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Showing papers by "Paul Sabatier University published in 2006"


Journal ArticleDOI
22 Sep 2006-Science
TL;DR: The results challenge the long-held axiom that pores smaller than the size of solvated electrolyte ions are incapable of contributing to charge storage.
Abstract: Carbon supercapacitors, which are energy storage devices that use ion adsorption on the surface of highly porous materials to store charge, have numerous advantages over other power-source technologies, but could realize further gains if their electrodes were properly optimized. Studying the effect of the pore size on capacitance could potentially improve performance by maximizing the electrode surface area accessible to electrolyte ions, but until recently, no studies had addressed the lower size limit of accessible pores. Using carbide-derived carbon, we generated pores with average sizes from 0.6 to 2.25 nanometer and studied double-layer capacitance in an organic electrolyte. The results challenge the long-held axiom that pores smaller than the size of solvated electrolyte ions are incapable of contributing to charge storage.

3,348 citations


Journal ArticleDOI
TL;DR: A two-step electrode design consisting of the electrochemically assisted template growth of Cu nanorods onto a current collector followed by electrochemical plating of Fe3O4 is used, which demonstrates a factor of six improvement in power density over planar electrodes while maintaining the same total discharge time.
Abstract: All battery technologies are known to suffer from kinetic problems linked to the solid-state diffusion of Li in intercalation electrodes, the conductivity of the electrolyte in some cases and the quality of interfaces. For Li-ion technology the latter effect is especially acute when conversion rather than intercalation electrodes are used. Nano-architectured electrodes are usually suggested to enhance kinetics, although their realization is cumbersome. To tackle this issue for the conversion electrode material Fe3O4, we have used a two-step electrode design consisting of the electrochemically assisted template growth of Cu nanorods onto a current collector followed by electrochemical plating of Fe3O4. Using such electrodes, we demonstrate a factor of six improvement in power density over planar electrodes while maintaining the same total discharge time. The capacity at the 8C rate was 80% of the total capacity and was sustained over 100 cycles. The origin of the large hysteresis between charge and discharge, intrinsic to conversion reactions, is discussed and approaches to reduce it are proposed. We hope that such findings will help pave the way for the use of conversion reaction electrodes in future-generation Li-ion batteries.

1,933 citations


Journal ArticleDOI
TL;DR: This unprecedented wood density data set yields consistent guidelines for estimating wood densities when species-level information is lacking and should significantly reduce error in Central and South American carbon accounting programs.
Abstract: Wood density is a crucial variable in carbon accounting programs of both secondary and old-growth tropical forests. It also is the best single descriptor of wood: it correlates with numerous morphological, mechanical, physiological, and ecological properties. To explore the extent to which wood density could be estimated for rare or poorly censused taxa, and possible sources of variation in this trait, we analyzed regional, taxonomic, and phylogenetic variation in wood density among 2456 tree species from Central and South America. Wood density varied over more than one order of magnitude across species, with an overall mean of 0.645 g/cm3. Our geographical analysis showed significant decreases in wood density with increasing altitude and significant differences among low-altitude geographical regions: wet forests of Central America and western Amazonia have significantly lower mean wood density than dry forests of Central and South America, eastern and central Amazonian forests, and the Atlantic forests of Brazil; and eastern Amazonian forests have lower wood densities than the dry forests and the Atlantic forest. A nested analysis of variance showed that 74% of the species-level wood density variation was explained at the genus level, 34% at the Angiosperm Phylogeny Group (APG) family level, and 19% at the APG order level. This indicates that genus-level means give reliable approximations of values of species, except in a few hypervariable genera. We also studied which evolutionary shifts in wood density occurred in the phylogeny of seed plants using a composite phylogenetic tree. Major changes were observed at deep nodes (Eurosid 1), and also in more recent divergences (for instance in the Rhamnoids, Simaroubaceae, and Anacardiaceae). Our unprecedented wood density data set yields consistent guidelines for estimating wood densities when species-level information is lacking and should significantly reduce error in Central and South American carbon accounting programs.

