Evolution of self-gravitating magnetized disks. I- Axisymmetric simulations

In this paper and a companion work, we report on the first global numerical simulations of self-gravitating magnetized tori, subject in particular to the influence of the magnetorotational instability (MRI). In this work, paper I, we restrict our calculations to the study of the axisymmetric evolution of such tori. Our goals are twofold: (1) to investigate how self-gravity influences the global structure and evolution of the disks; and (2) to determine whether turbulent density inhomogeneities can be enhanced by self-gravity in this regime. As in non self-gravitating models, the linear growth of the MRI is followed by a turbulent phase during which angular momentum is transported outward. As a result, self-gravitating tori quickly develop a dual structure composed of an inner thin Keplerian disk fed by a thicker self-gravitating disk, whose rotation profile is close to a Mestel disk. Our results show that the effects of self-gravity enhance density fluctuations much less than they smooth the disk, and giving it more coherence. We discuss the expected changes that will occur in 3D simulations, the results of which are presented in a companion paper.Comment: 20 pages, 7 figures, accepted for publication in Ap

A Numerical Method for General Relativistic Magnetohydrodynamics

This paper describes the development and testing of a general relativistic magnetohydrodynamic (GRMHD) code to study ideal MHD in the fixed background of a Kerr black hole. The code is a direct extension of the hydrodynamic code of Hawley, Smarr, and Wilson, and uses Evans and Hawley constrained transport (CT) to evolve the magnetic fields. Two categories of test cases were undertaken. A one dimensional version of the code (Minkowski metric) was used to verify code performance in the special relativistic limit. The tests include Alfv\'en wave propagation, fast and slow magnetosonic shocks, rarefaction waves, and both relativistic and non-relativistic shock tubes. A series of one- and two-dimensional tests were also carried out in the Kerr metric: magnetized Bondi inflow, a magnetized inflow test due to Gammie, and two-dimensional magnetized constant-$l$ tori that are subject to the magnetorotational instability.Comment: 37 pages, 14 figures, submitted to ApJ. Animations can be viewed at http://www.astro.virginia.edu/~jd5v/grmhd/grmhd.htm

Unbiased assessment of first language acquisition in English: Distinguishing development and dialect from disorder.

The project described in this article reflects the combined expertise of linguists studying the distinctive characteristics of AAE, developmental psycholinguists with extensive experience studying normal acquisition in several domains of language, and clinicians skilled in assessment of and intervention with language-impaired children. Another important feature of the project was that the research contract included an agreement between the principal investigators, the federal funding agency, and a major publishing company (The Psychological Corporation) for the publishers to carry out the field testing and standardization of the assessment instrument as soon as the researchers developed the materials. This considerably reduced the time from conception to publication of the tests

Evolution of self-gravitating magnetized disks. II- Interaction between MHD turbulence and gravitational instabilities

We present 3D magnetohydrodynamic (MHD) numerical simulations of the evolution of self--gravitating and weakly magnetized disks with an adiabatic equation of state. Such disks are subject to the development of both the magnetorotational and gravitational instabilities, which transport angular momentum outward. As in previous studies, our hydrodynamical simulations show the growth of strong m=2 spiral structure. This spiral disturbance drives matter toward the central object and disappears when the Toomre parameter Q has increased well above unity. When a weak magnetic field is present as well, the magnetorotational instability grows and leads to turbulence. In that case, the strength of the gravitational stress tensor is lowered by a factor of about~2 compared to the hydrodynamical run and oscillates periodically, reaching very small values at its minimum. We attribute this behavior to the presence of a second spiral mode with higher pattern speed than the one which dominates in the hydrodynamical simulations. It is apparently excited by the high frequency motions associated with MHD turbulence. The nonlinear coupling between these two spiral modes gives rise to a stress tensor that oscillates with a frequency which is a combination of the frequencies of each of the modes. This interaction between MHD turbulence and gravitational instabilities therefore results in a smaller mass accretion rate onto the central object.Comment: 31 pages, 19 figures, accepted for publication in ApJ, animation avalaible at http://www2.iap.fr/users/fromang/simu3d/simu3d.htm

