Horizontal potential vorticity dipoles on the convective storm scale

The structure and dynamics of potential vorticity (PV) anomalies generated by convective storms is investigated both theoretically and in a numerical model case study. Linear theory suggests that if the storm-induced heating is on a sufficiently small scale (relative to the Rossby radius of deformation), and the environment contains moderate vertical wind shear (of order 1 m s(-1) km(-1)), then the dominant mode of a diabatically generated PV anomaly is a horizontally oriented dipole. The horizontal dipoles are typically of O(10 PVU), compared with the O(1 PVU) vertical dipoles that have been studied extensively throughout the literature. Furthermore, the horizontal PV dipoles are realized almost entirely as relative vorticity anomalies (on a time-scale of the order of tens of minutes after the heating has been turned on). The analysis of horizontal PV dipoles offers a new perspective on the vorticity dynamics of individual convective cells, implying that moist processes play a role in the maintenance of vertical vorticity in the convective storm environment.

Electrospinning atactic polystyrene: a neutron scattering study

Electrospinning is a method used to produce nanoscale to microscale sized polymer fibres. In this study we electrospin 1:1 blends of deuterated and hydrogenated atactic- Polystyrene from N,N-Dimethylformamide for small angle neutron scattering experiments in order to analyse the chain conformation in the electrospun fibres. Small angle neutron scattering was carried out on randomly orientated fibre mats obtained using applied voltages of 10kV-15kV and needle tip to collector distances of 20cm and 30cm. Fibre diameters varied from 3μm – 20μm. Neutron scattering data from fibre samples were compared with bulk samples of the same polymer blend. The scattering data indicates that there are pores and nanovoiding present in the fibres; this was confirmed by scanning electron microscopy. A model that combines the scattering from the pores and the labelled polymer chains was used to extract values for the radius of gyration. The radius of gyration in the fibres is found to vary little with the applied voltage, but varies with the initial solution concentration and fibre diameter. The values for the radius of gyration in the fibres are broadly equivalent to that of the bulk state.

Modelling small angle neutron scattering data from electrospun fibres

Electrospinning is a technique employed to produce nanoscale to microscale sized fibres by the application of a high voltage to a spinneret containing a polymer solution. Here we examine how small angle neutron scattering data can be modelled to analyse the polymer chain conformation. We prepared 1:1 blends of deuterated and hydrogenated atactic-polystyrene fibres from solutions in N, N-Dimethylformamide and Methyl Ethyl Ketone. The fibres themselves often contain pores or voiding within the internal structure on the length scales that can interfere with scattering experiments. A model to fit the scattering data in order to obtain values for the radius of gyration of the polymer molecules within the fibres has been developed, that includes in the scattering from the voids. Using this model we find that the radius of gyration is 20% larger than in the bulk state and the chains are slightly extended parallel to the fibre axis.

Chain extension in electrospun polystyrene fibres: a SANS study

Small angle neutron scattering techniques were used to quantify the size and shape of the chain conformation in electrospun fibres of atactic polystyrene prepared from solutions in methyl ethyl ketone. Aligned arrays of fibres were collected onto a rotating collector with tangential velocity varying between 0 ms-1 and approximately 15 ms-1. The measured radii of gyration of the polystyrene chains were found to be slightly higher than that expected for samples prepared from solutions in the concentrated regime. The ratio of the radius of gyration parallel and perpendicular to the chain axis was found to be approximately 1.05 in contrast to the substantial macroscopic shape transformation intrinsic to electrospinning. When the tangential velocity of the rotating collector was greater than the flight velocity of the fibres (ca. 4 ms-1), a further extension of the polymer chains was observed with a ratio of the radii of gyration increasing to 1.20 at the highest collector speeds. It is proposed that the heterogeneous processes involved, particularly solvent evaporation and the formation of a polymer skin during electrospinning play a significant role in determining the level of molecular anisotropy in the fibres.

Puroindoline-a, a lipid binding protein from common wheat, spontaneously forms prolate protein micelles in solution

The self-assembly in solution of puroindoline-a (Pin-a), an amphiphilic lipid binding protein from common wheat, was investigated by small angle neutron scattering, dynamic light scattering and size exclusion chromatography. Pin-a was found to form monodisperse prolate ellipsoidal micelles with a major axial radius of 112 +/- 4.5 A ˚ and minor axial radius of 40.4 +/- 0.18 A ˚ . These protein micelles were formed by the spontaneous self-assembly of 38 Pin-a molecules in solution and were stable over a wide pH range (3.5–11) and at elevated temperatures (20–65 degC). Pin-a micelles could be disrupted upon addition of the non-ionic surfactant dodecyl-b-maltoside, suggesting that the protein self-assembly is driven by hydrophobic forces, consisting of intermolecular interactions between Trp residues located within a well-defined Trp-rich domain of Pin-a.

