First-order equivalent to Einstein-Hilbert Lagrangian

A first-order Lagrangian L ∇ variationally equivalent to the second-order Einstein- Hilbert Lagrangian is introduced. Such a Lagrangian depends on a symmetric linear connection, but the dependence is covariant under diffeomorphisms. The variational problem defined by L ∇ is proved to be regular and its Hamiltonian formulation is studied, including its covariant Hamiltonian attached to ∇ .

Comportamiento térmico y mecánico del yeso con adiciones de aerogel de sílice granulado

La presente tesis doctoral aborda el estudio de un nuevo material mineral, compuesto principalmente por una matriz de yeso (proveniente de un conglomerante industrial basado en sulfato de calcio multifase) y partículas de aerogel de sílice hidrófugo mesoporoso, compatibilizadas mediante un surfactante polimérico, debido a su alto carácter hidrófugo. La investigación se centra en conocer los factores que influyen en las propiedades mecánicas y conductividad térmica del material compuesto generado. Este estudio pretende contribuir al conocimiento sobre el desarrollo de nuevos morteros de elevado aislamiento térmico que puedan ser utilizados en la rehabilitación energética de edificios de viviendas existentes, debido a que estos representan gran parte del consumo energético del parque de viviendas de España, aunque también a nivel internacional. De los materiales utilizados para desarrollar los morteros estudiados, el yeso, además de ser un material muy abundante, especialmente en España, requiere una menor cantidad de energía para la fabricación de un conglomerante (debido a una menor temperatura de fabricación), en comparación con el cemento o la cal, por lo que presenta una menor huella de carbono que estos últimos. Por otro lado, el aerogel de sílice hidrófugo mesoporoso es, de acuerdo con la documentación disponible, el material que posee actualmente la mayor capacidad de aislamiento térmico en el mercado. El desarrollo de nuevos morteros minerales con una capacidad de aislamiento térmico mayor que los materiales aislantes utilizados tradicionalmente, tiene una aplicación relevante en los casos de rehabilitación energética de edificios históricos y patrimoniales, en los que se requiere la aplicación del aislamiento por el interior de la fachada, ya que este tipo de soluciones tienen el inconveniente de reducir el espacio habitable de las áreas involucradas, especialmente en zonas climáticas en las que el aislamiento térmico puede suponer un espesor considerable, por lo que es ideal utilizar materiales de altas prestaciones de aislamiento térmico capaces de aportar el mismo nivel de aislamiento (o incluso mayor), pero en un espesor considerablemente menor. La investigación se desarrolla en tres etapas: bibliográfica, experimental y de simulación. La primera etapa, parte del estudio de la bibliografía existente, relacionada con materiales aislantes, incluyendo soluciones basadas, tanto en morteros aislantes, como en paneles de aislamiento térmico. La segunda, de carácter experimental, se centra en estudiar la influencia de la microestrucrura y macroestructura, del nuevo material mineral, en las propiedades físicas elementales, mecánicas y conductividad térmica del compuesto. La tercera etapa, mediante una simulación del consumo energético, consiste en cuantificar teóricamente el potencial ahorro energético que puede aportar este material en un caso de rehabilitación energética en particular. La investigación experimental se centró principalmente en conocer los factores principales que influyen en las propiedades mecánicas y conductividad térmica de los materiales compuestos minerales desarrollados en esta tesis. Para ello, se llevó a cabo una caracterización de los materiales de estudio, así como el desarrollo de distintas muestras de ensayo, de tal forma que se pudo estudiar, tanto la hidratación del yeso en los compuestos, como su posterior microestructura y macroestructura, aspectos fundamentales para el entendimiento de las propiedades mecánicas y conductividad térmica del compuesto aislante. De este modo, se pudieron conocer y cuantificar, los factores que influyen en las propiedades estudiadas, aportando una base de conocimiento y entendimiento de este tipo de compuestos minerales con aerogel de sílice hidrófugo, no existiendo estudios publicados hasta el momento de finalización de esta tesis, con la aproximación al material propuesta en este estudio, ni con yeso (basado en sulfato de calcio multifase), ni con otro tipo de conglomerantes. Particularmente, se determinó la influencia que tiene la incorporación de partículas de aerogel de sílice hidrófugo, en grandes proporciones en volumen, en un compuesto mineral basado en distintas fases de sulfato de calcio. No obstante, para llevar a cabo las mezclas, fue necesario utilizar un surfactante para compatibilizar este tipo de partículas, con el conglomerante basado en agua. El uso de este tipo de aditivos tiene una influencia, no solo en el aerogel, sino en las propiedades del compuesto en general, dependiendo de su concentración, por lo que se establecieron dos porcentajes de adición: la primera, determinada a partir de la cantidad mínima necesaria para compatibilizar las mezclas (0,1% del agua de amasado), y la segunda, como límite superior, la concentración utilizada habitualmente a nivel industrial para estabilizar burbujas