Existence and stability of multisite breathers in honeycomb and hexagonal lattices

We study the existence and stability of multisite discrete breathers in two prototypical non-square Klein-Gordon lattices, namely a honeycomb and a hexagonal one. In the honeycomb case we consider six-site configurations and find that for soft potential and positive coupling the out-of-phase breather configuration and the charge-two vortex breather are linearly stable, while the in-phase and charge-one vortex states are unstable. In the hexagonal lattice, we first consider three-site configurations. In the case of soft potential and positive coupling, the in-phase configuration is unstable and the charge-one vortex is linearly stable. The out-of-phase configuration here is found to always be linearly unstable. We then turn to six-site configurations in the hexagonal lattice. The stability results in this case are the same as in the six-site configurations in the honeycomb lattice. For all configurations in both lattices, the stability results are reversed in the setting of either hard potential or negative coupling. The study is complemented by numerical simulations which are in very good agreement with the theoretical predictions. Since neither the form of the on-site potential nor the sign of the coupling parameter involved have been prescribed, this description can accommodate inverse-dispersive systems (e. g. supporting backward waves) such as transverse dust-lattice oscillations in dusty plasma (Debye) crystals or analogous modes in molecular chains.

Histopathologists’ approach to keratoacanthoma: a multisite survey of regional variation in Great Britain and Ireland

Introduction: This survey examines regional variation in the diagnosis of keratoacanthoma (KA).

Methods: Twenty-three departments from Great Britain and Ireland were invited. The number of cases coded as KA or cutaneous SCC in the previous 12 months was retrieved. An SCC: KA ratio was calculated. Participants also provided free text responses.

Results: Seventeen departments replied. A total of 11 718 cases were included with a breakdown of 998 KA and 10 720 SCC. The mean SCC:KA ratio was 10.7:1, range (2.5:1 to 139:1). Free text responses are presented.

Discussions: An extreme variation in approach is highlighted by this survey. We believe a multidisciplinary team approach to the diagnosis of KA is essential. There seems to be a need for a carefully considered clinicopathological study, backed up by molecular studies, to better understand the natural biology of this diagnosis.

New dates for first millennium BC tephra isochrones in Ireland

Three distinct, first millennium BC tephras (BMR-190, OMH-185, GB4-150) have been recognized in Irish peat deposits, including a previously undated ash (BMR-190). We present the results of a programme of high-precision 14C wiggle-matching on a peat profile containing all three tephras from Glen West, County Fermanagh, Northern Ireland. The wiggle-match provides highly refined dates of 705-585cal. BC for BMR-190, 755-680cal. BC for OMH-185 and 800-758cal. BC for GB4-150. The tephras constitute valuable, widespread isochrones for palaeoecological research across the first millennium BC, when a prolonged 14C calibration plateau between 750 and 400 cal. BC presents a major problem to dating and correlating palaeoenvironmental events from multisite, multiproxy studies of the period.

Testing the timing of radiocarbon-dated events between proxy archives

For interpreting past changes on a regional or global scale, the timings of proxy-inferred events are usually aligned with data from other locations. However, too often chronological uncertainties are ignored in proxy diagrams and multisite comparisons, making it possible for researchers to fall into the trap of sucking separate events into one illusionary event (or vice versa). Here we largely solve this "suck in and smear syndrome" for radiocarbon (14C) dated sequences. In a Bayesian framework, millions of plausible age-models are constructed to quantify the chronological uncertainties within and between proxy archives. We test the technique on replicated high-resolution 14C-dated peat cores deposited during the "Little Ice Age" (c. AD 1400-1900), a period characterized by abrupt climate changes and severe 14C calibration problems. Owing to internal variability in proxy data and uncertainties in age-models, these (and possibly many more) archives are not consistent in recording decadal climate change. Through explicit statistical tests of palaeoenvironmental hypotheses, we can move forward to systematic interpretations of proxy data. However, chronological uncertainties of non-annually resolved palaeoclimate records are too large for answering decadal timescale questions.

