de San Sim?n del municipio de Ibagu?, as? mismo, se pretende plantear una estrategia did?ctica que a partir de criterios claros, definidos y generalizados fundamente procesos de cambio en relaci?n a las ideolog?as y visiones distorsionadas que se encuentran fuertemente arraigadas en el accionar acad?mico de dicha ?rea de conocimiento. Por otro lado, dentro del enfoque cualitativo de la investigaci?n el dise?o se basa, en un an?lisis de contenido, frente a los tipos de acercamiento y la relaci?n directa que existe entre la intervenci?n del docente, como en la participaci?n de los estudiantes en procesos de aprendizaje de las matem?ticas, para lo cual, se realiz? una triangulaci?n de enfoques en instrumentos de recolecci?n de datos, con la finalidad de que sustente una informaci?n profunda frente a la problem?tica, es decir, a trav?s de ello se pretende estudiar a fondo los factores que sujetan una mala adaptaci?n, apropiaci?n y adecuaci?n de los conocimientos matem?ticos. Como resultado, se observa que en el accionar pedag?gico se encuentra a?n inmersos enfoques tradicionalistas y conductistas en relaci?n a los procesos de ense?anza del docente, los cuales pueden tener su lugar de relevancia en la asignaci?n de concepciones y actitudes propias de las estructuras mentales de los estudiantes que impiden un aprendizaje significativo de las matem?ticas. Como conclusi?n, se evidencia que el origen de las concepciones y actitudes arraigadas en el accionar de los estudiantes hacia el aprendizaje de las matem?ticas, parte de la mediaci?n que realiza el docente en el sal?n de clases como de la ideolog?a construida socialmente.This research project is aimed to investigate the design and attitudes that affect the learning of mathematics in students of the educational Institution College of S?n. Simon of the city of Ibague, also, is intended to raise a teaching strategy that from clear, defined and criteria substantiate widespread processes of change in relation to ideologies and distorted views that are strongly rooted in the academic actions of this area of knowledge. On the other hand, within the qualitative research approach design is based on an analysis of content, compared to the types of approach and the direct relationship between the intervention of the teacher, and the student participation in processes learning mathematics , for which a triangulation approach was made into instruments of data collection , in order that sustains a deep information against the problem , that is, through it is to study in depth the factors maladaptive holding, appropriation and adaptation of mathematical knowledge. As a result, we see that in the pedagogical action is still engaged traditionalists and behavioral approaches regarding the teaching of teachers, which may have their place of importance in the allocation of conceptions and attitudes of mental structures students prevent meaningful learning of mathematics. In conclusion, it is evident that the origin of the conceptions and attitudes rooted in the actions of the students towards learning mathematics, part of the mediation carried out by the teacher in the classroom as socially constructed ideology. Keyswords: Attitude, Design, Mathematics, Learning, Teaching strategy, Teaching practice, Cultural ideology

Density-Matrix functional theory of strongly-correlated lattice fermions

A density functional theory (DFT) of lattice fermion models is presented, which uses the single-particle density matrix gamma_{ij} as basic variable. A simple, explicit approximation to the interaction-energy functional W[gamma] of the Hubbard model is derived from exact dimer results, scaling properties of W[gamma] and known limits. Systematic tests on the one-dimensional chain show a remarkable agreement with theBethe-Ansatz exact solution for all interaction regimes and band fillings. New results are obtained for the ground-state energyand charge-excitation gap in two dimensions. A successful description of strong electron correlations within DFT is achieved.Comment: 15 pages, 6 figures Submitted to PR

Interaction energy functional for lattice density functional theory: Applications to one-, two- and three-dimensional Hubbard models

The Hubbard model is investigated in the framework of lattice density functional theory (LDFT). The single-particle density matrix $\gamma_{ij}$ with respect the lattice sites is considered as the basic variable of the many-body problem. A new approximation to the interaction-energy functional $W[\gamma]$ is proposed which is based on its scaling properties and which recovers exactly the limit of strong electron correlations at half-band filling. In this way, a more accurate description of $W$ is obtained throughout the domain of representability of $\gamma_{ij}$, including the crossover from weak to strong correlations. As examples of applications results are given for the ground-state energy, charge-excitation gap, and charge susceptibility of the Hubbard model in one-, two-, and three-dimensional lattices. The performance of the method is demonstrated by comparison with available exact solutions, with numerical calculations, and with LDFT using a simpler dimer ansatz for $W$. Goals and limitations of the different approximations are discussed.Comment: 25 pages and 8 figures, submitted to Phys. Rev.