de aire en hormigones espumados (5%). El surfactante utilizado mostró la capacidad de modificar la superficie del aerogel, cambiando el comportamiento de las partículas frente al agua, permitiendo una invasión parcial de su estructura porosa, por parte del agua de amasado. Este comportamiento supone un aumento muy importante en la relación agua/yeso, afectando el hábito cristalino e influenciando negativamente las propiedades mecánicas de la matriz de yeso, presentando un efecto aún notable a mayor concentración de surfactante (5%). En cuanto a las propiedades finales alcanzadas, fue posible lograr un compuesto mineral ultraligero (200 kg/m3), con alrededor de un 60% de aerogel en volumen y de alta capacidad aislante (0,028 W/m•K), presentando una conductividad térmica notablemente menor que los morteros aislantes del mercado, e incluso también menor que la de los aislantes tradicionales basado en las lanas minerales o EPS; no obstante, con la limitante de presentar bajas propiedades mecánicas, condicionando su posible aplicación futura. Entre los factores principales relacionados con las propiedades mecánicas, se encontró que estas dependen exponencialmente del volumen de yeso en el compuesto; no obstante, factores de segundo orden, como el grado de hidratación, o una mejor distribución del conglomerante entre las partículas de aerogel, debido al aumento de la superficie específica del polvo mineral, pueden aumentar las propiedades mecánicas entre el doble y el triple, dependiendo del volumen de aerogel en cuestión. Además, se encontró que el aerogel, en conjunto con el surfactante, es capaz de introducir una gran cantidad de aire (0,70 m3 por cada m3 de aerogel), que unido al agua evaporada (no consumida por el conglomerante durante la hidratación), el volumen de aire total alcanza, generalmente, un 40%, independientemente de la cantidad de aerogel en la mezcla. De este modo, el aire introducido en la matriz desplaza las proporciones en volumen del aerogel y del yeso, disminuyendo, tanto las propiedades mecánicas, como la capacidad aislante de compuesto mineral. Por otro lado, la conductividad térmica mostró tener una dependencia directa de la contribución de las tres fases principales en el compuesto: yeso, aerogel y aire ocluido. De este modo, se pudo desarrollar un modelo matemático, adaptado de uno existente, capaz de calcular, con bastante precisión, la relación de los tres componentes mencionados, en la conductividad térmica de los compuestos, para el rango de volúmenes y materiales utilizados en esta tesis. Finalmente, la simulación del consumo energético realizada a una vivienda típica de España, de los años 1900 a 1959 (basada en muros de ladrillo macizo), para las zonas climáticas estudiadas (A, D y E), permitió observar el potencial ahorro energético que puede aportar este material, dependiendo de su espesor, como aislamiento interior de los muros de fachada. Particularmente, para la zona A, se determinó un espesor óptimo de 1 cm, mientras que para la zona D y E, 3,5 y 3,9 cm respectivamente. En este sentido, el nuevo material estudiado es capaz de disminuir, entre un 35% y un 80%, el espesor de la capa aislante, en comparación con paneles de lana de roca o los morteros minerales de mayor capacidad aislante del mercado español respectivamente. ABSTRACT The present doctoral thesis studies a new mineral-based composite material, composed by a gypsum matrix (based on an industrial multiphase gypsum binder) and mesoporous hydrophobic silica aerogel particles, compatibilized with a polymeric surfactant due to the high hydrophobic character of the insulating particles. This study pretends to contribute to the development of new composite insulating materials that could be used in energy renovation of existing dwellings, in order to reduce their high energy consumption, as they represent a great part of the total energy consumed in Spain, but also internationally. Between the materials used to develop de studied insulating mortars, gypsum, besides being an abundant material, especially in Spain, requires less energy for the manufacture of a mineral binder (due to lower manufacturing temperatures), compared to lime or cement, thus presenting lower carbon footprint. In other hand, the hydrophobic mesoporous silica aerogel, is, according to the existing references, the material with the highest know insulating capacity in the market. The development of new mineral mortars with higher thermal insulation capacity than traditional insulating materials, presents a relevant application in energy retrofitting of historic and cultural heritage buildings, in which implies that the insulating material should be installed as an internal layer, rather than as an external insulating system. This type of solution involves a reduced internal useful area, especially in climatic zones where the demand for thermal insulation is higher, and so the insulating layer thickness, being idealistic to use materials with very high insulating properties, in order to reach same insulating level (or higher), but in lower thickness than the provided by traditional insulating materials. This research is developed in three main stages: bibliographic, experimental and simulation. The first stage starts by studying the existing references regarding thermally insulating materials, including existing insulating mortars and insulating