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706.3314
|
Structure of W3(OH) from Very High Spectral Resolution Observations of 5
Centimeter OH Masers
|
Recent studies of methanol and ground-state OH masers at very high spectral
resolution have shed new light on small-scale maser processes. The nearby
source W3(OH), which contains numerous bright masers in several different
transitions, provides an excellent laboratory for high spectral resolution
techniques. We present a model of W3(OH) based on EVN observations of the
rotationally-excited 6030 and 6035 MHz OH masers taken at 0.024 km/s spectral
resolution. The 6.0 GHz masers are becoming brighter with time and show
evidence for tangential proper motions. We confirm the existence of a region of
magnetic field oriented toward the observer to the southeast and find another
such region to the northeast in W3(OH), near the champagne flow. The 6.0 GHz
masers trace the inner edge of a counterclockwise rotating torus feature.
Masers at 6030 MHz are usually a factor of a few weaker than at 6035 MHz but
trace the same material. Velocity gradients of nearby Zeeman components are
much more closely correlated than in the ground state, likely due to the
smaller spatial separation between Zeeman components. Hydroxyl maser peaks at
very long baseline interferometric resolution appear to have structure on
scales both smaller than that resolvable as well as on larger scales.
|
astro-ph
|
recent studies of methanol and groundstate oh masers at very high spectral resolution have shed new light on smallscale maser processes the nearby source w3oh which contains numerous bright masers in several different transitions provides an excellent laboratory for high spectral resolution techniques we present a model of w3oh based on evn observations of the rotationallyexcited 6030 and 6035 mhz oh masers taken at 0024 kms spectral resolution the 60 ghz masers are becoming brighter with time and show evidence for tangential proper motions we confirm the existence of a region of magnetic field oriented toward the observer to the southeast and find another such region to the northeast in w3oh near the champagne flow the 60 ghz masers trace the inner edge of a counterclockwise rotating torus feature masers at 6030 mhz are usually a factor of a few weaker than at 6035 mhz but trace the same material velocity gradients of nearby zeeman components are much more closely correlated than in the ground state likely due to the smaller spatial separation between zeeman components hydroxyl maser peaks at very long baseline interferometric resolution appear to have structure on scales both smaller than that resolvable as well as on larger scales
|
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|
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|
706.3315
|
pi0 Fixed pT suppression and elliptic flow at LHC
|
Using a final state interaction model which describes the data on these two
observables, at RHIC, we make predictions at the LHC -- using the same
cross-section and pT-shift. The increase in the medium density between these
two energies (by a factor close to three) produces an increase of the fixed pT
pi0 suppression by a factor 2 at large pT and of v2 by a factor 1.5.
|
hep-ph
|
using a final state interaction model which describes the data on these two observables at rhic we make predictions at the lhc using the same crosssection and ptshift the increase in the medium density between these two energies by a factor close to three produces an increase of the fixed pt pi0 suppression by a factor 2 at large pt and of v2 by a factor 15
|
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|
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|
706.3316
|
Hadron beam test of a scintillating fibre tracker system for elastic
scattering and luminosity measurement in ATLAS
|
A scintillating fibre tracker is proposed to measure elastic proton
scattering at very small angles in the ATLAS experiment at CERN. The tracker
will be located in so-called Roman Pot units at a distance of 240 m on each
side of the ATLAS interaction point. An initial validation of the design
choices was achieved in a beam test at DESY in a relatively low energy electron
beam and using slow off-the-shelf electronics. Here we report on the results
from a second beam test experiment carried out at CERN, where new detector
prototypes were tested in a high energy hadron beam, using the first version of
the custom designed front-end electronics. The results show an adequate
tracking performance under conditions which are similar to the situation at the
LHC. In addition, the alignment method using so-called overlap detectors was
studied and shown to have the expected precision.
|
physics.ins-det
|
a scintillating fibre tracker is proposed to measure elastic proton scattering at very small angles in the atlas experiment at cern the tracker will be located in socalled roman pot units at a distance of 240 m on each side of the atlas interaction point an initial validation of the design choices was achieved in a beam test at desy in a relatively low energy electron beam and using slow offtheshelf electronics here we report on the results from a second beam test experiment carried out at cern where new detector prototypes were tested in a high energy hadron beam using the first version of the custom designed frontend electronics the results show an adequate tracking performance under conditions which are similar to the situation at the lhc in addition the alignment method using socalled overlap detectors was studied and shown to have the expected precision
|
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|
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|
706.3317
|
Detecting phase synchronization by localized maps: Application to neural
networks
|
We present an approach which enables to state about the existence of phase
synchronization in coupled chaotic oscillators without having to measure the
phase. This is done by observing the oscillators at special times, and
analyzing whether this set of points is localized. In particular, we show that
this approach is fruitful to analyze the onset of phase synchronization in
chaotic attractors whose phases are not well defined, as well as, in networks
of non-identical spiking/bursting neurons connected by chemical synapses.
|
cond-mat.stat-mech cond-mat.other
|
we present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase this is done by observing the oscillators at special times and analyzing whether this set of points is localized in particular we show that this approach is fruitful to analyze the onset of phase synchronization in chaotic attractors whose phases are not well defined as well as in networks of nonidentical spikingbursting neurons connected by chemical synapses
|
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|
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|
706.3318
|
Invariance of Gamma-dimension for projective families
|
This article is withdrawn because of a mistake in the main result of the
paper.
|
math.AG math.CV
|
this article is withdrawn because of a mistake in the main result of the paper
|
[['this', 'article', 'is', 'withdrawn', 'because', 'of', 'a', 'mistake', 'in', 'the', 'main', 'result', 'of', 'the', 'paper']]
|
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|
706.3319
|
On the Photon Mass
|
We review the case for the photon having a tiny mass compatible with the
experimental limits. We go over some possible experimental tests for such a
photon mass including the violation of Lorentz symmetry. We point out that such
violations may already have been witnessed in tests involving high energy gamma
rays from outer space as also ultra high energy cosmic rays.
|
physics.gen-ph
|
we review the case for the photon having a tiny mass compatible with the experimental limits we go over some possible experimental tests for such a photon mass including the violation of lorentz symmetry we point out that such violations may already have been witnessed in tests involving high energy gamma rays from outer space as also ultra high energy cosmic rays
|
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|
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|
706.332
|
General Framework for phase synchronization through localized sets
|
We present an approach which enables to identify phase synchronization in
coupled chaotic oscillators without having to explicitly measure the phase. We
show that if one defines a typical event in one oscillator and then observes
another one whenever this event occurs, these observations give rise to a
localized set. Our result provides a general and easy way to identify PS, which
can also be used to oscillators that possess multiple time scales. We
illustrate our approach in networks of chemically coupled neurons. We show that
clusters of phase synchronous neurons may emerge before the onset of phase
synchronization in the whole network, producing a suitable environment for
information exchanging. Furthermore, we show the relation between the localized
sets and the amount of information that coupled chaotic oscillator can
exchange.
|
cond-mat.stat-mech
|
we present an approach which enables to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase we show that if one defines a typical event in one oscillator and then observes another one whenever this event occurs these observations give rise to a localized set our result provides a general and easy way to identify ps which can also be used to oscillators that possess multiple time scales we illustrate our approach in networks of chemically coupled neurons we show that clusters of phase synchronous neurons may emerge before the onset of phase synchronization in the whole network producing a suitable environment for information exchanging furthermore we show the relation between the localized sets and the amount of information that coupled chaotic oscillator can exchange
|
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|
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|
706.3321
|
Elastoplastic model for the dynamics of solid-solid transformations :
role of non-affine deformation in microstructure selection
|
We study the nucleation dynamics of a model solid state transformation and
the criterion for microstructure selection using a molecular dynamics (MD)
simulation. Our simulations show a range of microstructures depending on the
depth of quench. We closely follow the dynamics of the solid and find that
transient {\em non-affine zones} (NAZ) are created at and evolve with the
rapidly moving transformation front. The dynamics of these plastic regions
determines the selection of microstructure. We formulate an {\it elastoplastic
model} which couples the elastic strain to the non-affine deformation, and
recover all the qualitative features of the MD simulation. Using this model, we
construct a dynamical phase diagram for microstructure selection, in addition
to making definite testable predictions.
|
cond-mat.mtrl-sci
|
we study the nucleation dynamics of a model solid state transformation and the criterion for microstructure selection using a molecular dynamics md simulation our simulations show a range of microstructures depending on the depth of quench we closely follow the dynamics of the solid and find that transient em nonaffine zones naz are created at and evolve with the rapidly moving transformation front the dynamics of these plastic regions determines the selection of microstructure we formulate an it elastoplastic model which couples the elastic strain to the nonaffine deformation and recover all the qualitative features of the md simulation using this model we construct a dynamical phase diagram for microstructure selection in addition to making definite testable predictions
|
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|
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|
706.3322
|
Distance distribution in random graphs and application to networks
exploration
|
We consider the problem of determining the proportion of edges that are
discovered in an Erdos-Renyi graph when one constructs all shortest paths from
a given source node to all other nodes. This problem is equivalent to the one
of determining the proportion of edges connecting nodes that are at identical
distance from the source node. The evolution of this quantity with the
probability of existence of the edges exhibits intriguing oscillatory behavior.
In order to perform our analysis, we introduce a new way of computing the
distribution of distances between nodes. Our method outperforms previous
similar analyses and leads to estimates that coincide remarkably well with
numerical simulations. It allows us to characterize the phase transitions
appearing when the connectivity probability varies.
|
cond-mat.stat-mech cond-mat.dis-nn
|
we consider the problem of determining the proportion of edges that are discovered in an erdosrenyi graph when one constructs all shortest paths from a given source node to all other nodes this problem is equivalent to the one of determining the proportion of edges connecting nodes that are at identical distance from the source node the evolution of this quantity with the probability of existence of the edges exhibits intriguing oscillatory behavior in order to perform our analysis we introduce a new way of computing the distribution of distances between nodes our method outperforms previous similar analyses and leads to estimates that coincide remarkably well with numerical simulations it allows us to characterize the phase transitions appearing when the connectivity probability varies
|
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|
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|
706.3323
|
Onset of Phase Synchronization in Neurons Conneted via Chemical Synapses
|
We study the onset of synchronous states in realistic chaotic neurons coupled
by mutually inhibitory chemical synapses. For the realistic parameters, namely
the synaptic strength and the intrinsic current, this synapse introduces
non-coherences in the neuronal dynamics, yet allowing for chaotic phase
synchronization in a large range of parameters. As we increase the synaptic
strength, the neurons undergo to a periodic state, and no chaotic complete
synchronization is found.
|
cond-mat.stat-mech
|
we study the onset of synchronous states in realistic chaotic neurons coupled by mutually inhibitory chemical synapses for the realistic parameters namely the synaptic strength and the intrinsic current this synapse introduces noncoherences in the neuronal dynamics yet allowing for chaotic phase synchronization in a large range of parameters as we increase the synaptic strength the neurons undergo to a periodic state and no chaotic complete synchronization is found
|
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|
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|
706.3324
|
Network Mutual Information and Synchronization under Time
Transformations
|
We investigate the effect of general time transformations on the phase
synchronization (PS) phenomenon and the mutual information rate (MIR) between
pairs of nodes in dynamical networks. We demonstrate two important results
concerning the invariance of both PS and the MIR. Under time transformations PS
can neither be introduced nor destroyed and the MIR cannot be raised from zero.
On the other hand, for proper time transformations the timing between the
cycles of the coupled oscillators can be largely improved. Finally, we discuss
the relevance of our findings for communication in dynamical networks.
|
cond-mat.stat-mech
|
we investigate the effect of general time transformations on the phase synchronization ps phenomenon and the mutual information rate mir between pairs of nodes in dynamical networks we demonstrate two important results concerning the invariance of both ps and the mir under time transformations ps can neither be introduced nor destroyed and the mir cannot be raised from zero on the other hand for proper time transformations the timing between the cycles of the coupled oscillators can be largely improved finally we discuss the relevance of our findings for communication in dynamical networks
|
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|
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|
706.3325
|
Global Bifurcation Destroying The Experimental Torus T2
|
We show experimentally the scenario of a two-frequency torus $T^2$ breakdown,
in which a global bifurcation occurs due to the collision of a torus with an
unstable periodic orbit, creating a heteroclinic saddle connection, followed by
an intermittent behavior.
|
nlin.CD
|
we show experimentally the scenario of a twofrequency torus t2 breakdown in which a global bifurcation occurs due to the collision of a torus with an unstable periodic orbit creating a heteroclinic saddle connection followed by an intermittent behavior
|
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|
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|
706.3326
|
Three-qubit pure-state canonical forms for Perfect Teleportation
|
Recently, Agrawal and Pati [Phys. Rev. A 74, 062320 (2006)] have given a
class of W-states that can be used for perfect teleportation. Here, two
canonical forms of perfect quantum channel are presented by transformation
operator and the GHZ state and the W state are special case of those two
canonical forms of perfect quantum channel. Furthermore, the orthogonal
complete measurement bases are given.
|
quant-ph
|
recently agrawal and pati phys rev a 74 062320 2006 have given a class of wstates that can be used for perfect teleportation here two canonical forms of perfect quantum channel are presented by transformation operator and the ghz state and the w state are special case of those two canonical forms of perfect quantum channel furthermore the orthogonal complete measurement bases are given
|
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|
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|
706.3327
|
Analytical Bethe Ansatz for closed and open gl(M|N) super-spin chains in
arbitrary representations and for any Dynkin diagram
|
We present the analytical Bethe ansatz for spin chains based on the
superalgebras gl(M|N), $M\neq N$, with at each site an arbitrary representation
(and including inhomogeneities).
The calculation is done for closed and open spin chains. In this latter case,
the boundary matrices $K_{\pm}(u)$ are of general type, provided they commute.
We compute the Bethe ansatz equations in full generality, and for any type of
Dynkin diagram. Examples are worked out to illustrate the techniques.
|
hep-th
|
we present the analytical bethe ansatz for spin chains based on the superalgebras glmn mneq n with at each site an arbitrary representation and including inhomogeneities the calculation is done for closed and open spin chains in this latter case the boundary matrices k_pmu are of general type provided they commute we compute the bethe ansatz equations in full generality and for any type of dynkin diagram examples are worked out to illustrate the techniques
|
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|
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|
706.3328
|
The spatial distribution of substellar objects in IC348 and the Orion
Trapezium Cluster
|
Aims: Some theoretical scenarios suggest the formation of brown dwarfs as
ejected stellar embryos in star-forming clusters. Such a formation mechanism
can result in different spatial distributions of stars and substellar objects.
We aim to investigate the spatial structure of stellar and substellar objects
in two well sampled and nearby embedded clusters, namely IC348 and the Orion
Trapezium Cluster (OTC) to test this hypothesis. Methods:Deep near-infrared
K-band data complete enough to sample the substellar population in IC348 and
OTC are obtained from the literature. The spatial distribution of the K-band
point sources is analysed using the Minimum Spanning Tree (MST) method. The Q
parameter and the spanning trees are evaluated for stellar and substellar
objects as a function of cluster core radius R$_c$. Results: The stellar
population in both IC348 and OTC display a clustered distribution whereas the
substellar population is distributed homogeneously in space within twice the
cluster core radius. Although the substellar objects do not appear to be bound
by the cluster potential well, they are still within the limits of the cluster
and not significantly displaced from their birth sites. Conclusions: The
spatially homogeneous distribution of substellar objects is best explained by
assuming higher initial velocities, distributed in a random manner and going
through multiple interactions. The overall spatial coincidence of these objects
with the cluster locations can be understood if these objects are nevertheless
travelling slowly enough so as to feel the gravitational effect of the cluster.
The observations support the formation of substellar objects as ``ejected
stellar embryos''. Higher ejection velocities are necessary but net spatial
displacements may not be necessary to explain the observational data.
|
astro-ph
|
aims some theoretical scenarios suggest the formation of brown dwarfs as ejected stellar embryos in starforming clusters such a formation mechanism can result in different spatial distributions of stars and substellar objects we aim to investigate the spatial structure of stellar and substellar objects in two well sampled and nearby embedded clusters namely ic348 and the orion trapezium cluster otc to test this hypothesis methodsdeep nearinfrared kband data complete enough to sample the substellar population in ic348 and otc are obtained from the literature the spatial distribution of the kband point sources is analysed using the minimum spanning tree mst method the q parameter and the spanning trees are evaluated for stellar and substellar objects as a function of cluster core radius r_c results the stellar population in both ic348 and otc display a clustered distribution whereas the substellar population is distributed homogeneously in space within twice the cluster core radius although the substellar objects do not appear to be bound by the cluster potential well they are still within the limits of the cluster and not significantly displaced from their birth sites conclusions the spatially homogeneous distribution of substellar objects is best explained by assuming higher initial velocities distributed in a random manner and going through multiple interactions the overall spatial coincidence of these objects with the cluster locations can be understood if these objects are nevertheless travelling slowly enough so as to feel the gravitational effect of the cluster the observations support the formation of substellar objects as ejected stellar embryos higher ejection velocities are necessary but net spatial displacements may not be necessary to explain the observational data
|
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|
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|
706.3329
|
Dirac Cat States in Relativistic Landau Levels
|
We show that a relativistic version of Schrodinger cat states, here called
Dirac cat states, can be built in relativistic Landau levels when an external
magnetic field couples to a relativistic spin 1/2 charged particle. Under
suitable initial conditions, the associated Dirac equation produces unitarily
Dirac cat states involving the orbital quanta of the particle in a well defined
mesoscopic regime. We demonstrate that the proposed Dirac cat states have a
purely relativistic origin and cease to exist in the non-relativistic limit. In
this manner, we expect to open relativistic quantum mechanics to the rich
structures of quantum optics and quantum information.
|
quant-ph cond-mat.mes-hall hep-th
|
we show that a relativistic version of schrodinger cat states here called dirac cat states can be built in relativistic landau levels when an external magnetic field couples to a relativistic spin 12 charged particle under suitable initial conditions the associated dirac equation produces unitarily dirac cat states involving the orbital quanta of the particle in a well defined mesoscopic regime we demonstrate that the proposed dirac cat states have a purely relativistic origin and cease to exist in the nonrelativistic limit in this manner we expect to open relativistic quantum mechanics to the rich structures of quantum optics and quantum information
|
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|
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|
706.333
|
Coherent structures in localised and global pipe turbulence
|
The recent discovery of unstable travelling waves (TWs) in pipe flow has been
hailed as a significant breakthrough with the hope that they populate the
turbulent attractor. We confirm the existence of coherent states with internal
fast and slow streaks commensurate in both structure and energy with known TWs
using numerical simulations in a long pipe. These only occur, however, within
less energetic regions of (localized) `puff' turbulence at low Reynolds numbers
(Re=2000-2400), and not at all in (homogeneous) `slug' turbulence at Re=2800.
