Strong-coupling expansion for the momentum distribution of the Bose-Hubbard model with benchmarking against exact numerical results

A strong-coupling expansion for the Green's functions, self-energies, and correlation functions of the Bose-Hubbard model is developed. We illustrate the general formalism, which includes all possible (normal-phase) inhomogeneous effects in the formalism, such as disorder or a trap potential, as well as effects of thermal excitations. The expansion is then employed to calculate the momentum distribution of the bosons in the Mott phase for an infinite homogeneous periodic system at zero temperature through third order in the hopping. By using scaling theory for the critical behavior at zero momentum and at the critical value of the hopping for the Mott insulator–to–superfluid transition along with a generalization of the random-phase-approximation-like form for the momentum distribution, we are able to extrapolate the series to infinite order and produce very accurate quantitative results for the momentum distribution in a simple functional form for one, two, and three dimensions. The accuracy is better in higher dimensions and is on the order of a few percent relative error everywhere except close to the critical value of the hopping divided by the on-site repulsion. In addition, we find simple phenomenological expressions for the Mott-phase lobes in two and three dimensions which are much more accurate than the truncated strong-coupling expansions and any other analytic approximation we are aware of. The strong-coupling expansions and scaling-theory results are benchmarked against numerically exact quantum Monte Carlo simulations in two and three dimensions and against density-matrix renormalization-group calculations in one dimension. These analytic expressions will be useful for quick comparison of experimental results to theory and in many cases can bypass the need for expensive numerical simulations.

On the order of the fractional Laplacian in determining the spatio-temporal evolution of a space-fractional model of cardiac electrophysiology

Space-fractional operators have been used with success in a variety of practical applications to describe transport processes in media characterised by spatial connectivity properties and high structural heterogeneity altering the classical laws of diffusion. This study provides a systematic investigation of the spatio-temporal effects of a space-fractional model in cardiac electrophysiology. We consider a simplified model of electrical pulse propagation through cardiac tissue, namely the monodomain formulation of the Beeler-Reuter cell model on insulated tissue fibres, and obtain a space-fractional modification of the model by using the spectral definition of the one-dimensional continuous fractional Laplacian. The spectral decomposition of the fractional operator allows us to develop an efficient numerical method for the space-fractional problem. Particular attention is paid to the role played by the fractional operator in determining the solution behaviour and to the identification of crucial differences between the non-fractional and the fractional cases. We find a positive linear dependence of the depolarization peak height and a power law decay of notch and dome peak amplitudes for decreasing orders of the fractional operator. Furthermore, we establish a quadratic relationship in conduction velocity, and quantify the increasingly wider action potential foot and more pronounced dispersion of action potential duration, as the fractional order is decreased. A discussion of the physiological interpretation of the presented findings is made.

Unsteady compressible second-order boundary layers at the stagnation point of two-dimensional and axisymmetric bodies

The unsteady laminar compressible boundary-layer flow over two-dimensional and axisymmetric bodies at the stagnation point with mass transfer has been studied for all second-order boundary layer effects when the basic potential flow admits selfsimilarity. The solutions for the governing equations are obtained by using an implicit finite-difference scheme. Computations have been carried out for different values of the parameters characterizing the unsteadiness in the free stream velocity, wall temperature, mass transfer rate and variable gas properties. The results are found to be strongly affected by the unsteadiness in the free stream velocity. For large injection rates the second-orderboundary layer effects may prevail over the first-order boundary layer, but reverse is true for suction. The wall temperature and the variation of the density-viscosity product across the boundary layer appreciably change the skin-friction and heat-transfer rates due to second-order boundary-layer effects.

Vineland Adaptive Behavior Scales - II profile of young children with Autism Spectrum Disorder

Adaptive behaviour is a crucial area of assessment for individuals with Autism Spectrum Disorder (ASD). This study examined the adaptive behaviour profile of 77 young children with ASD using the Vineland-II, and analysed factors associated with adaptive functioning. Consistent with previous research with the original Vineland a distinct autism profile of Vineland-II age equivalent scores, but not standard scores, was found. Highest scores were in motor skills and lowest scores were in socialisation. The addition of the Autism Diagnostic Observation Schedule (ADOS) calibrated severity score did not contribute significant variance to Vineland-II scores beyond that accounted for by age and nonverbal ability. Limitations, future directions, and implications are discussed.

