Enhancing weak signal transmission through a feedforward network

The ability to transmit and amplify weak signals is fundamental to signal processing of artificial devices in engineering. Using a multilayer feedforward network of coupled double-well oscillators as well as Fitzhugh-Nagumo oscillators, we here investigate the conditions under which a weak signal received by the first layer can be transmitted through the network with or without amplitude attenuation. We find that the coupling strength and the nodes' states of the first layer act as two-state switches, which determine whether the transmission is significantly enhanced or exponentially decreased. We hope this finding is useful for designing artificial signal amplifiers.

Elemental abundances and classification of carbon-enhanced metal-poor stars

We present a detailed study of carbon-enhanced metal-poor (CEMP) stars, based on high-resolution spectroscopic observations of a sample of 18 stars. The stellar spectra for this sample were obtained at the 4.2 m William Herschel Telescope in 2001 and 2002, using the Utrecht Echelle Spectrograph, at a resolving power R similar to 52 000 and S/N similar to 40, covering the wavelength range lambda lambda 3700-5700 angstrom. The atmospheric parameters determined for this sample indicate temperatures ranging from 4750 K to 7100 K, log g from 1.5 to 4.3, and metallicities -3.0 <= [Fe/H]<=-1.7. Elemental abundances for C, Na, Mg, Sc, Ti, Cr, Cu, Zn, Sr, Y, Zr, Ba, La, Ce, Nd, Sm, Eu, Gd, Dy are determined. Abundances for an additional 109 stars were taken from the literature and combined with the data of our sample. The literature sample reveals a lack of reliable abundance estimates for species that might be associated with the r-process elements for about 67% of CEMP stars, preventing a complete understanding of this class of stars, since [Ba/Eu] ratios are used to classify them. Although eight stars in our observed sample are also found in the literature sample, Eu abundances or limits are determined for four of these stars for the first time. From the observed correlations between C, Ba, and Eu, we argue that the CEMP-r/s class has the same astronomical origin as CEMP-s stars, highlighting the need for a more complete understanding of Eu production.

Self-similarities of periodic structures for a discrete model of a two-gene system

We report self-similar properties of periodic structures remarkably organized in the two-parameter space for a two-gene system, described by two-dimensional symmetric map. The map consists of difference equations derived from the chemical reactions for gene expression and regulation. We characterize the system by using Lyapunov exponents and isoperiodic diagrams identifying periodic windows, denominated Arnold tongues and shrimp-shaped structures. Period-adding sequences are observed for both periodic windows. We also identify Fibonacci-type series and Golden ratio for Arnold tongues, and period multiple-of-three windows for shrimps. (C) 2012 Elsevier B.V. All rights reserved.

Signal amplification of active rotators with phase-shifted coupling

In this paper, we study the signal amplification of coupled active rotators with phase-shifted coupling. We find that the system's response to the external subthreshold signal can be significantly affected by each of the two types of phase-shifted couplings: identical and non-identical phase-shifted couplings. Moreover, through both theoretical analysis and numerical simulations, we have figured out the optimal phase shift, at which the largest signal amplification is generated. These results show that the phase-shifted coupling plays an important role in regulating the system's response to the subthreshold signal.

Heat conduction in a chain of harmonic and anharmonic oscillators under the presence of an energy conserving noise

Reproducing Fourier's law of heat conduction from a microscopic stochastic model is a long standing challenge in statistical physics. As was shown by Rieder, Lebowitz and Lieb many years ago, a chain of harmonically coupled oscillators connected to two heat baths at different temperatures does not reproduce the diffusive behaviour of Fourier's law, but instead a ballistic one with an infinite thermal conductivity. Since then, there has been a substantial effort from the scientific community in identifying the key mechanism necessary to reproduce such diffusivity, which usually revolved around anharmonicity and the effect of impurities. Recently, it was shown by Dhar, Venkateshan and Lebowitz that Fourier's law can be recovered by introducing an energy conserving noise, whose role is to simulate the elastic collisions between the atoms and other microscopic degrees of freedom, which one would expect to be present in a real solid. For a one-dimensional chain this is accomplished numerically by randomly flipping - under the framework of a Poisson process with a variable “rate of collisions" - the sign of the velocity of an oscillator. In this poster we present Langevin simulations of a one-dimensional chain of oscillators coupled to two heat baths at different temperatures. We consider both harmonic and anharmonic (quartic) interactions, which are studied with and without the energy conserving noise. With these results we are able to map in detail how the heat conductivity k is influenced by both anharmonicity and the energy conserving noise. We also present a detailed analysis of the behaviour of k as a function of the size of the system and the rate of collisions, which includes a finite-size scaling method that enables us to extract the relevant critical exponents. Finally, we show that for harmonic chains, k is independent of temperature, both with and without the noise. Conversely, for anharmonic chains we find that k increases roughly linearly with the temperature of a given reservoir, while keeping the temperature difference fixed.

