24,220 research outputs found
Chemical fractionations in meteorites, 4. Abundances of fourteen trace elements in L-chondrites - Implications for cosmothermometry
Trace element abundances in L-chondrites determined by neutron activation analysis, and implications cosmothermometr
High-energy magnon dispersion and multi-magnon continuum in the two-dimensional Heisenberg antiferromagnet
We use quantum Monte Carlo simulations and numerical analytic continuation to
study high-energy spin excitations in the two-dimensional S=1/2 Heisenberg
antiferromagnet at low temperature. We present results for both the transverse
and longitudinal dynamic spin structure factor S(q,w) at q=(pi,0) and
(pi/2,pi/2). Linear spin-wave theory predicts no dispersion on the line
connecting these momenta. Our calculations show that in fact the magnon energy
at (pi,0) is 10% lower than at (pi/2,pi/2). We also discuss the transverse and
longitudinal multi-magnon continua and their relevance to neutron scattering
experiments.Comment: 4 page
Monte Carlo Study of the Phase Structure of Compact Polymer Chains
We study the phase behavior of single homopolymers in a simple
hydrophobic/hydrophilic off-lattice model with sequence independent local
interactions. The specific heat is, not unexpectedly, found to exhibit a
pronounced peak well below the collapse temperature, signalling a possible
low-temperature phase transition. The system size dependence at this maximum is
investigated both with and without the local interactions, using chains with up
to 50 monomers. The size dependence is found to be weak. The specific heat
itself seems not to diverge. The homopolymer results are compared with those
for two non-uniform sequences. Our calculations are performed using the methods
of simulated and parallel tempering. The performances of these algorithms are
discussed, based on careful tests for a small system.Comment: 13 pages LaTeX, 6 Postscript figures, References adde
Why Development Levels Differ: The Sources of Differential Economic Growth in a Panel of High and Low Income Countries
Average income per capita in the countries of the OECD was more than 20 times larger in 2000 than that of the poorest countries of sub-Sahara Africa and elsewhere, and many of the latter are not only falling behind the world leaders, but have even regressed in recent years. At the same time, other low-income countries have shown the capacity to make dramatic improvements in income per capita. Two general explanations have been offered to account for the observed patterns of growth. One view stresses differences in the efficiency of production are the main source of the observed gap in output per worker. A competing explanation reverses this conclusion and gives primary importance to capital formation. We examine the relative importance of these two factors as an explanation of the gap using 112 countries over the period 1970-2000. We find that differences in the efficiency of production, as measured by relative levels of total factor productivity, are the dominant factor accounting for the difference in development levels. We also find that the gap between rich and most poor nations is likely to persist under prevailing rates of saving and productivity change. To check the robustness of these conclusions, we employ different models of the growth process and different assumptions about the underlying data. Although different models of growth produce different relative contributions of capital formation and TFP, we conclude that the latter is the dominant source of gap. This conclusion must, however, be qualified by the poor quality of data for many developing countries.
