9,367 research outputs found
Simultaneous Kummer congruences and -orientations of KO and tmf
Building on results of M. Ando, M.J. Hopkins and C. Rezk, we show the
existence of uncountably many -String orientations of real
K-theory KO and of topological modular forms tmf, generalizing the -
(resp. the Witten) genus. Furthermore, the obstruction to lifting an
-String orientations from KO to tmf is identified with a
classical Iwasawa-theoretic condition. The common key to all these results is a
precise understanding of the classical Kummer congruences, imposed for all
primes simultaneously. This result is of independent arithmetic interest.Comment: final versio
Reconstruction methods for acoustic particle detection in the deep sea using clusters of hydrophones
This article focuses on techniques for acoustic noise reduction, signal
filters and source reconstruction. For noise reduction, bandpass filters and
cross correlations are found to be efficient and fast ways to improve the
signal to noise ratio and identify a possible neutrino-induced acoustic signal.
The reconstruction of the position of an acoustic point source in the sea is
performed by using small-volume clusters of hydrophones (about 1 cubic meter)
for direction reconstruction by a beamforming algorithm. The directional
information from a number of such clusters allows for position reconstruction.
The algorithms for data filtering, direction and position reconstruction are
explained and demonstrated using simulated data.Comment: 7 pages, 13 figure
On the search for the chiral anomaly in Weyl semimetals: The negative longitudinal magnetoresistance
Recently, the existence of massless chiral (Weyl) fermions has been
postulated in a class of semi-metals with a non-trivial energy dispersion.These
materials are now commonly dubbed Weyl semi-metals (WSM).One predicted property
of Weyl fermions is the chiral or Adler-Bell-Jackiw anomaly, a chirality
imbalance in the presence of parallel magnetic and electric fields. In WSM, it
is expected to induce a negative longitudinal magnetoresistance (NMR), the
chiral magnetic effect.Here, we present experimental evidence that the
observation of the chiral magnetic effect can be hindered by an effect called
"current jetting". This effect also leads to a strong apparent NMR, but it is
characterized by a highly non-uniform current distribution inside the sample.
It appears in materials possessing a large field-induced anisotropy of the
resistivity tensor, such as almost compensated high-mobility semimetals due to
the orbital effect.In case of a non-homogeneous current injection, the
potential distribution is strongly distorted in the sample.As a consequence, an
experimentally measured potential difference is not proportional to the
intrinsic resistance.Our results on the MR of the WSM candidate materials NbP,
NbAs, TaAs, TaP exhibit distinct signatures of an inhomogeneous current
distribution, such as a field-induced "zero resistance' and a strong dependence
of the `measured resistance" on the position, shape, and type of the voltage
and current contacts on the sample. A misalignment between the current and the
magnetic-field directions can even induce a "negative resistance".
Finite-element simulations of the potential distribution inside the sample,
using typical resistance anisotropies, are in good agreement with the
experimental findings. Our study demonstrates that great care must be taken
before interpreting measurements of a NMR as evidence for the chiral anomaly in
putative Weyl semimetals.Comment: 13 pages, 6 figure
Constraints on a hadronic model for unidentified off-plane galactic gamma-ray sources
Recently the H.E.S.S. collaboration announced the detection of an
unidentified gamma-ray source with an off-set from the galactic plane of 3.5
degrees: HESS J1507-622. If the distance of the object is larger than about one
kpc it would be physically located outside the galactic disk. The density
profile of the ISM perpendicular to the galactic plane, which acts as target
material for hadronic gamma-ray production, drops quite fast with increasing
distance. This fact places distance dependent constraints on the energetics and
properties of off-plane gamma-ray sources like HESS J1507-622 if a hadronic
origin of the gamma-ray emission is assumed. For the case of this source it is
found that there seems to be no simple way to link this object to the remnant
of a stellar explosions.Comment: 11 pages, 4 figures, accepted for publication in AdSp
The heats of combustion of some rare-earth metals
A bomb calorimeter for measuring the heats of combustion of neodymium, samarium, gadolinium and erbium is described. The heats of combustion of these metals and the heats of formation of their oxides are reported
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