This strongly suggests that all currently known TWs sit in an intermediate
region of phase space between the laminar and turbulent states rather than
being embedded within the turbulent attractor itself. New coherent fast streak
states with strongly decelerated cores appear to populate the turbulent
attractor instead.
|
physics.flu-dyn
|
the recent discovery of unstable travelling waves tws in pipe flow has been hailed as a significant breakthrough with the hope that they populate the turbulent attractor we confirm the existence of coherent states with internal fast and slow streaks commensurate in both structure and energy with known tws using numerical simulations in a long pipe these only occur however within less energetic regions of localized puff turbulence at low reynolds numbers re20002400 and not at all in homogeneous slug turbulence at re2800 this strongly suggests that all currently known tws sit in an intermediate region of phase space between the laminar and turbulent states rather than being embedded within the turbulent attractor itself new coherent fast streak states with strongly decelerated cores appear to populate the turbulent attractor instead
|
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|
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|
706.3331
|
A Model for Counterparty Risk with Geometric Attenuation Effect and the
Valuation of CDS
|
In this paper, a geometric function is introduced to reflect the attenuation
speed of impact of one firm's default to its partner. If two firms are
competitions (copartners), the default intensity of one firm will decrease
(increase) abruptly when the other firm defaults. As time goes on, the impact
will decrease gradually until extinct. In this model, the joint distribution
and marginal distributions of default times are derived by employing the change
of measure, so can we value the fair swap premium of a CDS.
|
q-fin.RM math.PR
|
in this paper a geometric function is introduced to reflect the attenuation speed of impact of one firms default to its partner if two firms are competitions copartners the default intensity of one firm will decrease increase abruptly when the other firm defaults as time goes on the impact will decrease gradually until extinct in this model the joint distribution and marginal distributions of default times are derived by employing the change of measure so can we value the fair swap premium of a cds
|
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|
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|
706.3332
|
X-ray flares on the UV Ceti-type star CC Eridani: a "peculiar"
time-evolution of spectral parameters
|
Context: Weak flares are supposed to be an important heating agent of the
outer layers of stellar atmospheres. However, due to instrumental limitations,
only large X-ray flares have been studied in detail until now.
Aims: We used an XMM-Newton observation of the very active BY-Dra type binary
star CC Eri in order to investigate the properties of two flares that are
weaker than those typically studied in the literature.
Methods: We performed time-resolved spectroscopy of the data taken with the
EPIC-PN CCD camera. A multi-temperature model was used to fit the spectra. We
inferred the size of the flaring loops using the density-temperature diagram.
The loop scaling laws were applied for deriving physical parameters of the
flaring plasma. We also estimated the number of loops involved in the observed
flares.
Results: A large X-ray variability was found. Spectral analysis showed that
all the regions in the light curve, including the flare segments, are
well-described by a 3-T model with variable emission measures but,
surprisingly, with constant temperatures (values of 3, 10 and 22 MK). The
analysed flares lasted ~ 3.4 and 7.1 ks, with flux increases of factors
1.5-1.9. They occurred in arcades made of a few tens of similar coronal loops.
The size of the flaring loops is much smaller than the distance between the
stellar surfaces in the binary system, and even smaller than the radius of each
of the stars. The obtained results are consistent with the following ideas: (i)
the whole X-ray light curve of CC Eri could be the result of a superposition of
multiple low-energy flares, and (ii) stellar flares can be scaled-up versions
of solar flares.
|
astro-ph
|
context weak flares are supposed to be an important heating agent of the outer layers of stellar atmospheres however due to instrumental limitations only large xray flares have been studied in detail until now aims we used an xmmnewton observation of the very active bydra type binary star cc eri in order to investigate the properties of two flares that are weaker than those typically studied in the literature methods we performed timeresolved spectroscopy of the data taken with the epicpn ccd camera a multitemperature model was used to fit the spectra we inferred the size of the flaring loops using the densitytemperature diagram the loop scaling laws were applied for deriving physical parameters of the flaring plasma we also estimated the number of loops involved in the observed flares results a large xray variability was found spectral analysis showed that all the regions in the light curve including the flare segments are welldescribed by a 3t model with variable emission measures but surprisingly with constant temperatures values of 3 10 and 22 mk the analysed flares lasted 34 and 71 ks with flux increases of factors 1519 they occurred in arcades made of a few tens of similar coronal loops the size of the flaring loops is much smaller than the distance between the stellar surfaces in the binary system and even smaller than the radius of each of the stars the obtained results are consistent with the following ideas i the whole xray light curve of cc eri could be the result of a superposition of multiple lowenergy flares and ii stellar flares can be scaledup versions of solar flares
|
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|
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|
706.3333
|
Computer-assisted access to the kidney
|
OBJECTIVES: The aim of this paper is to introduce the principles of
computer-assisted access to the kidney. The system provides the surgeon with a
pre-operative 3D planning on computed tomography (CT) images. After a rigid
registration with space-localized ultrasound (US) data, preoperative planning
can be transferred to the intra-operative conditions and an intuitive
man-machine interface allows the user to perform a puncture. MATERIAL AND
METHODS: Both CT and US images of informed normal volunteer were obtained to
perform calculation on the accuracy of registration and punctures were carried
out on a kidney phantom to measure the precision of the whole of the system.
RESULTS: We carried out millimetric registrations on real data and guidance
experiments on a kidney phantom showed encouraging results of 4.7 mm between
planned and reached targets. We noticed that the most significant error was
related to the needle deflection during the puncture. CONCLUSION: Preliminary
results are encouraging. Further work will be undertaken to improve efficiency
and accuracy, and to take breathing into account.
|
physics.med-ph
|
objectives the aim of this paper is to introduce the principles of computerassisted access to the kidney the system provides the surgeon with a preoperative 3d planning on computed tomography ct images after a rigid registration with spacelocalized ultrasound us data preoperative planning can be transferred to the intraoperative conditions and an intuitive manmachine interface allows the user to perform a puncture material and methods both ct and us images of informed normal volunteer were obtained to perform calculation on the accuracy of registration and punctures were carried out on a kidney phantom to measure the precision of the whole of the system results we carried out millimetric registrations on real data and guidance experiments on a kidney phantom showed encouraging results of 47 mm between planned and reached targets we noticed that the most significant error was related to the needle deflection during the puncture conclusion preliminary results are encouraging further work will be undertaken to improve efficiency and accuracy and to take breathing into account
|
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|
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|
706.3334
|
Radius and profile of random planar maps with faces of arbitrary degrees
|
We prove some asymptotic results for the radius and the profile of large
random rooted planar maps with faces of arbitrary degrees. Using a bijection
due to Bouttier, Di Francesco and Guitter between rooted planar maps and
certain four-type trees with positive labels, we derive our results from a
conditional limit theorem for four-type spatial Galton-Watson trees.
|
math.PR
|
we prove some asymptotic results for the radius and the profile of large random rooted planar maps with faces of arbitrary degrees using a bijection due to bouttier di francesco and guitter between rooted planar maps and certain fourtype trees with positive labels we derive our results from a conditional limit theorem for fourtype spatial galtonwatson trees
|
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|
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|
706.3335
|
Filtering and estimation in stochastic volatility models with rationally
distributed disturbances
|
This paper deals with the filtering problem for a class of discrete time
stochastic volatility models in which the disturbances have rational
probability density functions. This includes the Cauchy distributions and
Student t-distributions with odd number of degrees of freedom. Using state
space realizations to represent the rational probability density functions we
are able to solve the filtering problem exactly. However the size of the
involved state space matrices grows exponentially with each time step of the
filter. Therefore we use stochastically balanced truncation techniques to
approximate the high order rational functions involved. In a simulation study
we show the applicability of this approach. In addition a simple method of
moments estimator is derived.
|
math.OC math.ST stat.TH
|
this paper deals with the filtering problem for a class of discrete time stochastic volatility models in which the disturbances have rational probability density functions this includes the cauchy distributions and student tdistributions with odd number of degrees of freedom using state space realizations to represent the rational probability density functions we are able to solve the filtering problem exactly however the size of the involved state space matrices grows exponentially with each time step of the filter therefore we use stochastically balanced truncation techniques to approximate the high order rational functions involved in a simulation study we show the applicability of this approach in addition a simple method of moments estimator is derived
|
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|
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|
706.3336
|
Corps de nombres peu ramifies et formes automorphes autoduales
|
Let S be a finite set of primes, p in S, and Q_S a maximal algebraic
extension of Q unramified outside S and infinity. Assume that |S|>=2. We show
that the natural maps Gal(Q_p^bar/Q_p) --> Gal(Q_S/Q) are injective. Much of
the paper is devoted to the problem of constructing selfdual automorphic
cuspidal representations of GL(2n,A_Q) with prescribed properties at all
places, that we study via the twisted trace formula of J. Arthur. The
techniques we develop shed also some lights on the orthogonal/symplectic
alternative for selfdual representations of GL(2n).
|
math.NT math.RT
|
let s be a finite set of primes p in s and q_s a maximal algebraic extension of q unramified outside s and infinity assume that s2 we show that the natural maps galq_pbarq_p galq_sq are injective much of the paper is devoted to the problem of constructing selfdual automorphic cuspidal representations of gl2na_q with prescribed properties at all places that we study via the twisted trace formula of j arthur the techniques we develop shed also some lights on the orthogonalsymplectic alternative for selfdual representations of gl2n
|
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|
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|
706.3337
|
Quasifinite representations of the Lie superalgebra of quantum pseudo
differential operators
|
In this paper we extend general results obtained by V. Kac and J. Liberati,
in "Unitary quasifinite representations of $W_\infty$", (Letters Math. Phys.,
53 (2000), 11-27), for quasifinite highest weight representations of
$\Z$-graded Lie algebras to ${1/2}\Z$-graded Lie superalgebras, and we apply
these to classify the irreducible quasifinite highest weight modules of the Lie
superalgebra of quantum pseudo-differential operators.
|
math-ph math.MP
|
in this paper we extend general results obtained by v kac and j liberati in unitary quasifinite representations of w_infty letters math phys 53 2000 1127 for quasifinite highest weight representations of zgraded lie algebras to 12zgraded lie superalgebras and we apply these to classify the irreducible quasifinite highest weight modules of the lie superalgebra of quantum pseudodifferential operators
|
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|
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|
706.3338
|
On the residual finiteness and other properties of (relative)
one-relator groups
|
A relative one-relator presentation has the form P = < X,H ; R > where X is a
set, H is a group, and R is a group word on X and H. We show that if the group
word on X obtained from R by deleting all the terms from H has what we call the
unique max-min property, then the group defined by P is residually finite if
and only if H is residually finite (Theorem 1). We apply this to obtain new
results concerning the residual finiteness of (ordinary) one-relator groups
(Theorem 4). We also obtain results concerning the conjugacy problem for
one-relator groups (Theorem 5), and results concerning the relative asphericity
of presentations of the form P (Theorem 6).
|
math.GR
|
a relative onerelator presentation has the form p xh r where x is a set h is a group and r is a group word on x and h we show that if the group word on x obtained from r by deleting all the terms from h has what we call the unique maxmin property then the group defined by p is residually finite if and only if h is residually finite theorem 1 we apply this to obtain new results concerning the residual finiteness of ordinary onerelator groups theorem 4 we also obtain results concerning the conjugacy problem for onerelator groups theorem 5 and results concerning the relative asphericity of presentations of the form p theorem 6
|
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|
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|
706.3339
|
Redshifted formaldehyde from the gravitational lens B0218+357
|
The gravitational lens toward B0218+357 offers the unique possibility to
study cool moderately dense gas with high sensitivity and angular resolution in
a cloud that existed half a Hubble time ago. Observations of the radio
continuum and six formaldehyde (H2CO) lines were carried out with the VLA, the
Plateau de Bure interferometer, and the Effelsberg 100-m telescope. Three radio
continuum maps indicate a flux density ratio between the two main images, A and
B, of ~ 3.4 +/- 0.2. Within the errors the ratio is the same at 8.6, 14.1, and
43 GHz. The 1_{01}-0_{00} line of para-H2CO is shown to absorb the continuum of
image A. Large Velocity Gradient radiative transfer calculations are performed
to reproduce the optical depths of the observed two cm-wave "K-doublet" and
four mm-wave rotational lines. These calculations also account for a likely
frequency-dependent continuum cloud coverage. Confirming the diffuse nature of
the cloud, an n(H2) density of < 1000 cm^{-3} is derived, with the best fit
suggesting n(H2) ~ 200 cm^{-3}. The H2CO column density of the main velocity
component is ~5 * 10^{13} cm^{-2}, to which about 7.5 * 10^{12} cm^{-2} has to
be added to also account for a weaker feature on the blue side, 13 km/s apart.
N(H2CO)/N(NH3) ~ 0.6, which is four times less than the average ratio obtained
from a small number of local diffuse (galactic) clouds seen in absorption. The
ortho-to-para H2CO abundance ratio is 2.0 - 3.0, which is consistent with the
kinetic temperature of the molecular gas associated with the lens of B0218+357.
With the gas kinetic temperature and density known, it is found that optically
thin transitions of CS, HCN, HNC, HCO+, and N2H+ (but not CO) will provide
excellent probes of the cosmic microwave background at redshift z=0.68.
|
astro-ph
|
the gravitational lens toward b0218357 offers the unique possibility to study cool moderately dense gas with high sensitivity and angular resolution in a cloud that existed half a hubble time ago observations of the radio continuum and six formaldehyde h2co lines were carried out with the vla the plateau de bure interferometer and the effelsberg 100m telescope three radio continuum maps indicate a flux density ratio between the two main images a and b of 34 02 within the errors the ratio is the same at 86 141 and 43 ghz the 1_010_00 line of parah2co is shown to absorb the continuum of image a large velocity gradient radiative transfer calculations are performed to reproduce the optical depths of the observed two cmwave kdoublet and four mmwave rotational lines these calculations also account for a likely frequencydependent continuum cloud coverage confirming the diffuse nature of the cloud an nh2 density of 1000 cm3 is derived with the best fit suggesting nh2 200 cm3 the h2co column density of the main velocity component is 5 1013 cm2 to which about 75 1012 cm2 has to be added to also account for a weaker feature on the blue side 13 kms apart nh2connh3 06 which is four times less than the average ratio obtained from a small number of local diffuse galactic clouds seen in absorption the orthotopara h2co abundance ratio is 20 30 which is consistent with the kinetic temperature of the molecular gas associated with the lens of b0218357 with the gas kinetic temperature and density known it is found that optically thin transitions of cs hcn hnc hco and n2h but not co will provide excellent probes of the cosmic microwave background at redshift z068
|
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|
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|
706.334
|
Visualization of ferromagnetic domains in TbNi$_2$B$_2$C and
ErNi$_2$B$_2$C single crystals: Weak ferromagnetism and its coexistence with
superconductivity
|
The magnetic flux structure in the basal plane, (001), of single crystals of
superconducting (R = Er) and non-superconducting (R = Tb) RNi$_2$B$_2$C was
studied by high resolution Bitter decoration at temperatures below $T_c$
(superconducting transition) and/or $T_N$ (antiferromagnetic transition). For
both materials two sets of domain boundaries, in \{110\} and \{100\} planes,
were observed. The temperature ranges in which the \{100\} domain boundaries
were observed in TbNi$_2$B$_2$C and ErNi$_2$B$_2$C coincide with the weak
ferromagnetic (WFM) ordering in these materials. On the other hand, the \{110\}
twin boundaries - the antiferromagnetic domain boundaries - were observed in
both compounds below $T_N$. The possibility of interpretation of \{100\}
boundaries as Bloch domain walls in the weakly ferromagnetic phase, for $T <
T_{WFM} < T_N$ (TbNi$_2$B$_2$C) or $T < T_{WFM} < T_N < T_c$ (ErNi$_2$B$_2$C)
is discussed.
|
cond-mat.supr-con
|
the magnetic flux structure in the basal plane 001 of single crystals of superconducting r er and nonsuperconducting r tb rni_2b_2c was studied by high resolution bitter decoration at temperatures below t_c superconducting transition andor t_n antiferromagnetic transition for both materials two sets of domain boundaries in 110 and 100 planes were observed the temperature ranges in which the 100 domain boundaries were observed in tbni_2b_2c and erni_2b_2c coincide with the weak ferromagnetic wfm ordering in these materials on the other hand the 110 twin boundaries the antiferromagnetic domain boundaries were observed in both compounds below t_n the possibility of interpretation of 100 boundaries as bloch domain walls in the weakly ferromagnetic phase for t t_wfm t_n tbni_2b_2c or t t_wfm t_n t_c erni_2b_2c is discussed
|
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|
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|
706.3341
|
A Sequent Calculus for Modelling Interferences
|
A logic calculus is presented that is a conservative extension of linear
logic. The motivation beneath this work concerns lazy evaluation, true
concurrency and interferences in proof search. The calculus includes two new
connectives to deal with multisequent structures and has the cut-elimination
property. Extensions are proposed that give first results concerning our
objectives.
|
cs.LO
|
a logic calculus is presented that is a conservative extension of linear logic the motivation beneath this work concerns lazy evaluation true concurrency and interferences in proof search the calculus includes two new connectives to deal with multisequent structures and has the cutelimination property extensions are proposed that give first results concerning our objectives
|
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|
[-0.1361886358134589, 0.007819833321813142, -0.10729915543266062, 0.1271703681087051, -0.20625616694396398, -0.1517447558811532, 0.034205114047201175, 0.32623998877012506, -0.2774178205005262, -0.2771805859575013, 0.08636902617773849, -0.2531372608862958, -0.16449573868226683, 0.18203190479972312, -0.1881727511195009, 0.0281326381559923, 0.07122973987902954, 0.01039089687730906, -0.01290657373479093, -0.23903051538520298, 0.2904076508755954, -0.008965065847766006, 0.2094646069871367, 0.08635204411902518, 0.08913046349156296, 0.05411258435649973, -0.05482947675265231, 0.006887796580932051, -0.08696675787483263, 0.1449999428125766, 0.3299125996945461, 0.19006534186103996, 0.3374831568941755, -0.3932208441162728, -0.12426793746175771, 0.03252658251462118, 0.0408398540655397, 0.10322702143622457, -0.05846959373579835, -0.31699671448682837, 0.08112845622565386, -0.15911745613897746, -0.0879755399699481, -0.12263273539127044, 0.0092883803200785, -0.013415943901493864, -0.2418385401614151, -0.05746233973757557, 0.25739296953158697, 0.09862593703745108, -0.03828439302742481, -0.10405903706713668, 0.046495929399926986, -0.0012250738921311666, 0.00613337442419439, -0.005872831917104294, 0.07750097727227323, -0.0020487838609249526, -0.30050362951675746, 0.3304306191374671, -0.038526394176033305, -0.22091391326789306, 0.1695957781114387, -0.06476607077034577, -0.23518458460589414, 0.09002590645104647, 0.09138242534871371, 0.10893693014557632, -0.14491802524283248, 0.1624438809560401, -0.0531943070016942, 0.20756502643684452, 0.11109181919864397, 0.059103173713357944, 0.12332545939551771, 0.2159125386333128, 0.08112763722409617, 0.15786423782361145, 0.04554205303484539, -0.18289276609583846, -0.36850740431966084, -0.18865075034423257, -0.06469056010246277, -0.08347403887167291, -0.017466657478164636, -0.16258475267029596, 0.390962029297678, 0.20368587065769253, 0.09469857163516418, 0.20301181216776934, 0.3475390784442425, 0.0991978555640979, 0.10749189216502995, 0.010856660856109744, 0.17925943106079018, 0.2241269584815457, 0.13175400978235421, -0.12346460179970511, 0.12700707251908924, 0.11500898986738527]
|
706.3342
|
The Forgotten Night: The Number Devil Explores Spherical Geometry
|
This is a missing chapter from Hans Magnus Enzensberger's mathematical
adventure The Number Devil (Henry Holt and Company, New York, 1997). In the
book, a math-hating boy named Robert is visited in his dreams by the clever
Number Devil, who teaches him to love all things numerical. However, we all
forget our dreams from time to time. Here is one adventure that Enzensberger
overlooked, where the Number Devil introduces Robert to geometry not-of-Euclid,
great circles, parallel transport, the pendulum of Foucault, and the genius of
Euler.