On the equivalence between radiance and retrieval assimilation

The need for consistent assimilation of satellite measurements for numerical weather prediction led operational meteorological centers to assimilate satellite radiances directly using variational data assimilation systems. More recently there has been a renewed interest in assimilating satellite retrievals (e.g., to avoid the use of relatively complicated radiative transfer models as observation operators for data assimilation). The aim of this paper is to provide a rigorous and comprehensive discussion of the conditions for the equivalence between radiance and retrieval assimilation. It is shown that two requirements need to be satisfied for the equivalence: (i) the radiance observation operator needs to be approximately linear in a region of the state space centered at the retrieval and with a radius of the order of the retrieval error; and (ii) any prior information used to constrain the retrieval should not underrepresent the variability of the state, so as to retain the information content of the measurements. Both these requirements can be tested in practice. When these requirements are met, retrievals can be transformed so as to represent only the portion of the state that is well constrained by the original radiance measurements and can be assimilated in a consistent and optimal way, by means of an appropriate observation operator and a unit matrix as error covariance. Finally, specific cases when retrieval assimilation can be more advantageous (e.g., when the estimate sought by the operational assimilation system depends on the first guess) are discussed.

Roman public libraries

This thesis aims to investigate the development and functions of public libraries in Rome and the Roman world. After a preface with maps of libraries in Rome, Section I discusses the precursors for public library provision in the private book collections of Republican Rome, and their transfer into the public domain with the first public libraries of Asinius Pollio and Augustus. Section II contains three 'case studies' of public libraries' different roles. The Augustan library programme is used in Ch.II.l to examine the role of imperial public libraries in literary life and the connections between Rome's libraries and those of Alexandria. Chapter II.2 concentrates on the libraries of Trajan's Forum to explore the intersection of imperial public libraries and monumental public architecture. This chapter responds to an important recent article by arguing for the continued identification of the Forum's libraries with twin brick buildings at its northern end, and suggests a series of correspondences between these libraries and its other monumental components. The conclusions of this chapter are important when considering the public libraries of the wider empire, several of which seem to have been inspired by the Trajanic libraries. Chapter II.3 considers imperial public libraries and leisure by looking at the evidence for libraries within bath-house complexes, concluding that their presence there is consistent with the archaeological and epigraphic evidence and fits in well with what we know of the intellectual and cultural life of these structures. Section III examines various aspects of the practical function of Roman public libraries: their contents (books and archives), division into Latin and Greek sections, provisions for shelving and cataloguing, staff, usership, architectural form, decoration, and housing of works of art. The picture that emerges is of carefully designed and functional buildings intended to sustain public, monumental, and practical functions. Section IV uses a variety of texts to examine the way in which libraries were viewed and used. Ch. IV. 1 discusses the evidence for use of libraries by scholars and authors such as Gellius, Galen, Josephus, and Apuleius. Ch. IV.2 examines parallels between library collections and compendious encyclopaedic elements within Roman literature and considers how library collections came to be canon-forming institutions and vehicles for the expression of imperial approval or disapproval towards authors. The channels through which this imperial influence flowed are investigated in Ch. IV.3, which looks at the directors and staff of the public libraries of Rome. The final section (V) of the thesis concerns public libraries outside the city of Rome. Provincial libraries provide a useful case study in 'Romanisation': they reveal a range of influences and are shown to embody local, personal, and metropolitan imperial identities. There follows a brief conclusion, and a bibliography. There are also five appendices of numismatic and epigraphic material discussed in the text. This material has not been adequately or completely gathered elsewhere and is intended to assist the reader; where appropriate it includes illustrations, transcriptions, and translations.

What next for children's services? Can policy at a local or national level have any significant impact on the outcomes for children and their families?

In England at both strategic and operational levels, policy-makers in the public sector have undertaken considerable work on implementing the findings of the Every Child Matters report and subsequently through the Children's Act 2004. Legislation has resulted in many local authorities seeking to implement more holistic approaches to the delivery of children's services. At a strategic level this is demonstrated by the creation of integrated directorate structures providing for a range of services, from education to children's social care. Such services were generally under the management of the Director of Children's Services, holding statutory responsibilities for the delivery of services formally divided into the three sectors of education, health and social services. At a national level, more fundamental policy developments have sought to establish a framework through which policy-makers can address the underlying causes of deprivation, vulnerability and inequality. The Child Poverty Act, 2010, which gained Royal Assent in 2010, provides for a clear intention to reduce the number of children in poverty, acknowledging that ‘the best way to eradicate child poverty is to address the causes of poverty, rather than only treat the symptoms’. However, whilst the policy objectives of both pieces of legislation hold positive aspirations for children and young people, a change of policy direction through a change of government in May 2010 seems to be in direct contrast to the intended focus of these aims. This paper explores the impact of new government policy on the future direction of children's services both at the national and local levels. At the national level, we question the ability of the government to deliver the aspirations of the Child Poverty Act, 2010, given the broad range of influences and factors that can determine the circumstances in which a child may experience poverty. We argue that poverty is not simply an issue of the pressure of financial deprivation, but that economic recession and cuts in government spending will further increase the number of children living in poverty.

