Speeding up simulations of relativistic systems using an optimal boosted frame

It can be computationally advantageous to perform computer simulations in a Lorentz boosted frame for a certain class of systems. However, even if the computer model relies on a covariant set of equations, it has been pointed out that algorithmic difficulties related to discretization errors may have to be overcome in order to take full advantage of the potential speedup. We summarize the findings, the difficulties and their solutions, and show that the technique enables simulations important to several areas of accelerator physics that are otherwise problematic, including self-consistent modeling in three-dimensions of laser wakefield accelerator stages at energies of 10 GeV and above.Comment: To be published in the proceedings of DPF-2009, Detroit, MI, July 2009, eConf C09072

On the Injection Energy Distibution of Ultra-High-Energy Cosmic Rays

We investigate the injection spectrum of ultra-high-energy (>10^{15} eV) cosmic rays under the hypotheses that (1) these cosmic rays are protons and (2) the sources of these cosmic rays are extra-galactic and are homogeneously distributed in space. The most puzzling aspect of the observed ultra-high-energy cosmic ray spectrum is the apparent nonexistence of a ``Greisen cut-off'' at about 10^{19.8} eV. We show that this fact could be naturally explained if most (or all) of the cosmic rays presently observed above about 10^{19.6} eV were initially injected with energy above the Greisen cut-off. However, we find that the injection of cosmic rays above the Greisen cut-off cannot account for the observed flux below about 10^{19.6} eV unless the injection rate of these particles was enormously higher in the past, as would be the case if the injection resulted from the decay of an ultra-massive particle with lifetime of order 10^{9} yr. Even with such a rapid source evolution, the observed cosmic ray spectrum below about 10^{18.5} eV cannot be explained in this manner. However, we show that a 1/E^3 injection spectrum can account for the observed spectrum below 10^{18.5} eV}, with the steepening observed by the Fly's Eye group between 10^{17.6} eV and 10^{18.5} eV being very naturally explained by e+ - e- production effects. This latter fact lends support to the hypothesis that the cosmic rays in this energy regime are protons. However, due to e+ - e- production effects, a 1/E^3 injection spectrum cannot account for the observed flux above about 10^{18.5} eV.Comment: 23 pages, REVTeX, 5 Postscript figures available by anonymous FTP at ftp://rainbow.uchicago.edu/pub/relativity/cosmicray

Characterization of the Oscillometric Method for Measuring Indirect Blood Pressure

In this study, human subjects and dogs were used to determine the ability of the oscillometric method to indicate systolic and diastolic pressure. In the human studies, the auscultatory method was used as the reference. In the animal studies, directly recorded blood pressure was used as the reference. The ability of the sudden increase in cuff pressure oscillations during cuff deflation to indicate systolic pressure was examined and found to overestimate systolic pressure slightly in man, but more in animals. Systolic pressure was encountered when the cuff pressure oscillations were about one half of their maximum amplitude. However, in both man and animals the ratio was not constant; although the range was less in man than in animals. Diastolic pressure was encountered when cuff pressure oscillation amplitude was about 0.8 of the maximal amplitude. This ratio for diastolic pressure was not constant over a range of diastolic pressure. The range of variability was less for man than for the dog

TB58: Further Evaluation of Entomogenous Fungi as a Biological Agent of Aphid Control in Northeastern Maine

An intensive survey and study were made each year from 1952 through 1962 to determine seasonal abundance of living and dead diseased aphids by species on potatoes and to collect many of the infected specimens for exact diagnosis. Results of the study disclosed that the action of entomogenous fungi was outstanding in reducing the size of aphid populations on potatoes. This technical bulletin reports on the results of the continuance of the study from 1963 through 1969. However, the collection of dead, diseased aphids throughout the summer was done only from 1963 through 1966 ; thereafter, diagnosis was limited to dead, diseased specimens intensively collected from potatoes during a 1-week period when fungal activity was greatest. This was usually in mid-August, near the seasonal peak of aphid abundance on potatoes not treated with insecticides.https://digitalcommons.library.umaine.edu/aes_techbulletin/1131/thumbnail.jp

Iterated Binomial Sums and their Associated Iterated Integrals

We consider finite iterated generalized harmonic sums weighted by the binomial $\binom{2k}{k}$ in numerators and denominators. A large class of these functions emerges in the calculation of massive Feynman diagrams with local operator insertions starting at 3-loop order in the coupling constant and extends the classes of the nested harmonic, generalized harmonic and cyclotomic sums. The binomially weighted sums are associated by the Mellin transform to iterated integrals over square-root valued alphabets. The values of the sums for $N \rightarrow \infty$ and the iterated integrals at $x=1$ lead to new constants, extending the set of special numbers given by the multiple zeta values, the cyclotomic zeta values and special constants which emerge in the limit $N \rightarrow \infty$ of generalized harmonic sums. We develop algorithms to obtain the Mellin representations of these sums in a systematic way. They are of importance for the derivation of the asymptotic expansion of these sums and their analytic continuation to $N \in \mathbb{C}$. The associated convolution relations are derived for real parameters and can therefore be used in a wider context, as e.g. for multi-scale processes. We also derive algorithms to transform iterated integrals over root-valued alphabets into binomial sums. Using generating functions we study a few aspects of infinite (inverse) binomial sums.Comment: 62 pages Latex, 1 style fil

In the shadow of fortress Europe? Impacts of European migration governance on Slovenia, Croatia and Macedonia

This article analyses European integration's effects on migration and border security governance in Slovenia, Croatia and Macedonia in the context of ‘governed interdependence’. We show how transgovernmental networks comprising national and EU actors, plus a range of other participants, blur the distinction between the domestic and international to enable interactions between domestic and international policy elites that transmit EU priorities into national policy. Governments are shown to be ‘willing pupils’ and ‘policy takers’, adapting to EU policy as a pre-condition for membership. This strengthened rather than weakened central state actors, particularly interior ministries. Thus, in a quintessentially ‘national’ policy area, there has been a re-scaling and re-constitution of migration and border security policy. To support this analysis, social network analysis is used to outline the composition of governance networks and analyse interactions and power relations therein