|
math.HO physics.ed-ph
|
this is a missing chapter from hans magnus enzensbergers mathematical adventure the number devil henry holt and company new york 1997 in the book a mathhating boy named robert is visited in his dreams by the clever number devil who teaches him to love all things numerical however we all forget our dreams from time to time here is one adventure that enzensberger overlooked where the number devil introduces robert to geometry notofeuclid great circles parallel transport the pendulum of foucault and the genius of euler
|
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|
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|
706.3343
|
Flocking in noisy environments
|
We consider a perturbed version of the dynamics of a flock introduced by
Cucker and Smale ("Emergent behaviour in flocks") and prove, under similar
conditions, that nearly-alignment (a concept that is precised in the text) is
achieved with a certain probability, bounded from below.
|
math.DS math.PR
|
we consider a perturbed version of the dynamics of a flock introduced by cucker and smale emergent behaviour in flocks and prove under similar conditions that nearlyalignment a concept that is precised in the text is achieved with a certain probability bounded from below
|
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|
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|
706.3344
|
SN 2001em: No Jet-Driven Gamma Ray Burst Event
|
We report on our second-epoch VLBI and VLA observations of the Type Ib/c
supernova 2001em, five years after the explosion. It was suggested that SN
2001em might be a jet-driven gamma ray burst (GRB), with the jet oriented near
the plane of the sky, which would entail relativistic expansion or motion. Our
VLBI image shows that SN 2001em is still unresolved five years after the
explosion. For a distance of 83 Mpc (H_0 = 70 km/s/Mpc), the nominal expansion
velocity is 5800 +/- 10,000 km/s, and the proper motion is 33,000 +/- 34,000
km/s. Our values are inconsistent with either relativistic expansion or motion,
but are consistent with the non-relativistic expansion speeds and small proper
motions seen in other supernovae. In particular these values are consistent
with radio emission from SN 2001em being due to normal, non-relativistic
supernova ejecta interacting with the circumstellar medium. Our VLA
observations show a power-law decay in flux density since the time of the peak
in the 8.4 GHz radio lightcurve in ~2003.
|
astro-ph
|
we report on our secondepoch vlbi and vla observations of the type ibc supernova 2001em five years after the explosion it was suggested that sn 2001em might be a jetdriven gamma ray burst grb with the jet oriented near the plane of the sky which would entail relativistic expansion or motion our vlbi image shows that sn 2001em is still unresolved five years after the explosion for a distance of 83 mpc h_0 70 kmsmpc the nominal expansion velocity is 5800 10000 kms and the proper motion is 33000 34000 kms our values are inconsistent with either relativistic expansion or motion but are consistent with the nonrelativistic expansion speeds and small proper motions seen in other supernovae in particular these values are consistent with radio emission from sn 2001em being due to normal nonrelativistic supernova ejecta interacting with the circumstellar medium our vla observations show a powerlaw decay in flux density since the time of the peak in the 84 ghz radio lightcurve in 2003
|
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|
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|
706.3345
|
Orbital and Spin Excitations in Cobalt Oxide
|
By means of neutron scattering we have determined new branches of magnetic
excitations in orbitally active CoO (TN=290 K) up to 15 THz and for
temperatures from 6 K to 450 K. Data were taken in the (111) direction in six
single-crystal zones. From the dependence on temperature and Q we have
identified several branches of magnetic excitation. We describe a model for the
coupled orbital and spin states of Co2+ subject to a crystal field and
tetragonal distortion.
|
cond-mat.str-el
|
by means of neutron scattering we have determined new branches of magnetic excitations in orbitally active coo tn290 k up to 15 thz and for temperatures from 6 k to 450 k data were taken in the 111 direction in six singlecrystal zones from the dependence on temperature and q we have identified several branches of magnetic excitation we describe a model for the coupled orbital and spin states of co2 subject to a crystal field and tetragonal distortion
|
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|
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|
706.3346
|
Asteroseismology of red giants: photometric observations of Arcturus by
SMEI
|
We present new results on oscillations of the K1.5 III giant Arcturus (alpha
Boo), from analysis of just over 2.5 yr of precise photometric observations
made by the Solar Mass Ejection Imager (SMEI) on board the Coriolis satellite.
A strong mode of oscillation is uncovered by the analysis, having frequency
3.51+/-0.03 micro-Hertz. By fitting its mode peak, we are able offer a highly
constrained direct estimate of the damping time (tau = 24+/-1 days). The data
also hint at the possible presence of several radial-mode overtones, and maybe
some non-radial modes. We are also able to measure the properties of the
granulation on the star, with the characteristic timescale for the granulation
estimated to be 0.50+/-0.05 days.
|
astro-ph
|
we present new results on oscillations of the k15 iii giant arcturus alpha boo from analysis of just over 25 yr of precise photometric observations made by the solar mass ejection imager smei on board the coriolis satellite a strong mode of oscillation is uncovered by the analysis having frequency 351003 microhertz by fitting its mode peak we are able offer a highly constrained direct estimate of the damping time tau 241 days the data also hint at the possible presence of several radialmode overtones and maybe some nonradial modes we are also able to measure the properties of the granulation on the star with the characteristic timescale for the granulation estimated to be 050005 days
|
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|
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|
706.3347
|
Cyclic projectors and separation theorems in idempotent convex geometry
|
Semimodules over idempotent semirings like the max-plus or tropical semiring
have much in common with convex cones. This analogy is particularly apparent in
the case of subsemimodules of the n-fold cartesian product of the max-plus
semiring it is known that one can separate a vector from a closed subsemimodule
that does not contain it. We establish here a more general separation theorem,
which applies to any finite collection of closed semimodules with a trivial
intersection. In order to prove this theorem, we investigate the spectral
properties of certain nonlinear operators called here idempotent cyclic
projectors. These are idempotent analogues of the cyclic nearest-point
projections known in convex analysis. The spectrum of idempotent cyclic
projectors is characterized in terms of a suitable extension of Hilbert's
projective metric. We deduce as a corollary of our main results the idempotent
analogue of Helly's theorem.
|
math.MG
|
semimodules over idempotent semirings like the maxplus or tropical semiring have much in common with convex cones this analogy is particularly apparent in the case of subsemimodules of the nfold cartesian product of the maxplus semiring it is known that one can separate a vector from a closed subsemimodule that does not contain it we establish here a more general separation theorem which applies to any finite collection of closed semimodules with a trivial intersection in order to prove this theorem we investigate the spectral properties of certain nonlinear operators called here idempotent cyclic projectors these are idempotent analogues of the cyclic nearestpoint projections known in convex analysis the spectrum of idempotent cyclic projectors is characterized in terms of a suitable extension of hilberts projective metric we deduce as a corollary of our main results the idempotent analogue of hellys theorem
|
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|
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|
706.3348
|
Determining a regular language by glider-based structures called phases
fi_1 in Rule 110
|
Rule 110 is a complex elementary cellular automaton able of supporting
universal computation and complicated collision-based reactions between
gliders. We propose a representation for coding initial conditions by means of
a finite subset of regular expressions. The sequences are extracted both from
de Bruijn diagrams and tiles specifying a set of phases fi_1 for each glider in
Rule 110. The subset of regular expressions is explained in detail.
|
nlin.CG
|
rule 110 is a complex elementary cellular automaton able of supporting universal computation and complicated collisionbased reactions between gliders we propose a representation for coding initial conditions by means of a finite subset of regular expressions the sequences are extracted both from de bruijn diagrams and tiles specifying a set of phases fi_1 for each glider in rule 110 the subset of regular expressions is explained in detail
|
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|
[-0.1737144653669753, 0.15425661632985765, -0.08302148906931059, 0.11138968379931774, -0.05984472916739534, -0.16112485047735609, 0.12824436302171716, 0.36360464951218063, -0.25281106886356625, -0.24922538184519136, 0.07711500061133793, -0.1994064926837029, -0.1730018236140943, 0.1795280819425165, -0.05346995734552325, 0.011600832394046237, 0.03852765108354445, 0.050393220370829994, -0.03128618068659483, -0.19069099080846158, 0.28903300103856555, -0.013360898479569092, 0.28397672923643197, -0.01699456588518041, 0.11169700498984599, 0.03760749937049044, -0.07588674682679016, 0.0037911468491291823, -0.12685799890600924, 0.11482873105847125, 0.2992760271959896, 0.18558571475154872, 0.18053155321516653, -0.42764936370858503, -0.1491985097527504, 0.11211362567299338, 0.1722085121671544, 0.12351307092901709, -0.01837575165971891, -0.2618401974523023, 0.14211878232803862, -0.18784212931267805, -0.0943853167344385, -0.07843118558512695, 0.07496549860216371, 0.06271679089196137, -0.2847287134239589, 0.005915961673121844, 0.058922106678138915, 0.10605453481939413, -0.0770338732512918, -0.0881615145437753, -0.020397024931135908, 0.12630205366538086, -0.12086543082885111, -0.004833034684520159, 0.09835643524915647, -0.08537301399098682, -0.14587567636131574, 0.387018707316758, -0.0013427163210155359, -0.2443740313956097, 0.16973783638773124, -0.09762611581771044, -0.13067499889450065, 0.16358128380475204, 0.08513902335900313, 0.11502816400198794, -0.17704588030256443, 0.10086112896348837, -0.03669379861441566, 0.1456713068729906, 0.14394350030890374, -0.009174801381443864, 0.23721686200197065, 0.17139210814693526, -0.005622133557031404, 0.15553973757995487, -0.0055054935501582586, -0.11413771236565576, -0.3040846733570988, -0.1345790315892047, -0.14633921957609536, 0.010239198664898303, -0.11175427073395616, -0.20208891111412156, 0.37294399260140176, 0.04771023737648919, 0.1816993526877217, 0.09786162107015278, 0.2138077835204886, 0.06381788371507002, 0.03502638595102271, 0.05371562940582855, 0.05213139772609766, 0.1063650236430286, 0.04881442115822835, -0.14997413631792722, 0.05283179720377188, 0.14172678302500896]
|
706.3349
|
High-resolution models of solar granulation: the 2D case
|
Using grid refinement, we have simulated solar granulation in 2D. The refined
region measures 1.97*2.58 Mm (vertical*horizontal). Grid spacing there is
1.82*2.84 km. The downflows exhibit strong Kelvin-Helmholtz instabilities.
Below the photosphere, acoustic pulses are generated. They proceed laterally
(in some cases distances of at least the size of our refined domain) and may be
enhanced when transversing downflows) as well as upwards where, in the
photosphere they contribute significantly to 'turbulence' (velocity gradients,
etc.) The acoustic pulses are ubiquitous in that at any time several of them
are seen in our high-resolution domain. Their possible contributions to p-mode
excitation or heating of the chromosphere needs to be investigated.
|
astro-ph
|
using grid refinement we have simulated solar granulation in 2d the refined region measures 197258 mm verticalhorizontal grid spacing there is 182284 km the downflows exhibit strong kelvinhelmholtz instabilities below the photosphere acoustic pulses are generated they proceed laterally in some cases distances of at least the size of our refined domain and may be enhanced when transversing downflows as well as upwards where in the photosphere they contribute significantly to turbulence velocity gradients etc the acoustic pulses are ubiquitous in that at any time several of them are seen in our highresolution domain their possible contributions to pmode excitation or heating of the chromosphere needs to be investigated
|
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|
[-0.09266623028088361, 0.22349959021469332, -0.0102168933119414, 0.11463514515660035, -0.060902201812187175, -0.07637856215379148, 0.013867052170922453, 0.4585793313596679, -0.2864849765407238, -0.309708621774642, 0.12111008776388052, -0.27175411385185316, -0.05745224768124556, 0.23446833761738403, -0.04671807751693227, -0.004159221768308923, 0.0631377943637693, -0.048633446987226325, -0.0019892960597919125, -0.2007907013615312, 0.25528895209833347, 0.07071096332796481, 0.2049000919708666, 0.029643136792693217, 0.011101095563784804, -0.1785808509119066, -0.014279537952838922, 0.04672907761261809, -0.11667868770684504, 0.027721333974216767, 0.23570196979178362, 0.06873480725664434, 0.24953659387955548, -0.5061657614478806, -0.29714451853393464, 0.031434185341668294, 0.23357875183453117, 0.09008157294999175, -0.002257974811759338, -0.2605843689108162, 0.1127704259629783, -0.0717622299573191, -0.11759897563957943, 0.003106170268026444, -0.00504358602195697, 0.05208523097043892, -0.2514337541465208, 0.10232465427570958, 0.054102496794240444, 0.13136470991292232, -0.03575296322639399, -0.09082245272759981, -0.10640641030710507, 0.15234000336094364, 0.06123340581455883, 0.055989386503395785, 0.16034732793703815, -0.10049917531322758, -0.05027911108083812, 0.3733172737905439, -0.05214041083027556, -0.11710703767888811, 0.2191985716103172, -0.20986755191620862, -0.05233874636205827, 0.17833832041129805, 0.18681000222733138, 0.1015515274190858, -0.04649607259804879, -0.04157611701411265, -0.02541821414850793, 0.16482679768166733, 0.14561988600916317, 0.03276140414143227, 0.25598142480583125, 0.12353147308337765, 0.0659615827849539, 0.09772515086729501, -0.1808945295944006, -0.014419314012761702, -0.2669001293856264, -0.06440431593021131, -0.12604358622294692, -0.0185259449633963, -0.09101115236097819, -0.1851546773994517, 0.36729327950819907, 0.1858910386118915, 0.18408946152600758, 0.010336683305279124, 0.3097982440354689, 0.12240304507508452, 0.12165299102110472, 0.151273143209763, 0.27824039960786356, 0.1504379675530319, 0.178698734828394, -0.20237237825234122, 0.027540684247143427, 0.04598092222103041]
|
706.335
|
Optimal Replica Placement in Tree Networks with QoS and Bandwidth
Constraints and the Closest Allocation Policy
|
This paper deals with the replica placement problem on fully homogeneous tree
networks known as the Replica Placement optimization problem. The client
requests are known beforehand, while the number and location of the servers are
to be determined. We investigate the latter problem using the Closest access
policy when adding QoS and bandwidth constraints. We propose an optimal
algorithm in two passes using dynamic programming.
|
cs.DC
|
this paper deals with the replica placement problem on fully homogeneous tree networks known as the replica placement optimization problem the client requests are known beforehand while the number and location of the servers are to be determined we investigate the latter problem using the closest access policy when adding qos and bandwidth constraints we propose an optimal algorithm in two passes using dynamic programming
|
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|
[-0.19667816275300887, -0.0032574629032751544, 0.008935352121121608, 0.039408114285638125, -0.132720950876291, -0.20122637672779653, 0.16691930009087977, 0.4258069439003101, -0.34979490263817403, -0.35496920414555533, 0.1693107469061103, -0.25278352682407085, -0.1314743985923437, 0.09772449640127329, -0.11459221685161958, 0.10352959326253487, 0.037928621213023476, 0.05105876265666806, -0.02369743399322033, -0.2744955113874032, 0.3175680837092491, 0.061215060877685364, 0.3035075143839304, 0.01579044684767723, 0.058936998548989115, 0.0920816167902488, -0.008348104001309435, 0.026097575976298405, -0.09689910180795078, 0.0737945226755423, 0.2794690734420258, 0.20948912838760478, 0.2840993617589657, -0.43055987507104876, -0.1591438353778078, 0.10305114060711976, 0.16104631684720516, 0.0978331509373115, -0.002711712893170233, -0.26999718569792236, 0.11226212271990685, -0.14815189791126893, -0.0676520222511429, 0.0017083579674363135, -0.11222728238655971, 0.03031587557634339, -0.2962679199946041, -0.026463943204054464, -0.07072183925371904, -0.0127428440305476, -0.08214256974080435, -0.09958598578635317, 0.040479713707016064, 0.16438945111182804, 0.04096870641582287, 0.02607235715796168, 0.1157605885169827, -0.07580782128856159, -0.1707554745272948, 0.4075553849339485, 0.05988519828623304, -0.2085076789098541, 0.11876339976890729, 0.006971019972115755, -0.17167394060928087, 0.11926299813561715, 0.19950931805830735, 0.15335048559623268, -0.22227828624197102, 0.08247818168646727, -0.06592686830912359, 0.16977770804212644, 0.08705247557507112, 0.0065270206389518885, 0.14705619590285307, 0.2098063290083351, 0.16916098250076175, 0.21263577241558007, -0.039657763545759596, -0.10496419433934184, -0.2305945286097435, -0.08138885748787568, -0.25619497297761534, -0.03945541697052809, -0.11985772514241175, -0.13428251572096578, 0.34619356866639395, 0.15576346221093376, 0.15467703889768858, 0.15996476122393058, 0.3740420295068851, 0.13131736177915276, 0.03182329716017613, 0.19697726028613172, 0.15281810814944596, 0.03326296628667758, 0.14441982448602525, -0.22407977869017767, 0.13890914548045166, 0.0697354508850437]
|
706.3351
|
Random Boolean Networks
|
This review explains in a self-contained way the properties of random Boolean
networks and their attractors, with a special focus on critical networks. Using
small example networks, analytical calculations, phenomenological arguments,
and problems to solve, the basic concepts are introduced and important results
concerning phase diagrams, numbers of relevant nodes and attractor properties
are derived.