722 citations


Journal ArticleDOI
TL;DR: The concept of critical flux has been used in a number of different ways often without explicit redefinition as mentioned in this paper, and it has been clarified both theoretically and from an experimental viewpoint, and a link with the concept of sustainable flux and an approach given for the determination of the apparent sustainable flux.

701 citations


Journal ArticleDOI
05 Jan 2006-Nature
TL;DR: High spectral resolution measurements of 26Al emission at 1808.65 keV demonstrate that the 26Al source regions corotate with the Galaxy, supporting its Galaxy-wide origin and determining a present-day equilibrium mass of 2.8 (± 0.8) solar masses of 27Al.
Abstract: Gamma-rays from radioactive 26Al (half-life approximately 7.2 x 10(5) years) provide a 'snapshot' view of continuing nucleosynthesis in the Galaxy. The Galaxy is relatively transparent to such gamma-rays, and emission has been found concentrated along its plane. This led to the conclusion that massive stars throughout the Galaxy dominate the production of 26Al. On the other hand, meteoritic data show evidence for locally produced 26Al, perhaps from spallation reactions in the protosolar disk. Furthermore, prominent gamma-ray emission from the Cygnus region suggests that a substantial fraction of Galactic 26Al could originate in localized star-forming regions. Here we report high spectral resolution measurements of 26Al emission at 1808.65 keV, which demonstrate that the 26Al source regions corotate with the Galaxy, supporting its Galaxy-wide origin. We determine a present-day equilibrium mass of 2.8 (+/- 0.8) solar masses of 26Al. We use this to determine that the frequency of core collapse (that is, type Ib/c and type II) supernovae is 1.9 (+/- 1.1) events per century.

655 citations


Journal ArticleDOI
26 Jan 2006-Nature
TL;DR: The detection of a cool, sub-Neptune-mass planets may be more common than gas giant planets, as predicted by the core accretion theory, and is suggested to name OGLE-2005-BLG-390Lb, indicating a planetary mass companion to the lens star of the microlensing event.
Abstract: Over 170 extrasolar planets have so far been discovered, with a wide range of masses and orbital periods, but until last July no planet of Neptune's mass or less had been detected any more than 0.15 astronomical units (AU) from a normal star. (That's close — Earth is one AU from the Sun). On 11 July 2005 the OGLE Early Warning System recorded a notable event: gravitational lensing of light from a distant object by a foreground star revealed a small planet of about 5.5 Earth masses, orbiting at about 2.6 AU from the foreground star. This is the lowest known mass for an extrasolar planet orbiting a main sequence star, and its detection suggests that cool, sub-Neptune mass planets are more common than gas giants, as predicted by the favoured core accretion theory of planet formation. In the favoured core-accretion model of formation of planetary systems, solid planetesimals accumulate to build up planetary cores, which then accrete nebular gas if they are sufficiently massive. Around M-dwarf stars (the most common stars in our Galaxy), this model favours the formation of Earth-mass (M⊕) to Neptune-mass planets with orbital radii of 1 to 10 astronomical units (au), which is consistent with the small number of gas giant planets known to orbit M-dwarf host stars1,2,3,4. More than 170 extrasolar planets have been discovered with a wide range of masses and orbital periods, but planets of Neptune's mass or less have not hitherto been detected at separations of more than 0.15 au from normal stars. Here we report the discovery of a M⊕ planetary companion at a separation of au from a M⊙ M-dwarf star, where M⊙ refers to a solar mass. (We propose to name it OGLE-2005-BLG-390Lb, indicating a planetary mass companion to the lens star of the microlensing event.) The mass is lower than that of GJ876d (ref. 5), although the error bars overlap. Our detection suggests that such cool, sub-Neptune-mass planets may be more common than gas giant planets, as predicted by the core accretion theory.