Stopping power and depth dose profile of H+ and He+ ion beams in hydroxyapatite thin films.

Hadron therapy is a promising technique to treat deep-seated tumors. For an accurate treatment planning, the energy deposition in the soft and hard human tissue must be well known. Water has been usually employed as a phantom of soft tissues, but other biomaterials, such as hydroxyapatite (HAp), used as bone substitute, are also relevant as a phantom for hard tissues. The stopping power of HAp for H+ and He+ beams has been studied experimentally and theoretically. The measurements have been done using the Rutherford backscattering technique in an energy range of 450-2000 keV for H+ and of 400-5000 keV for He+ projectiles. The theoretical calculations are based in the dielectric formulation together with the MELF-GOS (Mermin Energy-Loss Function – Generalized Oscillator Strengths) method [1] to describe the target excitation spectrum. A quite good agreement between the experimental data and the theoretical results has been found. The depth dose profile of H+ and He+ ion beams in HAp has been simulated by the SEICS (Simulation of Energetic Ions and Clusters through Solids) code [2], which incorporates the electronic stopping force due to the energy loss by collisions with the target electrons, including fluctuations due to the energy-loss straggling, the multiple elastic scattering with the target nuclei, with their corresponding nuclear energy loss, and the dynamical charge-exchange processes in the projectile charge state. The energy deposition by H+ and He+ as a function of the depth are compared, at several projectile energies, for HAp and liquid water, showing important differences.

Mixed-domain simulation and hybrid wafer-level packaging of RF-MEMS devices for wireless applications

In questa tesi verranno trattati sia il problema della creazione di un ambiente di simulazione a domini fisici misti per dispositivi RF-MEMS, che la definizione di un processo di fabbricazione ad-hoc per il packaging e l’integrazione degli stessi. Riguardo al primo argomento, sarà mostrato nel dettaglio lo sviluppo di una libreria di modelli MEMS all’interno dell’ambiente di simulazione per circuiti integrati Cadence c . L’approccio scelto per la definizione del comportamento elettromeccanico dei MEMS è basato sul concetto di modellazione compatta (compact modeling). Questo significa che il comportamento fisico di ogni componente elementare della libreria è descritto per mezzo di un insieme limitato di punti (nodi) di interconnessione verso il mondo esterno. La libreria comprende componenti elementari, come travi flessibili, piatti rigidi sospesi e punti di ancoraggio, la cui opportuna interconnessione porta alla realizzazione di interi dispositivi (come interruttori e capacità variabili) da simulare in Cadence c . Tutti i modelli MEMS sono implementati per mezzo del linguaggio VerilogA c di tipo HDL (Hardware Description Language) che è supportato dal simulatore circuitale Spectre c . Sia il linguaggio VerilogA c che il simulatore Spectre c sono disponibili in ambiente Cadence c . L’ambiente di simulazione multidominio (ovvero elettromeccanico) così ottenuto permette di interfacciare i dispositivi MEMS con le librerie di componenti CMOS standard e di conseguenza la simulazione di blocchi funzionali misti RF-MEMS/CMOS. Come esempio, un VCO (Voltage Controlled Oscillator) in cui l’LC-tank è realizzato in tecnologia MEMS mentre la parte attiva con transistor MOS di libreria sarà simulato in Spectre c . Inoltre, nelle pagine successive verrà mostrata una soluzione tecnologica per la fabbricazione di un substrato protettivo (package) da applicare a dispositivi RF-MEMS basata su vie di interconnessione elettrica attraverso un wafer di Silicio. La soluzione di packaging prescelta rende possibili alcune tecniche per l’integrazione ibrida delle parti RF-MEMS e CMOS (hybrid packaging). Verranno inoltre messe in luce questioni riguardanti gli effetti parassiti (accoppiamenti capacitivi ed induttivi) introdotti dal package che influenzano le prestazioni RF dei dispositivi MEMS incapsulati. Nel dettaglio, tutti i gradi di libertà del processo tecnologico per l’ottenimento del package saranno ottimizzati per mezzo di un simulatore elettromagnetico (Ansoft HFSSTM) al fine di ridurre gli effetti parassiti introdotti dal substrato protettivo. Inoltre, risultati sperimentali raccolti da misure di strutture di test incapsulate verranno mostrati per validare, da un lato, il simulatore Ansoft HFSSTM e per dimostrate, dall’altro, la fattibilit`a della soluzione di packaging proposta. Aldilà dell’apparente debole legame tra i due argomenti sopra menzionati è possibile identificare un unico obiettivo. Da un lato questo è da ricercarsi nello sviluppo di un ambiente di simulazione unificato all’interno del quale il comportamento elettromeccanico dei dispositivi RF-MEMS possa essere studiato ed analizzato. All’interno di tale ambiente, l’influenza del package sul comportamento elettromagnetico degli RF-MEMS può essere tenuta in conto per mezzo di modelli a parametri concentrati (lumped elements) estratti da misure sperimentali e simulazioni agli Elementi Finiti (FEM) della parte di package. Infine, la possibilità offerta dall’ambiente Cadence c relativamente alla simulazione di dipositivi RF-MEMS interfacciati alla parte CMOS rende possibile l’analisi di blocchi funzionali ibridi RF-MEMS/CMOS completi.