|
cond-mat.stat-mech cond-mat.dis-nn
|
this review explains in a selfcontained way the properties of random boolean networks and their attractors with a special focus on critical networks using small example networks analytical calculations phenomenological arguments and problems to solve the basic concepts are introduced and important results concerning phase diagrams numbers of relevant nodes and attractor properties are derived
|
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|
[-0.16197970794005828, 0.08701782352714375, -0.047381135482679713, 0.14178486480589278, -0.08010995553975755, -0.1510722030800852, 0.08511252605610273, 0.33047219968654895, -0.22940208922055635, -0.27006320142271845, 0.11700764890040526, -0.2686411156615412, -0.2719275562261993, 0.20709203916432506, -0.060661556241525846, 0.0946773993528702, 0.05953478772955185, 0.011814839342101053, -0.05718867288563739, -0.22582403367215936, 0.35799719349227166, 0.01609982628036629, 0.2664007437923415, 0.051544704288244245, 0.06793082209134643, -0.037818946553902194, -0.07376905080269683, 0.06108553619547324, -0.21645952856845477, 0.13118521701544522, 0.25492225593506274, 0.11372503427449952, 0.2487596134570512, -0.4830049522898414, -0.23919079454446382, 0.08916732807728377, 0.12839157698591325, 0.1315781698493414, -0.029821251665072684, -0.27771263576366684, 0.08095819612287662, -0.1207153036576611, -0.16576943727718157, -0.15936527371575887, 0.028978757695718244, 0.11594990226016803, -0.19888266201385044, 0.00884036929346621, 0.053887552429329265, 0.0678779780725811, -0.03757518647894771, -0.15487619267607278, 0.01120965052396059, 0.13845152064141902, 0.0318767459216443, -0.03608496786857193, 0.1272490065206181, -0.14652367818423293, -0.165116149187088, 0.38484132640402424, 0.04796327200548893, -0.18652626811103387, 0.18463563933883878, -0.04553368068723516, -0.2234844272194261, 0.05368698344735259, 0.16988099359653214, 0.10598973762243986, -0.15344311393458734, 0.07967105756344443, -0.036666819207708944, 0.0983474919741804, 0.016242577389559962, 0.0899062232029709, 0.1782350626012141, 0.18554892465472222, -0.04095520846207033, 0.15930439354428513, 0.04279165195555172, -0.17021579254757274, -0.2826707597821951, -0.04756900713863698, -0.1599700117483735, 0.02545851944861087, -0.12427483407505364, -0.18200424824925987, 0.4091963867572221, 0.14212073573673314, 0.22935242128971203, 0.0743779359724034, 0.29351270190778783, 0.0832431811331348, 0.018904032330663706, 0.041568281789394944, 0.17948763433166526, 0.24593522335318002, 0.14354614826257933, -0.09660674218427051, 0.06341849770820276, 0.12810780979925768]
|
706.3352
|
Probabilistic Representations of Solutions of the Forward Equations
|
In this paper we prove a stochastic representation for solutions of the
evolution equation $ \partial_t \psi_t = {1/2}L^*\psi_t $ where $ L^* $ is the
formal adjoint of an elliptic second order differential operator with smooth
coefficients corresponding to the infinitesimal generator of a finite
dimensional diffusion $ (X_t).$ Given $ \psi_0 = \psi $, a distribution with
compact support, this representation has the form $ \psi_t = E(Y_t(\psi))$
where the process $ (Y_t(\psi))$ is the solution of a stochastic partial
differential equation connected with the stochastic differential equation for $
(X_t) $ via Ito's formula.
|
math.PR math.AP
|
in this paper we prove a stochastic representation for solutions of the evolution equation partial_t psi_t 12lpsi_t where l is the formal adjoint of an elliptic second order differential operator with smooth coefficients corresponding to the infinitesimal generator of a finite dimensional diffusion x_t given psi_0 psi a distribution with compact support this representation has the form psi_t ey_tpsi where the process y_tpsi is the solution of a stochastic partial differential equation connected with the stochastic differential equation for x_t via itos formula
|
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|
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|
706.3353
|
Microscopic origin of isotropic non-Heisenberg behavior in highly
correlated systems
|
We have reanalyzed the microscopic origin of the isotropic deviations that
are observed from the energy spacings predicted by the HDVV Hamiltonian.
Usually, a biquadratic spin operator is added to the HDVV Hamiltonian to
account for such deviations. It is shown here that this operator cannot
describe the effect of the excited atomic non-Hund states which brought the
most important contribution to the deviations. For systems containing more than
two magnetic centers, non-Hund states cause additional interactions that are of
the same order of magnitude as the biquadratic exchange and should have
significant effects on the macroscopic properties of extended systems.
|
cond-mat.str-el
|
we have reanalyzed the microscopic origin of the isotropic deviations that are observed from the energy spacings predicted by the hdvv hamiltonian usually a biquadratic spin operator is added to the hdvv hamiltonian to account for such deviations it is shown here that this operator cannot describe the effect of the excited atomic nonhund states which brought the most important contribution to the deviations for systems containing more than two magnetic centers nonhund states cause additional interactions that are of the same order of magnitude as the biquadratic exchange and should have significant effects on the macroscopic properties of extended systems
|
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|
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|
706.3354
|
Reliability of the Heitler-London approach for the exchange coupling
between electrons in semiconductor nanostructures
|
We calculate the exchange coupling J between electrons in a double-well
potential in a two-dimensional semiconductor environment within the
Heitler-London (HL) approach. Two functional forms are considered for the
double-well potential. We show that by choosing an appropriate and relatively
simple single-electron variational wave function it is possible, within the HL
approach, to significantly improve the estimates for J. In all cases the
present scheme overcomes the artifacts and limitations at short interdot
distances, previously attributed to the HL method, where unphysical triplet
ground states have been found, and leads to an overall agreement with analytic
interpolated expressions for J obtained for a donor-type model potential.
|
cond-mat.other cond-mat.mes-hall quant-ph
|
we calculate the exchange coupling j between electrons in a doublewell potential in a twodimensional semiconductor environment within the heitlerlondon hl approach two functional forms are considered for the doublewell potential we show that by choosing an appropriate and relatively simple singleelectron variational wave function it is possible within the hl approach to significantly improve the estimates for j in all cases the present scheme overcomes the artifacts and limitations at short interdot distances previously attributed to the hl method where unphysical triplet ground states have been found and leads to an overall agreement with analytic interpolated expressions for j obtained for a donortype model potential
|
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|
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|
706.3355
|
Automorphisms of Generalized Down-Up Algebras
|
A generalization of down-up algebras was introduced by Cassidy and Shelton
(J. Algebra 279 (2004), no. 1), the so-called generalized down-up algebras. We
describe the automorphism group of conformal Noetherian generalized down-up
algebras L(f,r,s,\gamma) such that r is not a root of unity, listing explicitly
the elements of the group. In the last section we apply these results to
Noetherian down-up algebras, thus obtaining a characterization of the
automorphism group of Noetherian down-up algebras A(\alpha, \beta, \gamma) for
which the roots of the polynomial X^2-\alpha X-\beta are not both roots of
unity.
|
math.RA math.RT
|
a generalization of downup algebras was introduced by cassidy and shelton j algebra 279 2004 no 1 the socalled generalized downup algebras we describe the automorphism group of conformal noetherian generalized downup algebras lfrsgamma such that r is not a root of unity listing explicitly the elements of the group in the last section we apply these results to noetherian downup algebras thus obtaining a characterization of the automorphism group of noetherian downup algebras aalpha beta gamma for which the roots of the polynomial x2alpha xbeta are not both roots of unity
|
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|
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|
706.3356
|
The Physics of Ultraperipheral Collisions at the LHC
|
We discuss the physics of large impact parameter interactions at the LHC:
ultraperipheral collisions (UPCs). The dominant processes in UPCs are
photon-nucleon (nucleus) interactions. The current LHC detector configurations
can explore small $x$ hard phenomena with nuclei and nucleons at photon-nucleon
center-of-mass energies above 1 TeV, extending the $x$ range of HERA by a
factor of ten. In particular, it will be possible to probe diffractive and
inclusive parton densities in nuclei using several processes. The interaction
of small dipoles with protons and nuclei can be investigated in elastic and
quasi-elastic $J/\psi$ and $\Upsilon$ production as well as in high $t$
$\rho^0$ production accompanied by a rapidity gap. Several of these phenomena
provide clean signatures of the onset of the new high gluon density QCD regime.
The LHC is in the kinematic range where nonlinear effects are several times
larger than at HERA. Two-photon processes in UPCs are also studied. In
addition, while UPCs play a role in limiting the maximum beam luminosity, they
can also be used a luminosity monitor by measuring mutual electromagnetic
dissociation of the beam nuclei. We also review similar studies at HERA and
RHIC as well as describe the potential use of the LHC detectors for UPC
measurements.
|
nucl-ex hep-ex hep-ph nucl-th
|
we discuss the physics of large impact parameter interactions at the lhc ultraperipheral collisions upcs the dominant processes in upcs are photonnucleon nucleus interactions the current lhc detector configurations can explore small x hard phenomena with nuclei and nucleons at photonnucleon centerofmass energies above 1 tev extending the x range of hera by a factor of ten in particular it will be possible to probe diffractive and inclusive parton densities in nuclei using several processes the interaction of small dipoles with protons and nuclei can be investigated in elastic and quasielastic jpsi and upsilon production as well as in high t rho0 production accompanied by a rapidity gap several of these phenomena provide clean signatures of the onset of the new high gluon density qcd regime the lhc is in the kinematic range where nonlinear effects are several times larger than at hera twophoton processes in upcs are also studied in addition while upcs play a role in limiting the maximum beam luminosity they can also be used a luminosity monitor by measuring mutual electromagnetic dissociation of the beam nuclei we also review similar studies at hera and rhic as well as describe the potential use of the lhc detectors for upc measurements
|
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|
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|
706.3357
|
Primordial gas heating by dark matter and structure formation
|
Dark matter (DM) decays and annihilations might heat and partially reionize
the Universe at high redshift. Although this effect is not important for the
cosmic reionization, the gas heating due to DM particles might affect the
structure formation. In particular, the critical halo mass for collapse is
increased up to a factor of ~2. Also the fraction of gas which collapses inside
the smallest halos is substantially reduced with respect to the cosmological
value. These effects imply that DM decays and annihilations might delay the
formation of the first structures and reduce the total star mass in the
smallest halos.
|
astro-ph
|
dark matter dm decays and annihilations might heat and partially reionize the universe at high redshift although this effect is not important for the cosmic reionization the gas heating due to dm particles might affect the structure formation in particular the critical halo mass for collapse is increased up to a factor of 2 also the fraction of gas which collapses inside the smallest halos is substantially reduced with respect to the cosmological value these effects imply that dm decays and annihilations might delay the formation of the first structures and reduce the total star mass in the smallest halos
|
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|
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|
706.3358
|
KNO scaling in processes of electron-positron annihilation to hadrons
|
The charged particles multiplicity distribution in the KNO form is discussed
in processes of $e^+e^-$ annihilation at energies $\sqrt{s}$ 14 -- 206.2 GeV.
The experimental data are compared to data, obtained with Monte Carlo
simulation in PYTHIA in the Lund quark string model. It is shown, that both
experimental and simulated data are described by the same distribution function
in the KNO form. It is shown, that the KNO scaling is consequence of quark
string hadronization dynamics in the Lund string model.
|
hep-ph
|
the charged particles multiplicity distribution in the kno form is discussed in processes of ee annihilation at energies sqrts 14 2062 gev the experimental data are compared to data obtained with monte carlo simulation in pythia in the lund quark string model it is shown that both experimental and simulated data are described by the same distribution function in the kno form it is shown that the kno scaling is consequence of quark string hadronization dynamics in the lund string model
|
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|
[-0.03889957607010908, 0.21960514398682632, -0.1668853983225554, 0.21322300136204303, 0.02807041910695441, -0.08096012284542307, -0.03645475561742061, 0.3657961329560221, -0.18244935565823575, -0.3215825828137221, -0.03873830161885255, -0.3587349462265402, 0.012540729532455221, 0.17092223664929654, 0.07295196737956118, 0.1291597115082873, 0.12687123440390016, 0.02038962206584804, -0.010313452692863382, -0.25156614984627124, 0.25326390666197296, 0.14847485079533523, 0.32319665044822077, 0.09331773174351748, 0.02682044155705996, 0.024533382950373637, -0.041321531426805405, -0.03568693153836109, -0.1275423946914358, -0.015098000972899666, 0.23806308594210374, 0.09688370500081851, 0.05504971669044024, -0.36410642553258826, -0.14776536204311766, 0.07407604920229426, 0.1763929575106796, 0.07769817233453562, -0.06767732666138514, -0.27697651272202717, 0.12180222718068111, -0.24252859040818833, -0.15128508012994757, -0.0296145103710853, 0.02099263686456798, 0.0354422141832334, -0.2846069808497473, 0.10715759323656927, -0.047278155032315375, 0.010817384830227605, -0.006242882448857949, -0.17949711260052376, -0.09222706315900993, -0.010750886052846909, 0.1217195893606217, 0.13059237960404085, 0.15330831463920114, -0.1612145296573915, -0.1848327729988981, 0.3679586624105771, 0.0008115319385664699, -0.20097281804515255, 0.15434308658802398, -0.21476766943678627, -0.159553540887794, 0.1361184959489576, 0.14411677544315657, 0.047813445387155186, -0.2484587319770161, 0.16236925282579182, -0.032431228230074965, 0.1300479164921943, 0.04919175731225146, -0.033367320193828626, 0.1621309094487425, 0.2261360095537923, -0.10176437931641201, 0.1300336760698737, -0.07578505662177908, -0.2055750992838983, -0.3973014980646563, -0.05654569332384401, -0.19016528018048884, 0.03559008727057113, -0.11781651483554778, -0.08674260058920302, 0.29982751825203496, 0.13866855835335123, 0.26899038498968253, 0.03542856331684707, 0.24330634156954878, 0.10989882234759905, 0.06572706286829931, 0.11916799056861135, 0.23661023382971316, 0.12562237151633995, 0.16911276474733045, -0.23332162532541487, 0.031758595876004776, 0.05817376562095259]
|
706.3359
|
Three-Dimensional Gravity Revisited
|
We consider the problem of identifying the CFT's that may be dual to pure
gravity in three dimensions with negative cosmological constant. The c-theorem
indicates that three-dimensional pure gravity is consistent only at certain
values of the coupling constant, and the relation to Chern-Simons gauge theory
hints that these may be the values at which the dual CFT can be holomorphically
factorized. If so, and one takes at face value the minimum mass of a BTZ black
hole, then the energy spectrum of three-dimensional gravity with negative
cosmological constant can be determined exactly. At the most negative possible
value of the cosmological constant, the dual CFT is very likely the monster
theory of Frenkel, Lepowsky, and Meurman. The monster theory may be the first
in a discrete series of CFT's that are dual to three-dimensional gravity. The
partition function of the second theory in the sequence can be determined on a
hyperelliptic Riemann surface of any genus. We also make a similar analysis of
supergravity.
|
hep-th
|
we consider the problem of identifying the cfts that may be dual to pure gravity in three dimensions with negative cosmological constant the ctheorem indicates that threedimensional pure gravity is consistent only at certain values of the coupling constant and the relation to chernsimons gauge theory hints that these may be the values at which the dual cft can be holomorphically factorized if so and one takes at face value the minimum mass of a btz black hole then the energy spectrum of threedimensional gravity with negative cosmological constant can be determined exactly at the most negative possible value of the cosmological constant the dual cft is very likely the monster theory of frenkel lepowsky and meurman the monster theory may be the first in a discrete series of cfts that are dual to threedimensional gravity the partition function of the second theory in the sequence can be determined on a hyperelliptic riemann surface of any genus we also make a similar analysis of supergravity
|
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|
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|
706.336
|
Theory of ultracold Fermi gases
|
The physics of quantum degenerate Fermi gases in uniform as well as in
harmonically trapped configurations is reviewed from a theoretical perspective.
Emphasis is given to the effect of interactions which play a crucial role,
bringing the gas into a superfluid phase at low temperature. In these dilute
systems interactions are characterized by a single parameter, the s-wave
scattering length, whose value can be tuned using an external magnetic field
near a Feshbach resonance. The BCS limit of ordinary Fermi superfluidity, the
Bose-Einstein condensation (BEC) of dimers and the unitary limit of large
scattering length are important regimes exhibited by interacting Fermi gases.
In particular the BEC and the unitary regimes are characterized by a high value
of the superfluid critical temperature, of the order of the Fermi temperature.
Different physical properties are discussed, including the density profiles and
the energy of the ground-state configurations, the momentum distribution, the
fraction of condensed pairs, collective oscillations and pair breaking effects,
the expansion of the gas, the main thermodynamic properties, the behavior in
the presence of optical lattices and the signatures of superfluidity, such as
the existence of quantized vortices, the quenching of the moment of inertia and
the consequences of spin polarization. Various theoretical approaches are
considered, ranging from the mean-field description of the BCS-BEC crossover to
non-perturbative methods based on quantum Monte Carlo techniques. A major goal
of the review is to compare the theoretical predictions with the available
experimental results.
|
cond-mat.other
|
the physics of quantum degenerate fermi gases in uniform as well as in harmonically trapped configurations is reviewed from a theoretical perspective emphasis is given to the effect of interactions which play a crucial role bringing the gas into a superfluid phase at low temperature in these dilute systems interactions are characterized by a single parameter the swave scattering length whose value can be tuned using an external magnetic field near a feshbach resonance the bcs limit of ordinary fermi superfluidity the boseeinstein condensation bec of dimers and the unitary limit of large scattering length are important regimes exhibited by interacting fermi gases in particular the bec and the unitary regimes are characterized by a high value of the superfluid critical temperature of the order of the fermi temperature different physical properties are discussed including the density profiles and the energy of the groundstate configurations the momentum distribution the fraction of condensed pairs collective oscillations and pair breaking effects the expansion of the gas the main thermodynamic properties the behavior in the presence of optical lattices and the signatures of superfluidity such as the existence of quantized vortices the quenching of the moment of inertia and the consequences of spin polarization various theoretical approaches are considered ranging from the meanfield description of the bcsbec crossover to nonperturbative methods based on quantum monte carlo techniques a major goal of the review is to compare the theoretical predictions with the available experimental results
|
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|
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|
706.3361
|
Polarized States and Domain Walls in Spinor Bose-Einstein Condensates
|
We study spin-polarized states and their stability in anti-ferromagnetic
states of spinor (F=1) quasi-one-dimensional Bose-Einstein condensates. Using
analytical approximations and numerical methods, we find various types of
polarized states, including: patterns of the Thomas-Fermi type; structures with
a pulse-shape in one component inducing a hole in the other components; states
with holes in all three components; and domain walls. A Bogoliubov-de Gennes
analysis reveals that families of these states contain intervals of a weak
oscillatory instability, except for the domain walls, which are always stable.
The development of the instabilities is examined by means of direct numerical
simulations.
|
cond-mat.other
|
we study spinpolarized states and their stability in antiferromagnetic states of spinor f1 quasionedimensional boseeinstein condensates using analytical approximations and numerical methods we find various types of polarized states including patterns of the thomasfermi type structures with a pulseshape in one component inducing a hole in the other components states with holes in all three components and domain walls a bogoliubovde gennes analysis reveals that families of these states contain intervals of a weak oscillatory instability except for the domain walls which are always stable the development of the instabilities is examined by means of direct numerical simulations
|
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|
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|
706.3362
|
Three experimental pearls in Costas arrays
|
The results of 3 experiments in Costas arrays are presented, for which
theoretical explanation is still not available: the number of dots on the main
diagonal of exponential Welch arrays, the parity populations of Golomb arrays
generated in fields of characteristic 2, and the maximal cross-correlation
between pairs of Welch or Golomb arrays generated in fields of size equal to a
Sophie Germain prime.
|
math.CO math.NT
|
the results of 3 experiments in costas arrays are presented for which theoretical explanation is still not available the number of dots on the main diagonal of exponential welch arrays the parity populations of golomb arrays generated in fields of characteristic 2 and the maximal crosscorrelation between pairs of welch or golomb arrays generated in fields of size equal to a sophie germain prime
|
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|
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|
706.3363
|
The binary properties of the pulsating subdwarf B eclipsing binary PG
1336-018 (NY Vir)
|
We present an unbiased orbit solution and mass determination of the
components of the eclipsing binary NY Vir as a critical test for the formation
scenarios of subdwarf B stars. We obtained high-resolution time series VLT/UVES
spectra and high-speed multicolour VLT/ULTRACAM photometric observations of NY
Vir, a rapidly pulsating subdwarf B star in a short period eclipsing binary.
