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709.2335
Higgs boson in non-minimal models at the LHC
While approaching the start of the data taking at the LHC, ATLAS and CMS perform studies involving the Higgs boson within non-minimal models besides Supersymmetric models. Highlights from both experiments are summarized; all results refer to LHC low luminosity conditions of 10^33 cm^-2 s^-1.
hep-ex
while approaching the start of the data taking at the lhc atlas and cms perform studies involving the higgs boson within nonminimal models besides supersymmetric models highlights from both experiments are summarized all results refer to lhc low luminosity conditions of 1033 cm2 s1
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709.2336
Fractal Weyl law for quantum fractal eigenstates
The properties of the resonant Gamow states are studied numerically in the semiclassical limit for the quantum Chirikov standard map with absorption. It is shown that the number of such states is described by the fractal Weyl law and their Husimi distributions closely follow the strange repeller set formed by classical orbits nonescaping in future times. For large matrices the distribution of escape rates converges to a fixed shape profile characterized by a spectral gap related to the classical escape rate.
cond-mat.dis-nn cond-mat.mes-hall math-ph math.MP nlin.CD
the properties of the resonant gamow states are studied numerically in the semiclassical limit for the quantum chirikov standard map with absorption it is shown that the number of such states is described by the fractal weyl law and their husimi distributions closely follow the strange repeller set formed by classical orbits nonescaping in future times for large matrices the distribution of escape rates converges to a fixed shape profile characterized by a spectral gap related to the classical escape rate
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709.2337
On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory
Elliptic pseudoanalytic function theory was considered independently by Bers and Vekua decades ago. In this paper we develop a hyperbolic analogue of pseudoanalytic function theory using the algebra of hyperbolic numbers. We consider the Klein-Gordon equation with a potential. With the aid of one particular solution we factorize the Klein-Gordon operator in terms of two Vekua-type operators. We show that real parts of the solutions of one of these Vekua-type operators are solutions of the considered Klein-Gordon equation. Using hyperbolic pseudoanalytic function theory, we then obtain explicit construction of infinite systems of solutions of the Klein-Gordon equation with potential. Finally, we give some examples of application of the proposed procedure.
math-ph math.MP
elliptic pseudoanalytic function theory was considered independently by bers and vekua decades ago in this paper we develop a hyperbolic analogue of pseudoanalytic function theory using the algebra of hyperbolic numbers we consider the kleingordon equation with a potential with the aid of one particular solution we factorize the kleingordon operator in terms of two vekuatype operators we show that real parts of the solutions of one of these vekuatype operators are solutions of the considered kleingordon equation using hyperbolic pseudoanalytic function theory we then obtain explicit construction of infinite systems of solutions of the kleingordon equation with potential finally we give some examples of application of the proposed procedure
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709.2338
Symplectic reflection algebras in positive characteristic
Basic properties of symplectic reflection algebras over an algebraically closed field k of positive characteristic are laid out. These algebras are always finite modules over their centres, in contrast to the situation in characteristic 0. For the subclass of rational Cherednik algebras, we determine the PI-degree and the Goldie rank, and show that the Azumaya and smooth loci of the centre coincide.
math.RA math.RT
basic properties of symplectic reflection algebras over an algebraically closed field k of positive characteristic are laid out these algebras are always finite modules over their centres in contrast to the situation in characteristic 0 for the subclass of rational cherednik algebras we determine the pidegree and the goldie rank and show that the azumaya and smooth loci of the centre coincide
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709.2339
Radiative decay of the dynamically generated open and hidden charm scalar meson resonances D_{s0}^*(2317) and X(3700)
We present the formalism for the decay of dynamically generated scalar mesons with open- or hidden-charm and give results for the decay of D^*_{s0} (2317) to \gamma D_s^* plus that of a hidden charm scalar meson state predicted by the theory around 3700 MeV decaying into \gamma J/\psi.