Existence of multibreathers in one-dimensional Debye crystals

The existence of highly localized multisite oscillatory structures (discrete multibreathers) in a nonlinear Klein-Gordon chain which is characterized by an inverse dispersion law is proven and their linear stability is investigated. The results are applied in the description of vertical (transverse, off-plane) dust grain motion in dusty plasma crystals, by taking into account the lattice discreteness and the sheath electric and/or magnetic field nonlinearity. Explicit values from experimental plasma discharge experiments are considered. The possibility for the occurrence of multibreathers associated with vertical charged dust grain motion in strongly coupled dusty plasmas (dust crystals) is thus established. From a fundamental point of view, this study aims at providing a rigorous investigation of the existence of intrinsic localized modes in Debye crystals and/or dusty plasma crystals and, in fact, suggesting those lattices as model systems for the study of fundamental crystal properties.

Discrete breathers in hexagonal dusty plasma lattices

The occurrence of single-site or multisite localized vibrational modes, also called discrete breathers, in two-dimensional hexagonal dusty plasma lattices is investigated. The system is described by a Klein-Gordon hexagonal lattice characterized by a negative coupling parameter epsilon in account of its inverse dispersive behavior. A theoretical analysis is performed in order to establish the possibility of existence of single as well as three-site discrete breathers in such systems. The study is complemented by a numerical investigation based on experimentally provided potential forms. This investigation shows that a dusty plasma lattice can support single-site discrete breathers, while three-site in phase breathers could exist if specific conditions, about the intergrain interaction strength, would hold. On the other hand, out of phase and vortex three-site breathers cannot be supported since they are highly unstable.

Adsorption and photocatalytic bleaching of acid orange 7 on P25 titania

The observed adsorption of acid orange 7, AO7(-), on P25 titania over a range of pH values (pH 2-8) gives a good fit to data generated using a charge distribution, multisite complexation, i.e. CD-MUSIC, model, modified for aggregated dye adsorption. For this system the model predicts that both the apparent dark Langmuir adsorption constant. K-L, and the number of adsorption sites, n(o), increase with decreasing pH, and are negligible above pH 6. At pH 2 the CD-MUSIC model predicts the fraction of singly co-ordinated sites occupied by the dye,f(AO7), is ca. 32% under the in situ monitoring experimental conditions used in this work to study the photocatalytic bleaching of AO7(-) under UV light illumination ([TiO2] = 20 mgdm(-3); [AO7(-)](total) = 4.86 x 10(-5) M). Although AO7(-) adsorption on P25 titania is insignificant above pH 6 and increases almost linearly and markedly below this pH, the measured initial rate of bleaching of AO7(-), photocatalysed by titania using UV appears to only increase modestly (

Improving multi-site benefit functions via Bayesian model averaging: A new approach to benefit transfer

A benefit function transfer obtains estimates of willingness-to-pay (WTP) for the evaluation of a given policy at a site by combining existing information from different study sites. This has the advantage that more efficient estimates are obtained, but it relies on the assumption that the heterogeneity between sites is appropriately captured in the benefit transfer model. A more expensive alternative to estimate WTP is to analyze only data from the policy site in question while ignoring information from other sites. We make use of the fact that these two choices can be viewed as a model selection problem and extend the set of models to allow for the hypothesis that the benefit function is only applicable to a subset of sites. We show how Bayesian model averaging (BMA) techniques can be used to optimally combine information from all models. The Bayesian algorithm searches for the set of sites that can form the basis for estimating a benefit function and reveals whether such information can be transferred to new sites for which only a small data set is available. We illustrate the method with a sample of 42 forests from U.K. and Ireland. We find that BMA benefit function transfer produces reliable estimates and can increase about 8 times the information content of a small sample when the forest is 'poolable'. © 2008 Elsevier Inc. All rights reserved.

Organization specific predictors of job satisfaction: findings from a Canadian multi-site quality of work life cross-sectional survey

Background: Organizational features can affect how staff view their quality of work life. Determining staff perceptions about quality of work life is an important consideration for employers interested in improving employee job satisfaction. The purpose of this study was to identify organization specific predictors of job satisfaction within a health care system that consisted of six independent health care organizations.