The supernova remnant CTB 37B and its associated magnetar CXOU J171405.7-381031: evidence for a magnetar-driven remnant

We discuss the association between the candidate magnetar CXOU J171405.7-381031 and the supernova remnant CTB 37B. The recent detection of the period derivative of the object allowed an estimation of a young characteristic age of only similar to 1000 yr. This value is too small to be compatible even with the minimum radius of the remnant being >= 10 pc, the value corresponding to the lower limit of the estimated distance of 10.2 +/- 3.5 kpc, unless the true distance happens to be even smaller than the lower limit. We argue that a consistent scenario for the remnant`s origin, in which the latter is powered by the energy injected by a young magnetar, is indeed more accurate to explain the young age, and demonstrates its non-standard (i.e. magnetar-driven) nature.

The corotation gap in the Galactic H i distribution

We used the H i data from the LAB Survey to map the ring-shaped gap in H i density that lies slightly outside the solar circle. Adopting R(0) = 7.5 kpc, we find an average gap radius of 8.3 kpc and an average gap width of 0.8 kpc. The characteristics of the H i gap correspond closely to the expected ones, as predicted by theory and by numerical simulations of the gas flow near the corotation resonance.

Efficient bulk-loading on dynamic metric access methods

This paper presents a new technique and two algorithms to bulk-load data into multi-way dynamic metric access methods, based on the covering radius of representative elements employed to organize data in hierarchical data structures. The proposed algorithms are sample-based, and they always build a valid and height-balanced tree. We compare the proposed algorithm with existing ones, showing the behavior to bulk-load data into the Slim-tree metric access method. After having identified the worst case of our first algorithm, we describe adequate counteractions in an elegant way creating the second algorithm. Experiments performed to evaluate their performance show that our bulk-loading methods build trees faster than the sequential insertion method regarding construction time, and that it also significantly improves search performance. (C) 2009 Elsevier B.V. All rights reserved.

Tight-binding model for carbon nanotubes from ab initio calculations

Here we present a parametrized tight-binding (TB) model to calculate the band structure of single-wall carbon nanotubes (SWNTs). On the basis of ab initio calculations we fit the band structure of nanotubes of different radii with results obtained with an orthogonal TB model to third neighbors, which includes the effects of orbital hybridization by means of a reduced set of parameters. The functional form for the dependence of these parameters on the radius of the tubes can be used to interpolate appropriate TB parameters for different SWNTs and to study the effects of curvature on their electronic properties. Additionally, we have shown that the model gives an appropriate description of the optical spectra of SWNTs, which can be useful for a proper assignation of SWNTs` specific chirality from optical absorption experiments.

Surfactant-nanotube interactions in water and nanotube separation by diameter: atomistic simulations

A non-destructive sorting method to separate single-walled carbon nanotubes (SWNTs) by diameter was recently proposed. By this method, SWNTs are suspended in water by surfactant encapsulation and the separation is carried out by ultracentrifugation in a density gradient. SWNTs of different diameters are distributed according to their densities along the centrifuge tube. A mixture of two anionic surfactants, namely sodium dodecylsulfate (SDS) and sodium cholate (SC), presented the best performance in discriminating nanotubes by diameter. Unexpectedly, small diameter nanotubes are found at the low density part of the centrifuge tube. We present molecular dynamics studies of the water-surfactant-SWNT system to investigate the role of surfactants in the sorting process. We found that surfactants can actually be attracted towards the interior of the nanotube cage, depending on the relationship between the surfactant radius of gyration and the nanotube diameter. The dynamics at room temperature showed that, as the amphiphile moves to the hollow cage, water molecules are dragged together, thereby promoting the nanotube filling. The resulting densities of filled SWNT are in agreement with measured densities.

Two-dimensional electron states bound to an off-plane donor in a magnetic field

The states of an electron confined in a two-dimensional (2D) plane and bound to an off-plane donor impurity center, in the presence of a magnetic field, are investigated. The energy levels of the ground state and the first three excited states are calculated variationally. The binding energy and the mean orbital radius of these states are obtained as a function of the donor center position and the magnetic field strength. The limiting cases are discussed for an in-plane donor impurity (i.e. a 2D hydrogen atom) as well as for the donor center far away from the 2D plane in strong magnetic fields, which corresponds to a 2D harmonic oscillator.

Finite temperature correction to the Thomas-Fermi approximation for a Bose-Einstein condensate: comparison between theory and experiment

We observe experimentally a deviation of the radius of a Bose-Einstein condensate from the standard Thomas-Fermi prediction, after free expansion, as a function of temperature. A modified Hartree-Fock model is used to explain the observations, mainly based on the influence of the thermal cloud on the condensate cloud.