hep-ph
we present the formalism for the decay of dynamically generated scalar mesons with open or hiddencharm and give results for the decay of d_s0 2317 to gamma d_s plus that of a hidden charm scalar meson state predicted by the theory around 3700 mev decaying into gamma jpsi
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709.234
Robust Dimension Reduction, Fusion Frames, and Grassmannian Packings
We consider estimating a random vector from its noisy projections onto low dimensional subspaces constituting a fusion frame. A fusion frame is a collection of subspaces, for which the sum of the projection operators onto the subspaces is bounded below and above by constant multiples of the identity operator. We first determine the minimum mean-squared error (MSE) in linearly estimating the random vector of interest from its fusion frame projections, in the presence of white noise. We show that MSE assumes its minimum value when the fusion frame is tight. We then analyze the robustness of the constructed linear minimum MSE (LMMSE) estimator to erasures of the fusion frame subspaces. We prove that tight fusion frames consisting of equi-dimensional subspaces have maximum robustness (in the MSE sense) with respect to erasures of one subspace, and that the optimal subspace dimension depends on signal-to-noise ratio (SNR). We also prove that tight fusion frames consisting of equi-dimensional subspaces with equal pairwise chordal distances are most robust with respect to two and more subspace erasures. We call such fusion frames equi-distance tight fusion frames, and prove that the chordal distance between subspaces in such fusion frames meets the so-called simplex bound, and thereby establish connections between equi-distance tight fusion frames and optimal Grassmannian packings. Finally, we present several examples for construction of equi-distance tight fusion frames.
math.FA
we consider estimating a random vector from its noisy projections onto low dimensional subspaces constituting a fusion frame a fusion frame is a collection of subspaces for which the sum of the projection operators onto the subspaces is bounded below and above by constant multiples of the identity operator we first determine the minimum meansquared error mse in linearly estimating the random vector of interest from its fusion frame projections in the presence of white noise we show that mse assumes its minimum value when the fusion frame is tight we then analyze the robustness of the constructed linear minimum mse lmmse estimator to erasures of the fusion frame subspaces we prove that tight fusion frames consisting of equidimensional subspaces have maximum robustness in the mse sense with respect to erasures of one subspace and that the optimal subspace dimension depends on signaltonoise ratio snr we also prove that tight fusion frames consisting of equidimensional subspaces with equal pairwise chordal distances are most robust with respect to two and more subspace erasures we call such fusion frames equidistance tight fusion frames and prove that the chordal distance between subspaces in such fusion frames meets the socalled simplex bound and thereby establish connections between equidistance tight fusion frames and optimal grassmannian packings finally we present several examples for construction of equidistance tight fusion frames
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709.2341
Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
A network of quantum-mechanical systems showing long lived phase coherence of its quantum states could be used for processing quantum information. As with classical information processing, a quantum processor requires information bits (qubits) that can be independently addressed and read out, long-term memory elements to store arbitrary quantum states, and the ability to transfer quantum information through a coherent communication bus accessible to a large number of qubits. Superconducting qubits made with scalable microfabrication techniques are a promising candidate for the realization of a large scale quantum information processor. Although these systems have successfully passed tests of coherent coupling for up to four qubits, communication of individual quantum states between qubits via a quantum bus has not yet been demonstrated. Here, we perform an experiment demonstrating the ability to coherently transfer quantum states between two superconducting Josephson phase qubits through a rudimentary quantum bus formed by a single, on chip, superconducting transmission line resonant cavity of length 7 mm. After preparing an initial quantum state with the first qubit, this quantum information is transferred and stored as a nonclassical photon state of the resonant cavity, then retrieved at a later time by the second qubit connected to the opposite end of the cavity. Beyond simple communication, these results suggest that a high quality factor superconducting cavity could also function as a long term memory element. The basic architecture presented here is scalable, offering the possibility for the coherent communication between a large number of superconducting qubits.