636 citations


Journal ArticleDOI
TL;DR: This work focuses on calcium signalling in plant defence responses, particularly on the generation of the calcium signal and downstream calcium-dependent events participating in the establishment of defence responses with special reference to calcium-binding proteins.
Abstract: In plant cells, the calcium ion is a ubiquitous intracellular second messenger involved in numerous signalling pathways. Variations in the cytosolic concentration of Ca2+ ([Ca2+]cyt) couple a large array of signals and responses. Here we concentrate on calcium signalling in plant defence responses, particularly on the generation of the calcium signal and downstream calcium-dependent events participating in the establishment of defence responses with special reference to calcium-binding proteins.

602 citations


Journal ArticleDOI
TL;DR: A forced-choice saccade task is shown that when two scenes are simultaneously flashed in the left and right hemifields, human participants can reliably make saccades to the side containing an animal in as little as 120 ms.

586 citations


Journal ArticleDOI
TL;DR: This work develops nonsmooth optimization techniques to solve H_inftysynthesis problems under additional structural constraints on the controller that avoids the use of Lyapunov variables and therefore leads to moderate size optimization programs even for very large systems.
Abstract: We develop nonsmooth optimization techniques to solve $H_infty$ synthesis problems under additional structural constraints on the controller. Our approach avoids the use of Lyapunov variables and therefore leads to moderate size optimization programs even for very large systems. The proposed framework is versatile and can accommodate a number of challenging design problems including static, fixed-order, fixed-structure, decentralized control, design of PID controllers and simultaneous design and stabilization problems. Our algorithmic strategy uses generalized gradients and bundling techniques suited for the $H_infty$ norm and other nonsmooth performance criteria. We compute descent directions by solving quadratic programs and generate steps via line search. Convergence to a critical point from an arbitrary starting point is proved and numerical tests are included to validate our methods. The proposed approach proves to be efficient even for systems with several hundreds of states.

577 citations


Journal ArticleDOI
TL;DR: The snoRNA-LBME-db is a dedicated database containing human C/D box and H/ACA box small nucleolar RNAs (snoRNAs), and small Cajal body-specificRNAs (scaRNAs) that were experimentally verified, as well as the human orthologs of snoRNAs that were cloned in other vertebrate species.
Abstract: The snoRNA-LBME-db is a dedicated database containing human C/D box and H/ACA box small nucleolar RNAs (snoRNAs), and small Cajal body-specific RNAs (scaRNAs). C/D box and H/ACA box snoRNAs are part of ribonucleoparticles that guide 2′-O-ribose methylation and pseudouridilation, respectively, of selected residues of 28S, 18S or 5.8S rRNAs or of the spliceosomal U6 RNA. Similarly, scaRNAs guide modifications of the spliceosomal RNAs transcribed by RNA polymerase II (U1, U2, U4, U5 and U12) and are often composed of both C/D box and H/ACA box domains. However, some snoRNAs do not function as modification guide RNAs, but rather as RNA chaperones during the maturation of pre-rRNA. The database was built by a compilation of the literature, and comprises human sno/scaRNAs that were experimentally verified, as well as the human orthologs of snoRNAs that were cloned in other vertebrate species, and some snoRNAs that are predicted by bioinformatics search in loci submitted to genomic imprinting, but have not all been experimentally verified. For each entry, the database identifies the modified nucleotide(s) in the target RNA(s), indicates the corresponding predicted base pairing, gives a few pertinent references and provides a link to the position of the sno/scaRNA on the UCSC Genome Browser. The ‘Find guide RNA’ function allows one to find the sno/scaRNAs predicted to guide the modification of a particular nucleotide in the rRNA and spliceosomal RNA sequences. The ‘Browse’ function allows one to download the sequences of selected sno/scaRNAs in the FASTA format. The database is available online at http://www-snorna.biotoul.fr/. It can also be accessed from the human UCSC Genome Browser via the sno/miRNA track.