panels. The second stage, mainly experimental, is centered in the study of the the influence of the microstructure and macrostructure in the physical and mechanical properties, and also in the thermal conductivity of the new mineral-based material. The thirds stage, through energy simulation, consists in theoretically quantifying the energy savings potential that can provide this type of insulating material, in a particular energy retrofitting case study. The experimental research is mainly focused in the study of the factors that influence the mechanical properties and the thermal conductivity of the thermal insulating mineral composites developed in this thesis. For this, the characterization of the studied materials has been performed, as well as the development of several experimental samples, in order to study the hydration of the mineral binder within the composites, but also the final microstructure and macrostructure, fundamental aspects for the understanding of the composite’s mechanical and insulating properties. Thus, is was possible to determine and quantify the factors that influence the studied material properties, providing a knowledge base and understanding of mineral composites that comprises mesoporous hydrophobic silica aerogel particles, being the first study up to date regarding the specific approach of the present study, regarding not just multiphase calcium sulfate plaster, but also other mineral binders. Particularly, the influence of the incorporation of hydrophobic silica aerogel particles, in high volume ratios into a mineral compound, based on different phases of calcium sulfate has been determined. However, to perform mixing, it is necessary to use a surfactant in order to compatibilize these particles with the water-based mineral binder. The use of such additives has an influence, not only in the aerogel, but the overall properties of the compound, so two different surfactant concentration has been studied: the first, the minimum amount of surfactant (used in this thesis) in order to develop the slurries (0.1% concentration of the mixing water), and the second, as the upper limit, the concentration usually used industrially to stabilize air bubbles in foamed concrete (5%). One of the side effects of using such additive, was the modification of the aerogel particles, by changing their behavior in respect to water, generating a partial invasion of the aerogel’s porous structure, by the mixing water. This behavior produces a very important increase in water/binder ratios, affecting the crystal habit and negatively influencing the mechanical properties of the gypsum matrix. This effect further increased when a higher concentration of surfactant (5%) is used. Regarding final materials properties, it was possible to achieve an ultra-lightweight mineral composite (200 kg/m3), with around 60% by volume of aerogel, presenting a very high insulating capacity (0.028 W/m•K), a noticeable lower thermal conductivity compared to the insulating mortars and traditional thermal insulating panels on the market, such as mineral wool or EPS; however, the limiting factor for future’s material application in buildings, is related to the very low mechanical properties achieved. Among the main factors related to the mechanical properties, it has been found an exponential correlation to the volume of gypsum in the composite. However, second-order factors such as the degree of hydration, or a better distribution of the binder between the aerogel particles, due to the increased surface area of the mineral powder, can increase the mechanical properties between two to three times, depending aerogel volume involved. In addition, it was found that the aerogel, together with the surfactant, is able to entrain a large amount of air volume (around 0.70 m3 per m3 of aerogel), which together with the evaporated water (not consumed by the binder during hydration), can reach generally around 40% of entrained air within the gypsum matrix, regardless of the amount of aerogel in the mixture. Thus, the entrained air into the matrix displaces the volume proportions of the aerogel and gypsum, reducing both mechanical and insulating properties of the mineral composite. On the other hand, it has been observed a direct contribution of three main phases into the thermal conductivity of the composite: gypsum, aerogel and entrained air. Thus, it was possible to develop a mathematical model (adapted from an existing one), capable of calculating quite accurate the thermal conductivity of such mineral composites, from the ratio these three components and for the range of volumes and materials used in this thesis. Finally, the energy simulation performed to a typical Spanish dwelling, from the years 1900 to 1959 (mainly constructed with massive clay bricks), within three climatic zones of Spain (A, D and E), showed the energy savings potential that can provide this type of insulating material, depending on the thickness of the applied layer. Particularly, for the climatic A zone, it has been found an optimal layer thickness of 1 cm, while for zone D and E, 3.5 and 3.9 cm respectively. In this manner, the new studied materials is capable of decreasing the thickness of the insulating layer by 35% and 80%, compared with rock wool panels or mineral mortars with the highest insulating performance of the Spanish market respectively.