Inverse magnetic catalysis and regularization in the quark-meson model
Motivated by recent work on inverse magnetic catalysis at finite temperature,
we study the quark-meson model using both dimensional regularization and a
sharp cutoff. We calculate the critical temperature for the chiral transition
as a function of the Yukawa coupling in the mean-field approximation varying
the renormalization scale and the value of the ultraviolet cutoff. We show that
the results depend sensitively on how one treats the fermionic vacuum
fluctuations in the model and in particular on the regulator used. Finally, we
explore a -dependent transition temperature for the Polyakov loop potential
using the functional renormalization group. These results show that
even arbitrary freedom in the function does not allow for a decreasing
chiral transition temperature as a function of . This is in agreement with
previous mean-field calculations.Comment: 13 pages, 5 figure
Galactic consequences of clustered star formation
If all stars form in clusters and both the stars and the clusters follow a
power law distribution which favours the creation of low mass objects, then the
numerous low mass clusters will be deficient in high mass stars. Therefore, the
mass function of stars, integrated over the whole galaxy (the Integrated
Galactic Initial Mass Function, IGIMF) will be steeper at the high mass end
than the underlying IMF of the stars. We show how the steepness of the IGIMF
depends on the sampling method and on the assumptions made for the star cluster
mass function. We also investigate the O-star content, integrated photometry
and chemical enrichment of galaxies that result from several IGIMFs, as
compared to more standard IMFs.Comment: 4 pages, 2 figures, to appear in online version of Proceedings of IAU
S266, a two page version will appear in the Proceedings of IAU S26
Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop
We use the Polyakov loop coupled quark-meson model to approximate low energy
QCD and present results for the chiral and deconfinement transitions in the
presence of a constant magnetic background at finite temperature and
baryon chemical potential . We investigate effects of various gluoni
potentials on the deconfinement transition with and without a fermionic
backreaction at finite . Additionally we investigate the effect of the
Polyakov loop on the chiral phase transition, finding that magnetic catalysis
at low is present, but weakened by the Polyakov loop.Comment: 17 pages and 8 figs. v2: added ref
Cathodoluminescence of shocked quartz at the Cretaceous-Tertiary boundary
Empirical studies have documented an association between rock type and the cathodoluminescence color of constituent quartz grains. Quartz from extrusive igneous sources luminesces uniform pale blue. Quartz from intrusive igneous and high-grade metamorphic rocks generally luminesces darker purple-blue, whereas quartz recrystallized under low-grade metamorphic conditions luminesces reddish-brown. Quartz grains in most sandstones luminesce a heterogeneous mixture of these colors because the grains were derived from a variety of ultimate source rocks. If shocked quartz found at the Cretaceous-Tertiary (K-T) boundary is volcanic in origin, its cathodoluminescence should be predominantly pale blue. Alternatively, quartz grains derived from bolide impact upon, and ejection of, mixed igneous, metamorphic, and sedimentary rocks should luminesce a variety of colors. Grain mounts of sand collected at the K-T boundary horizon from the Clear Creek North site in the Raton Basin, Colorado were examined. Shocked quartz luminesced a variety of colors and very few grains luminesced the pale blue color that is typical of volcanic quartz. It was concluded that the shocked quartz was derived from a petrologically diverse source region without substantial volcanic contribution. Most shocked grains apparently were derived from low-grade metamorphic rocks, with a slightly smaller contribution from high-grade metamorphic and intrusive igneous rocks. Rare quartz grains with brown-luminescing rims reflect a minor addition from detrital sedimentary sources. The apparent relative abundances of intrusive (and rare extrusive) igneous, metamorphic, and sedimentary ultimate source rocks suggested by CL colors of shock-deformed quartz at the K-T boundary is consistent with a crustal/supracrustal origin for the grains
Computing Groebner Fans
This paper presents algorithms for computing the Groebner fan of an arbitrary
polynomial ideal. The computation involves enumeration of all reduced Groebner
bases of the ideal. Our algorithms are based on a uniform definition of the
Groebner fan that applies to both homogeneous and non-homogeneous ideals and a
proof that this object is a polyhedral complex. We show that the cells of a
Groebner fan can easily be oriented acyclically and with a unique sink,
allowing their enumeration by the memory-less reverse search procedure. The
significance of this follows from the fact that Groebner fans are not always
normal fans of polyhedra in which case reverse search applies automatically.
Computational results using our implementation of these algorithms in the
software package Gfan are included.Comment: 26 page
Longitudinal vortices in a transitioning boundary layer
Naturally occurring spanwise variations of the streamwise velocity component, characteristic of longitudinal vortices embedded in a transitioning boundary layer were explored using hot-wire anemometers. A vibrating ribbon introduced stable or unstable Tollmien-Schlichting waves into the laminar boundary layer. These damped or growing disturbances always developed a strong three dimensional pattern even though no spanwise perturbations were artificially induced. Changing the radius of the leading edge and other modifications to the flat plate, wind tunnel and boundary layer did not alter the spanwise wavelength of the vortices
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