Combining the radial velocity curve obtained from the VLT/UVES spectra with the
VLT/ULTRACAM multicolour lightcurves, we determined numerical orbital solutions
for this eclipsing binary. Due to the large number of free parameters and their
strong correlations, no unique solution could be found, only families of
solutions. We present three solutions of equal statistical significance, two of
which are compatible with the primary having gone through a core He-flash and a
common-envelope phase described by the $\alpha$-formalism. These two models
have an sdB primary of 0.466 \msol and 0.389 \msol, respectively. Finally, we
report the detection of the Rossiter-McLaughlin effect for NY Vir.
|
astro-ph
|
we present an unbiased orbit solution and mass determination of the components of the eclipsing binary ny vir as a critical test for the formation scenarios of subdwarf b stars we obtained highresolution time series vltuves spectra and highspeed multicolour vltultracam photometric observations of ny vir a rapidly pulsating subdwarf b star in a short period eclipsing binary combining the radial velocity curve obtained from the vltuves spectra with the vltultracam multicolour lightcurves we determined numerical orbital solutions for this eclipsing binary due to the large number of free parameters and their strong correlations no unique solution could be found only families of solutions we present three solutions of equal statistical significance two of which are compatible with the primary having gone through a core heflash and a commonenvelope phase described by the alphaformalism these two models have an sdb primary of 0466 msol and 0389 msol respectively finally we report the detection of the rossitermclaughlin effect for ny vir
|
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|
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|
706.3364
|
Unfolding Geometric Unification in M-Theory
|
By reinterpreting the familiar tools and ideas of M-theory model building, we
show how a G2-manifold locally engineered to give rise to massless matter
representations of an SU(5) grand unified model can be smoothly unfolded into a
G2-manifold giving rise to SU(3)xSU(2) gauge theory with the corresponding
matter representations. These ideas could lead to new insights in string
phenomenology because much of the arbitrariness of M-theory model building can
be removed by supposing, for example, that the singularities giving rise to
Standard Model particles could arise from unfolding a more singular, grand
unified geometry.
|
hep-th
|
by reinterpreting the familiar tools and ideas of mtheory model building we show how a g2manifold locally engineered to give rise to massless matter representations of an su5 grand unified model can be smoothly unfolded into a g2manifold giving rise to su3xsu2 gauge theory with the corresponding matter representations these ideas could lead to new insights in string phenomenology because much of the arbitrariness of mtheory model building can be removed by supposing for example that the singularities giving rise to standard model particles could arise from unfolding a more singular grand unified geometry
|
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|
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|
706.3365
|
Coulomb shifts and shape changes in the mass 70 region
|
The technique of recoil beta tagging has been developed which allows prompt
gamma decays in nuclei from excited states to be correlated with electrons from
their subsequent short-lived beta decay. This technique is ideal for studying
nuclei very far from stability and improves in sensitivity for very short-lived
decays and for high decay Q-values. The method has allowed excited states in
78Y to be observed for the first time, as well as an extension in the knowledge
of T=1 states in 74Rb. From this new information it has been possible to
compare Coulomb energy differences (CED) between T=1 states in 70Br/70Se,
74Rb/74Kr, and 78Y/78Sr. The A=70 CED exhibit an anomalous behavior which is
inconsistent with all other known CED. This behavior may be accounted for
qualitatively in terms of small variations in the Coulomb energy arising from
shape changes.
|
nucl-ex
|
the technique of recoil beta tagging has been developed which allows prompt gamma decays in nuclei from excited states to be correlated with electrons from their subsequent shortlived beta decay this technique is ideal for studying nuclei very far from stability and improves in sensitivity for very shortlived decays and for high decay qvalues the method has allowed excited states in 78y to be observed for the first time as well as an extension in the knowledge of t1 states in 74rb from this new information it has been possible to compare coulomb energy differences ced between t1 states in 70br70se 74rb74kr and 78y78sr the a70 ced exhibit an anomalous behavior which is inconsistent with all other known ced this behavior may be accounted for qualitatively in terms of small variations in the coulomb energy arising from shape changes
|
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|
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|
706.3366
|
Extreme Associated Functions: Optimally Linking Local Extremes to
Large-scale Atmospheric Circulation Structures
|
We present a new statistical method to optimally link local weather extremes
to large-scale atmospheric circulation structures. The method is illustrated
using July-August daily mean temperature at 2m height (T2m) time-series over
the Netherlands and 500 hPa geopotential height (Z500) time-series over the
Euroatlantic region of the ECMWF reanalysis dataset (ERA40). The method
identifies patterns in the Z500 time-series that optimally describe, in a
precise mathematical sense, the relationship with local warm extremes in the
Netherlands. Two patterns are identified; the most important one corresponds to
a blocking high pressure system leading to subsidence and calm, dry and sunny
conditions over the Netherlands. The second one corresponds to a rare, easterly
flow regime bringing warm, dry air into the region. The patterns are robust;
they are also identified in shorter subsamples of the total dataset. The method
is generally applicable and might prove useful in evaluating the performance of
climate models in simulating local weather extremes.
|
physics.ao-ph physics.geo-ph
|
we present a new statistical method to optimally link local weather extremes to largescale atmospheric circulation structures the method is illustrated using julyaugust daily mean temperature at 2m height t2m timeseries over the netherlands and 500 hpa geopotential height z500 timeseries over the euroatlantic region of the ecmwf reanalysis dataset era40 the method identifies patterns in the z500 timeseries that optimally describe in a precise mathematical sense the relationship with local warm extremes in the netherlands two patterns are identified the most important one corresponds to a blocking high pressure system leading to subsidence and calm dry and sunny conditions over the netherlands the second one corresponds to a rare easterly flow regime bringing warm dry air into the region the patterns are robust they are also identified in shorter subsamples of the total dataset the method is generally applicable and might prove useful in evaluating the performance of climate models in simulating local weather extremes
|
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|
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|
706.3367
|
Singularities of $n$-fold integrals of the Ising class and the theory of
elliptic curves
|
We introduce some multiple integrals that are expected to have the same
singularities as the singularities of the $ n$-particle contributions
$\chi^{(n)}$ to the susceptibility of the square lattice Ising model. We find
the Fuchsian linear differential equation satisfied by these multiple integrals
for $ n=1, 2, 3, 4$ and only modulo some primes for $ n=5$ and $ 6$, thus
providing a large set of (possible) new singularities of the $\chi^{(n)}$. We
discuss the singularity structure for these multiple integrals by solving the
Landau conditions. We find that the singularities of the associated ODEs
identify (up to $n= 6$) with the leading pinch Landau singularities. The second
remarkable obtained feature is that the singularities of the ODEs associated
with the multiple integrals reduce to the singularities of the ODEs associated
with a {\em finite number of one dimensional integrals}. Among the
singularities found, we underline the fact that the quadratic polynomial
condition $ 1+3 w +4 w^2 = 0$, that occurs in the linear differential equation
of $ \chi^{(3)}$, actually corresponds to a remarkable property of selected
elliptic curves, namely the occurrence of complex multiplication. The
interpretation of complex multiplication for elliptic curves as complex fixed
points of the selected generators of the renormalization group, namely
isogenies of elliptic curves, is sketched. Most of the other singularities
occurring in our multiple integrals are not related to complex multiplication
situations, suggesting an interpretation in terms of (motivic) mathematical
structures beyond the theory of elliptic curves.
|
math-ph cond-mat.stat-mech hep-th math.MP physics.comp-ph
|
we introduce some multiple integrals that are expected to have the same singularities as the singularities of the nparticle contributions chin to the susceptibility of the square lattice ising model we find the fuchsian linear differential equation satisfied by these multiple integrals for n1 2 3 4 and only modulo some primes for n5 and 6 thus providing a large set of possible new singularities of the chin we discuss the singularity structure for these multiple integrals by solving the landau conditions we find that the singularities of the associated odes identify up to n 6 with the leading pinch landau singularities the second remarkable obtained feature is that the singularities of the odes associated with the multiple integrals reduce to the singularities of the odes associated with a em finite number of one dimensional integrals among the singularities found we underline the fact that the quadratic polynomial condition 13 w 4 w2 0 that occurs in the linear differential equation of chi3 actually corresponds to a remarkable property of selected elliptic curves namely the occurrence of complex multiplication the interpretation of complex multiplication for elliptic curves as complex fixed points of the selected generators of the renormalization group namely isogenies of elliptic curves is sketched most of the other singularities occurring in our multiple integrals are not related to complex multiplication situations suggesting an interpretation in terms of motivic mathematical structures beyond the theory of elliptic curves
|
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|
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|
706.3368
|
The dust, planetesimals and planets of HD 38529
|
HD 38529 is a post-main sequence G8III/IV star (3.5 Gyr old) with a planetary
system consisting of at least two planets having Msin(i) of 0.8 MJup and 12.2
MJup, semimajor axes of 0.13 AU and 3.74 AU, and eccentricities of 0.25 and
0.35, respectively. Spitzer observations show that HD 38529 has an excess
emission above the stellar photosphere, with a signal-to-noise ratio (S/N) at
70 micron of 4.7, a small excess at 33 micron (S/N=2.6) and no excess <30
micron. We discuss the distribution of the potential dust-producing
planetesimals from the study of the dynamical perturbations of the two known
planets, considering in particular the effect of secular resonances. We
identify three dynamically stable niches at 0.4-0.8 AU, 20-50 AU and beyond 60
AU. We model the spectral energy distribution of HD 38529 to find out which of
these niches show signs of harboring dust-producing plantesimals. The secular
analysis, together with the SED modeling resuls, suggest that the planetesimals
responsible for most of the dust emission are likely located within 20-50 AU, a
configuration that resembles that of the Jovian planets + Kuiper Belt in our
Solar System. Finally, we place upper limits (8E-6 lunar masses of 10 micron
particles) to the amount of dust that could be located in the dynamically
stable region that exists between the two planets (0.25--0.75 AU).
|
astro-ph
|
hd 38529 is a postmain sequence g8iiiiv star 35 gyr old with a planetary system consisting of at least two planets having msini of 08 mjup and 122 mjup semimajor axes of 013 au and 374 au and eccentricities of 025 and 035 respectively spitzer observations show that hd 38529 has an excess emission above the stellar photosphere with a signaltonoise ratio sn at 70 micron of 47 a small excess at 33 micron sn26 and no excess 30 micron we discuss the distribution of the potential dustproducing planetesimals from the study of the dynamical perturbations of the two known planets considering in particular the effect of secular resonances we identify three dynamically stable niches at 0408 au 2050 au and beyond 60 au we model the spectral energy distribution of hd 38529 to find out which of these niches show signs of harboring dustproducing plantesimals the secular analysis together with the sed modeling resuls suggest that the planetesimals responsible for most of the dust emission are likely located within 2050 au a configuration that resembles that of the jovian planets kuiper belt in our solar system finally we place upper limits 8e6 lunar masses of 10 micron particles to the amount of dust that could be located in the dynamically stable region that exists between the two planets 025075 au
|
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|
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|
706.3369
|
Equilibrium properties of mesoscopic quantum conductors
|
Review article on equilibrium properties of mesoscopic quantum conductors.
|
cond-mat.mes-hall
|
review article on equilibrium properties of mesoscopic quantum conductors
|
[['review', 'article', 'on', 'equilibrium', 'properties', 'of', 'mesoscopic', 'quantum', 'conductors']]
|
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|
706.337
|
The algebro-geometric initial value problem for the Ablowitz-Ladik
hierarchy
|
We discuss the algebro-geometric initial value problem for the Ablowitz-Ladik
hierarchy with complex-valued initial data and prove unique solvability
globally in time for a set of initial (Dirichlet divisor) data of full measure.
To this effect we develop a new algorithm for constructing stationary
complex-valued algebro-geometric solutions of the Ablowitz-Ladik hierarchy,
which is of independent interest as it solves the inverse algebro-geometric
spectral problem for general (non-unitary) Ablowitz-Ladik Lax operators,
starting from a suitably chosen set of initial divisors of full measure.
Combined with an appropriate first-order system of differential equations with
respect to time (a substitute for the well-known Dubrovin-type equations), this
yields the construction of global algebro-geometric solutions of the
time-dependent Ablowitz-Ladik hierarchy.
The treatment of general (non-unitary) Lax operators associated with general
coefficients for the Ablowitz-Ladik hierarchy poses a variety of difficulties
that, to the best of our knowledge, are successfully overcome here for the
first time. Our approach is not confined to the Ablowitz-Ladik hierarchy but
applies generally to (1+1)-dimensional completely integrable soliton equations
of differential-difference type.
|
nlin.SI math-ph math.MP
|
we discuss the algebrogeometric initial value problem for the ablowitzladik hierarchy with complexvalued initial data and prove unique solvability globally in time for a set of initial dirichlet divisor data of full measure to this effect we develop a new algorithm for constructing stationary complexvalued algebrogeometric solutions of the ablowitzladik hierarchy which is of independent interest as it solves the inverse algebrogeometric spectral problem for general nonunitary ablowitzladik lax operators starting from a suitably chosen set of initial divisors of full measure combined with an appropriate firstorder system of differential equations with respect to time a substitute for the wellknown dubrovintype equations this yields the construction of global algebrogeometric solutions of the timedependent ablowitzladik hierarchy the treatment of general nonunitary lax operators associated with general coefficients for the ablowitzladik hierarchy poses a variety of difficulties that to the best of our knowledge are successfully overcome here for the first time our approach is not confined to the ablowitzladik hierarchy but applies generally to 11dimensional completely integrable soliton equations of differentialdifference type
|
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|
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|
706.3371
|
Muon Spin Spectroscopy evidence of the violation of Anderson condition
in magnetite
|
We present new muon spectroscopy data on a Fe$_3$O$_4$ single crystal,
revealing different spin precession patterns in five distinct temperature
ranges. A careful analysis of the local field and its straightforward modeling
obtains surprisingly good agreement with experiments only if a very specific
model of localized charges violating Anderson condition, and a correlated muon
local dynamics are implemented. Muon evidence for fluctuations just above the
Verwey temperature, precursor of the low temperature charge localized state, is
provided.
|
cond-mat.str-el
|
we present new muon spectroscopy data on a fe_3o_4 single crystal revealing different spin precession patterns in five distinct temperature ranges a careful analysis of the local field and its straightforward modeling obtains surprisingly good agreement with experiments only if a very specific model of localized charges violating anderson condition and a correlated muon local dynamics are implemented muon evidence for fluctuations just above the verwey temperature precursor of the low temperature charge localized state is provided
|
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|
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|
706.3372
|
Reciprocity of Networks with Degree Correlations and Arbitrary Degree
Sequences
|
Although most of the real networks contain a mixture of directed and
bidirectional (reciprocal) connections, the reciprocity $r$ has received little
attention as a subject of theoretical understanding. We study the expected
reciprocity of networks with an arbitrary degree sequence and a broad class of
degree correlations by means of statistical ensemble approach. We demonstrate
that degree correlations are crucial to understand the reciprocity in real
networks and a hierarchy of correlation contributions to $r$ is revealed.
Numerical experiments using novel network randomization methods show very good
agreement to our analytical estimations.
|
cond-mat.stat-mech cond-mat.dis-nn
|
although most of the real networks contain a mixture of directed and bidirectional reciprocal connections the reciprocity r has received little attention as a subject of theoretical understanding we study the expected reciprocity of networks with an arbitrary degree sequence and a broad class of degree correlations by means of statistical ensemble approach we demonstrate that degree correlations are crucial to understand the reciprocity in real networks and a hierarchy of correlation contributions to r is revealed numerical experiments using novel network randomization methods show very good agreement to our analytical estimations
|
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|
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|
706.3373
|
First-order flow equations for extremal black holes in very special
geometry
|
We construct interpolating solutions describing single-center static extremal
non-supersymmetric black holes in four-dimensional N=2 supergravity theories
with cubic prepotentials. To this end, we derive and solve first-order flow
equations for rotating electrically charged extremal black holes in a Taub-NUT
geometry in five dimensions. We then use the connection between five- and
four-dimensional extremal black holes to obtain four-dimensional flow equations
and we give the corresponding solutions.
|
hep-th
|
we construct interpolating solutions describing singlecenter static extremal nonsupersymmetric black holes in fourdimensional n2 supergravity theories with cubic prepotentials to this end we derive and solve firstorder flow equations for rotating electrically charged extremal black holes in a taubnut geometry in five dimensions we then use the connection between five and fourdimensional extremal black holes to obtain fourdimensional flow equations and we give the corresponding solutions
|
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|
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|
706.3374
|
Laser ablation loading of a surface-electrode ion trap
|
We demonstrate loading by laser ablation of $^{88}$Sr$^+$ ions into a
mm-scale surface-electrode ion trap. The laser used for ablation is a pulsed,
frequency-tripled Nd:YAG with pulse energies of 1-10 mJ and durations of 3-5
ns. An additional laser is not required to photoionize the ablated material.
The efficiency and lifetime of several candidate materials for the laser
ablation target are characterized by measuring the trapped ion fluorescence
signal for a number of consecutive loads. Additionally, laser ablation is used
to load traps with a trap depth (40 meV) below where electron impact ionization
loading is typically successful ($\gtrsim$ 500 meV).
|
quant-ph
|
we demonstrate loading by laser ablation of 88sr ions into a mmscale surfaceelectrode ion trap the laser used for ablation is a pulsed frequencytripled ndyag with pulse energies of 110 mj and durations of 35 ns an additional laser is not required to photoionize the ablated material the efficiency and lifetime of several candidate materials for the laser ablation target are characterized by measuring the trapped ion fluorescence signal for a number of consecutive loads additionally laser ablation is used to load traps with a trap depth 40 mev below where electron impact ionization loading is typically successful gtrsim 500 mev
|
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|
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|
706.3375
|
Eigenvalue Decomposition as a Generalized Synchronization Cluster
Analysis
|
Motivated by the recent demonstration of its use as a tool for the detection
and characterization of phase-shape correlations in multivariate time series,
we show that eigenvalue decomposition can also be applied to a matrix of
indices of bivariate phase synchronization strength. The resulting method is
able to identify clusters of synchronized oscillators, and to quantify their
strength as well as the degree of involvement of an oscillator in a cluster.