Experimental analysis of coaxial jets: instability, flow and mixing characterization

The velocity and mixing field of two turbulent jets configurations have been experimentally characterized by means of cold- and hot-wire anemometry in order to investigate the effects of the initial conditions on the flow development. In particular, experiments have been focused on the effect of the separation wall between the two streams on the flow field. The results of the experiments have pointed out that the wake behind a thick wall separating wall has a strong influence on the flow field evolution. For instance, for nearly unitary velocity ratios, a clear vortex shedding from the wall is observable. This phenomenon enhances the mixing between the inner and outer shear layer. This enhancement in the fluctuating activity is a consequence of a local absolute instability of the flow which, for a small range of velocity ratios, behaves as an hydrodynamic oscillator with no sensibility to external perturbations. It has been suggested indeed that this absolute instability can be used as a passive method to control the flow evolution. Finally, acoustic excitation has been applied to the near field in order to verify whether or not the observed vortex shedding behind the separating wall is due to a global oscillating mode as predicted by the theory. A new scaling relationship has been also proposed to determine the preferred frequency for nearly unitary velocity ratios. The proposed law takes into account both the Reynolds number and the velocity ratio dependence of this frequency and, therefore, improves all the previously proposed relationships.

Caratterizzazione e generazione di segnali PWM per amplificatori in classe D ad alta efficienza

The convergence of information technology and consumer electronics towards battery powered portable devices has increased the interest in high efficiency, low dissipation amplifiers. Class D amplifiers are the state of the art in low power consumption and high performance amplification. In this thesis we explore the possibility of exploiting nonlinearities introduced by the PWM modulation, by designing an optimized modulation law which scales its carrier frequency adaptively with the input signal's average power while preserving the SNR, thus reducing power consumption. This is achieved by means of a novel analytical model of the PWM output spectrum, which shows how interfering harmonics and their bandwidth affect the spectrum. This allows for frequency scaling with negligible aliasing between the baseband spectrum and its harmonics. We performed low noise power spectrum measurements on PWM modulations generated by comparing variable bandwidth, random test signals with a variable frequency triangular wave carrier. The experimental results show that power-optimized frequency scaling is both feasible and effective. The new analytical model also suggests a new PWM architecture that can be applied to digitally encoded input signals which are predistorted and compared with a cosine carrier, which is accurately synthesized by a digital oscillator. This approach has been simulated in a realistic noisy model and tested in our measurement setup. A zero crossing search on the obtained PWM modulation law proves that this approach yields an equivalent signal quality with respect to traditional PWM schemes, while entailing the use of signals whose bandwidth is remarkably smaller due to the use of a cosine instead of a triangular carrier.

