Single-particle momentum distributions of Efimov states in mixed-species systems

We solve the three-body bound-state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero range. The system displays the Efimov effect and we use the momentum-space wave equation to derive formulas for the scaling factor of the Efimov spectrum for any mass ratio assuming either that two or three of the two-body subsystems have a bound state at zero energy. We consider the single-particle momentum distribution analytically and numerically and analyze the tail of the momentum distribution to obtain the three-body contact parameter. Our findings demonstrate that the functional form of the three-body contact term depends on the mass ratio, and we obtain an analytic expression for this behavior. To exemplify our results, we consider mixtures of lithium with either two caesium or rubidium atoms which are systems of current experimental interest. © 2013 American Physical Society.

Contact parameters in two dimensions for general three-body systems

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Trimer-Tetramer Interwoven States in the Scaling Limit

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Single-Particle Momentum Distributions for Bosonic Trimer States in Two and Three Dimensions

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Mass-Imbalanced Three-Body Systems in 2D: Bound States and the Analytical Approach to the Adiabatic Potential

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Universality of Three-Body Systems in 2D: Parametrization of the Bound States Energies

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process

Quasi-birth-and-death (QBD) processes with infinite “phase spaces” can exhibit unusual and interesting behavior. One of the simplest examples of such a process is the two-node tandem Jackson network, with the “phase” giving the state of the first queue and the “level” giving the state of the second queue. In this paper, we undertake an extensive analysis of the properties of this QBD. In particular, we investigate the spectral properties of Neuts’s R-matrix and show that the decay rate of the stationary distribution of the “level” process is not always equal to the convergence norm of R. In fact, we show that we can obtain any decay rate from a certain range by controlling only the transition structure at level zero, which is independent of R. We also consider the sequence of tandem queues that is constructed by restricting the waiting room of the first queue to some finite capacity, and then allowing this capacity to increase to infinity. We show that the decay rates for the finite truncations converge to a value, which is not necessarily the decay rate in the infinite waiting room case. Finally, we show that the probability that the process hits level n before level 0 given that it starts in level 1 decays at a rate which is not necessarily the same as the decay rate for the stationary distribution.

Least limiting water range in assessing compaction in a Brazilian Cerrado latosol growing sugarcane

In the south-central region of Brazil, there is a trend toward reducing the sugarcane inter-harvest period and increasing traffic of heavy harvesting machinery on soil with high water content, which may intensify the compaction process. In this study, we assessed the structural changes of a distroferric Red Latosol (Oxisol) by monitoring soil water content as a function of the Least Limiting Water Range (LLWR) and quantified its effects on the crop yield and industrial quality of the first ratoon crop of sugarcane cultivars with different maturation cycles. Three cultivars (RB 83-5054, RB 84-5210 and RB 86-7515) were subjected to four levels of soil compaction brought about by a differing number of passes of a farm tractor (T0 = soil not trafficked, T2 = 2 passes, T10 = 10 passes, and T20 = 20 passes of the tractor in the same place) in a 3 × 4 factorial arrangement with three replications. The deleterious effects on the soil structure from the farm machinery traffic were limited to the surface layer (0-10 cm) of the inter-row area of the ratoon crop. The LLWR dropped to nearly zero after 20 tractor passes between the cane rows. We detected differences among the cultivars studied; cultivar RB 86-7515 stood out for its industrial processing quality, regardless of the level of soil compaction. Monitoring of soil moisture in the crop showed exposure to water stress conditions, although soil compaction did not affect the production variables of the sugarcane cultivars. We thus conclude that the absence of traffic on the plant row maintained suitable soil conditions for plant development and may have offset the harmful effects of soil compaction shown by the high values for bulk density between the rows of the sugarcane cultivars.