Since for the case of a single cluster the method gives similar results as our
previous approach, it can be seen as a generalized Synchronization Cluster
Analysis, extending its field of application to more complex situations. The
performance of the method is tested by applying it to simulation data.
|
physics.data-an
|
motivated by the recent demonstration of its use as a tool for the detection and characterization of phaseshape correlations in multivariate time series we show that eigenvalue decomposition can also be applied to a matrix of indices of bivariate phase synchronization strength the resulting method is able to identify clusters of synchronized oscillators and to quantify their strength as well as the degree of involvement of an oscillator in a cluster since for the case of a single cluster the method gives similar results as our previous approach it can be seen as a generalized synchronization cluster analysis extending its field of application to more complex situations the performance of the method is tested by applying it to simulation data
|
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|
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|
706.3376
|
Quantum limited measurements of atomic scattering properties
|
We propose a method to perform precision measurements of the interaction
parameters in systems of N ultra-cold spin 1/2 atoms. The spectroscopy is
realized by first creating a coherent spin superposition of the two relevant
internal states of each atom and then letting the atoms evolve under a
squeezing Hamiltonian. The non-linear nature of the Hamiltonian decreases the
fundamental limit imposed by the Heisenberg uncertainty principle to N^(-2), a
factor of N smaller than the fundamental limit achievable with non-interacting
atoms. We study the effect of decoherence and show that even with decoherence,
entangled states can outperform the signal to noise limit of non-entangled
states. We present two possible experimental implementations of the method
using Bose-Einstein spinor condensates and fermionic atoms loaded in optical
lattices and discuss their advantages and disadvantages.
|
cond-mat.other
|
we propose a method to perform precision measurements of the interaction parameters in systems of n ultracold spin 12 atoms the spectroscopy is realized by first creating a coherent spin superposition of the two relevant internal states of each atom and then letting the atoms evolve under a squeezing hamiltonian the nonlinear nature of the hamiltonian decreases the fundamental limit imposed by the heisenberg uncertainty principle to n2 a factor of n smaller than the fundamental limit achievable with noninteracting atoms we study the effect of decoherence and show that even with decoherence entangled states can outperform the signal to noise limit of nonentangled states we present two possible experimental implementations of the method using boseeinstein spinor condensates and fermionic atoms loaded in optical lattices and discuss their advantages and disadvantages
|
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|
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|
706.3377
|
Domain Structures in Confined Nanoferroelectrics: Phase Field Approach
|
Phase field modeling of domain structures in ferroelectrics nanorods of
different shape and sizes is presented. The vortex domain configurations in
confined ferroelectrics have been explored by varying the ratio of the energies
of electrostatic and elastic interactions. It is shown that a strong effect of
the electrostatic interactions can cause the formation of 90o domain walls that
do not satisfy the condition of strain compatibility. A good agreement between
the results of phase field modeling and the results of atomistic calculations
for nano ferroelectrics demonstrates that the phase field approach provides an
effective tool for the analysis of domain structures in nano-ferroelectrics.
|
cond-mat.mtrl-sci
|
phase field modeling of domain structures in ferroelectrics nanorods of different shape and sizes is presented the vortex domain configurations in confined ferroelectrics have been explored by varying the ratio of the energies of electrostatic and elastic interactions it is shown that a strong effect of the electrostatic interactions can cause the formation of 90o domain walls that do not satisfy the condition of strain compatibility a good agreement between the results of phase field modeling and the results of atomistic calculations for nano ferroelectrics demonstrates that the phase field approach provides an effective tool for the analysis of domain structures in nanoferroelectrics
|
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|
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|
706.3378
|
Many-body protected entanglement generation in interacting spin systems
|
We discuss a method to achieve decoherence resistent entanglement generation
in two level spin systems governed by gapped and multi-degenerate Hamiltonians.
In such systems, while the large number of degrees of freedom in the ground
state levels allows to create various quantum superpositions, the energy gap
prevents decoherence. We apply the protected evolution to achieve decoherence
resistent generation of many particle GHZ states and show it can significantly
increase the sensitivity in frequency spectroscopy. We discuss how to engineer
the desired many-body protected manifold in two specific physical systems,
trapped ions and neutral atoms in optical lattices, and present simple
expressions for the fidelity of GHZ generation under non-ideal conditions.
|
cond-mat.other
|
we discuss a method to achieve decoherence resistent entanglement generation in two level spin systems governed by gapped and multidegenerate hamiltonians in such systems while the large number of degrees of freedom in the ground state levels allows to create various quantum superpositions the energy gap prevents decoherence we apply the protected evolution to achieve decoherence resistent generation of many particle ghz states and show it can significantly increase the sensitivity in frequency spectroscopy we discuss how to engineer the desired manybody protected manifold in two specific physical systems trapped ions and neutral atoms in optical lattices and present simple expressions for the fidelity of ghz generation under nonideal conditions
|
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|
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|
706.3379
|
Self-Replicating Space-Cells and the Cosmological Constant
|
We consider what the implications would be if there were a discrete
fundamental model of physics based on locally-finite self-interacting
information, in which there is no presumption of the familiar space and laws of
physics, but from which such space and laws can nevertheless be shown to be
able to emerge stably from such a fundamental model. We argue that if there is
such a model, then the familiar laws of physics, including Standard Model
constants, etc., must be encodable by a finite quantity C, called the
complexity, of self-interacting information I, called a Space-Cell. Copies of
Space-Cell I must be distributed throughout space, at a roughly constant and
near-Planck density, and copies must be created or destroyed as space expands
or contracts. We then argue that each Space-Cell is a self-replicator that can
duplicate in times ranging from as fast as near-Planck-times to as slow as
Cosmological-Constant-time which is 10^{61} Planck-times. From standard
considerations of computation, we argue this slowest duplication rate just
requires that 10^{61} is less than about 2^C, the number of length-C binary
strings, hence requiring only the modest complexity C at least 203, and at most
a few thousand. We claim this provides a reasonable explanation for a
dimensionless constant being as large as 10^{61}, and hence for the
Cosmological Constant being a tiny positive 10^{-122}. We also discuss a
separate conjecture on entropy flow in Hole-Bang Transitions. We then present
Cosmological Natural Selection II.
|
gr-qc nlin.AO
|
we consider what the implications would be if there were a discrete fundamental model of physics based on locallyfinite selfinteracting information in which there is no presumption of the familiar space and laws of physics but from which such space and laws can nevertheless be shown to be able to emerge stably from such a fundamental model we argue that if there is such a model then the familiar laws of physics including standard model constants etc must be encodable by a finite quantity c called the complexity of selfinteracting information i called a spacecell copies of spacecell i must be distributed throughout space at a roughly constant and nearplanck density and copies must be created or destroyed as space expands or contracts we then argue that each spacecell is a selfreplicator that can duplicate in times ranging from as fast as nearplancktimes to as slow as cosmologicalconstanttime which is 1061 plancktimes from standard considerations of computation we argue this slowest duplication rate just requires that 1061 is less than about 2c the number of lengthc binary strings hence requiring only the modest complexity c at least 203 and at most a few thousand we claim this provides a reasonable explanation for a dimensionless constant being as large as 1061 and hence for the cosmological constant being a tiny positive 10122 we also discuss a separate conjecture on entropy flow in holebang transitions we then present cosmological natural selection ii
|
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|
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|
706.338
|
Transition metal oxides using quantum Monte Carlo
|
The transition metal-oxygen bond appears prominently throughout chemistry and
solid-state physics. Many materials, from biomolecules to ferroelectrics to the
components of supernova remnants contain this bond in some form. Many of these
materials' properties strongly depend on fine details of the TM-O bond and
intricate correlation effects, which make accurate calculations of their
properties very challenging. We present quantum Monte Carlo, an explicitly
correlated class of methods, to improve the accuracy of electronic structure
calculations over more traditional methods like density functional theory. We
find that unlike s-p type bonding, the amount of hybridization of the d-p bond
in TM-O materials is strongly dependant on electronic correlation.
|
cond-mat.str-el cond-mat.mtrl-sci
|
the transition metaloxygen bond appears prominently throughout chemistry and solidstate physics many materials from biomolecules to ferroelectrics to the components of supernova remnants contain this bond in some form many of these materials properties strongly depend on fine details of the tmo bond and intricate correlation effects which make accurate calculations of their properties very challenging we present quantum monte carlo an explicitly correlated class of methods to improve the accuracy of electronic structure calculations over more traditional methods like density functional theory we find that unlike sp type bonding the amount of hybridization of the dp bond in tmo materials is strongly dependant on electronic correlation
|
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|
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|
706.3381
|
Integral degree of a ring and reduction numbers
|
The supremum of reduction numbers of ideals having principal reductions is
expressed in terms of the integral degree, a new invariant of the ring, which
is finite provided the ring has finite integral closure. As a consequence, one
obtains bounds for the Castelnuovo-Mumford regularity of the Rees algebra and
for the Artin-Rees numbers.
|
math.AC
|
the supremum of reduction numbers of ideals having principal reductions is expressed in terms of the integral degree a new invariant of the ring which is finite provided the ring has finite integral closure as a consequence one obtains bounds for the castelnuovomumford regularity of the rees algebra and for the artinrees numbers
|
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|
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|
706.3382
|
DLCQ Strings, Twist Fields and One-Loop Correlators on a Permutation
Orbifold
|
We investigate some aspects of the relationship between matrix string theory
and light-cone string field theory by analysing the correspondence between the
two-loop thermal partition function of DLCQ strings in flat space and the
integrated two-point correlator of twist fields in a symmetric product orbifold
conformal field theory at one-loop order. This is carried out by deriving
combinatorial expressions for generic twist field correlation functions in
permutation orbifolds using the covering surface method, by deriving the
one-loop modification of the twist field interaction vertex, and by relating
the two-loop finite temperature DLCQ string theory to the theory of Prym
varieties for genus two covers of an elliptic curve. The case of bosonic Z(2)
orbifolds is worked out explicitly and precise agreement between both
amplitudes is found. We use these techniques to derive explicit expressions for
Z(2) orbifold spin twist field correlation functions in the Type II and
heterotic string theories.
|
hep-th
|
we investigate some aspects of the relationship between matrix string theory and lightcone string field theory by analysing the correspondence between the twoloop thermal partition function of dlcq strings in flat space and the integrated twopoint correlator of twist fields in a symmetric product orbifold conformal field theory at oneloop order this is carried out by deriving combinatorial expressions for generic twist field correlation functions in permutation orbifolds using the covering surface method by deriving the oneloop modification of the twist field interaction vertex and by relating the twoloop finite temperature dlcq string theory to the theory of prym varieties for genus two covers of an elliptic curve the case of bosonic z2 orbifolds is worked out explicitly and precise agreement between both amplitudes is found we use these techniques to derive explicit expressions for z2 orbifold spin twist field correlation functions in the type ii and heterotic string theories
|
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|
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|
706.3383
|
Universal behavior of baryons and mesons' transverse momentum
distributions in the framework of percolation of strings
|
In the framework of percolation of strings, we present predictions for the
$R_{AA}$ and $R_{CP}$ for mesons and baryons and for $\bar{p}/\pi^{0}$ ratios
at LHC energies.
|
hep-ph
|
in the framework of percolation of strings we present predictions for the r_aa and r_cp for mesons and baryons and for barppi0 ratios at lhc energies
|
[['in', 'the', 'framework', 'of', 'percolation', 'of', 'strings', 'we', 'present', 'predictions', 'for', 'the', 'r_aa', 'and', 'r_cp', 'for', 'mesons', 'and', 'baryons', 'and', 'for', 'barppi0', 'ratios', 'at', 'lhc', 'energies']]
|
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|
706.3384
|
Form factors of branch-point twist fields in quantum integrable models
and entanglement entropy
|
In this paper we compute the leading correction to the bipartite entanglement
entropy at large sub-system size, in integrable quantum field theories with
diagonal scattering matrices. We find a remarkably universal result, depending
only on the particle spectrum of the theory and not on the details of the
scattering matrix. We employ the "replica trick" whereby the entropy is
obtained as the derivative with respect to n of the trace of the n-th power of
the reduced density matrix of the sub-system, evaluated at n=1. The main
novelty of our work is the introduction of a particular type of twist fields in
quantum field theory that are naturally related to branch points in an
n-sheeted Riemann surface. Their two-point function directly gives the scaling
limit of the trace of the n-th power of the reduced density matrix. Taking
advantage of integrability, we use the expansion of this two-point function in
terms of form factors of the twist fields, in order to evaluate it at large
distances in the two-particle approximation. Although this is a well-known
technique, the new geometry of the problem implies a modification of the form
factor equations satisfied by standard local fields of integrable quantum field
theory. We derive the new form factor equations and provide solutions, which we
specialize both to the Ising and sinh-Gordon models.
|
hep-th quant-ph
|
in this paper we compute the leading correction to the bipartite entanglement entropy at large subsystem size in integrable quantum field theories with diagonal scattering matrices we find a remarkably universal result depending only on the particle spectrum of the theory and not on the details of the scattering matrix we employ the replica trick whereby the entropy is obtained as the derivative with respect to n of the trace of the nth power of the reduced density matrix of the subsystem evaluated at n1 the main novelty of our work is the introduction of a particular type of twist fields in quantum field theory that are naturally related to branch points in an nsheeted riemann surface their twopoint function directly gives the scaling limit of the trace of the nth power of the reduced density matrix taking advantage of integrability we use the expansion of this twopoint function in terms of form factors of the twist fields in order to evaluate it at large distances in the twoparticle approximation although this is a wellknown technique the new geometry of the problem implies a modification of the form factor equations satisfied by standard local fields of integrable quantum field theory we derive the new form factor equations and provide solutions which we specialize both to the ising and sinhgordon models
|
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|
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|
706.3385
|
Excitation energy dependence of symmetry energy of finite nuclei
|
A finite range density and momentum dependent effective interaction is used
to calculate the density and temperature dependence of the symmetry energy
coefficient Csym(rho,T) of infinite nuclear matter. This symmetry energy is
then used in the local density approximation to evaluate the excitation energy
dependence of the symmetry energy coefficient of finite nuclei in a
microcanonical formulation that accounts for thermal and expansion effects. The
results are in good harmony with the recently reported experimental data from
energetic nucleus-nucleus collisions.
|
nucl-th
|
a finite range density and momentum dependent effective interaction is used to calculate the density and temperature dependence of the symmetry energy coefficient csymrhot of infinite nuclear matter this symmetry energy is then used in the local density approximation to evaluate the excitation energy dependence of the symmetry energy coefficient of finite nuclei in a microcanonical formulation that accounts for thermal and expansion effects the results are in good harmony with the recently reported experimental data from energetic nucleusnucleus collisions
|
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|
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|
706.3386
|
XMM-Newton Observations of the Cataclysmic Variable GW Lib
|
XMM-Newton observations of the accreting, pulsating white dwarf in the
quiescent dwarf nova GW Librae were conducted to determine if the non-radial
pulsations present in previous UV and optical data affect the X-ray emission.
The non-radial pulsations are evident in the simultaneous Optical Monitor data
but are not detected in X-ray with an upper limit on the pulsation amplitude of
0.092 mags. The best fits to the X-ray spectrum are with a low temperature
diffuse gas model or a multi-temperature cooling flow model, with a strong
OVIII line, similar to other short period dwarf novae, but with a lower
temperature range than evident in normal short period dwarf novae. The lack of
pulsations and the spectrum likely indicate that the boundary layer does not
extend to the surface of the white dwarf.
|
astro-ph
|
xmmnewton observations of the accreting pulsating white dwarf in the quiescent dwarf nova gw librae were conducted to determine if the nonradial pulsations present in previous uv and optical data affect the xray emission the nonradial pulsations are evident in the simultaneous optical monitor data but are not detected in xray with an upper limit on the pulsation amplitude of 0092 mags the best fits to the xray spectrum are with a low temperature diffuse gas model or a multitemperature cooling flow model with a strong oviii line similar to other short period dwarf novae but with a lower temperature range than evident in normal short period dwarf novae the lack of pulsations and the spectrum likely indicate that the boundary layer does not extend to the surface of the white dwarf
|
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|
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|
706.3387
|
Vadim Kuznetsov. Informal Biography by Eyes of His First Adviser
|
The paper is dedicated to the memory of prominent theoretical physicist and
mathematician Dr. Vadim Kuznetsov who worked, in particular, in the fields of
the nonlinear dynamics, separation of variables, integrability theory, special
functions. It includes his short research biography, an account of the start of
his research career and the list of publications.
|
nlin.SI math-ph math.CA math.MP
|
the paper is dedicated to the memory of prominent theoretical physicist and mathematician dr vadim kuznetsov who worked in particular in the fields of the nonlinear dynamics separation of variables integrability theory special functions it includes his short research biography an account of the start of his research career and the list of publications
|
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|
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|
706.3388
|
A Confining Strong First-Order Electroweak Phase Transition
|
In the Randall-Sundrum model where the radion is stabilized by a
Goldberger-Wise (GW) potential there is a supercooled transition from a
deconfined to a confined phase at temperatures orders of magnitude below the
typical Standard Model critical temperature. When the Higgs is localized at the
IR brane the electroweak phase transition is delayed and becomes a strong
first-order one where the Universe expands by a few e-folds. This generates the
possibility of having the out-of-equilibrium condition required by electroweak
baryogenesis in the electroweak phase transition. We have studied numerically
the region of the GW parameter space where the theory is consistent and the
latter possibility is realized. We have found that in most of the parameter
space the nucleation temperature is so low that sphalerons are totally inactive
inside the bubbles. The condition for sphalerons to be inactive after reheating
imposes an upper bound on the reheating temperature that is weaker for heavy
Higgs bosons so that the out-of-equilibrium condition seems to favor heavy over
light Higgses. The condition for sphalerons to be active outside the bubbles
puts an upper bound on the number of e-folds at the phase transition, roughly
consistent with the critical value required by low-scale inflation to solve the
cosmological horizon problem.
|
hep-ph hep-th
|
in the randallsundrum model where the radion is stabilized by a goldbergerwise gw potential there is a supercooled transition from a deconfined to a confined phase at temperatures orders of magnitude below the typical standard model critical temperature when the higgs is localized at the ir brane the electroweak phase transition is delayed and becomes a strong firstorder one where the universe expands by a few efolds this generates the possibility of having the outofequilibrium condition required by electroweak baryogenesis in the electroweak phase transition we have studied numerically the region of the gw parameter space where the theory is consistent and the latter possibility is realized we have found that in most of the parameter space the nucleation temperature is so low that sphalerons are totally inactive inside the bubbles the condition for sphalerons to be inactive after reheating imposes an upper bound on the reheating temperature that is weaker for heavy higgs bosons so that the outofequilibrium condition seems to favor heavy over light higgses the condition for sphalerons to be active outside the bubbles puts an upper bound on the number of efolds at the phase transition roughly consistent with the critical value required by lowscale inflation to solve the cosmological horizon problem
|
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|
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|
706.3389
|
Characterization of the Radon-Nikodym Property in terms of inverse
limits
|
We clarify the relation between inverse systems, the Radon-Nikodym property,
the Asymptotic Norming Property of James-Ho, and the GFDA spaces introduced in
our earlier paper on differentiability of Lipschitz maps into Banach spaces.
