Mean field limit for Bosons with compact kernels interactions by Wigner measures transportation

We consider a class of many-body Hamiltonians composed of a free (kinetic) part and a multi-particle (potential) interaction with a compactness assumption on the latter part. We investigate the mean field limit of such quantum systems following the Wigner measures approach. We prove the propagation of these measures along the flow of a nonlinear (Hartree) field equation. This enhances and complements some previous results in the subject.Comment: 27 pages. arXiv admin note: text overlap with arXiv:1111.5918 by other author

Non-Cold Dark Matter from Primordial Black Hole Evaporation

Dark matter coupled solely gravitationally can be produced through the decay of primordial black holes in the early universe. If the dark matter is lighter than the initial black hole temperature, it could be warm enough to be subject to structure formation constraints. In this paper we perform a more precise determination of these constraints. We first evaluate the dark matter phase-space distribution, without relying on the instantaneous decay approximation. We then interface this phase-space distribution with the Boltzmann code CLASS to extract the corresponding matter power spectrum, which we find to match closely those of warm dark matter models, albeit with a different dark matter mass. This mapping allows us to extract constraints from Lyman-$\alpha$ data without the need to perform hydrodynamical simulations. We robustly rule out the possibility, consistent with previous analytic estimates, of primordial black holes having come to dominate the energy density of the universe and simultaneously given rise to all the DM through their decay. Consequences and implications for dark radiation and leptogenesis are also briefly discussed.Comment: 33 pages, 4 figure

Thalassorama: Marketing Extension and Outreach in Sinaloa, Mexico: A Preliminary Analysis of Preferences for Oysters

Marketing, oyster preferences, Mexico, Agribusiness, Agricultural and Food Policy, Consumer/Household Economics, Crop Production/Industries, International Development, International Relations/Trade, Research Methods/ Statistical Methods, Teaching/Communication/Extension/Profession, M30, M39,

Concurrent Geometric Multicasting

We present MCFR, a multicasting concurrent face routing algorithm that uses geometric routing to deliver a message from source to multiple targets. We describe the algorithm's operation, prove it correct, estimate its performance bounds and evaluate its performance using simulation. Our estimate shows that MCFR is the first geometric multicast routing algorithm whose message delivery latency is independent of network size and only proportional to the distance between the source and the targets. Our simulation indicates that MCFR has significantly better reliability than existing algorithms

Does The "Spiders" Market Attract Uninformed Trading Volume?

The trading volume of Standard and Poor’s Depository Receipts (SPDRs) - or Spiders - has grown consistently since the inception of trading in 1993.  Theoretical models have predicted that the Spiders market would attract trading volume from uninformed traders because their losses due to adverse trades with informed traders would usually be lower in this market than in individual security markets.  As an extension of the modified mixture distribution hypothesis model proposed by Andersen (1996), this study applies the estimated parameters from the generalized method of moments to derive the percentage trading volume of SPDRs attributable to uninformed trades.  Using ninety securities selected from the S&P 500 index as benchmark stocks for comparison, we find that the Spiders market indeed attracts a relatively higher percentage of trading volume from uninformed traders

Paramutation-like features of multiple natural epialleles in tomato.

BACKGROUND: Freakish and rare or the tip of the iceberg? Both phrases have been used to refer to paramutation, an epigenetic drive that contravenes Mendel's first law of segregation. Although its underlying mechanisms are beginning to unravel, its understanding relies only on a few examples that may involve transgenes or artificially generated epialleles. RESULTS: By using DNA methylation of introgression lines as an indication of past paramutation, we reveal that the paramutation-like properties of the H06 locus in hybrids of Solanum lycopersicum and a range of tomato relatives and cultivars depend on the timing of sRNA production and conform to an RNA-directed mechanism. In addition, by scanning the methylomes of tomato introgression lines for shared regions of differential methylation that are absent in the S. lycopersicum parent, we identify thousands of candidate regions for paramutation-like behaviour. The methylation patterns for a subset of these regions segregate with non Mendelian ratios, consistent with secondary paramutation-like interactions to variable extents depending on the locus. CONCLUSION: Together these results demonstrate that paramutation-like epigenetic interactions are common for natural epialleles in tomato, but vary in timing and penetrance

Time-delay and Doppler tests of the Lorentz symmetry of gravity

Modifications to the classic time-delay effect and Doppler shift in General Relativity (GR) are studied in the context of the Lorentz-violating Standard-Model Extension (SME). We derive the leading Lorentz-violating corrections to the time-delay and Doppler shift signals, for a light ray passing near a massive body. It is demonstrated that anisotropic coefficients for Lorentz violation control a time-dependent behavior of these signals that is qualitatively different from the conventional case in GR. Estimates of sensitivities to gravity-sector coefficients in the SME are given for current and future experiments, including the recent Cassini solar conjunction experiment.Comment: 13 pages, 4 figures, references added, matches PRD versio

Full-PIC Simulation of an ECR Plasma Thruster with Magnetic Nozzle

International audienceA coaxial ECR thruster is simulated using a 1D3V electromagnetic Particle-In-Cell code coupled to a Monte-Carlo Collision module. The goal is to get a better understanding of the physical behavior of the thruster, in particular the wave absorptionmechanism. For this purpose a non-dissipative wave solver is used, based on the Linear Bicharacteristic Scheme. The PIC model is used to run a parametric analysis of some simulation factors. The tendencies found in the simulation are in line with previous experimental results. This tools will be used to improve our understanding of the basic phenomena in the thruster and guide future modeling effort in 2D and 3D