Blind separation of auditory event-related brain responses into independent components

Averaged event-related potential (ERP) data recorded from the human scalp reveal electroencephalographic (EEG) activity that is reliably time-locked and phase-locked to experimental events. We report here the application of a method based on information theory that decomposes one or more ERPs recorded at multiple scalp sensors into a sum of components with fixed scalp distributions and sparsely activated, maximally independent time courses. Independent component analysis (ICA) decomposes ERP data into a number of components equal to the number of sensors. The derived components have distinct but not necessarily orthogonal scalp projections. Unlike dipole-fitting methods, the algorithm does not model the locations of their generators in the head. Unlike methods that remove second-order correlations, such as principal component analysis (PCA), ICA also minimizes higher-order dependencies. Applied to detected—and undetected—target ERPs from an auditory vigilance experiment, the algorithm derived ten components that decomposed each of the major response peaks into one or more ICA components with relatively simple scalp distributions. Three of these components were active only when the subject detected the targets, three other components only when the target went undetected, and one in both cases. Three additional components accounted for the steady-state brain response to a 39-Hz background click train. Major features of the decomposition proved robust across sessions and changes in sensor number and placement. This method of ERP analysis can be used to compare responses from multiple stimuli, task conditions, and subject states.

The role of London forces in defining noncentrosymmetric order of high dipole moment–high hyperpolarizability chromophores in electrically poled polymeric thin films

Graphs of second harmonic generation coefficients and electro-optic coefficients (measured by ellipsometry, attenuated total reflection, and two-slit interference modulation) as a function of chromophore number density (chromophore loading) are experimentally observed to exhibit maxima for polymers containing chromophores characterized by large dipole moments and polarizabilities. Modified London theory is used to demonstrated that this behavior can be attributed to the competition of chromophore-applied electric field and chromophore–chromophore electrostatic interactions. The comparison of theoretical and experimental data explains why the promise of exceptional macroscopic second-order optical nonlinearity predicted for organic materials has not been realized and suggests routes for circumventing current limitations to large optical nonlinearity. The results also suggest extensions of measurement and theoretical methods to achieve an improved understanding of intermolecular interactions in condensed phase materials including materials prepared by sequential synthesis and block copolymer methods.

Linear and nonlinear pathways of spectral information transmission in the cochlear nucleus

At the level of the cochlear nucleus (CN), the auditory pathway divides into several parallel circuits, each of which provides a different representation of the acoustic signal. Here, the representation of the power spectrum of an acoustic signal is analyzed for two CN principal cells—chopper neurons of the ventral CN and type IV neurons of the dorsal CN. The analysis is based on a weighting function model that relates the discharge rate of a neuron to first- and second-order transformations of the power spectrum. In chopper neurons, the transformation of spectral level into rate is a linear (i.e., first-order) or nearly linear function. This transformation is a predominantly excitatory process involving multiple frequency components, centered in a narrow frequency range about best frequency, that usually are processed independently of each other. In contrast, type IV neurons encode spectral information linearly only near threshold. At higher stimulus levels, these neurons are strongly inhibited by spectral notches, a behavior that cannot be explained by level transformations of first- or second-order. Type IV weighting functions reveal complex excitatory and inhibitory interactions that involve frequency components spanning a wider range than that seen in choppers. These findings suggest that chopper and type IV neurons form parallel pathways of spectral information transmission that are governed by two different mechanisms. Although choppers use a predominantly linear mechanism to transmit tonotopic representations of spectra, type IV neurons use highly nonlinear processes to signal the presence of wide-band spectral features.