|
math.FA math.MG
|
we clarify the relation between inverse systems the radonnikodym property the asymptotic norming property of jamesho and the gfda spaces introduced in our earlier paper on differentiability of lipschitz maps into banach spaces
|
[['we', 'clarify', 'the', 'relation', 'between', 'inverse', 'systems', 'the', 'radonnikodym', 'property', 'the', 'asymptotic', 'norming', 'property', 'of', 'jamesho', 'and', 'the', 'gfda', 'spaces', 'introduced', 'in', 'our', 'earlier', 'paper', 'on', 'differentiability', 'of', 'lipschitz', 'maps', 'into', 'banach', 'spaces']]
|
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|
706.339
|
Influence of friction on granular segregation
|
Vertical shaking of a mixture of small and large beads can lead to
segregation where the large beads either accumulate at the top of the sample,
the so called Brazil Nut effect (BNE), or at the bottom, the Reverse Brazil Nut
effect (RBNE). Here we demonstrate experimentally a sharp transition from the
RBNE to the BNE when the particle coefficient of friction increases due to
aging of the particles. This result can be explained by the two competing
mechanisms of buoyancy and sidewall-driven convection, where the latter is
assumed to grow in strength with increasing friction.
|
cond-mat.dis-nn cond-mat.soft
|
vertical shaking of a mixture of small and large beads can lead to segregation where the large beads either accumulate at the top of the sample the so called brazil nut effect bne or at the bottom the reverse brazil nut effect rbne here we demonstrate experimentally a sharp transition from the rbne to the bne when the particle coefficient of friction increases due to aging of the particles this result can be explained by the two competing mechanisms of buoyancy and sidewalldriven convection where the latter is assumed to grow in strength with increasing friction
|
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|
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|
706.3391
|
The Overdensity in Virgo, Sagittarius Debris, and the Asymmetric
Spheroid
|
We investigate the relationship between several previously identified
Galactic halo stellar structures in the direction of Virgo using imaging and
spectroscopic observations of F turnoff stars and blue horizontal branch stars
from the Sloan Digital Sky Survey (SDSS) and the Sloan Extension for Galactic
Understanding and Exploration (SEGUE). We show that the Sagittarius dwarf
leading tidal tail does not pass through the solar neighborhood; it misses the
Sun by more than 15 kpc, passing through the Galactic plane outside the Solar
Circle. It also is not spatially coincident with the large stellar overdensity
S297+63-20.5 in the Virgo constellation. S297+63-20.5 has a distinct turnoff
color and kinematics. Faint (g ~ 20.3) turnoff stars in S297+63-20.5 have
line-of-sight, Galactic standard of rest velocities V(GSR)= 130 +/- 10 km/s,
opposite in sign to infalling Sgr tail stars. The path of the Sgr leading tidal
tail is also inconsistent with the positions of some of the nearer stars with
which it has been associated, and whose velocities have favored models with
prolate Milky Way potentials. We additionally show that the number densities of
brighter (g ~ 19.8) F turnoff stars are not symmetric about the Galactic
center, and that this discrepancy is not primarily due to the S297+63-20.5
moving group. Either the spheroid is asymmetric about the Galactic center, or
there are additional substructures that conspire to be on the same side of the
Galaxy as S297+63-20.5. The S297+63-20.5 overdensity in Virgo is likely
associated with two other previously identified Virgo substructures: the Virgo
Stellar Stream (VSS) and the Virgo Overdensity (VOD). However, the velocity
difference between the VSS and S297+63-20.5 and the difference in distance
estimates between the VOD and S297+63-20.5 must be reconciled.
|
astro-ph
|
we investigate the relationship between several previously identified galactic halo stellar structures in the direction of virgo using imaging and spectroscopic observations of f turnoff stars and blue horizontal branch stars from the sloan digital sky survey sdss and the sloan extension for galactic understanding and exploration segue we show that the sagittarius dwarf leading tidal tail does not pass through the solar neighborhood it misses the sun by more than 15 kpc passing through the galactic plane outside the solar circle it also is not spatially coincident with the large stellar overdensity s29763205 in the virgo constellation s29763205 has a distinct turnoff color and kinematics faint g 203 turnoff stars in s29763205 have lineofsight galactic standard of rest velocities vgsr 130 10 kms opposite in sign to infalling sgr tail stars the path of the sgr leading tidal tail is also inconsistent with the positions of some of the nearer stars with which it has been associated and whose velocities have favored models with prolate milky way potentials we additionally show that the number densities of brighter g 198 f turnoff stars are not symmetric about the galactic center and that this discrepancy is not primarily due to the s29763205 moving group either the spheroid is asymmetric about the galactic center or there are additional substructures that conspire to be on the same side of the galaxy as s29763205 the s29763205 overdensity in virgo is likely associated with two other previously identified virgo substructures the virgo stellar stream vss and the virgo overdensity vod however the velocity difference between the vss and s29763205 and the difference in distance estimates between the vod and s29763205 must be reconciled
|
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|
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|
706.3392
|
Solving SPDEs driven by colored noise: a chaos approach
|
An Ito-Skorokhod bi-linear equation driven by infinitely many independent
colored noises is considered in a normal triple of Hilbert spaces. The special
feature of the equation is the appearance of the Wick product in the definition
of the Ito-Skorokhod integral, requiring innovative approaches to computing the
solution. A chaos expansion of the solution is derived and several truncations
of this expansion are studied. A recursive approximation of the solution is
suggested and the corresponding approximation error bound is computed.
|
math.PR math.AP
|
an itoskorokhod bilinear equation driven by infinitely many independent colored noises is considered in a normal triple of hilbert spaces the special feature of the equation is the appearance of the wick product in the definition of the itoskorokhod integral requiring innovative approaches to computing the solution a chaos expansion of the solution is derived and several truncations of this expansion are studied a recursive approximation of the solution is suggested and the corresponding approximation error bound is computed
|
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|
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|
706.3393
|
Towards a covariant model for cosmic self-acceleration
|
An explicitly covariant formulation is presented of a modified DGP scenario
proposed recently [1], to avoid the instability of the self-accelerating
branch. It is based on the introduction of a bulk scalar field with appropriate
non-minimal coupling to the bulk Einstein-Hilbert term. The method is general
and may be applied to other models as well.
|
hep-th astro-ph hep-ph
|
an explicitly covariant formulation is presented of a modified dgp scenario proposed recently 1 to avoid the instability of the selfaccelerating branch it is based on the introduction of a bulk scalar field with appropriate nonminimal coupling to the bulk einsteinhilbert term the method is general and may be applied to other models as well
|
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|
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|
706.3394
|
Black Ring Deconstruction
|
We present a sample microstate for a black ring in four and five dimensional
language. The microstate consists of a black string microstate with an
additional D6-brane. We show that with an appropriate choice of parameters the
piece involving the black string microstate falls down a long AdS throat, whose
M-theory lift is AdS_3 X S^2. We wrap a spinning dipole M2-brane on the S^2 in
the probe approximation. In IIA, this corresponds to a dielectric D2-brane
carrying only D0-charge. We conjecture this is the first approximation to a
cloud of D0-branes blowing up due to their non-abelian degrees of freedom and
the Myers effect.
|
hep-th
|
we present a sample microstate for a black ring in four and five dimensional language the microstate consists of a black string microstate with an additional d6brane we show that with an appropriate choice of parameters the piece involving the black string microstate falls down a long ads throat whose mtheory lift is ads_3 x s2 we wrap a spinning dipole m2brane on the s2 in the probe approximation in iia this corresponds to a dielectric d2brane carrying only d0charge we conjecture this is the first approximation to a cloud of d0branes blowing up due to their nonabelian degrees of freedom and the myers effect
|
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|
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|
706.3395
|
Ion Charge States in Halo CMEs: What can we Learn about the Explosion?
|
We describe a new modeling approach to develop a more quantitative
understanding of the charge state distributions of the ions of various elements
detected in situ during halo Coronal Mass Ejection (CME) events by the Advanced
Composition Explorer (ACE) satellite. Using a model CME hydrodynamic evolution
based on observations of CMEs propagating in the plane of the sky and on
theoretical models, we integrate time dependent equations for the ionization
balance of various elements to compare with ACE data. We find that plasma in
the CME ``core'' typically requires further heating following filament
eruption, with thermal energy input similar to the kinetic energy input. This
extra heating is presumably the result of post eruptive reconnection. Plasma
corresponding to the CME ``cavity'' is usually not further ionized, since
whether heated or not, the low density gives freeze-in close the the Sun. The
current analysis is limited by ambiguities in the underlying model CME
evolution. Such methods are likely to reach their full potential when applied
to data to be acquired by STEREO when at optimum separation. CME evolution
observed with one spacecraft may be used to interpret CME charge states
detected by the other.
|
astro-ph
|
we describe a new modeling approach to develop a more quantitative understanding of the charge state distributions of the ions of various elements detected in situ during halo coronal mass ejection cme events by the advanced composition explorer ace satellite using a model cme hydrodynamic evolution based on observations of cmes propagating in the plane of the sky and on theoretical models we integrate time dependent equations for the ionization balance of various elements to compare with ace data we find that plasma in the cme core typically requires further heating following filament eruption with thermal energy input similar to the kinetic energy input this extra heating is presumably the result of post eruptive reconnection plasma corresponding to the cme cavity is usually not further ionized since whether heated or not the low density gives freezein close the the sun the current analysis is limited by ambiguities in the underlying model cme evolution such methods are likely to reach their full potential when applied to data to be acquired by stereo when at optimum separation cme evolution observed with one spacecraft may be used to interpret cme charge states detected by the other
|
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|
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|
706.3396
|
Strings ending on branes from supergravity
|
We study geometries produced by brane intersections preserving eight
supercharges. Typical examples of such configurations are given by fundamental
strings ending on Dp branes and we construct gravity solutions describing such
intersections. The geometry is specified in terms of two functions obeying
coupled differential equations and the boundary conditions are determined by
distributions of D branes. We show that a consistency of type IIB supergravity
constrains the allowed positions of the branes. The shapes of branes derived
from gravity are found to be in a perfect agreement with profiles predicted by
the DBI analysis. We also discuss related 1/4-BPS systems in M theory.
|
hep-th
|
we study geometries produced by brane intersections preserving eight supercharges typical examples of such configurations are given by fundamental strings ending on dp branes and we construct gravity solutions describing such intersections the geometry is specified in terms of two functions obeying coupled differential equations and the boundary conditions are determined by distributions of d branes we show that a consistency of type iib supergravity constrains the allowed positions of the branes the shapes of branes derived from gravity are found to be in a perfect agreement with profiles predicted by the dbi analysis we also discuss related 14bps systems in m theory
|
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|
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|
706.3397
|
Fock representation of the renormalized higher powers of white noise and
the Virasoro--Zamolodchikov--$w_{\infty} *$--Lie algebra
|
The identification of the $*$--Lie algebra of the renormalized higher powers
of white noise (RHPWN) and the analytic continuation of the second quantized
Virasoro--Zamolodchikov--$w_{\infty} *$--Lie algebra of conformal field theory
and high-energy physics, was recently established in \cite{id} based on results
obtained in [1] and [2]. In the present paper we show how the RHPWN Fock
kernels must be truncated in order to be positive definite and we obtain a Fock
representation of the two algebras. We show that the truncated renormalized
higher powers of white noise (TRHPWN) Fock spaces of order $\geq 2$ host the
continuous binomial and beta processes.
|
math-ph math.MP
|
the identification of the lie algebra of the renormalized higher powers of white noise rhpwn and the analytic continuation of the second quantized virasorozamolodchikovw_infty lie algebra of conformal field theory and highenergy physics was recently established in citeid based on results obtained in 1 and 2 in the present paper we show how the rhpwn fock kernels must be truncated in order to be positive definite and we obtain a fock representation of the two algebras we show that the truncated renormalized higher powers of white noise trhpwn fock spaces of order geq 2 host the continuous binomial and beta processes
|
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|
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|
706.3398
|
The slice-ribbon conjecture for 3-stranded pretzel knots
|
We determine the smooth concordance order of the 3-stranded pretzel knots
P(p,q,r) with p,q,r odd. We show that each one of finite order is, in fact,
ribbon, thereby proving the slice-ribbon conjecture for this family of knots.
As corollaries we give new proofs of results first obtained by Fintushel-Stern
and Casson-Gordon.
|
math.GT
|
we determine the smooth concordance order of the 3stranded pretzel knots ppqr with pqr odd we show that each one of finite order is in fact ribbon thereby proving the sliceribbon conjecture for this family of knots as corollaries we give new proofs of results first obtained by fintushelstern and cassongordon
|
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|
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|
706.3399
|
Penguin Loops for Nonleptonic B-Decays in the Standard Model: Is there a
Penguin Puzzle?
|
We compute standard model penguin amplitudes in nonleptonic B-decays to light
charmless mesons using tree amplitude data to fix hadronic parameters. The
leading calculation is carried out for the alphas(mb) penguin contributions
from charm quark, up quark, and magnetic penguin loops in the NDR and HV
renormalization schemes. Power suppressed penguins that are proportional to the
chiral condensate are also computed using a new factorization formula for these
terms, which is derived working to all orders in alphas(sqrt{mb\Lambda}). We
demonstrate using SCET1 that this formula exhibits only small perturbative
phases and does not have endpoint singularities. Due to our use of data to fix
hadronic parameters we obtain significantly more accurate predictions for the
short-distance standard model penguin amplitudes than have been found in the
past. Analyzing data in B-> pi pi, B->K pi, and B->rho rho for the penguin
amplitudes we find that standard model short-distance imaginary parts are an
order of magnitude smaller than current measurements, while real parts are up
to a factor of two smaller with the correct sign. This difference is most
likely a consequence of long-distance charm contributions or new physics.
Constraints on the type of new physics that could help explain the data are
derived, and used to show that current data favors sizeable long-distance
strong phases.
|
hep-ph
|
we compute standard model penguin amplitudes in nonleptonic bdecays to light charmless mesons using tree amplitude data to fix hadronic parameters the leading calculation is carried out for the alphasmb penguin contributions from charm quark up quark and magnetic penguin loops in the ndr and hv renormalization schemes power suppressed penguins that are proportional to the chiral condensate are also computed using a new factorization formula for these terms which is derived working to all orders in alphassqrtmblambda we demonstrate using scet1 that this formula exhibits only small perturbative phases and does not have endpoint singularities due to our use of data to fix hadronic parameters we obtain significantly more accurate predictions for the shortdistance standard model penguin amplitudes than have been found in the past analyzing data in b pi pi bk pi and brho rho for the penguin amplitudes we find that standard model shortdistance imaginary parts are an order of magnitude smaller than current measurements while real parts are up to a factor of two smaller with the correct sign this difference is most likely a consequence of longdistance charm contributions or new physics constraints on the type of new physics that could help explain the data are derived and used to show that current data favors sizeable longdistance strong phases
|
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|
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|
706.34
|
Channel-Adapted Quantum Error Correction
|
Quantum error correction (QEC) is an essential concept for any quantum
information processing device. Typically, QEC is designed with minimal
assumptions about the noise process; this generic assumption exacts a high cost
in efficiency and performance. In physical systems, errors are not likely to be
arbitrary; rather we will have reasonable models for the structure of quantum
decoherence. We may choose quantum error correcting codes and recovery
operations that specifically target the most likely errors.
We present a convex optimization method to determine the optimal (in terms of
average entanglement fidelity) recovery operation for a given channel,
encoding, and information source. This is solvable via a semidefinite program
(SDP). We present computational algorithms to generate near-optimal recovery
operations structured to begin with a projective syndrome measurement. These
structured operations are more computationally scalable than the SDP required
for computing the optimal; we can thus numerically analyze longer codes. Using
Lagrange duality, we bound the performance of the structured recovery
operations and show that they are nearly optimal in many relevant cases.
We present two classes of channel-adapted quantum error correcting codes
specifically designed for the amplitude damping channel. These have
significantly higher rates with shorter block lengths than corresponding
generic quantum error correcting codes. Both classes are stabilizer codes, and
have good fidelity performance with stabilizer recovery operations. The
encoding, syndrome measurement, and syndrome recovery operations can all be
implemented with Clifford group operations.
|
quant-ph
|
quantum error correction qec is an essential concept for any quantum information processing device typically qec is designed with minimal assumptions about the noise process this generic assumption exacts a high cost in efficiency and performance in physical systems errors are not likely to be arbitrary rather we will have reasonable models for the structure of quantum decoherence we may choose quantum error correcting codes and recovery operations that specifically target the most likely errors we present a convex optimization method to determine the optimal in terms of average entanglement fidelity recovery operation for a given channel encoding and information source this is solvable via a semidefinite program sdp we present computational algorithms to generate nearoptimal recovery operations structured to begin with a projective syndrome measurement these structured operations are more computationally scalable than the sdp required for computing the optimal we can thus numerically analyze longer codes using lagrange duality we bound the performance of the structured recovery operations and show that they are nearly optimal in many relevant cases we present two classes of channeladapted quantum error correcting codes specifically designed for the amplitude damping channel these have significantly higher rates with shorter block lengths than corresponding generic quantum error correcting codes both classes are stabilizer codes and have good fidelity performance with stabilizer recovery operations the encoding syndrome measurement and syndrome recovery operations can all be implemented with clifford group operations
|
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|
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|
706.3401
|
Measurement-based quantum computation beyond the one-way model
|
We introduce novel schemes for quantum computing based on local measurements
on entangled resource states. This work elaborates on the framework established
in [Phys. Rev. Lett. 98, 220503 (2007), quant-ph/0609149]. Our method makes use
of tools from many-body physics - matrix product states, finitely correlated
states or projected entangled pairs states - to show how measurements on
entangled states can be viewed as processing quantum information. This work
hence constitutes an instance where a quantum information problem - how to
realize quantum computation - was approached using tools from many-body theory
and not vice versa. We give a more detailed description of the setting, and
present a large number of new examples. We find novel computational schemes,
which differ from the original one-way computer for example in the way the
randomness of measurement outcomes is handled. Also, schemes are presented
where the logical qubits are no longer strictly localized on the resource
state. Notably, we find a great flexibility in the properties of the universal
resource states: They may for example exhibit non-vanishing long-range
correlation functions or be locally arbitrarily close to a pure state. We
discuss variants of Kitaev's toric code states as universal resources, and
contrast this with situations where they can be efficiently classically
simulated. This framework opens up a way of thinking of tailoring resource
states to specific physical systems, such as cold atoms in optical lattices or
linear optical systems.
