The primordial deuterium abundance at z = 2.504 from a high signal-to-noise spectrum of Q1009+2956

The spectrum of the $z_{\rm em} = 2.63$ quasar Q1009+2956 has been observed extensively on the Keck telescope. The Lyman limit absorption system $z_{\rm abs} = 2.504$ was previously used to measure D/H by Burles & Tytler using a spectrum with signal to noise approximately 60 per pixel in the continuum near Ly {\alpha} at $z_{\rm abs} = 2.504$. The larger dataset now available combines to form an exceptionally high signal to noise spectrum, around 147 per pixel. Several heavy element absorption lines are detected in this LLS, providing strong constraints on the kinematic structure. We explore a suite of absorption system models and find that the deuterium feature is likely to be contaminated by weak interloping Ly {\alpha} absorption from a low column density H I cloud, reducing the expected D/H precision. We find D/H = $2.48^{+0.41}_{-0.35}\times10^{-5}$ for this system. Combining this new measurement with others from the literature and applying the method of Least Trimmed Squares to a statistical sample of 15 D/H measurements results in a "reliable" sample of 13 values. This sample yields a primordial deuterium abundance of (D/H)$_{\rm p} = (2.545 \pm 0.025)\times10^{-5}$. The corresponding mean baryonic density of the Universe is $\Omega_{\rm b}h^2 = 0.02174\pm0.00025$. The quasar absorption data is of the same precision as, and marginally inconsistent with, the 2015 CMB Planck (TT+lowP+lensing) measurement, $\Omega_{\rm b}h^2 = 0.02226\pm0.00023$. Further quasar and more precise nuclear data are required to establish whether this is a random fluctuation.Comment: accepted by MNRAS, 18 pages, 12 figures, 6 table

Power Allocation Games in Wireless Networks of Multi-antenna Terminals

We consider wireless networks that can be modeled by multiple access channels in which all the terminals are equipped with multiple antennas. The propagation model used to account for the effects of transmit and receive antenna correlations is the unitary-invariant-unitary model, which is one of the most general models available in the literature. In this context, we introduce and analyze two resource allocation games. In both games, the mobile stations selfishly choose their power allocation policies in order to maximize their individual uplink transmission rates; in particular they can ignore some specified centralized policies. In the first game considered, the base station implements successive interference cancellation (SIC) and each mobile station chooses his best space-time power allocation scheme; here, a coordination mechanism is used to indicate to the users the order in which the receiver applies SIC. In the second framework, the base station is assumed to implement single-user decoding. For these two games a thorough analysis of the Nash equilibrium is provided: the existence and uniqueness issues are addressed; the corresponding power allocation policies are determined by exploiting random matrix theory; the sum-rate efficiency of the equilibrium is studied analytically in the low and high signal-to-noise ratio regimes and by simulations in more typical scenarios. Simulations show that, in particular, the sum-rate efficiency is high for the type of systems investigated and the performance loss due to the use of the proposed suboptimum coordination mechanism is very small

Aperiodic Ising model on the Bethe lattice: Exact results

We consider the Ising model on the Bethe lattice with aperiodic modulation of the couplings, which has been studied numerically in Phys. Rev. E 77, 041113 (2008). Here we present a relevance-irrelevance criterion and solve the critical behavior exactly for marginal aperiodic sequences. We present analytical formulae for the continuously varying critical exponents and discuss a relationship with the (surface) critical behavior of the aperiodic quantum Ising chain.Comment: 7 pages, 3 figures, minor correction

Is the Broad-Line Region Clumped or Smooth? Constraints from the H alpha Profile in NGC 4395, the Least Luminous Seyfert 1 Galaxy

The origin and configuration of the gas which emits broad lines in Type I active galactic nuclei is not established yet. The lack of small-scale structure in the broad emission-line profiles is consistent with a smooth gas flow, or a clumped flow with many small clouds. An attractive possibility for the origin of many small clouds is the atmospheres of bloated stars, an origin which also provides a natural mechanism for the cloud confinement. Earlier studies of the broad-line profiles have already put strong lower limits on the minimum number of such stars, but these limits are sensitive to the assumed width of the lines produced by each cloud. Here we revisit this problem using high-resolution Keck spectra of the H alpha line in NGC 4395, which has the smallest known broad-line region (~10^14 cm). Only a handful of the required bloated stars (each having r~10^14 cm) could fit into the broad-line region of NGC 4395, yet the observed smoothness of the H alpha line implies a lower limit of ~10^4-10^5 on the number of discrete clouds. This rules out conclusively the bloated-stars scenario, regardless of any plausible line-broadening mechanisms. The upper limit on the size of the clouds is ~10^12 cm, which is comparable to the size implied by photoionization models. This strongly suggests that gas in the broad-line region is structured as a smooth rather than a clumped flow, most likely in a rotationally dominated thick disk-like configuration. However, it remains to be clarified why such a smooth, gravity-dominated flow generates double-peaked emission lines only in a small fraction of active galactic nuclei.Comment: 12 pages, including 3 figures, accepted for publication in The Astrophysical Journa