A Pathway to Commitment in the South African Supermarket: An Exploratory Study

The supermarket sector is a major component of the retail industry in South Africa. Yet, these retail chains largely exist in a ‘sea of sameness’ where only subtle characteristics differentiate them from each other. This paper aims to investigate the means through which such chains can achieve competitive advantage through the creation of customer commitment. Whilst structural bonds might create the impression that customers are loyal, commitment goes beyond behavioural loyalty and is argued to be a better indicator of the customer’s propensity to patronise the retailer into the foreseeable future. Through consideration of the retail mix, this study determines that low prices, in-store promotions and facilities do not necessarily lead to customer commitment, whereas superior customer service and quality and variety of store merchandise are considerably more influential in this respect. However, on the whole, customer commitment in the supermarket sector remains somewhat poor and needs to be further entrenched. Key words: Supermarkets, Satisfaction, Behaviour, Commitment, Structural Bonds, Retail Mix, South Afric

The development of passive health surveillance by a sentinel network of family practitioners in South Africa

Objective. For the South African Sentinel Practitioner Research Network (SASPREN), a volunteer network of family practitioners in South Africa, to develop a health surveillance system through the surveillance of important health events.Motivation. The incidence of important preventable diseases and the burden of disease are not reliably known in South Africa, both in the public and private sector. Incidence rates determined at primary care level could help with planning and delivery of appropriate health services and monitoring of the impact of intervention programmes.Methods. Altogether 183 sentinel practitioners were recruited in nine provinces, from 2 478 doctors invited to participate. Of these 120 were active in reporting all their new cases of 13 selected health events to the study centre on mailed postcards. After data-capturing, incidence rates were calculated for defined periods. Feedback was given to the sentinels through a newsletter and personalised reports.Results. A network of sentinel family practitioners has been established in South Africa, and can provide incidence rates for both diseases and interventions through a simple and cheap surveillance system. The calculated rates demonstrated periodic trends for certain events, as well as inter-provincial, -gender and -population group differences.Conclusions. As the validity of the dataset and its generalisation to the whole population is uncertain, its usefulness as point estimates of incidence rates isunknown. This information serves as an important pointer for further research. The trends of these rates may provide a valuable tool for monitoring the impact of public health policies

Influence of low intensity laser irradiation on isolated human adipose derived stem cells over 72 hours and their differentiation potential into smooth muscle cells using retinoic acid

Human adipose derived stem cells (hADSCs), with their impressive differentiation potential, may be used in autologous cell therapy or grafting to replace damaged tissues. Low intensity laser irradiation (LILI) has been shown to influence the behaviour of various cells, including stem cells. This study aimed to investigate the effect of LILI on hADSCs 24, 48 or 72 h post-irradiation and their differentiation potential into smooth muscle cells (SMCs). Methodology: hADSCs were exposed to a 636 nm diode laser at a fluence of 5 J/cm2. hADSCs were differentiated into SMCs using retinoic acid (RA). Morphology was assessed by inverted light and differential interference contrast (DIC) microscopy. Proliferation and viability of hADSCs was assessed by optical density (OD), Trypan blue staining and adenosine triphosphate (ATP) luminescence. Expression of stem cell markers, β1-integrin and Thy-1, and SMC markers, smooth muscle alpha actin (SM-αa), desmin, smooth muscle myosin heavy chain (SM-MHC) and smoothelin, was assessed by immunofluorescent staining and real-time reverse transcriptase polymerase chain reaction (RT-PCR). Results: Morphologically, hADSCs did not show any differences and there was an increase in viability and proliferation post-irradiation. Immunofluorescent staining showed expression of β1-integrin and Thy-1 72 h post-irradiation. RT-PCR results showed a down regulation of Thy-1 48 h post-irradiation. Differentiated SMCs were confirmed by morphology and expression of SMC markers. Conclusion: LILI at a wavelength of 636 nm and a fluence of 5 J/cm2 does not induce differentiation of isolated hADSCs over a 72 h period, and increases cellular viability and proliferation. hADSCs can be differentiated into SMCs within 14 days using RA