Methods: 5,486 full, part and causal time (non-physician) staff on active payroll within six organizations (2 community hospitals, 1 community hospital/long-term care facility, 1 long-term care facility, 1 tertiary care/community health centre, and 1 visiting nursing agency) located in five communities in Central West Ontario, Canada were asked to complete a 65-item quality of work life survey. The self-administered questionnaires collected staff perceptions of: co-worker and supervisor support; teamwork and communication; job demands and decision authority; organization characteristics; patient/resident care; compensation and benefits; staff training and development; and impressions of the organization. Socio-demographic data were also collected.

Results: Depending on the organization, between 15 and 30 (of the 40 potential predictor) variables were found to be statistically associated with job satisfaction (univariate analyses). Logistic regression analyses identified the best predictors of job satisfaction and these are presented for each of the six organizations and for all organizations combined.

Conclusions: The findings indicate that job satisfaction is a multidimensional construct and although there appear to be some commonalities across organizations, some predictors of job satisfaction appear to be organization and context specific.

Dynamics of interacting Dicke model in a coupled-cavity array

We consider the dynamics of an array of mutually interacting cavities, each containing an ensemble of N two-level atoms. By exploring the possibilities offered by ensembles of various dimensions and a range of atom-light and photon-hopping values, we investigate the generation of multisite entanglement, as well as the performance of excitation transfer across the array, resulting from the competition between on-site nonlinearities of the matter-light interaction and intersite photon hopping. In particular, for a three-cavity interacting system it is observed that the initial excitation in the first cavity completely transfers to the ensemble in the third cavity through the hopping of photons between the adjacent cavities. Probabilities of the transfer of excitation of the cavity modes and ensembles exhibit characteristics of fast and slow oscillations governed by coupling and hopping parameters, respectively. In the large-hopping case, by seeding an initial excitation in the cavity at the center of the array, a tripartite W state, as well as a bipartite maximally entangled state, is obtained, depending on the interaction time. Population of the ensemble in a cavity has a positive impact on the rate of excitation transfer between the ensembles and their local cavity modes. In particular, for ensembles of five to seven atoms, tripartite W states can be produced even when the hopping rate is comparable to the cavity-atom coupling rate. A similar behavior of the transfer of excitation is observed for a four-coupled-cavity system with two initial excitations.

UK medical graduates’ preparedness for practice (P4P): A multi-site qualitative study

Introduction Previous research has demonstrated mixed findings in terms of graduates’ P4P in terms of their knowledge and skills, and interpersonal, systemic and technological aspects (Monrouxe et al. 2014). Few studies have included diverse stakeholders from multiple sites and employing longitudinal methods. We therefore aimed to understand the extent to which UK medical graduates are prepared for practice as Foundation doctors. Methods Cross-sectional qualitative narrative interview and longitudinal audio-diary (LAD) studies with participants from England, Scotland, Wales and Northern Ireland. Study 1 comprised 27 group and 84 individual interviews (n=185) with participants representing different stakeholders (F1s, fully registered trainees, clinical educators, undergraduate/postgraduate deans/foundation programme directors, other healthcare professionals, employers, policy makers, government representatives, and patient/public representatives). Study 2 comprised LADs with 26 F1s over 4-months. Results Participants found it hard initially to conceptualise the term ‘preparedness for practice’. We identified 2187 personal incident narratives (i.e. stories of P4P experiences) across our data: 506 (23%) were classed as ‘prepared’, 730 (33%) as ‘unprepared’ and 951 (44%) as ‘unspecified’. We identified factors that facilitated (e.g. supportive supervisors/colleagues, opportunities for shadowing) and hindered (e.g. unsupportive or disrespectful colleagues, poor organization, understaffing) transitions into and through the Foundation programme. The LADs suggested that trainees felt more confident and competent over time, but that such development was not always linear as challenging circumstances (e.g. new rotations) sometimes made trainees feel unprepared for situations where they had previously indicated preparedness. Conclusion Our findings add to the existing evidence on medical graduates’ P4P in the UK (e.g. Goldacre et al. 2008; Illing et al. 2013). Our findings support the role of assistantships and supportive supervisors for smoothing transitions from student to F1. Further longitudinal and action research studies are now needed to follow students through their final-year assistantships and into their F2 year.