511 citations


Journal ArticleDOI
07 Jul 2006-Science
TL;DR: The design of antibiotherapy should take into consideration this potential of a major human pathogen to increase its rate of genetic exchange in response to antibiotics.
Abstract: Natural transformation is a widespread mechanism for genetic exchange in bacteria. Aminoglycoside and fluoroquinolone antibiotics, as well as mitomycin C, a DNA-damaging agent, induced transformation in Streptococcus pneumoniae. This induction required an intact competence regulatory cascade. Furthermore, mitomycin C induction of recA was strictly dependent on the development of competence. In response to antibiotic stress, S. pneumoniae, which lacks an SOS-like system, exhibited genetic transformation. The design of antibiotherapy should take into consideration this potential of a major human pathogen to increase its rate of genetic exchange in response to antibiotics.

Journal ArticleDOI
TL;DR: Recent data demonstrate that in addition to the ATM/ATR-CHK pathway, a p38-MAPKAP pathway is also involved in controlling CDC25 activity during G(2)/M checkpoint activation and highlight the significance of developing specific CDC25 inhibitors for cancer therapy.

Journal ArticleDOI
TL;DR: An overview of numerical possibility theory is proposed, showing that some notions in statistics are naturally interpreted in the language of this theory and providing a natural definition of a subjective possibility distribution that sticks to the Bayesian framework of exchangeable bets.

Journal ArticleDOI
TL;DR: It is reported for the first time that carbon nanotubes activate human complement via both classical and alternative pathways, and it is concluded that complement activation by nanot tubes is consistent with reported adjuvant effects, and might also in various circumstances promote damaging effects of excessive complement activation.

Journal ArticleDOI
TL;DR: A comparison of gram-positive bacteria chosen for their different lifestyles, the soil-dweller Bacillus subtilis and the major human pathogen S. pneumoniae reveals that the two species use different fitness-enhancing strategies in response to stress conditions.
Abstract: Bacterial transformation, a programmed mechanism for genetic exchange originally discovered in Streptococcus pneumoniae, is widespread in bacteria. It is based on the uptake and integration of exogenous DNA into the recipient genome. This review examines whether induction of competence for genetic transformation is a general response to stress in gram-positive bacteria. It compares data obtained with bacteria chosen for their different lifestyles, the soil-dweller Bacillus subtilis and the major human pathogen S. pneumoniae. The review focuses on the relationship between competence and other global responses in B. subtilis, as well as on recent evidence for competence induction in response to DNA damage or antibiotics and for the ability of S. pneumoniae to use competence as a substitute for SOS. This comparison reveals that the two species use different fitness-enhancing strategies in response to stress conditions. Whereas B. subtilis combines competence and SOS induction, S. pneumoniae relies only on competence to generate genetic diversity through transformation.

Journal ArticleDOI
TL;DR: Functional evidence is provided for the PhoPR 2‐CS involvement in Mtb pathogenesis and it is suggested that a major reason for the attenuation observed in the phoP mutant is the absence of certain complex lipids that are known to be important for virulence.
Abstract: Summary Two-component signal transduction systems (2-CS) play an important role in bacterial pathogenesis. In the work presented here, we have studied the effects of a mutation in the Mycobacterium tuberculosis ( Mtb ) PhoPR 2-CS on the pathogenicity, physiology and global gene expression of this bacterial pathogen. Disruption of PhoPR causes a marked attenuation of growth in macrophages and mice and prevents growth in low-Mg 2+ media. The inability to grow in THP- 1 macrophages can be partially overcome by the addition of excess Mg 2+ + + during infection. Global transcription assays demonstrate PhoP is a positive transcriptional regulator of several genes, but do not support the hypothesis that the Mtb PhoPR system is sensing Mg 2+ starvation, as is the case with the Sal- monella typhimurium PhoPQ 2-CS. The genes that were positively regulated include those found in the pks2 and the msl3 gene clusters that encode enzymes for the biosynthesis of sulphatides and diacyltreha- lose and polyacyltrehalose respectively. Complemen- tary biochemical studies, in agreement with recent results from another group, indicate that these com- plex lipids are also absent from the phoP mutant, and the lack of these components in its cell envelope may indirectly cause the mutant's high-Mg 2+ growth

Journal ArticleDOI
TL;DR: In this article, the authors discuss the possibility that the North Anatolian fault (NAF) results from the deep deformation of the slab beneath the Bitlis-Hellenic subduction zone.