Beam models for the hangingwall of deep, tabular excavations in stratified rock

In the South African gold mining industry, mining is being conducted at depths of over 3 000 m below the surface. Severe fracturing and deformation of the rock occurs making it unlikely that stress analysis which treats the rock as a homogeneous elastic material will yield useful results about the behaviour around the excavation. The excavation, or stope, considered in this study is tabular. The stope occurs in stratified rock with bedding planes at approximately 1 m intervals. The height of the stope is about 1 m to 1.5 m and the length increases to over 100 m as mining progresses. Shear fractures initiate ahead of the advancing stope, which together with the bedding planes separate the rock into distinct blocks of relatively intact material. The stratified nature of the material in the hangingwall (or roof) of the excavation, and the lack of cohesion in the bedding planes, suggests that separation occurs along the bedding planes, with each layer supporting its own weight. The lowest of these layers is referred to as the "hangingwall beam". Stope closure occurs at a distance of around 30 to 40 m behind the stope face. This study focuses on the mechanics of the hangingwall beam with particular emphasis on the conditions for stable closure. In order to do this the stope is first analysed using a finite element model which treats the rock as a homogeneous elastic medium. By treating the hangingwall beam as a separate layer, 1 m thick, its behaviour is compared to that observed in practice. We find that the hangingwall beam does separate from the overlying rock, but that the axial stresses in the beam are tensile, thus contradicting the observed behaviour. In practice, compressive stresses exist in the hangingwall and footwall. It has been suggested that slip along the shear fractures generates the compressive stresses. In constructing a mathematical model of the hangingwall beam we consider the beam to be made up of blocks 1 m deep and 1 m long. The blocks are treated as a homogeneous elastic material. The behaviour of such a beam is different from that of a fully homogeneous beam, because of the possibility of the formation of hinges. By considering a range of simplified models of a beam composed of blocks, various questions regarding its stability can be addressed. These models consider beams of fixed span in which the weight is increased from zero to the full value. The largest unsupported halfspan which can be stably equilibrated is of the order of 31 m. The maximum stable deflection is 0. 4 m, and therefore additional support is required to allow closure to occur statically. The nature of a single supporting spring that will let down the beam in a limiting, stable manner is identified. Once closure has taken place, the hangingwall beam is stable. In order to obtain a realistic picture of the steady state configuration of the hangingwall beam, an analysis is performed which simulates the advancing stope face. The results show that the distance between the face and the point of closure is around 34 m which is in accord with the behaviour observed in practice. The results have shown that the model which treats the hangingwall as a beam composed of blocks provides useful information about the mechanics of the hangingwall

Thick domain walls around a black hole

We discuss the gravitationally interacting system of a thick domain wall and a black hole. We numerically solve the scalar field equation in the Schwarzschild spacetime and obtain a sequence of static axi-symmetric solutions representing thick domain walls. We find that, for the walls near the horizon, the Nambu--Goto approximation is no longer valid.Comment: 18 pages, 11 figures, one reference adde

The influence of acetaldehyde and water on the determination of 14C in wine alcohol

Der Einfluß von Acetaldehyd und Wasser auf die 14C-Bestimmung bei WeinalkoholDie Bestimmung von 14C im Äthanol von Wein wird nicht signifikant beeinflußt, wenn die Destillation sorgfältig durchgeführt wird und der Wasser- und Aldehydgehalt 10 % (v/v) bzw. 0,5 % (v/v) nicht übersteigt