Volunteer Engagement: Does Engagement Predict the Degree of Satisfaction among New Volunteers and the Commitment of Those who have been Active Longer?

This study examines the concept of engagement in samples of volunteers from different non-profit organisations. Study 1 analyzes the psychometric properties of the abbreviated version of the Utrecht Work Engagement Scale (UWES) (Schaufeli, Bakker, & Salanova, 2006a). Two factorial structures are examined: one-dimensional and three-dimensional structures. Based on the Three-Stage Model of Volunteers’ Duration of Service (Chacón, Vecina, & Dávila, 2007), Study 2 investigates the relationship between engagement, volunteer satisfaction, and intention to remain in a sample of new volunteers and the relationship between engagement, organisational commitment, and intention to remain in a sample of veteran volunteers. Moderated mediation analysis is provided using duration of service as a moderator in order to set a splitting point between new and veteran volunteers. The results of the confirmatory factor analysis suggest that the three-factor model fits better to the data. Regarding the structural models, the first one shows that engagement is crucial to volunteer satisfaction during the first stage, while volunteer satisfaction is the key variable in explaining intention to continue. The second structural model shows that engagement reinforces the participant’s commitment to the organisation, while organizational commitment predicts intention to continue. Both models demonstrate a notable decline when samples are changed.

Estudo de equilíbrio e cinética da biossorção de cobre (II) por Rhizopus Microsporus.

A poluição relacionada a metais pesados tem recebido uma atenção especial devido a sua alta toxicidade, não biodegradabilidade e tendência de acumular-se na cadeia alimentar. Apesar disso, metais pesados também são considerados recursos valiosos, portanto a sua remoção em conjunto com a sua recuperação torna-se ainda mais importante. Este caso aplica-se aos rejeitos de mineração de cobre, os quais oferecem a possibilidade de recuperação do metal e de sua contenção de maneira segura do meio ambiente. Tais rejeitos se caracterizam por ocuparem enormes áreas inundadas e abrigarem soluções diluídas de cobre (II), porém, muitas vezes, acima dos limites seguros. Diversos processos tradicionais de tratamento mostram-se disponíveis para remover o cobre de tais soluções, no entanto, em certas aplicações eles podem ser ineficientes ou muito onerosos. Nesse contexto, a biossorção é uma alternativa interessante. Nesse processo, certos microrganismos, como fungos, bactérias e algas, ligam-se passivamente ao cobre na forma íons ou outras moléculas em soluções. No presente trabalho foi avaliado o potencial de biossorção de íons cobre (II) pela biomassa do fungo Rhizopus microsporus, coletado e isolado da área de rejeitos da Mina do Sossego, na região norte do Brasil. Isotermas de biossorção foram determinadas experimentalmente em bateladas sob temperatura de 25°C, agitação de 150 rpm, concentração de biomassa de 2,0 a 2,5 g/L e tempo de contato mínimo de 4 horas. O pH mostrou ser um fator importante no equilíbrio da biossorção, sendo o valor máximo da capacidade de biossorção de 33,12 mg de cobre / g biomassa encontrado em pH 6. Valores sucessivamente menores são encontrados pela acidificação da solução, sendo o pH 1 considerado adequado para o processo de dessorção, correspondendo a uma capacidade de biossorção de 1,95 mg/g. Modelos de adsorção de Langmuir e de Freundlich ajustaram-se adequadamente às isotermas tanto com pH controlado quanto não controlado. Foi constatado que a troca iônica é um dos mecanismos envolvidos na biossorção do cobre com Rhizopus microsporus. Tanto o modelo de pseudo-primeira ordem quanto o de pseudo-segunda ordem ajustaram-se aos dados cinéticos da biossorção, sendo que o equilíbrio ocorre em aproximadamente 4 horas. A biomassa conservou a capacidade de biossorção ao operar repetidamente em três ciclos de sorção-dessorção. A biomassa viável e a morta não apresentaram diferença estatisticamente significativa na capacidade de biossorção.

