Fundamental Limits of Cooperation

Cooperation is viewed as a key ingredient for interference management in wireless systems. This paper shows that cooperation has fundamental limitations. The main result is that even full cooperation between transmitters cannot in general change an interference-limited network to a noise-limited network. The key idea is that there exists a spectral efficiency upper bound that is independent of the transmit power. First, a spectral efficiency upper bound is established for systems that rely on pilot-assisted channel estimation; in this framework, cooperation is shown to be possible only within clusters of limited size, which are subject to out-of-cluster interference whose power scales with that of the in-cluster signals. Second, an upper bound is also shown to exist when cooperation is through noncoherent communication; thus, the spectral efficiency limitation is not a by-product of the reliance on pilot-assisted channel estimation. Consequently, existing literature that routinely assumes the high-power spectral efficiency scales with the log of the transmit power provides only a partial characterization. The complete characterization proposed in this paper subdivides the high-power regime into a degrees-of-freedom regime, where the scaling with the log of the transmit power holds approximately, and a saturation regime, where the spectral efficiency hits a ceiling that is independent of the power. Using a cellular system as an example, it is demonstrated that the spectral efficiency saturates at power levels of operational relevance.Comment: 27 page

Анизотропно-пучковая неустойчивость лазерной плазмы

При распространении мощного лазерного импульса вдоль внешнего магнитного поля в плазме возбуждается широкий спектр вистлерных мод с частотами ниже электронной циклотронной частоты, что приводит к появлению надтепловых электронов и установлению плато на первоначально максвелловской функции распределения. В результате развивается анизотропно-пучковая неустойчивость и происходит трансформация энергии быстрых электронов в энергию электростатических колебаний плазмы.При розповсюдженні потужного лазерного імпульсу вздовж зовнішнього магнітного поля в плазмі збуджується широкий спектр вістлерних мод з частотами нижче електронної циклотроної частоти, що призводить до появи надтеплових електронів і встановленню плато на первісно максвеллівській функції розподілу. У результаті розвивається анізотропно-пучкова нестійкість і відбувається трансформація енергії швидких електронів в енергію електростатичних коливань плазми.In the propagation of intense laser pulse along the external magnetic field in a plasma excited a wide range of whistler modes with frequencies below the electron cyclotron frequency, which leads to the suprathermal electrons and the establishment of a plateau on the original Maxwellian distribution functions. As a result, develops anisotropically-stream instability and a transformation of fast electron energy in the energy of electrostatic plasma oscillations

Power scaling rules for charmonia production and HQEFT

We discuss the power scaling rules along the lines of a complete Heavy Quark Effective Field Theory (HQEFT) for the description of heavy quarkonium production through a color-octet mechanism. To this end, we firstly derive a tree-level heavy quark effective Lagrangian keeping both particle-antiparticle mixed sectors allowing for heavy quark-antiquark pair annihilation and creation, but describing only low-energy modes around the heavy quark mass. Then we show the consistency of using HQEFT fields in constructing four-fermion local operators a la NRQCD, to be identified with standard color-octet matrix elements. We analyze some numerical values extracted from charmonia production by different authors and their hierarchy in the light of HQEFT.Comment: LaTeX, 19 pages, 3 EPS figure

Importance de l'état énergétique de l'eau sur l'aptitude au tassement de matériaux argileux non saturés

Centro de Informacion y Documentacion Cientifica (CINDOC). C/Joaquin Costa, 22. 28002 Madrid. SPAIN / CINDOC - Centro de Informaciòn y Documentaciòn CientìficaSIGLEESSpai

Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation

In the heavy quark limit, a doubly heavy baryon is regarded as composed of a heavy diquark and a light quark. We establish the Bethe-Salpeter (BS) equations for the heavy diquarks and the doubly heavy baryons, respectively, to leading order in a $1/m_{Q}$ expansion. The BS equations are solved numerically under the covariant instantaneous approximation with the kernels containing scalar confinement and one-gluon-exchange terms. The masses for the heavy diquarks and the doubly heavy baryons are obtained and the non-leptonic decay widths for the doubly heavy baryons emitting a pseudo-scalar meson are calculated within the model.Comment: Corrections to the text, two references added, version accepted for publication in Physical Review

Experimental scheme for unambiguous discrimination of linearly independent symmetric states

We propose an optimal discrimination scheme for a case of four linearly independent nonorthogonal symmetric quantum states, based on linear optics only. The probability of discrimination is in agreement with the optimal probability for unambiguous discrimination among N symmetric states [Phys. Lett. A \textbf{250}, 223 (1998)]. The experimental setup can be extended for the case of discrimination among $2^M$ nonorthogonal symmetric quantum states

A note on the existence of soliton solutions in the Chern-Simons-CP(1) model

We study a gauged Chern-Simons-CP(1) system. We show that contrary to previous claims the model in the absences of a potential term cannot support finite size soliton solution in $R^2$.Comment: 12 pages, 5 figure

Determination of Osmolality in Beer to Validate Claims of Isotonicity

Alcohol-free beer is increasingly marketed with the claim “isotonic”. According to the European Food Safety Authority (EFSA), isotonic beverages should have an osmolality in a range of 270–330 mOsmol/kg. A method to determine osmolality in beer using an automatic cryoscope was applied and validated in this study. Isotonic and hypotonic beers can be measured directly, while hypertonic beers have to be diluted into the linear range of the instrument. As proven in several different beer matrices, the assay was linear with an average correlation coefficient of 0.998. The limits of detection and quantitation were 2 and 10 mOsmol/kg, so that the sensitivity of the method was judged sufficient to control the isotonic range. The measurement uncertainty expressed as coefficient of variation was less than 1% interday. The applicability of the method was proven by measurement of 86 beer samples. Our study has shown that the cryoscopic method is fit for the purpose to validate claims of isotonicity in food control