Population genetic structure in the native and introduced range of the Argentine ant/

SUMMARY : The evolution of animal societies, where some individuals forego their own reproductive opportunities to help others to reproduce, poses an evolutionary paradox that can be traced back to Darwin. Altruism may evolve through kin selection when the donor and recipient of altruistic acts are related to each other. In social insects, workers are generally highly related to the brood they rear when colonies are headed by a single queen. Yet some ants have an extraordinary social organization, called unicoloniality, whereby individuals from separate nests mix freely to form large supercolonies, which in some cases extend over hundreds of km. These supercolonies are characterised by a high number of queens (polygyny) and an absence of clear colony boundaries. This type of social organization represents an evolutionary paradox because relatedness between nestmates is effectively zero. In such conditions, kin selection cannot account for the evolution of reproductive altruism. Moreover, unicoloniality is thought to be unstable over time, because workers that can no longer aid close relatives may evolve more selfish strategies. The Argentine ant (Linepithema humile) is a highly invasive species listed among the hundred world's worst invaders by the UICN. Native from South America, L. humile has been accidentally introduced throughout the world. Native populations have been described as noninvasive with a family-based organization. In contrast, within its introduction range, they form unicolonial supercolonies that contain numerous nests without intraspecific aggression. The development of such unicolonial populations has been explained as a direct consequence of the ant's introduction into a new habitat, favouring a transition from family-based to open colonies. To determine if the social structure of the Argentine ant is fundamentally different between the native and the introduced range, we studied genetically and behaviourally native and introduced populations of L. humile over different geographic scales. Our results clearly indicated that there are no fundamental differences in the social organisation of the Argentine ant between the two ranges. Our investigations revealed that, contrary to previous claims, native populations have a unicolonial social organisation very similar to that observed in the introduced range. Consequently, the unicolonial social structure of the Argentine ant does not stem from a shift in social organization associated with introduction into new habitats but evolved in the native range and is likely a stable, evolutionarily ancient adaptation to the local environment. Our study on native populations of L. humile also gave important insight in the comprehension of the evolution of unicoloniality in the Argentine ant. Native supercolonies are relatively small compared to introduced ones and may co-habit in a same population. These supercolonies are genetically highly differentiated leading to a significant relatedness among nestmate workers when the different supercolonies of a population are taken as a reference population. This provides the necessary conditions for loin selection to operate. Furthermore, we examined a native population over time, which revealed a high supercolony extinction rate. If more competitive supercolonies are more likely to survive or replace other supercolonies, a subtle dynamical process between the spread of selfish traits within supercolony and the selective elimination of supercolonies with such traits may allow a stable equilibrium and the persistence of unicoloniality over time. Finally, a worldwide study of the Argentine ant showed that the introduced supercolonies originate from numerous independent introduction events. In conclusion, the success of the Argentine ant does not stem from a shift in social organization associated with its introduction into new habitats, but is most probably explained by the intrinsic characteristics developed in its native range. RESUME : L'altruisme de reproduction où certains individus renoncent à leur propre reproduction pour aider d'autres individus à se reproduire constitue l'un des plus grand paradoxe de l'évolution. En effet, comment expliquer l'évolution de comportements qui tendent à augmenter les chances de survie et le succès reproductif d'autres individus, alors que ces actes diminuent l'aptitude de leurs auteurs ? La théorie de la sélection de parentèle permet de résoudre ce problème. Cette théorie stipule qu'en aidant de proches parents à se reproduire, les individus peuvent promouvoir indirectement la transmission de copies de leurs propres gènes à la génération suivante. Chez les insectes sociaux, l'altruisme des ouvrières s'explique par la théorie de sélection de parentèle lorsque les colonies sont monogynes (constituées d'une seule reine) puisque les ouvrières sont fortement apparentées aux couvains dont elles s'occupent. Par contre, les espèces dites unicoloniales, dont les colonies forment des réseaux de nids appelés supercolonies, représentent toujours un paradoxe pour les théories de l'évolution puisque l'apparentement entre les différents individus d'un nid est nulle. De plus, l'unicolonialité ne devrait pas être stable sur le long terme parce que les ouvrières qui ne s'occupent plus de leur apparentés devraient développer des stratégies plus égoïstes au cours du temps. La fourmi d'Argentine (Linepithema humile) est une espèce invasive ayant un impact considérable sur son environnement. Originaire d'Amérique du Sud, elle a été introduite dans pratiquement toutes les régions du monde dont le climat est de type méditerranéen. Son incroyable succès invasif s'explique par sa structure sociale unicoloniale observée dans chacun des pays où elle a été introduite. Par contre, les rares études effectuées en Argentine ont suggéré que la fourmi d'Argentine n'était pas unicoloniale dans son aire native. L'unicolonialité chez la fourmi d'Argentine était donc considéré comme une conséquence de son introduction dans de nouveaux environnements. Durant cette thèse, nous avons vérifié si la structure sociale de cette espèce différait fondamentalement entre l'aire native et introduite. Pour cela, nous avons étudié, à différentes échelles géographiques, des populations introduites et argentines avec une approche génétique et comportementale. L'ensemble de nos résultats montrent que les différences entre les deux structure sociales ne sont pas aussi importantes que ce que l'on imaginait. Les populations natives sont aussi constituées de réseaux de nids coopérants. La taille de ses supercolonies est toutefois bien moins importante en Argentine et il n'est pas rare de trouver plusieurs supercolonies cohabitantes dans une même population. Nous avons démontré que ces réseaux de nids étaient constitués d'individus qui sont plus apparentés entre eux qu'ils ne le sont avec les individus d'autres supercolonies, ainsi l'unicolonialité dans son aire d'origine ne représente pas un réel paradoxe pour les théories de l'évolution. Finalement nous avons étudié la même population en Argentine à six ans d'intervalle et avons constaté que les supercolonies avaient un taux de survie très faible ce qui pourrait expliquer la stabilité de l'unicolonialité au cours du temps. Si les supercolonies les plus compétitives survivent mieux que les supercolonies dans lesquelles apparaissent des traits égoïstes, on devrait alors observer une dynamique entre l'apparition de traits égoïstes et l'élimination des supercolonies dans lesquelles ces traits égoïstes évolueraient. Finalement, une étude mondiale nous a montré que les supercolonies étaient originaires de nombreux événements d'introductions indépendants. En conclusion, le succès invasif de la fourmi d'Argentine n'est donc pas dû à un changement de comportement associé à son introduction mais est lié aux caractéristiques qu'elle a développées en Argentine.