Cotunneling theory of atomic spin inelastic electron tunneling spectroscopy

We propose cotunneling as the microscopic mechanism that makes possible inelastic electron tunneling spectroscopy of magnetic atoms in surfaces for a wide range of systems, including single magnetic adatoms, molecules, and molecular stacks. We describe electronic transport between the scanning tip and the conducting surface through the magnetic system (MS) with a generalized Anderson model, without making use of effective spin models. Transport and spin dynamics are described with an effective cotunneling Hamiltonian in which the correlations in the magnetic system are calculated exactly and the coupling to the electrodes is included up to second order in the tip MS and MS substrate. In the adequate limit our approach is equivalent to the phenomenological Kondo exchange model that successfully describes the experiments. We apply our method to study in detail inelastic transport in two systems, stacks of cobalt phthalocyanines and a single Mn atom on Cu2N. Our method accounts for both the large contribution of the inelastic spin exchange events to the conductance and the observed conductance asymmetry.

Removal of 8-quinolinecarboxylic acid pesticide from aqueous solution by adsorption on activated montmorillonites

Sodium montmorillonite (Na-M), acidic montmorillonite (H-M), and organo-acidic montmorillonite (Org-H-M) were applied to remove the herbicide 8-quinolinecarboxylic acid (8-QCA). The montmorillonites containing adsorbed 8-QCA were investigated by transmission electron microscopy, FT-IR spectroscopy, X-ray diffraction analysis, X-ray fluorescence thermogravimetric analysis, and physical adsorption of gases. Experiments showed that the amount of adsorbed 8-QCA increased at lower pH, reaching a maximum at pH 2. The adsorption kinetics was found to follow the pseudo-second-order kinetic model. The Langmuir model provided the best correlation of experimental data for adsorption equilibria. The adsorption of 8-QCA decreased in the order Org-H-M > H-M > Na-M. Isotherms were also used to obtain the thermodynamic parameters. The negative values of ΔG indicated the spontaneous nature of the adsorption process.

Algerian natural montmorillonites for arsenic(III) removal in aqueous solution

The adsorption of As(III) from aqueous solutions using naturally occurring and modified Algerian montmorillonites has been investigated as a function of contact time, pH, and temperature. Kinetic studies reveal that uptake of As(III) ions is rapid within the first 3 h, and it slows down thereafter. Equilibrium studies show that As(III) shows the highest affinity toward acidic montmorillonite even at very low concentration of arsenic. The kinetics of As(III) adsorption on all montmorillonites used is well described by a pseudo-second-order chemical reaction model, which indicates that the adsorption process of these species is likely to be chemisorption. Adsorption isotherms of As(III) fitted the Langmuir and Freundlich isotherm models well. The adsorption of As(III) is pH-dependent obtaining an optimal adsorption at pH 5. From the thermodynamic parameters, it is concluded that the process is exothermic, spontaneous, and favorable. The results suggest that M1, M2, and acidic-M2 could be used as low-cost and effective filtering materials for removal of arsenic from water.

Psychometric properties of the Spence Children's Anxiety Scale with young adolescents

The psychometric properties of the Spence Children's Anxiety Scale (SCAS) were examined with 875 adolescents aged 13 and 14 years. This self-report measure was designed to evaluate symptoms relating to separation anxiety, social phobia, obsessive-compulsive disorder, panic-agoraphobia, generalized anxiety, and fears of physical injury. Results of confirmatory and exploratory factor analyses supported six factors consistent with the hypothesized subtypes of anxiety. There was support also for a model in which the first-order factors loaded significantly on a single second-order factor of anxiety in general. The internal consistency of the total score and sub-scales was high, and 12-week test-retest reliability was satisfactory. The SCAS correlated strongly with a frequently used child self-report measure of anxiety and significantly, albeit at a lower level, with a measure of depression. (C) 2002 Elsevier Inc. All rights reserved.

