Applications of the generalized Langevin equation: Towards a realistic description of the baths

The generalized Langevin equation (GLE) method, as developed previously [L. Stella et al., Phys. Rev. B 89, 134303 (2014)], is used to calculate the dissipative dynamics of systems described at the atomic level. The GLE scheme goes beyond the commonly used bilinear coupling between the central system and the bath, and permits us to have a realistic description of both the dissipative central system and its surrounding bath. We show how to obtain the vibrational properties of a realistic bath and how to convey such properties into an extended Langevin dynamics by the use of the mapping of the bath vibrational properties onto a set of auxiliary variables. Our calculations for a model of a Lennard-Jones solid show that our GLE scheme provides a stable dynamics, with the dissipative/relaxation processes properly described. The total kinetic energy of the central system always thermalizes toward the expected bath temperature, with appropriate fluctuation around the mean value. More importantly, we obtain a velocity distribution for the individual atoms in the central system which follows the expected canonical distribution at the corresponding temperature. This confirms that both our GLE scheme and our mapping procedure onto an extended Langevin dynamics provide the correct thermostat. We also examined the velocity autocorrelation functions and compare our results with more conventional Langevin dynamics.

Preschool Children's Awareness of and Attitudes Toward Difference: A Study of 3- and 4-Year-Old Children in Northern Ireland

This paper presents the findings of a large-scale survey (n = 1,049) of the ethnic awareness and attitudes of 3-4 year old children in Northern Ireland. In drawing upon and applying Bourdieu’s notion of habitus, the paper demonstrates how even at this age, the children are already beginning to embody and internalize the cultural habits and dispositions of their respective ethnic groups. This was found in relation to the children’s: friendships choices; preferences for particular national flags; and dispositions towards specific sports associated with their respective communities. Informed by the work of Bourdieu, the paper concludes by arguing for the need for greater use of quantitative methods employing multivariate and multilevel statistical analyses and for these to be based on a more open and meaningful engagement with the findings of indepth qualitative and ethnographic research in this area.

Modeling relativistic soliton interactions in overdense plasmas: A perturbed nonlinear Schrodinger equation framework

We investigate the dynamics of localized solutions of the relativistic cold-fluid plasma model in the small but finite amplitude limit, for slightly overcritical plasma density. Adopting a multiple scale analysis, we derive a perturbed nonlinear Schrodinger equation that describes the evolution of the envelope of circularly polarized electromagnetic field. Retaining terms up to fifth order in the small perturbation parameter, we derive a self-consistent framework for the description of the plasma response in the presence of localized electromagnetic field. The formalism is applied to standing electromagnetic soliton interactions and the results are validated by simulations of the full cold-fluid model. To lowest order, a cubic nonlinear Schrodinger equation with a focusing nonlinearity is recovered. Classical quasiparticle theory is used to obtain analytical estimates for the collision time and minimum distance of approach between solitons. For larger soliton amplitudes the inclusion of the fifth-order terms is essential for a qualitatively correct description of soliton interactions. The defocusing quintic nonlinearity leads to inelastic soliton collisions, while bound states of solitons do not persist under perturbations in the initial phase or amplitude

GPU Acceleration of Partial Differential Equation Solvers

Differential equations are often directly solvable by analytical means only in their one dimensional version. Partial differential equations are generally not solvable by analytical means in two and three dimensions, with the exception of few special cases. In all other cases, numerical approximation methods need to be utilized. One of the most popular methods is the finite element method. The main areas of focus, here, are the Poisson heat equation and the plate bending equation. The purpose of this paper is to provide a quick walkthrough of the various approaches that the authors followed in pursuit of creating optimal solvers, accelerated with the use of graphical processing units, and comparing them in terms of accuracy and time efficiency with existing or self-made non-accelerated solvers.

Aesthetic Perceptions - Is There a Difference?

Introduction: In recent times, the demand for aesthetic dentistry has increased, with patients presenting for treatment expecting an improvement in their aesthetics. Therefore, it is increasingly important for the dental profession to appreciate perceptions of dental aesthetics in order to provide a patient-centred service.

Objectives: The aim of this study is to quantify perceptions of aesthetics using a cross-sectional survey design. The hypotheses being tested were that differences exist in aesthetic perceptions of 1) dentists and dental students, 2) different age ranges and 3) gender.

Methods: A questionnaire was distributed to dental staff and students in the Cork University Dental School and Hospital. The questionnaire sought information relating to aesthetic perceptions by asking participants to compare photographs of smiles.

Results: 100 questionnaires were returned. It was found that differences existed in perceptions of dentists and dental students when certain aspects of a smile were evaluated, in particular when a minor flaw was present in a smile in addition to the major flaw being tested. Assuming that flaws were detected, more dental students (34%) than dentists (26%) were found to prioritise colour above more subtle flaws, such as a centreline shift. However, most results between the two groups are comparable in terms of their prioritising of importance of particular aspects of a smile, with no large significant differences.

Conclusion: Differences exist in aesthetic perceptions of dentists and dental students, especially with regard to tooth colour.

Machine learning for transient discovery in Pan-STARRS1 difference imaging

Efficient identification and follow-up of astronomical transients is hindered by the need for humans to manually select promising candidates from data streams that contain many false positives. These artefacts arise in the difference images that are produced by most major ground-based time-domain surveys with large format CCD cameras. This dependence on humans to reject bogus detections is unsustainable for next generation all-sky surveys and significant effort is now being invested to solve the problem computationally. In this paper, we explore a simple machine learning approach to real-bogus classification by constructing a training set from the image data of similar to 32 000 real astrophysical transients and bogus detections from the Pan-STARRS1 Medium Deep Survey. We derive our feature representation from the pixel intensity values of a 20 x 20 pixel stamp around the centre of the candidates. This differs from previous work in that it works directly on the pixels rather than catalogued domain knowledge for feature design or selection. Three machine learning algorithms are trained (artificial neural networks, support vector machines and random forests) and their performances are tested on a held-out subset of 25 per cent of the training data. We find the best results from the random forest classifier and demonstrate that by accepting a false positive rate of 1 per cent, the classifier initially suggests a missed detection rate of around 10 per cent. However, we also find that a combination of bright star variability, nuclear transients and uncertainty in human labelling means that our best estimate of the missed detection rate is approximately 6 per cent.

Conical Horn Antenna with Spiral Phase Plate for Difference Pattern Generation

This paper describes the performance characteristics and experimental validation of a compact conical horn antenna with a dielectric cylinder spiral phase plate attached at its aperture. This performs the function of a spatial phase imprinting device creating a helical wave-front which results in a null in the far field radiation pattern of the antenna assembly.

Joining together or pushing apart? Building relations and exploring difference through shared education in Northern Ireland

In divided societies, the promotion of cross-cultural contact through the education system has been central to efforts to improve intergroup relations. This approach is informed by an understanding of the contact hypothesis, which suggests that positive contact with a member of a different group should contribute to improvements in attitudes towards the group as a whole. While a substantial body of research provides support for contact theory, critics have argued that its emphasis on harmonious encounters can result in the neglect of group differences and associated issues of conflict and discrimination during contact. The research discussed in this article explores this tension with reference to two shared education projects in Northern Ireland. Research data, gathered primarily through interviews with pupils, confirms that divisive issues are rarely addressed during contact and explores several influences on this: the nature of pupils’ relationships, the programme structure, and the prevailing social norms of avoidance.