A Magnetic Susceptibility Study of Spin-state Transitions in Rare-earth TrioxocobaItates( III)

Rare-earth trioxocobaltates(lll), Ln[CoO,], with Ln = Pr, Nd, Tb, Dy. and Yb exhibit low-spin to high-spin transitions of cobalt characterised by a maximum in the Ax-l against temperature plots where Ax is the cobalt contribution to the magnetic susceptibility. The susceptibility behaviour is distinct from that of La[CoO,] which shows a plateau in the x-I-T curve accompanied by a structural transition. The temperature at which the AX- I-T curve shows a maximum increases with the decrease in the size of the rare-earth ion. The susceptibility behavior of solid solutions of La,,Nd,CoO, has been investigated to see how the behaviour characteristic of Nd[CoO,] changes to that of La[CoO,].

Post-school needs of young people with high-functioning Autism Spectrum Disorder

This study describes the post-school circumstances and service needs of older teenagers and adults with high-functioning Autism Spectrum Disorder, living in Queensland, Australia. The respondents were 95 parents. Results indicated that the majority of the young people lived in the family home and were unemployed. Of those who worked, 56% had unskilled jobs. They were estimated to spend a significant proportion of their time engaged in solitary, technology-based activities, and comparatively little time in employment or socialising. Parents rated employment support as the greatest service priority for their sons and daughters, followed by specialised support to assist with completing post-school education and training, assistance to support the transition from high school to adulthood, and social skills training.

Self-rating scales in the assessment of current and childhood symptoms of attention deficit hyperactivity disorder in adults

Objective: Attention deficit hyperactivity disorder (ADHD) is a life-long condition, but because of its historical status as a self-remitting disorder of childhood, empirically validated and reliable methods for the assessment of adults are scarce. In this study, the validity and reliability of the Wender Utah Rating Scale (WURS) and the Adult Problem Questionnaire (APQ), which survey childhood and current symptoms of ADHD, respectively, were studied in a Finnish sample. Methods: The self-rating scales were administered to adults with an ADHD diagnosis (n = 38), healthy control participants (n = 41), and adults diagnosed with dyslexia (n = 37). Items of the self-rating scales were subjected to factor analyses, after which the reliability and discriminatory power of the subscales, derived from the factors, were examined. The effects of group and gender on the subscales of both rating scales were studied. Additionally, the effect of age on the subscales of the WURS was investigated. Finally, the diagnostic accuracy of the total scores was studied. Results: On the basis of the factor analyses, a four-factor structure for the WURS and five-factor structure for the APQ had the best fit to the data. All of the subscales of the APQ and three of the WURS achieved sufficient reliability. The ADHD group had the highest scores on all of the subscales of the APQ, whereas two of the subscales of the WURS did not statistically differ between the ADHD and the Dyslexia group. None of the subscales of the WURS or the APQ was associated with the participant's gender. However, one subscale of the WURS describing dysthymia was positively correlated with the participant's age. With the WURS, the probability of a correct positive classification was .59 in the current sample and .21 when the relatively low prevalence of adult ADHD was taken into account. The probabilities of correct positive classifications with the APQ were .71 and .23, respectively. Conclusions: The WURS and the APQ can provide accurate and reliable information of childhood and adult ADHD symptoms, given some important constraints. Classifications made on the basis of the total scores are reliable predictors of ADHD diagnosis only in populations with a high proportion of ADHD and a low proportion of other similar disorders. The subscale scores can provide detailed information of an individual's symptoms if the characteristics and limitations of each domain are taken into account. Improvements are suggested for two subscales of the WURS.

U.S. Asylum Policy and the New World Order

"In the new world order, differences in political ideology have given way to differences in economic conditions between nation states as the prompting force for the outflow of would-be refugees and asylum seekers. In part, these pressures are associated with the political disintegration of the poorer republics of the former Soviet Union and its former satellite nations into ethnic enclaves. But the most endemic of the new contributory pressures are emanating from North-South economic differences between the "have" and "have-not" nations."

Design of high-order filters with restricted component values

The feasibility of realising a high-order LC filter with a small set of different capacitor values, without sacrificing the frequency response specifications, is indicated. This idea could be conveniently adopted in other filter structures also—for example the FDNR transformed filter realisations.

Erityistä tukea tarvitsevien lasten polut esiopetuksesta alkuopetukseen : tukitoimet ja suoriutuminen