Optimization of the Mechanical and Optical Properties of Tunable Optical Sensor Arrays (TOSA) for a Nanospectrometer in the Visible and Near Infrared Spectral Range

Tunable Optical Sensor Arrays (TOSA) based on Fabry-Pérot (FP) filters, for high quality spectroscopic applications in the visible and near infrared spectral range are investigated within this work. The optical performance of the FP filters is improved by using ion beam sputtered niobium pentoxide (Nb2O5) and silicon dioxide (SiO2) Distributed Bragg Reflectors (DBRs) as mirrors. Due to their high refractive index contrast, only a few alternating pairs of Nb2O5 and SiO2 films can achieve DBRs with high reflectivity in a wide spectral range, while ion beam sputter deposition (IBSD) is utilized due to its ability to produce films with high optical purity. However, IBSD films are highly stressed; resulting in stress induced mirror curvature and suspension bending in the free standing filter suspensions of the MEMS (Micro-Electro-Mechanical Systems) FP filters. Stress induced mirror curvature results in filter transmission line degradation, while suspension bending results in high required filter tuning voltages. Moreover, stress induced suspension bending results in higher order mode filter operation which in turn degrades the optical resolution of the filter. Therefore, the deposition process is optimized to achieve both near zero absorption and low residual stress. High energy ion bombardment during film deposition is utilized to reduce the film density, and hence the film compressive stress. Utilizing this technique, the compressive stress of Nb2O5 is reduced by ~43%, while that for SiO2 is reduced by ~40%. Filters fabricated with stress reduced films show curvatures as low as 100 nm for 70 μm mirrors. To reduce the stress induced bending in the free standing filter suspensions, a stress optimized multi-layer suspension design is presented; with a tensile stressed metal sandwiched between two compressively stressed films. The stress in Physical Vapor Deposited (PVD) metals is therefore characterized for use as filter top-electrode and stress compensating layer. Surface micromachining is used to fabricate tunable FP filters in the visible spectral range using the above mentioned design. The upward bending of the suspensions is reduced from several micrometers to less than 100 nm and 250 nm for two different suspension layer combinations. Mechanical tuning of up to 188 nm is obtained by applying 40 V of actuation voltage. Alternatively, a filter line with transmission of 65.5%, Full Width at Half Maximum (FWHM) of 10.5 nm and a stopband of 170 nm (at an output wavelength of 594 nm) is achieved. Numerical model simulations are also performed to study the validity of the stress optimized suspension design for the near infrared spectral range, wherein membrane displacement and suspension deformation due to material residual stress is studied. Two bandpass filter designs based on quarter-wave and non-quarter-wave layers are presented as integral components of the TOSA. With a filter passband of 135 nm and a broad stopband of over 650 nm, high average filter transmission of 88% is achieved inside the passband, while maximum filter transmission of less than 1.6% outside the passband is achieved.

