Viscoelastic impact between a cylindrical striker and a long cylindrical bar

International audienceAxial impact between a cylindrical striker of finite length and a long cylindrical bar, both of linearly viscoelastic materials, is considered under uni-axial conditions. General results are derived for the impact force, the particle velocity and the strain in the bar in terms of closed-contour integrals suitable for numerical evaluation. Such results are derived also for the transfer of momentum and energy from the striker to the bar. Numerical results for elastic and viscoelastic impact of a striker and a bar with different cross-sectional areas are compared. In viscoelastic impact, unlike elastic impact, the duration of impact may be finite but larger than two transit times for a wave front through the striker due to the for-mation of a tail after the main pulse. Furthermore, repeated contacts and separations of the striker and the bar may occur within a range of striker-to bar characteristic impedance ratios smaller than one. In viscoelastic impact, the duration of impact is at least as long and the momentum and energy transferred are at most as large as in elastic impact. Strains measured at three locations of a PMMA bar impacted by PMMA strikers of three different lengths agree well with the theoretical results

Putting evolutionary biology back in the ecological theatre: a demographic framework mapping genes to communities

Question: How can we link genotypic, phenotypic, individual, population, and community levels of organization so as to illuminate general ecological and evolutionary processes and provide a framework for a quantitative, integrative evolutionary biology? Framework: We introduce an evolutionary framework that maps different levels of biological diversity onto one another. We provide (1) an overview of maps linking levels of biological organization and (2) a guideline of how to analyse the complexity of relationships from genes to population growth. Method: We specify the appropriate levels of biological organization for responses to selection, for opportunities for selection, and for selection itself. We map between them and embed these maps into an ecological setting

Biodiversity and species interactions: extending Lotka-Volterra community theory

A new analysis of the nearly century-old Lotka-Volterra theory allows us to link species interactions to biodiversity patterns, including: species abundance distributions, estimates of total community size, patterns of community invasibility, and predicted responses to disturbance. Based on a few restrictive assumptions about species interactions, our calculations require only that the community is sufficiently large to allow a mean-field approximation. We develop this analysis to show how an initial assemblage of species with varying interaction strengths is predicted to sort out into the final community based on the species' predicted target densities. The sorting process yields predictions of covarying patterns of species abundance, community size, and species interaction strengths. These predictions can be tested using enrichment experiments, examination of latitudinal and productivity gradients, and features of community assembly

Time ordering and counting statistics

The basic quantum mechanical relation between fluctuations of transported charge and current correlators is discussed. It is found that, as a rule, the correlators are to be time-ordered in an unusual way. Instances where the difference with the conventional ordering matters are illustrated by means of a simple scattering model. We apply the results to resolve a discrepancy concerning the third cumulant of charge transport across a quantum point contact.Comment: 19 pages, 1 figure; inconsequential mistake and typos correcte

Experiment Simulation Configurations Used in DUNE CDR

The LBNF/DUNE CDR describes the proposed physics program and experimental design at the conceptual design phase. Volume 2, entitled The Physics Program for DUNE at LBNF, outlines the scientific objectives and describes the physics studies that the DUNE collaboration will perform to address these objectives. The long-baseline physics sensitivity calculations presented in the DUNE CDR rely upon simulation of the neutrino beam line, simulation of neutrino interactions in the far detector, and a parameterized analysis of detector performance and systematic uncertainty. The purpose of this posting is to provide the results of these simulations to the community to facilitate phenomenological studies of long-baseline oscillation at LBNF/DUNE. Additionally, this posting includes GDML of the DUNE single-phase far detector for use in simulations. DUNE welcomes those interested in performing this work as members of the collaboration, but also recognizes the benefit of making these configurations readily available to the wider community.Comment: 9 pages, 4 figures, configurations in ancillary file