Journal ArticleDOI
TL;DR: A better understanding of the relative contribution of the two types of receptors and evidence for the in vivo involvement of alpha2-adrenoceptors in the physiological control of subcutaneous adipose tissue lipolysis are provided.

Journal ArticleDOI
TL;DR: There are no universal scaling relationships of growth or mortality with size among trees in tropical forests, and a set of alternative predictions were developed that retained some assumptions of metabolic ecology while also considering how availability of a key limiting resource, light, changes with tree size.
Abstract: The theory of metabolic ecology predicts specific relationships among tree stem diameter, biomass, height, growth and mortality. As demographic rates are important to estimates of carbon fluxes in forests, this theory might offer important insights into the global carbon budget, and deserves careful assessment. We assembled data from 10 oldgrowth tropical forests encompassing censuses of 367 ha and > 1.7 million trees to test the theory’s predictions. We also developed a set of alternative predictions that retained some assumptions of metabolic ecology while also considering how availability of a key limiting resource, light, changes with tree size. Our results show that there are no universal scaling relationships of growth or mortality with size among trees in tropical forests. Observed patterns were consistent with our alternative model in the one site where we had the data necessary to evaluate it, and were inconsistent with the predictions of metabolic ecology in all forests.

Journal ArticleDOI
TL;DR: A review of the literature on atmospheric pressure discharges used for micro-organism inactivation, focused on the inactivation mechanisms, and a presentation of their research results showing, in particular, that UV photons can be the dominant species as discussed by the authors.
Abstract: This paper comprises two main parts: a review of the literature on atmospheric-pressure discharges used for micro-organism inactivation, focused on the inactivation mechanisms, and a presentation of our research results showing, in particular, that UV photons can be the dominant species in the inactivation process.The possibility of achieving spore inactivation through UV radiation using an atmospheric-pressure discharge or its flowing afterglow is the object of a continuing controversy. In fact, the review of the literature that we present shows that a majority of researchers have come to the conclusion that, at atmospheric pressure, chemically reactive species such as free radicals, metastable atoms and molecules always control the inactivation process, while UV photons play only a minor role or no role at all. In contrast, only a few articles suggest or claim that UV photons coming from atmospheric-pressure discharges can, in some cases, inactivate micro-organisms, but the experimental data presented and the supporting arguments brought forward in that respect are relatively incomplete.Using a dielectric-barrier discharge operated at atmospheric pressure in an N2–N2O mixture, we present, for the first time, experiments where micro-organisms are subjected to plasma conditions such that, on the one hand, UV radiation is strong or, on the other hand, there is no UV radiation, the two different situations being obtained with the same experimental arrangement, including the same gas mixture, N2–N2O. To achieve maximum UV radiation, the concentration of the oxidant molecule (N2O) added to N2 needs to be tuned carefully, resulting then in the fastest inactivation rate. The concentration range of the oxidant molecule in the mixture for which the UV intensity is significant is extremely narrow, a fact that possibly explains why such a mode of plasma sterilization was not readily observed. The survival curves obtained under dominant UV radiation conditions are, as we show, akin to those recorded at reduced pressure. Relatively fast spore inactivation can also be obtained under no UV radiation as a result of radicals diffusing deeply inside the spores, leading to oxidative lethal damage.

Journal ArticleDOI
TL;DR: Using the largest-ever genetic sample from wild orang-utan populations, strong evidence is shown for a recent demographic collapse in North Eastern Borneo and it is demonstrated that this signature is independent of the mutation and demographic models used.
Abstract: Great ape populations are undergoing a dramatic decline, which is predicted to result in their extinction in the wild from entire regions in the near future. Recent findings have particularly focused on African apes, and have implicated multiple factors contributing to this decline, such as deforestation, hunting, and disease. Less well-publicised, but equally dramatic, has been the decline in orang-utans, whose distribution is limited to parts of Sumatra and Borneo. Using the largest-ever genetic sample from wild orang-utan populations, we show strong evidence for a recent demographic collapse in North Eastern Borneo and demonstrate that this signature is independent of the mutation and demographic models used. This is the first demonstration that genetic data can detect and quantify the effect of recent, human-induced deforestation and habitat fragmentation on an endangered species. Because current demographic collapses are usually confounded by ancient events, this suggests a much more dramatic decline than demographic data alone and emphasises the need for major conservation efforts.