Curve crossing for the reflected Levy process at zero and infinity

Let $R_{t}=\sup_{0\leq s\leq t}X_{s}-X_{t}$ be a Levy process reflected in its maximum. We give necessary and sufficient conditions for finiteness of passage times above power law boundaries at infinity. Information as to when the expected passage time for $R_{t}$ is finite, is given. We also discuss the almost sure finiteness of $\limsup_{t\to 0}R_{t}/t^{\kappa}$, for each $\kappa\geq 0$.

When long-range zero-lag synchronization is feasible in cortical networks

Many studies have reported long-range synchronization of neuronal activity between brain areas, in particular in the beta and gamma bands with frequencies in the range of 14–30 and 40–80 Hz, respectively. Several studies have reported synchrony with zero phase lag, which is remarkable considering the synaptic and conduction delays inherent in the connections between distant brain areas. This result has led to many speculations about the possible functional role of zero-lag synchrony, such as for neuronal communication, attention, memory, and feature binding. However, recent studies using recordings of single-unit activity and local field potentials report that neuronal synchronization may occur with non-zero phase lags. This raises the questions whether zero-lag synchrony can occur in the brain and, if so, under which conditions. We used analytical methods and computer simulations to investigate which connectivity between neuronal populations allows or prohibits zero-lag synchrony. We did so for a model where two oscillators interact via a relay oscillator. Analytical results and computer simulations were obtained for both type I Mirollo–Strogatz neurons and type II Hodgkin–Huxley neurons. We have investigated the dynamics of the model for various types of synaptic coupling and importantly considered the potential impact of Spike-Timing Dependent Plasticity (STDP) and its learning window. We confirm previous results that zero-lag synchrony can be achieved in this configuration. This is much easier to achieve with Hodgkin–Huxley neurons, which have a biphasic phase response curve, than for type I neurons. STDP facilitates zero-lag synchrony as it adjusts the synaptic strengths such that zero-lag synchrony is feasible for a much larger range of parameters than without STDP.

Plastisol foaming process. Decomposition of the foaming agent, polymer behavior in the corresponding temperature range and resulting foam properties

The decomposition of azodicarbonamide, used as foaming agent in PVC—plasticizer (1/1) plastisols was studied by DSC. Nineteen different plasticizers, all belonging to the ester family, two being polymeric (polyadipates), were compared. The temperature of maximum decomposition rate (in anisothermal regime at 5 K min−1 scanning rate), ranges between 434 and 452 K. The heat of decomposition ranges between 8.7 and 12.5 J g−1. Some trends of variation of these parameters appear significant and are discussed in terms of solvent (matrix) and viscosity effects on the decomposition reactions. The shear modulus at 1 Hz frequency was determined at the temperature of maximum rate of foaming agent decomposition, and differs significantly from a sample to another. The foam density was determined at ambient temperature and the volume fraction of bubbles was used as criterion to judge the efficiency of the foaming process. The results reveal the existence of an optimal shear modulus of the order of 2 kPa that corresponds roughly to plasticizer molar masses of the order of 450 ± 50 g mol−1. Heavier plasticizers, especially polymeric ones are too difficult to deform. Lighter plasticizers such as diethyl phthalate (DEP) deform too easily and presumably facilitate bubble collapse.

Non-zero mean Gaussian process prior wind field models

This report outlines the derivation and application of a non-zero mean, polynomial-exponential covariance function based Gaussian process which forms the prior wind field model used in 'autonomous' disambiguation. It is principally used since the non-zero mean permits the computation of realistic local wind vector prior probabilities which are required when applying the scaled-likelihood trick, as the marginals of the full wind field prior. As the full prior is multi-variate normal, these marginals are very simple to compute.