1,184 research outputs found
Topology Change in (2+1)-Dimensional Gravity
In (2+1)-dimensional general relativity, the path integral for a manifold
can be expressed in terms of a topological invariant, the Ray-Singer torsion of
a flat bundle over . For some manifolds, this makes an explicit computation
of transition amplitudes possible. In this paper, we evaluate the amplitude for
a simple topology-changing process. We show that certain amplitudes for spatial
topology change are nonvanishing---in fact, they can be infrared
divergent---but that they are infinitely suppressed relative to similar
topology-preserving amplitudes.Comment: 19 pages of text plus 4 pages of figures, LaTeX (using epsf),
UCD-11-9
Superconductor-Ferromagnet Bi-Layers: a Comparison of s-Wave and d-Wave Order Parameters
We study superconductor-ferromagnet bi-layers, not only for s-wave but also
for d-wave superconductors. We observe oscillations of the critical temperature
when varying the thickness of the ferromagnetic layer for both s-wave and
d-wave superconductors. However, for a rotated d-wave order parameter the
critical temperature differs considerably from that for the unrotated case. In
addition we calculate the density of states for different thicknesses of the
ferromagnetic layer; the results reflect the oscillatory behaviour of the
superconducting correlations.Comment: 11 pages, 5 figures, accepted for publication in J. Phys.: Condens.
Matte
Optimal time-domain combination of the two calibrated output quadratures of GEO 600
GEO 600 is an interferometric gravitational wave detector with a 600 m arm-length and which uses a dual-recycled optical configuration to give enhanced sensitivity over certain frequencies in the detection band. Due to the dual-recycling, GEO 600 has two main output signals, both of which potentially contain gravitational wave signals. These two outputs are calibrated to strain using a time-domain method. In order to simplify the analysis of the GEO 600 data set, it is desirable to combine these two calibrated outputs to form a single strain signal that has optimal signal-to-noise ratio across the detection band. This paper describes a time-domain method for doing this combination. The method presented is similar to one developed for optimally combining the outputs of two colocated gravitational wave detectors. In the scheme presented in this paper, some simplifications are made to allow its implementation using time-domain methods
Journalist-source relations and the deliberative system: A network performance approach to investigating journalism’s contribution to facilitating public deliberation in a globalized world
This is the author accepted manuscript. The final version is available from SAGE Publications via the DOI in this record.Journalist-source relationships and interactions are interpreted in this study as crucial
mechanisms for linking different arenas in a deliberative system. To unravel these
source networks, 106 semi-standardized interviews with journalists as well as PR
professionals from government delegations and NGOs were conducted on-site three UN
climate change conferences between 2010 and 2013, and an online survey was
administered during the conference in 2015. The analysis shows that most journalists
maintain close relationships with their home country delegation. However, journalists
experienced in climate conference coverage also maintain more direct and informal
relations to delegations from other countries and to NGOs while less experienced
journalists exhibit loose and more formally mediated relationship to these actors.
Moreover, journalists focusing on commentary rather than on event-related reporting
have the most variegated and informal networks, thus opening the deliberative system to
diverse perspectives and unknown voices more than others. Government delegations
vary strongly in their tendency to approach journalists while environmental NGOs
interact with journalists primarily to attract media attention in order to indirectly
influence decision makers in national delegations
Lower algebraic K-theory of certain reflection groups
For a finite volume geodesic polyhedron P in hyperbolic 3-space, with the
property that all interior angles between incident faces are integral
submultiples of Pi, there is a naturally associated Coxeter group generated by
reflections in the faces. Furthermore, this Coxeter group is a lattice inside
the isometry group of hyperbolic 3-space, with fundamental domain the original
polyhedron P. In this paper, we provide a procedure for computing the lower
algebraic K-theory of the integral group ring of such Coxeter lattices in terms
of the geometry of the polyhedron P. As an ingredient in the computation, we
explicitly calculate some of the lower K-groups of the dihedral groups and the
product of dihedral groups with the cyclic group of order two.Comment: 35 pages, 2 figure
Analysis of a four-mirror cavity enhanced Michelson interferometer
We investigate the shot noise limited sensitivity of a four-mirror cavity
enhanced Michelson interferometer. The intention of this interferometer
topology is the reduction of thermal lensing and the impact of the
interferometers contrast although transmissive optics are used with high
circulating powers. The analytical expressions describing the light fields and
the frequency response are derived. Although the parameter space has 11
dimensions, a detailed analysis of the resonance feature gives boundary
conditions allowing systematic parameter studies
Multiscale reconstruction of time series
A new method is proposed which allows a reconstruction of time series based
on higher order multiscale statistics given by a hierarchical process. This
method is able to model the time series not only on a specific scale but for a
range of scales. It is possible to generate complete new time series, or to
model the next steps for a given sequence of data. The method itself is based
on the joint probability density which can be extracted directly from given
data, thus no estimation of parameters is necessary. The results of this
approach are shown for a real world dataset, namely for turbulence. The
unconditional and conditional probability densities of the original and
reconstructed time series are compared and the ability to reproduce both is
demonstrated. Therefore in the case of Markov properties the method proposed
here is able to generate artificial time series with correct n-point
statistics.Comment: 4 pages, 3 figure
Effects of non-resonant interaction in ensembles of phase oscillators
We consider general properties of groups of interacting oscillators, for
which the natural frequencies are not in resonance. Such groups interact via
non-oscillating collective variables like the amplitudes of the order
parameters defined for each group. We treat the phase dynamics of the groups
using the Ott-Antonsen ansatz and reduce it to a system of coupled equations
for the order parameters. We describe different regimes of co-synchrony in the
groups. For a large number of groups, heteroclinic cycles, corresponding to a
sequental synchronous activity of groups, and chaotic states, where the order
parameters oscillate irregularly, are possible.Comment: 21 pages, 7 fig
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