Quantenchemische Behandlung von elektronischem Energietransfer

Im Rahmen dieser Dissertation wurden quantenchemische Untersuchungen zum Phänomen des elektronischen Energietransfers durchgeführt. Zum einen wurden theoretische Modelle zur Berücksichtigung temperaturabhängiger Elektron-Phonon-Kopplung in vibronischen Spektren ausgearbeitet und numerischen Tests unterzogen. Zum anderen erfolgte die Bestimmung molekularer Eigenschaften bichromophorer Systeme unter Anwendung etablierter Rechenmethoden. Im Fokus stehen das Zusammenspiel elektronischer Kopplung und statischer Unordnung sowie Energietransferzeiten und der Einfluss molekularer Brücken in Dimeren auf die Kopplung. Da sich elektronischer Energietransfer spektroskopisch nachweisen lässt, wurden temperaturabhängige Simulationen der Linienform von vibronischen Übergängen, die an ein Wärmebad ankoppeln, durchgeführt. Die erforderliche Antwortfunktion zur Bestimmung der spektralen Linienform kann aus einer Kumulantenentwicklung und alternativ aus der Multi-Level Redfieldtheorie abgeleitet werden. Statt der genäherten Schwingungsstruktur des Brownschen Oszillatormodells wurde eine explizit berechnete Zustandsdichte als Ausgangspunkt verwendet. Sowohl reine Elektron-Phonon- als auch Schwingung-Phonon-Kopplung werden für verschiedene Spektraldichten der Badmoden diskutiert. Im Zuge eines Kooperationsprojekts führten wir Untersuchungen zur elektronischen Kopplung an einer homologen Reihe von Rylendimeren mit unterschiedlichen Brückenlängen durch. Zu diesem Zweck wurden Ergebnisse aus Tieftemperatureinzelmolekülmessungen und quantenchemischen Berechnungen auf Grundlage des vibronischen Kopplungsmodells herangezogen und ausgewertet. Die untersuchten Dimere zeigen einen Übergang vom Grenzfall starker Kopplung hin zu schwacher Kopplung und die mittleren Energietransferzeiten konnten in guter Übereinstimmung mit experimentellen Messwerten berechnet werden. Da eine molekulare Brücke zwischen Donor- und Akzeptoreinheit die elektronische Kopplung modifiziert, kann sie sich störend auf experimentelle Messungen auswirken. Daher wurde untersucht, ob das interchromophore Kopplungsverhalten vorwiegend durch die Polarisierbarkeit des verbrückenden Elements oder durch bindungsvermittelte Wechselwirkungen beeinflusst wird und welche Brückentypen sich folglich für experimentelle Studien eignen. Sämtliche untersuchten Brückenelemente führten zu einer Vergrößerung der elektronischen Kopplung und die Kopplungsstärke wurde maßgeblich durch brückenvermittelte Wechselwirkungen bestimmt.

Benchmark Structures and Binding Energies of Small Water Clusters with Anharmonicity Corrections

For (H2O)n where n = 1–10, we used a scheme combining molecular dynamics sampling with high level ab initio calculations to locate the global and many low lying local minima for each cluster. For each isomer, we extrapolated the RI-MP2 energies to their complete basis set limit, included a CCSD(T) correction using a smaller basis set and added finite temperature corrections within the rigid-rotor-harmonic-oscillator (RRHO) model using scaled and unscaled harmonic vibrational frequencies. The vibrational scaling factors were determined specifically for water clusters by comparing harmonic frequencies with VPT2 fundamental frequencies. We find the CCSD(T) correction to the RI-MP2 binding energy to be small (<1%) but still important in determining accurate conformational energies. Anharmonic corrections are found to be non-negligble; they do not alter the energetic ordering of isomers, but they do lower the free energies of formation of the water clusters by as much as 4 kcal/mol at 298.15 K.