|
quant-ph
|
we introduce novel schemes for quantum computing based on local measurements on entangled resource states this work elaborates on the framework established in phys rev lett 98 220503 2007 quantph0609149 our method makes use of tools from manybody physics matrix product states finitely correlated states or projected entangled pairs states to show how measurements on entangled states can be viewed as processing quantum information this work hence constitutes an instance where a quantum information problem how to realize quantum computation was approached using tools from manybody theory and not vice versa we give a more detailed description of the setting and present a large number of new examples we find novel computational schemes which differ from the original oneway computer for example in the way the randomness of measurement outcomes is handled also schemes are presented where the logical qubits are no longer strictly localized on the resource state notably we find a great flexibility in the properties of the universal resource states they may for example exhibit nonvanishing longrange correlation functions or be locally arbitrarily close to a pure state we discuss variants of kitaevs toric code states as universal resources and contrast this with situations where they can be efficiently classically simulated this framework opens up a way of thinking of tailoring resource states to specific physical systems such as cold atoms in optical lattices or linear optical systems
|
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|
[-0.10642078617921746, 0.1529332554398697, -0.09028620037007266, 0.052534305705668645, -0.027266971260795126, -0.20560994749969763, 0.08103511684483079, 0.3599756527327649, -0.266832396576343, -0.293693402275929, 0.055338128469378245, -0.24858662844230622, -0.1525898522753066, 0.22516118146975161, -0.0851898985005075, 0.07505371502155195, 0.06590494698156481, 0.0029591322876513005, -0.08200198299701973, -0.24997164143715053, 0.28606442514726, 0.031109456376820478, 0.307129030984462, 0.06273257304590357, 0.050899255484261594, 0.019471251300495603, 0.015202678754196867, 0.0024858324545557085, -0.11906133338647044, 0.1271872221315077, 0.309571265108357, 0.14433289266029453, 0.2715972444285517, -0.45242996743029873, -0.21660393217335577, 0.10309333451112489, 0.1209036892624167, 0.2085454932277334, -0.035860303637341336, -0.3185816929149239, 0.02254294261093373, -0.1993704095158888, -0.10641856952266687, -0.16401606555117051, 0.006990104533084061, -0.03604920382975884, -0.2419923262225221, 0.07626337100151906, 0.04397057320355721, 0.049288775059192075, 0.012912179056919463, -0.06404982632957398, 0.013681034601050551, 0.0891897947922268, -0.08629604964618287, 0.006041740266727689, 0.13521148336281918, -0.11860904632713241, -0.2021846213770281, 0.3804819700044944, -0.012920461192792889, -0.21862621599322427, 0.22218478184608417, -0.07179727829820678, -0.13825123698561978, 0.040822529566028845, 0.17699298629608087, 0.1300663040070187, -0.11585057943264711, 0.07064839184167795, -0.05478327620734015, 0.1899374172192715, 0.0384061470951723, 0.14440347019258098, 0.21545557947829366, 0.10497110515868331, 0.07248779946087819, 0.1799078433718735, -0.021535206426747406, -0.14325126677589572, -0.2890158831445581, -0.18589001978221148, -0.22526773155170857, 0.08940180841556233, -0.0028730891724041176, -0.13777690058898018, 0.39154290271437037, 0.13072413903788876, 0.17547455502714476, 0.020165394014253726, 0.2791697954516048, 0.08819494820452983, 0.04151102301700081, 0.11848809813787027, 0.20380100708292878, 0.11984361260521995, 0.06530992804176133, -0.18287557166211468, 0.04375503522384426, 0.02490435250143966]
|
706.3402
|
Diffusion kinetic parameters from bulk diffusion limited gas release
processes
|
The diffusion of a bulk absorbed gas species out of spherical pebbles is
studied analytically, stressing the usefulness of the time integral of the
diffusion coefficient for analysis of arbitrary temperature schedule
experiments. Highly accurate approximations are introduced where the numeric
evaluation of the analytic expressions takes considerable time. A method is
proposed to extract the diffusion kinetic parameters from a single linear
heating ramp, namely, the activation energy of the diffusion coefficient and
the ratio of the corresponding preexponential factor to the radius of spherical
pebbles.
|
cond-mat.mtrl-sci cond-mat.other
|
the diffusion of a bulk absorbed gas species out of spherical pebbles is studied analytically stressing the usefulness of the time integral of the diffusion coefficient for analysis of arbitrary temperature schedule experiments highly accurate approximations are introduced where the numeric evaluation of the analytic expressions takes considerable time a method is proposed to extract the diffusion kinetic parameters from a single linear heating ramp namely the activation energy of the diffusion coefficient and the ratio of the corresponding preexponential factor to the radius of spherical pebbles
|
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|
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|
706.3403
|
Border trees of complex networks
|
The comprehensive characterization of the structure of complex networks is
essential to understand the dynamical processes which guide their evolution.
The discovery of the scale-free distribution and the small world property of
real networks were fundamental to stimulate more realistic models and to
understand some dynamical processes such as network growth. However, properties
related to the network borders (nodes with degree equal to one), one of its
most fragile parts, remain little investigated and understood. The border nodes
may be involved in the evolution of structures such as geographical networks.
Here we analyze complex networks by looking for border trees, which are defined
as the subgraphs without cycles connected to the remainder of the network
(containing cycles) and terminating into border nodes. In addition to
describing an algorithm for identification of such tree subgraphs, we also
consider a series of their measurements, including their number of vertices,
number of leaves, and depth. We investigate the properties of border trees for
several theoretical models as well as real-world networks.
|
physics.comp-ph
|
the comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution the discovery of the scalefree distribution and the small world property of real networks were fundamental to stimulate more realistic models and to understand some dynamical processes such as network growth however properties related to the network borders nodes with degree equal to one one of its most fragile parts remain little investigated and understood the border nodes may be involved in the evolution of structures such as geographical networks here we analyze complex networks by looking for border trees which are defined as the subgraphs without cycles connected to the remainder of the network containing cycles and terminating into border nodes in addition to describing an algorithm for identification of such tree subgraphs we also consider a series of their measurements including their number of vertices number of leaves and depth we investigate the properties of border trees for several theoretical models as well as realworld networks
|
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|
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|
706.3404
|
Disk-Planet Interaction Simulations: (I) Baroclinic Generation of
Vortensity and Non-Axisymmetric Rossby-Wave-Instability
|
We use a multi-dimensional hydrodynamics code to study the gravitational
interaction between an embedded planet and a protoplanetary disk with emphasis
on the generation of vortensity (potential vorticity) through a Baroclinic
Instability and subsequent development of Rossby-Wave-Instability (RWI). It is
found that the generation of potential vorticity is very common and effective
in non-barotropic disks through the Baroclinic Instability, especially within
the coorbital region. Our results also complement previous studies by
\citet{KLL03} that non-axisymmetric RWIs are likely to develop at local minima
of potential vorticity distribution that are generated by the interaction
between a planet and a inviscid barotropic disk. This second instability
appears to be very common and robust, regardless of the equation of state,
initial density distribution, and rotational law of the disk. The development
of RWIs results in non-axisymmetric density blobs, which exert stronger torques
onto the planet when they travel in the vicinity of the planet. As a result of
that, large amplitude oscillations are introduced to the time behavior of the
total torque acted on the planet by the disk. In our current simulations, RWIs
do not change the overall picture of inward orbital migration but bring in a
non-monotonic behavior to the migration speed. As a side effect, RWIs also
introduce interesting structures into the disk. These structures may help the
formation of Earth-like planets in the Habitable Zone or Hot Earths interior to
a close-in giant planet.
|
astro-ph
|
we use a multidimensional hydrodynamics code to study the gravitational interaction between an embedded planet and a protoplanetary disk with emphasis on the generation of vortensity potential vorticity through a baroclinic instability and subsequent development of rossbywaveinstability rwi it is found that the generation of potential vorticity is very common and effective in nonbarotropic disks through the baroclinic instability especially within the coorbital region our results also complement previous studies by citetkll03 that nonaxisymmetric rwis are likely to develop at local minima of potential vorticity distribution that are generated by the interaction between a planet and a inviscid barotropic disk this second instability appears to be very common and robust regardless of the equation of state initial density distribution and rotational law of the disk the development of rwis results in nonaxisymmetric density blobs which exert stronger torques onto the planet when they travel in the vicinity of the planet as a result of that large amplitude oscillations are introduced to the time behavior of the total torque acted on the planet by the disk in our current simulations rwis do not change the overall picture of inward orbital migration but bring in a nonmonotonic behavior to the migration speed as a side effect rwis also introduce interesting structures into the disk these structures may help the formation of earthlike planets in the habitable zone or hot earths interior to a closein giant planet
|
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|
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|
706.3405
|
On Point Coverings of Boxes in $\mathbb R^d$
|
Families of boxes in $\mathbb R^d$ are considered. In the paper an upper
bound on the size of a minimum transversal in terms of the space dimension and
the independence number of the given family was improved.
|
math.CO
|
families of boxes in mathbb rd are considered in the paper an upper bound on the size of a minimum transversal in terms of the space dimension and the independence number of the given family was improved
|
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|
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|
706.3406
|
A Universal Interacting Crossover Regime in Two-Dimensional Quantum Dots
|
Interacting electrons in quantum dots with large Thouless number $g$ in the
three classical random matrix symmetry classes are well-understood. When a
specific type of spin-orbit coupling known to be dominant in two dimensional
semiconductor quantum dots is introduced, we show that a new interacting
quantum critical crossover energy scale emerges and low-energy quasiparticles
generically have a decay width proportional to their energy. The low-energy
physics of this system is an example of a universal interacting crossover
regime.
|
cond-mat.mes-hall
|
interacting electrons in quantum dots with large thouless number g in the three classical random matrix symmetry classes are wellunderstood when a specific type of spinorbit coupling known to be dominant in two dimensional semiconductor quantum dots is introduced we show that a new interacting quantum critical crossover energy scale emerges and lowenergy quasiparticles generically have a decay width proportional to their energy the lowenergy physics of this system is an example of a universal interacting crossover regime
|
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|
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|
706.3407
|
Abundances of Planetary Nebula M1-42
|
The spectra of the planetary nebula M1-42 is reanalysed using spectral
measurements made in the mid-infrared with the Spitzer Space Telescope. The aim
is to determine the chemical composition of this object. We also make use of
ISO, IUE and ground based spectra. Abundances determined from the mid- and
far-infrared lines, which are insensitive to electron temperature, are used as
the basis for the determination of the composition, which are found to
substantially differ from earlier results. High values of neon, argon and
sulfur are found. They are higher than in other PN, with the exception of
NGC6153, a nebula of very similar abundances. The high values of helium and
nitrogen found indicate that the second dredge-up and hot bottom burning has
occurred in the course of evolution and that the central star was originally
more massive than 4Msun. The present temperature and luminosity of the central
star is determined and at first sight may be inconsistent with such a high
mass.
|
astro-ph
|
the spectra of the planetary nebula m142 is reanalysed using spectral measurements made in the midinfrared with the spitzer space telescope the aim is to determine the chemical composition of this object we also make use of iso iue and ground based spectra abundances determined from the mid and farinfrared lines which are insensitive to electron temperature are used as the basis for the determination of the composition which are found to substantially differ from earlier results high values of neon argon and sulfur are found they are higher than in other pn with the exception of ngc6153 a nebula of very similar abundances the high values of helium and nitrogen found indicate that the second dredgeup and hot bottom burning has occurred in the course of evolution and that the central star was originally more massive than 4msun the present temperature and luminosity of the central star is determined and at first sight may be inconsistent with such a high mass
|
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|
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|
706.3408
|
Current Renormalization in Finite Volume
|
For finite volume field theories with discrete translational invariance,
conserved currents can be additively renormalized by infrared effects. We
demonstrate this for pions using chiral perturbation theory coupled to
electromagnetism in a periodic box. Gauge invariant single particle effective
theories are constructed to explain these results. In such theories, current
renormalization arises from operators involving the zero mode of the gauge
field. No contradictions with Ward identities, or low-energy theorems are
encountered.
|
hep-lat hep-ph nucl-th
|
for finite volume field theories with discrete translational invariance conserved currents can be additively renormalized by infrared effects we demonstrate this for pions using chiral perturbation theory coupled to electromagnetism in a periodic box gauge invariant single particle effective theories are constructed to explain these results in such theories current renormalization arises from operators involving the zero mode of the gauge field no contradictions with ward identities or lowenergy theorems are encountered
|
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|
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|
706.3409
|
Spinless photon dark matter from two universal extra dimensions
|
We explore the properties of dark matter in theories with two universal extra
dimensions, where the lightest Kaluza-Klein state is a spin-0 neutral particle,
representing a six-dimensional photon polarized along the extra dimensions.
Annihilation of this 'spinless photon' proceeds predominantly through Higgs
boson exchange, and is largely independent of other Kaluza-Klein particles. The
measured relic abundance sets an upper limit on the spinless photon mass of 500
GeV, which decreases to almost 200 GeV if the Higgs boson is light. The
phenomenology of this dark matter candidate is strikingly different from
Kaluza-Klein dark matter in theories with one universal extra dimension.
Elastic scattering of the spinless photon with quarks is helicity suppressed,
making its direct detection challenging, although possible at upcoming
experiments. The prospects for indirect detection with gamma rays and
antimatter are similar to those of neutralinos. The rates predicted at neutrino
telescopes are below the sensitivity of next-generation experiments.
|
hep-ph astro-ph
|
we explore the properties of dark matter in theories with two universal extra dimensions where the lightest kaluzaklein state is a spin0 neutral particle representing a sixdimensional photon polarized along the extra dimensions annihilation of this spinless photon proceeds predominantly through higgs boson exchange and is largely independent of other kaluzaklein particles the measured relic abundance sets an upper limit on the spinless photon mass of 500 gev which decreases to almost 200 gev if the higgs boson is light the phenomenology of this dark matter candidate is strikingly different from kaluzaklein dark matter in theories with one universal extra dimension elastic scattering of the spinless photon with quarks is helicity suppressed making its direct detection challenging although possible at upcoming experiments the prospects for indirect detection with gamma rays and antimatter are similar to those of neutralinos the rates predicted at neutrino telescopes are below the sensitivity of nextgeneration experiments
|
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|
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|
706.341
|
Noncommuting Flux Sectors in a Tabletop Experiment
|
We show how one can use superconductors and Josephson junctions to create a
laboratory system which can explore the groundstates of the free
electromagnetic field in a 3-manifold with torsion in its cohomology.
|
hep-th
|
we show how one can use superconductors and josephson junctions to create a laboratory system which can explore the groundstates of the free electromagnetic field in a 3manifold with torsion in its cohomology
|
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|
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|
706.3411
|
Cavity QED with a Bose-Einstein condensate
|
Cavity quantum electrodynamics (cavity QED) describes the coherent
interaction between matter and an electromagnetic field confined within a
resonator structure, and is providing a useful platform for developing concepts
in quantum information processing. By using high-quality resonators, a strong
coupling regime can be reached experimentally in which atoms coherently
exchange a photon with a single light-field mode many times before dissipation
sets in. This has led to fundamental studies with both microwave and optical
resonators. To meet the challenges posed by quantum state engineering and
quantum information processing, recent experiments have focused on laser
cooling and trapping of atoms inside an optical cavity. However, the tremendous
degree of control over atomic gases achieved with Bose-Einstein condensation
has so far not been used for cavity QED. Here we achieve the strong coupling of
a Bose-Einstein condensate to the quantized field of an ultrahigh-finesse
optical cavity and present a measurement of its eigenenergy spectrum. This is a
conceptually new regime of cavity QED, in which all atoms occupy a single mode
of a matter-wave field and couple identically to the light field, sharing a
single excitation. This opens possibilities ranging from quantum communication
to a wealth of new phenomena that can be expected in the many-body physics of
quantum gases with cavity-mediated interactions.
|
quant-ph cond-mat.other
|
cavity quantum electrodynamics cavity qed describes the coherent interaction between matter and an electromagnetic field confined within a resonator structure and is providing a useful platform for developing concepts in quantum information processing by using highquality resonators a strong coupling regime can be reached experimentally in which atoms coherently exchange a photon with a single lightfield mode many times before dissipation sets in this has led to fundamental studies with both microwave and optical resonators to meet the challenges posed by quantum state engineering and quantum information processing recent experiments have focused on laser cooling and trapping of atoms inside an optical cavity however the tremendous degree of control over atomic gases achieved with boseeinstein condensation has so far not been used for cavity qed here we achieve the strong coupling of a boseeinstein condensate to the quantized field of an ultrahighfinesse optical cavity and present a measurement of its eigenenergy spectrum this is a conceptually new regime of cavity qed in which all atoms occupy a single mode of a matterwave field and couple identically to the light field sharing a single excitation this opens possibilities ranging from quantum communication to a wealth of new phenomena that can be expected in the manybody physics of quantum gases with cavitymediated interactions
|
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|
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|
706.3412
|
On Canonical Forms of Complete Problems via First-order Projections
|
The class of problems complete for NP via first-order reductions is known to
be characterized by existential second-order sentences of a fixed form. All
such sentences are built around the so-called generalized IS-form of the
sentence that defines Independent-Set. This result can also be understood as
that every sentence that defines a NP-complete problem P can be decomposed in
two disjuncts such that the first one characterizes a fragment of P as hard as
Independent-Set and the second the rest of P. That is, a decomposition that
divides every such sentence into a quotient and residue modulo Independent-Set.
In this paper, we show that this result can be generalized over a wide
collection of complexity classes, including the so-called nice classes.
Moreover, we show that such decomposition can be done for any complete problem
with respect to the given class, and that two such decompositions are
non-equivalent in general. Interestingly, our results are based on simple and
well-known properties of first-order reductions.ow that this result can be
generalized over a wide collection of complexity classes, including the
so-called nice classes. Moreover, we show that such decomposition can be done
for any complete problem with respect to the given class, and that two such
decompositions are non-equivalent in general. Interestingly, our results are
based on simple and well-known properties of first-order reductions.
|
cs.CC
|
the class of problems complete for np via firstorder reductions is known to be characterized by existential secondorder sentences of a fixed form all such sentences are built around the socalled generalized isform of the sentence that defines independentset this result can also be understood as that every sentence that defines a npcomplete problem p can be decomposed in two disjuncts such that the first one characterizes a fragment of p as hard as independentset and the second the rest of p that is a decomposition that divides every such sentence into a quotient and residue modulo independentset in this paper we show that this result can be generalized over a wide collection of complexity classes including the socalled nice classes moreover we show that such decomposition can be done for any complete problem with respect to the given class and that two such decompositions are nonequivalent in general interestingly our results are based on simple and wellknown properties of firstorder reductionsow that this result can be generalized over a wide collection of complexity classes including the socalled nice classes moreover we show that such decomposition can be done for any complete problem with respect to the given class and that two such decompositions are nonequivalent in general interestingly our results are based on simple and wellknown properties of firstorder reductions
|
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|
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|
706.3413
|
Orbital ordering in the ferromagnetic insulator Cs$_2$AgF$_4$ from first
principles
|
We found, using density-functional theory calculations within the generalized
gradient approximation, that Cs$_2$AgF$_4$ is stabilized in the insulating
orthorhombic phase rather than in the metallic tetragonal phase. The lattice
distortion present in the orthorhombic phase corresponds to the
$x^2-z^2$/$y^2-z^2$ hole-orbital ordering of the Ag$^{2+}$ $4d^9$ ions, and
this orbital ordering leads to the observed ferromagnetism, as confirmed by the
present total-energy calculations. This picture holds in the presence of
moderate 4d-electron correlation. The results are compared with the picture of
ferromagnetism based on the metallic tetragonal phase.
|
cond-mat.mtrl-sci cond-mat.str-el
|
we found using densityfunctional theory calculations within the generalized gradient approximation that cs_2agf_4 is stabilized in the insulating orthorhombic phase rather than in the metallic tetragonal phase the lattice distortion present in the orthorhombic phase corresponds to the x2z2y2z2 holeorbital ordering of the ag2 4d9 ions and this orbital ordering leads to the observed ferromagnetism as confirmed by the present totalenergy calculations this picture holds in the presence of moderate 4delectron correlation the results are compared with the picture of ferromagnetism based on the metallic tetragonal phase
|
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|
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|
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