Journal ArticleDOI
TL;DR: This work compares the temporal dynamics of percept alternations observed during auditory streaming with those observed for visual plaids and the susceptibilities of both modalities to volitional control to indicate that auditory and visual alternations share common principles of perceptual bistability.

Journal ArticleDOI
TL;DR: Despite the precocious utilization of facial emotions, the neural processing involved in the perception of emotional faces develops in a staggered fashion throughout childhood, with the adult pattern appearing only late in adolescence.
Abstract: Our facial expressions give others the opportunity to access our feelings, and constitute an important nonverbal tool for communication. Many recent studies have investigated emotional perception in adults, and our knowledge of neural processes involved in emotions is increasingly precise. Young children also use faces to express their internal states and perceive emotions in others, but little is known about the neurodevelopment of expression recognition. The goal of the current study was to determine the normal development of facial emotion perception. We recorded ERPs in 82 children 4 to 15 years of age during an implicit processing task with emotional faces. Task and stimuli were the same as those used and validated in an adult study; we focused on the components that showed sensitivity to emotions in adults (P1, N170 and frontal slow wave). An effect of the emotion expressed by faces was seen on the P1 in the youngest children. With increasing age this effect disappeared while an emotional sensitivity emerged on N170. Early emotional processing in young children differed from that observed in the adolescents, who approached adults. In contrast, the later frontal slow wave, although showing typical age effects, was more positive for neutral and happy faces across age groups. Thus, despite the precocious utilization of facial emotions, the neural processing involved in the perception of emotional faces develops in a staggered fashion throughout childhood, with the adult pattern appearing only late in adolescence.

Journal ArticleDOI
TL;DR: The purpose of this review is to discuss the experimental results obtained to date using proteomics, as well as some of the new questions challenging future research.

Journal ArticleDOI
TL;DR: It is demonstrated that in zebrafish, early DRG sensory neuron survival is independent of differentiated glia, and the generality of the model of Sox10 function in NC fate specification is established.
Abstract: sox10 is necessary for development of neural and pigment cell derivatives of the neural crest (NC). However, whereas a direct role for Sox10 activity has been established in pigment and glial lineages, this is more controversial in NC-derived sensory neurons of the dorsal root ganglia (DRGs). We proposed that sox10 functioned in specification of sensory neurons, whereas others suggested that sensory neuronal defects were merely secondary to absence of glia. Here we provide evidence that in zebrafish, early DRG sensory neuron survival is independent of differentiated glia. Critically, we demonstrate that Sox10 is expressed transiently in the sensory neuron lineage, and specifies sensory neuron precursors by regulating the proneural gene neurogenin1. Consistent with this, we have isolated a novel sox10 mutant that lacks glia and yet displays a neurogenic DRG phenotype. In conjunction with previous findings, these data establish the generality of our model of Sox10 function in NC fate specification.

Journal ArticleDOI
15 Dec 2006-Science
TL;DR: The early Upper Palaeolithic population(s) carrying M1 and U6 did not return to Africa along the southern coastal route of the “out of Africa” exit, but from the Mediterranean area; and the North African Dabban and European Aurignacian industries derived from a common Levantine source.
Abstract: Sequencing of 81 entire human mitochondrial DNAs (mtDNAs) belonging to haplogroups M1 and U6 reveals that these predominantly North African clades arose in southwestern Asia and moved together to Africa about 40,000 to 45,000 years ago Their arrival temporally overlaps with the event(s) that led to the peopling of Europe by modern humans and was most likely the result of the same change in climate conditions that allowed humans to enter the Levant, opening the way to the colonization of both Europe and North Africa Thus, the early Upper Palaeolithic population(s) carrying M1 and U6 did not return to Africa along the southern coastal route of the “out of Africa” exit, but from the Mediterranean area; and the North African Dabban and European Aurignacian industries derived from a common Levantine source

Journal ArticleDOI
TL;DR: While inversion and contrast reversal effects on N170 latency are not category-specific, their effects on amplitude are face-specific and reflect mainly the contribution of the eye region.

