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.

Co-existence of a pair of pelagic planktivorous coregonid fishes

Hypothesis: Ecological specialization facilitates co-existence of Coregonus spp. in Lake Stechlin. A difference in trophic ecology is the dominant means by which the species are ecologically segregated.

BELFAST centenarians: A Case of Optimal Cardiovascular Risk?

Introduction: Centenarians are reservoirs of genetic and environmental information to successful ageing and local centenarian groups may help us to understand some of the factors that contribute to longevity. The current centenarian cohort in Belfast survived the 1970s epidemic of death from coronary heart disease in Northern Ireland, where cardiovascular mortality was almost highest in the world. These centenarians provided an opportunity to assess biological and genetic factors important in cardiovascular risk and ageing. Methods: Thirty-five (27 female, 8 male) centenarians, participants of the Belfast Elderly Longitudinal Free-living Ageing STudy (BELFAST), were community-living and of good cognition at enrolment. Results: Centenarians showed median Body Mass Index (BMI) at 25.7, systolic blood pressure 140mmHg and diastolic blood pressure 90mmHg, and fasting glucose of 5.54 mmol/l with no sex-related difference. Lipoproteins showed median cholesterol 5.3, High Density Lipoprotein (HDL) 1.10 and Low Density Lipoprotein (LDL) 3.47umol/l respectively. Centenarian smokers showed no different blood pressure or lipid measurements compared with non-smokers. Malondialdehyde, a measure of lipid peroxidation, was low at 1.19 umol/l, and measures of antioxidant status were varied. Male centenarians did not carry any of the vascular risk genotypes studied-ApoE4 for Apolipoprotein E (ApoE), DD for Angiotensinogen Converting Enzyme (ACE) and tt for 5,10-methylenetetrahydrofolate reductase (MTFHR), though this was not true for female centenarians.. Conclusions: This small local study shows that Belfast centenarians carry a reasonably favourable risk profile, except for age, with respect to cardiovascular disease. There is also some evidence that vascular risk factors and genotypes may be tolerated differently between the male and female centenarians. Maintaining a favourable cardiovascular risk profile seems likely to improve the chance of becoming a centenarian, especially for males.

Tight constraints on the existence of additional planets around HD 189733†

We report a transit timing study of the transiting exoplanetary system HD 189733. In total, we observed 10 transits in 2006 and 2008 with the 2.6-m Nordic Optical Telescope, and two transits in 2007 with the 4.2-m William Herschel Telescope. We used Markov Chain Monte Carlo simulations to derive the system parameters and their uncertainties, and our results are in a good agreement with previously published values. We performed two independent analyses of transit timing residuals to place upper mass limits on putative perturbing planets. The results show no evidence for the presence of planets down to 1 Earth mass near the 1:2 and 2:1 resonance orbits, and planets down to 2.2 Earth masses near the 3:5 and 5:3 resonance orbits with HD 189733b. These are the strongest limits to date on the presence of other planets in this system. Based on observations made with the Nordic Optical Telescope, operated on the island of La Palma jointly by Denmark, Finland, Iceland, Norway and Sweden, in the Spanish Observatorio del Roque de los Muchachos of the Instituto de Astrofísica de Canarias. Based on observations made with the William Herschel Telescope operated on the island of La Palma by the Isaac Newton Group in the Spanish Observatorio del Roque de los Muchachos of the Instituto de Astrofísica de Canarias. ‡

Confirming the Existence of Gaps and Depletions in the Irish Oak Tree-Ring Record

In the course of building the 7000 year Belfast long oak chronology a series of depletion problems were encountered. These problems were overcome by 1984 when the completion of the long chronology was announced. The solution to the bridging of the various ‘gaps’ in the Irish chronology lay in the use of long sections of oak chronology from Britain. Now that a quarter of a century has elapsed and large numbers of additional oak samples, and site assemblages, have been accumulated it seems reasonable to review the ‘gaps’ in order to see if the Irish chronology could now be constructed without the use of British material. That is, are the depletion periods in the Irish chronology still evident, and if so, what might they imply about past conditions and human populations? The perhaps surprising conclusion is that the original depletions are still evident after 25 years of quasi-random sampling by archaeologists and palaeoecologists throughout Ireland.

A short proof of existence of disjoint hypercyclic operators

We give a short proof of existence of disjoint hypercyclic tuples of operators of any given length on any separable infinite dimensional Fr\'echet space. Similar argument provides disjoint dual hypercyclic tuples of operators of any length on any infinite dimensional Banach space with separable dual.

Numerical Investigation of Optimal Pin Actuator Location on a Supersonic Projectile

The flowfield around a supersonic projectile using a pin actuator control method has been predicted using computational fluid dynamics. It has been predicted using both viscous and inviscid methods for a number of positions. Both methods showed that an optimal longitudinal position exists. However, the inviscid model over-predicted the lateral acceleration due to the difference in shock formation around the pin between the two approaches. The optimal location was predicted independent of solver, however the higher-fidelity solver predicted lower achievable lateral accelerations. This is due to the viscous interactions caused by the pin. The effect of projectile orientation has shown that shielding the pin leads to reduced effectiveness due to the wake of the fin enveloping the pin. When the pin is exposed to onset flow, the forces achieved are increased. There is also an increase in the achievable forces and moments with increasing Mach number.

The Existence of the Past

My goal in this paper is to address what I call the ‘Incoherence’ objection to the growing universe theory of time. At the root of the objection is the thought that one cannot wed objective temporal becoming with the existence of a tenseless past—which is apparently what the growing universe theorist tries to do. To do so, however, is to attribute both dynamic and static aspects to time, and, given the mutual exclusivity of these two aspects—so the thought goes—incoherence results. My solution to the problem is to offer an alternative account of past existence that is compatible with a dynamic conception of time. I take as my starting point Adams’ suggestion that the past exists in virtue of the existence of thisnesses of past individuals. I first seek to defend this suggestion, before developing it further, in order to provide a satisfactory response to the Incoherence objection. The result is a new growing universe theory which avoids the Incoherence objection but which has some surprising features of its own. Chief among these is the rejection of present events. I argue, however, that such a rejection is a necessary consequence of endorsing the growing universe theory, and that it is not as counter-intuitive as it initially sounds.