The purpose of this follow-up study is to analyse stages of learning and teaching of children with special needs in pre-school and the first two grades of elementary school. The target group included 270 children with special needs. The three year follow-up period for each child began during the pre-school year, and continued until the spring of the second grade in elementary school. Various diagnoses were detected among children in the study group. The disorders were categorised in six classes: the developmentally delayed, children with language development disorder, children with emotional and behavioural disorders, children with attention deficit, children with other non-cognitive disorders and children with extensive developmental disorders. The study's starting point was the situation in pre-school: how the children were placed in pre-school, and what kinds of support they were offered? The purpose of the study was to describe how children with special needs move from different types of groups in pre-school to the different types of classes in the first two grades of elementary school. I also examined how well the children with special needs succeeded in the first two grades of elementary school. An additional purpose was to find out what connections there may be between the paths taken by children with special needs when they move from pre-school to elementary school, the types of support they get, and how they succeed academically in elementary school. The data were gathered mainly by means of questionnaires. In addition the children were studied by means of tests designed to estimate their academic skills at the end of the second grade. In analysing the data I used both quantitative and qualitative methods. Six paths were identified among the children in the study group, based on whether a child was in a group or a class given special teaching or in an ordinary group or class during pre-school and the first two grades of elementary school. In this study, about 53% of the children with special needs moved from pre-school to a regular class in elementary school, and about 47% of the children received special education in elementary school. Among the ordinary groups (n = 69) in pre-school the majority of children (73 %) moved to a regular class in elementary school. Among the children receiving special education (n = 201) in pre-school, 46% moved to a regular class in elementary school. That path turned out to be the one followed by the greatest number of children. Only rarely did children move from an ordinary group in pre-school to a special education class in elementary school. Examination of the results according to the children's transition paths also links together with the viewpoint of integration and segregation. This study indicates that in pre-school special education groups, a significantly greater number of methods supporting children's development were used than in the conventional education groups. The difference was at its greatest inconnection with the use of so-called special rehabilitation methods. A quite wide range of variation was observed in how the children succeeded in elementary school. Success in the tests designed to estimate the children's academic skills was poor for 31% of the children (n = 230) in the first grade study group. For 69 % of the children, however, success in the tests was at least satisfactory. In the second grade study group 34 % of the children (N = 216) got through all the three tests estimating academic skills acceptably. According to this study, a number of children with special needs require special support throughout pre-school and the first two grades of elementary school. The results show that if the children received special support during the pre-school year, a number were able to participate in regular education in elementary school. Keywords: a child with special needs, measures of support, transitions, achievements in school

Reduced attrition of accelerated nursing students from pharmacology – is it associated with graduation?

In order to reduce the attrition of accelerated nursing students in bioscience/pharmacology, we introduced an innovation to help these students. Although this innovation was associated with reduced attritions from the units in their first year at university, we now show that there was a reduced graduation rate of the accelerated students who survived pharmacology, compared to the traditional students.

Unsteady laminar compressible stagnation-point boundary-layer flow over a three-dimensional body: Higher order effects

The unsteady laminar compressible three-dimensional stagnation-point boundary-layer flow with variable properties has been studied when the velocity of the incident stream, mass transfer and wall temperature vary arbitrarily with time. The second-order unsteady boundary-layer equations for all the effects have been derived by using the method of matched asymptotic expansions. Both nodal and saddle point flows as well as cold and hot wall cases have been considered. The partial differential equations governing the flow have been solved numerically using an implicit finite-difference scheme. Computations have been carried out for an accelerating stream, a decelerating stream and a fluctuating stream. The results indicate that the unsteady free stream velocity distributions, the nature of the stagnation point, the mass transfer, the wall temperature and the variation of the density-viscosity product across the boundary significantly affect the skin friction and heat transfer. The variation of the wall temperature with time strongly affects the heat transfer whereas its effect is comparatively less on skin friction. Suction increases the skin friction and heat transfer but injection does the opposite. The skin friction in the x direction due to the combined effects of first- and second-order boundary layers is less than the skin-friction in the x direction due to the first-order boundary layers for all the parameters. The overall skin friction in the z direction and heat transfer are more or less than the first-order boundary layers depending upon the values of the various parameters.

Transitions to K–12 Education Systems: Experiences from Five Case Countries

Currently more than 140 countries offer, or are in transition to, what has become the international norm for pre-tertiary education, namely a kindergarten through grade 12 (K–12) school education system—kindergarten because of the preponderance of research asserting the long-term learning and social benefits of school readiness programs; and 12 years of primary and secondary schooling due to the time needed to acquire the knowledge and skills sets necessary for 21st century university education, postsecondary training, or decent1 work. This desk study2 conveys the experiences of four countries and one province in preparing and implementing a transition to a K–12 school education system: Mongolia, Ontario (Canada), the Philippines, Poland, and Turkey. Looking at K–12 transition in countries and systems that vary as broadly as this set enables common threads to stand out and divergent options to be noted.

Interatomic Auger transitions in transition-metal oxides

Interatomic L3(M)M23(M)V(O) and L3(M)V(O)V(O) Auger transitions of some transition-metal oxides are reported for the first time. The interatomic mode of decay becomes progressively more dominant (relative to the intra-atomic mode) as the metal d level gets depleted or as the oxidation state of the metal increases. The usefulness of interatomic Auger transitions in studying oxidation of metals has been examined.