Quantum Mechanical Study of Sulfuric Acid Hydration: Atmospheric Implications

The role of the binary nucleation of sulfuric acid in aerosol formation and its implications for global warming is one of the fundamental unsettled questions in atmospheric chemistry. We have investigated the thermodynamics of sulfuric acid hydration using ab initio quantum mechanical methods. For H2SO4(H2O)n where n = 1–6, we used a scheme combining molecular dynamics configurational sampling with high-level ab initio calculations to locate the global and many low lying local minima for each cluster size. For each isomer, we extrapolated the Møller–Plesset perturbation theory (MP2) energies to their complete basis set (CBS) limit and added finite temperature corrections within the rigid-rotor-harmonic-oscillator (RRHO) model using scaled harmonic vibrational frequencies. We found that ionic pair (HSO4–·H3O+)(H2O)n−1 clusters are competitive with the neutral (H2SO4)(H2O)n clusters for n ≥ 3 and are more stable than neutral clusters for n ≥ 4 depending on the temperature. The Boltzmann averaged Gibbs free energies for the formation of H2SO4(H2O)n clusters are favorable in colder regions of the troposphere (T = 216.65–273.15 K) for n = 1–6, but the formation of clusters with n ≥ 5 is not favorable at higher (T > 273.15 K) temperatures. Our results suggest the critical cluster of a binary H2SO4–H2O system must contain more than one H2SO4 and are in concert with recent findings(1) that the role of binary nucleation is small at ambient conditions, but significant at colder regions of the troposphere. Overall, the results support the idea that binary nucleation of sulfuric acid and water cannot account for nucleation of sulfuric acid in the lower troposphere.

Benchmark Structures and Binding Energies of Small Water Clusters with Anharmonicity Corrections

For (H2O)n where n = 1–10, we used a scheme combining molecular dynamics sampling with high level ab initio calculations to locate the global and many low lying local minima for each cluster. For each isomer, we extrapolated the RI-MP2 energies to their complete basis set limit, included a CCSD(T) correction using a smaller basis set and added finite temperature corrections within the rigid-rotor-harmonic-oscillator (RRHO) model using scaled and unscaled harmonic vibrational frequencies. The vibrational scaling factors were determined specifically for water clusters by comparing harmonic frequencies with VPT2 fundamental frequencies. We find the CCSD(T) correction to the RI-MP2 binding energy to be small (

A remotely interrogated all-optical Rb-87 magnetometer

Atomic magnetometry was performed at Earth's magnetic field over a free-space distance of ten meters. Two laser beams aimed at a distant alkali-vapor cell excited and detected the Rb-87 magnetic resonance, allowing the magnetic field within the cell to be interrogated remotely. Operated as a driven oscillator, the magnetometer measured the geomagnetic field with less than or similar to 3.5 pT precision in a similar to 2 s data acquisition; this precision was likely limited by ambient field fluctuations. The sensor was also operated in self-oscillating mode with a 5.3 pT root Hz noise floor. Further optimization will yield a high-bandwidth, fully remote magnetometer with sub-pT sensitivity. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4747206]

Quantum Mechanical Study of Sulfuric Acid Hydration: Atmospheric Implications

The role of the binary nucleation of sulfuric acid in aerosol formation and its implications for global warming is one of the fundamental unsettled questions in atmospheric chemistry. We have investigated the thermodynamics of sulfuric acid hydration using ab initio quantum mechanical methods. For H2SO4(H2O)n where n = 1–6, we used a scheme combining molecular dynamics configurational sampling with high-level ab initio calculations to locate the global and many low lying local minima for each cluster size. For each isomer, we extrapolated the Møller–Plesset perturbation theory (MP2) energies to their complete basis set (CBS) limit and added finite temperature corrections within the rigid-rotor-harmonic-oscillator (RRHO) model using scaled harmonic vibrational frequencies. We found that ionic pair (HSO4–·H3O+)(H2O)n−1clusters are competitive with the neutral (H2SO4)(H2O)n clusters for n ≥ 3 and are more stable than neutral clusters for n ≥ 4 depending on the temperature. The Boltzmann averaged Gibbs free energies for the formation of H2SO4(H2O)n clusters are favorable in colder regions of the troposphere (T = 216.65–273.15 K) for n = 1–6, but the formation of clusters with n ≥ 5 is not favorable at higher (T > 273.15 K) temperatures. Our results suggest the critical cluster of a binary H2SO4–H2O system must contain more than one H2SO4 and are in concert with recent findings(1) that the role of binary nucleation is small at ambient conditions, but significant at colder regions of the troposphere. Overall, the results support the idea that binary nucleation of sulfuric acid and water cannot account for nucleation of sulfuric acid in the lower troposphere.