Primordial deuterium abundance at z=2.504 towards Q1009+2956

The z_abs = 2.504 Lyman Limit absorption system (LLS) towards Q1009+2956 has previously been used to estimate the primordial deuterium abundance. Since the initial measurement by Burles & Tytler, this quasar has been observed extensively with the Keck telescope, providing a substantial increase in signal-to-noise (from 60 to 147 at continuum level of Ly-alpha at z_abs=2.504). We explore a set of different models for the absorption system and find that the deuterium feature is contaminated by Ly-alpha absorption from a low column density H I cloud. This significantly limits precision to which one can estimate the D/H ratio in this LLS. Our final result for this system D/H =2.48^{+0.41}_{-0.35}*10^{-5} has the same relative uncertainty of 17% as the previous estimate by Burles & Tytler despite the far higher signal-to-noise of our dataset. A weighted mean of 13 D/H measurements available in the literature (including our result) gives the primordial deuterium abundance of (D/H)_p = (2.545 +/- 0.025)*10^{-5} and the corresponding baryon density of the Universe of Omega_b h^2 = 0.02174 +/- 0.00025 marginally inconsistent with the 2015 Planck CMB data.Comment: 7 pages, 3 figures, conference proceedings from PhysicA.SPb 201

Union économique et mobilité des facteurs; le cas de l'Union Économique et Monétaire Ouest Africain (UEMOA)

L'objet de ce papier est d'analyser les conséquences de la mise en place d'une Union économique entre les pays d'Afrique de l'Ouest (UEMOA), dans le cadre d'un modèle d'équilibre général calculable multi-pays avec mobilité des facteurs de production. On s'interroge sur les facteurs de convergence ou de divergence de développement, consécutifs à la réallocation des ressources et du commerce engendrés par la création de l'Union entre les pays membres qui, même s'ils ont des niveaux de revenus uniformément faibles, sont d'une configuration assez asymétrique. Tout d'abord, dans la mesure où l'Union économique signifie pour certains une forte ouverture internationale et pour d'autres un léger réarmement douanier, ses effets, de faible ampleur, sont contrastés. Par ailleurs, en dépit de l'asymétrie du choc, nos résultats sont conformes à ceux développés par Venables (1999): la Côte d'Ivoire qui possède le rapport des facteurs de production le moins éloigné du rapport mondial est le pays qui bénéficie le plus du processus d'intégration régionale. A l'inverse, le Burkina Faso voit sa situation se dégrader. La mobilité du travail et du capital industriel accentue le phénomène de divergence entre les pays de la zone. C'est ainsi que le Sénégal, et dans une moindre mesure le Togo, verraient à long terme leurs situations se dégrader par rapport au scénario de référence du fait de la fuite des capitaux industriels et donc leur écart de développement avec la Côte d'Ivoire croître. A contrario, la question migratoire, qui est parfois mise en exergue dans ce contexte, compte tenu des niveaux des flux et de l'ampleur somme toute modérée du choc macro-économique n'apparaît pas avec acuité. Enfin, on montre que la question de la transition fiscalo-douanière est centrale. En effet, selon le mode de financement des pertes fiscales choisi, l'impact des réformes douanières peut aller en sens opposé notamment sur la croissance des secteurs industriels dans des pays comme le Sénégal. Tant de problème du "creusement" du fossé entre la Côte d'Ivoire et ses partenaires régionaux et ses effets en terme de migration et de localisation du capital industriel dans la région, que le traitement du problème de la transition fiscalo-douanière doivent inciter la communauté internationale à envisager les politiques d'aide dans une stratégie régionale et non pas nationale comme cela l'est malheureusement encore.Intégration régionale, UEMOA, migration, FDI, MEGC

Kinetics of photoinduced ordering in azo-dye films: two-state and diffusion models

We study the kinetics of photoinduced ordering in the azo-dye SD1 photoaligning layers and present the results of modeling performed using two different phenomenological approaches. A phenomenological two state model is deduced from the master equation for an ensemble of two-level molecular systems. Using an alternative approach, we formulate the two-dimensional (2D) diffusion model as the free energy Fokker-Planck equation simplified for the limiting regime of purely in-plane reorientation. The models are employed to interpret the irradiation time dependence of the absorption order parameters extracted from the available experimental data by using the exact solution to the light transmission problem for a biaxially anisotropic absorbing layer. The transient photoinduced structures are found to be biaxially anisotropic whereas the photosteady and the initial states are uniaxial.Comment: revtex4, 34 pages, 9 figure