Journal ArticleDOI
TL;DR: The global efficiency, robustness to disconnections and cost of these graphs is studied and their possible origins analyzed, finding a wide range of patterns, from tree-like settlements to meshed urban patterns.
Abstract: Many urban settlements result from a spatially distributed, decentralized building process. Here we analyze the topological patterns of organization of a large collection of such settlements using the approach of complex networks. The global efficiency (based on the inverse of shortest-path lengths), robustness to disconnections and cost (in terms of length) of these graphs is studied and their possible origins analyzed. A wide range of patterns is found, from tree-like settlements (highly vulnerable to random failures) to meshed urban patterns. The latter are shown to be more robust and efficient.

Journal ArticleDOI
TL;DR: In this article, a new method of deriving the initial mass function (IMF) of the polluters, by using the O/Na abundance distribution, was presented for the NGC 2808, a GC for which the largest sample of O and Na abundance determinations is presently available.
Abstract: Aims. Galactic globular cluster (GC) stars exhibit abundance patterns that are not shared by their field counterparts, e.g. the welldocumented O-Na and Mg-Al anticorrelations. Recent spectroscopic observations of GC turnoff stars have provided compelling evidence that these abundance anomalies were already present in the gas from which the observed stars formed. A widely held hypothesis is that the gas was “polluted” by stars that were more massive (and evolving faster) than the presently observed low-mass stars. In the framework of this “self-enrichment” scenario for GCs, we present a new method of deriving the initial mass function (IMF) of the polluters, by using the O/Na abundance distribution. Methods. We focus on NGC 2808, a GC for which the largest sample of O and Na abundance determinations is presently available. We use the abundance distribution of [O/Na] to derive the amount of polluted material with respect to the original composition. We explore two scenarios in detail for the self-enrichment of the cluster, which differ by the assumptions made on the composition of the polluter ejecta. In each case we consider two classes of possible “culprits”: massive asymptotic giant branch (AGB) stars (4−9 M� ) and winds of massive stars (WMS) in the mass range 10−100 M� . Results. We obtain upper limits for the slope of the IMF (assumed to be given by a power-law) of the stars initially more massive than the present turnoff mass. We also derive lower limits for the amount of stellar residues in NGC 2808. Conclusions. We find that the polluter IMF had to be much flatter than the presently observed IMFs in stellar clusters, which agrees with the results of two other GC IMF determination methods, which we also discuss. Likewise, we find that the present mass of the GC should be totally dominated by stellar remnants if the polluters were AGB stars, which is not the case if the culprits are WMS. We critically analyse the advantages and shortcomings of each potential polluter class and find the WMS scenario more attractive.

Journal ArticleDOI
TL;DR: The average density of states in matrices whose eigenvalues are restricted to be larger than a fixed number zeta is calculated, thus generalizing the celebrated Wigner semicircle law.
Abstract: We calculate analytically the probability of large deviations from its mean of the largest (smallest) eigenvalue of random matrices belonging to the Gaussian orthogonal, unitary, and symplectic ensembles. In particular, we show that the probability that all the eigenvalues of an (N x N) random matrix are positive (negative) decreases for large N as approximately exp[-betatheta(0)N2] where the parameter beta characterizes the ensemble and the exponent theta(0)=(ln3)/4=0.274 653... is universal. We also calculate exactly the average density of states in matrices whose eigenvalues are restricted to be larger than a fixed number zeta, thus generalizing the celebrated Wigner semicircle law. The density of states generically exhibits an inverse square-root singularity at zeta.