New approximation for free surface flow of groundwater: capillarity correction

An existing capillarity correction for free surface groundwater flow as modelled by the Boussinesq equation is re-investigated. Existing solutions, based on the shallow flow expansion, have considered only the zeroth-order approximation. Here, a second-order capillarity correction to tide-induced watertable fluctuations in a coastal aquifer adjacent to a sloping beach is derived. A new definition of the capillarity correction is proposed for small capillary fringes, and a simplified solution is derived. Comparisons of the two models show that the simplified model can be used in most cases. The significant effects of higher-order capillarity corrections on tidal fluctuations in a sloping beach are also demonstrated. (c) 2004 Elsevier Ltd. All rights reserved.

Phase-space analysis of bosonic spontaneous emission

We present phase-space techniques for the modelling of spontaneous emission in two-level bosonic atoms. The positive-P representation is shown to give a full and complete description within the limits of our model. The Wigner representation, even when truncated at second order, is shown to need a doubling of the phase-space to allow for a positive-definite diffusion matrix in the appropriate Fokker-Planck equation and still fails to agree with the full quantum results of the positive-P representation. We show that quantum statistics and correlations between the ground and excited states affect the dynamics of the emission process, so that it is in general non-exponential. (c) 2005 Elsevier B.V. All rights reserved.

Novel strategies in feedforward adaptation to a position-dependent perturbation

To investigate the control mechanisms used in adapting to position-dependent forces, subjects performed 150 horizontal reaching movements over 25 cm in the presence of a position-dependent parabolic force field (PF). The PF acted only over the first 10 cm of the movement. On every fifth trial, a virtual mechanical guide (double wall) constrained subjects to move along a straight-line path between the start and target positions. Its purpose was to register lateral force to track formation of an internal model of the force field, and to look for evidence of possible alternative adaptive strategies. The force field produced a force to the right, which initially caused subjects to deviate in that direction. They reacted by producing deviations to the left, into the force field, as early as the second trial. Further adaptation resulted in rapid exponential reduction of kinematic error in the latter portion of the movement, where the greatest perturbation to the handpath was initially observed, whereas there was little modification of the handpath in the region where the PF was active. Significant force directed to counteract the PF was measured on the first guided trial, and was modified during the first half of the learning set. The total force impulse in the region of the PF increased throughout the learning trials, but it always remained less than that produced by the PF. The force profile did not resemble a mirror image of the PF in that it tended to be more trapezoidal than parabolic in shape. As in previous studies of force-field adaptation, we found that changes in muscle activation involved a general increase in the activity of all muscles, which increased arm stiffness, and selectively-greater increases in the activation of muscles which counteracted the PF. With training, activation was exponentially reduced, albeit more slowly than kinematic error. Progressive changes in kinematics and EMG occurred predominantly in the region of the workspace beyond the force field. We suggest that constraints on muscle mechanics limit the ability of the central nervous system to employ an inverse dynamics model to nullify impulse-like forces by generating mirror-image forces. Consequently, subjects adopted a strategy of slightly overcompensating for the first half of the force field, then allowing the force field to push them in the opposite direction. Muscle activity patterns in the region beyond the boundary of the force field were subsequently adjusted because of the relatively-slow response of the second-order mechanics of muscle impedance to the force impulse.

Sheet flow sediment transport under waves with acceleration skewness and boundary layer streaming

The effect of acceleration skewness on sheet flow sediment transport rates (q) over bar (s) is analysed using new data which have acceleration skewness and superimposed currents but no boundary layer streaming. Sediment mobilizing forces due to drag and to acceleration (similar to pressure gradients) are weighted by cosine and sine, respectively, of the angle phi(.)(tau)phi(tau) = 0 thus corresponds to drag dominated sediment transport, (q) over bar (s)similar to vertical bar u(infinity)vertical bar u(infinity), while phi(tau) = 90 degrees corresponds to total domination by the pressure gradients, (q) over bar similar to du(infinity)/dt. Using the optimal angle, phi = 51 degrees based on that data, good agreement is subsequently found with data that have strong influence from boundary layer streaming. Good agreement is also maintained with the large body of U-tube data simulating sine waves with superimposed currents and second-order Stokes waves, all of which have zero acceleration skewness. The recommended model can be applied to irregular waves with arbitrary shape as long as the assumption negligible time lag between forcing and sediment transport rate is valid. With respect to irregular waves, the model is much easier to apply than the competing wave-by-wave models. Issues for further model developments are identified through a comprehensive data review.