cond-mat.mes-hall cond-mat.supr-con
a network of quantummechanical systems showing long lived phase coherence of its quantum states could be used for processing quantum information as with classical information processing a quantum processor requires information bits qubits that can be independently addressed and read out longterm memory elements to store arbitrary quantum states and the ability to transfer quantum information through a coherent communication bus accessible to a large number of qubits superconducting qubits made with scalable microfabrication techniques are a promising candidate for the realization of a large scale quantum information processor although these systems have successfully passed tests of coherent coupling for up to four qubits communication of individual quantum states between qubits via a quantum bus has not yet been demonstrated here we perform an experiment demonstrating the ability to coherently transfer quantum states between two superconducting josephson phase qubits through a rudimentary quantum bus formed by a single on chip superconducting transmission line resonant cavity of length 7 mm after preparing an initial quantum state with the first qubit this quantum information is transferred and stored as a nonclassical photon state of the resonant cavity then retrieved at a later time by the second qubit connected to the opposite end of the cavity beyond simple communication these results suggest that a high quality factor superconducting cavity could also function as a long term memory element the basic architecture presented here is scalable offering the possibility for the coherent communication between a large number of superconducting qubits
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709.2342
The abelian cosets of the Heisenberg group
In this paper we study the abelian cosets of the H(4) WZW model. They coincide or are related to several interesting three-dimensional backgrounds such as the Melvin model, the conical point-particle space-times and the null orbifold. We perform a detailed CFT analysis of all the models and compute the coset characters as well as some typical three-point couplings of coset primaries.
hep-th
in this paper we study the abelian cosets of the h4 wzw model they coincide or are related to several interesting threedimensional backgrounds such as the melvin model the conical pointparticle spacetimes and the null orbifold we perform a detailed cft analysis of all the models and compute the coset characters as well as some typical threepoint couplings of coset primaries
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709.2343
A Soft X-ray Polarimeter Designed for Broad-band X-ray Telescopes
A novel approach for measuring linear X-ray polarization over a broad-band using conventional imaging optics and cameras is described. A new type of high efficiency grating, called the critical angle transmission grating is used to disperse soft X-rays radially from the telescope axis. A set of multilayer-coated paraboloids re-image the dispersed X-rays to rings in the focal plane. The intensity variation around these rings is measured to determine three Stokes parameters: I, Q, and U. By laterally grading the multilayer optics and matching the dispersion of the gratings, one may take advantage of high multilayer reflectivities and achieve modulation factors over 50% over the entire 0.2 to 0.8 keV band. A sample design is shown that could be used with the Constellation-X optics.
astro-ph
a novel approach for measuring linear xray polarization over a broadband using conventional imaging optics and cameras is described a new type of high efficiency grating called the critical angle transmission grating is used to disperse soft xrays radially from the telescope axis a set of multilayercoated paraboloids reimage the dispersed xrays to rings in the focal plane the intensity variation around these rings is measured to determine three stokes parameters i q and u by laterally grading the multilayer optics and matching the dispersion of the gratings one may take advantage of high multilayer reflectivities and achieve modulation factors over 50 over the entire 02 to 08 kev band a sample design is shown that could be used with the constellationx optics
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709.2344
Buckling and force propagation along intracellular microtubules
Motivated by recent experiments showing the buckling of microtubules in cells, we study theoretically the mechanical response of, and force propagation along elastic filaments embedded in a non-linear elastic medium. We find that, although embedded microtubules still buckle when their compressive load exceeds the critical value $f_c$ found earlier, the resulting deformation is restricted to a penetration depth that depends on both the non-linear material properties of the surrounding cytoskeleton, as well as the direct coupling of the microtubule to the cytoskeleton. The deformation amplitude depends on the applied load $f$ as $(f- f_c)^{1/2}$. This work shows how the range of compressive force transmission by microtubules can be as large as tens of microns and is governed by the mechanical coupling to the surrounding cytoskeleton.
cond-mat.soft cond-mat.mtrl-sci
motivated by recent experiments showing the buckling of microtubules in cells we study theoretically the mechanical response of and force propagation along elastic filaments embedded in a nonlinear elastic medium we find that although embedded microtubules still buckle when their compressive load exceeds the critical value f_c found earlier the resulting deformation is restricted to a penetration depth that depends on both the nonlinear material properties of the surrounding cytoskeleton as well as the direct coupling of the microtubule to the cytoskeleton the deformation amplitude depends on the applied load f as f f_c12 this work shows how the range of compressive force transmission by microtubules can be as large as tens of microns and is governed by the mechanical coupling to the surrounding cytoskeleton
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709.2345
The twisted fourth moment of the Riemann zeta function
We compute the asymptotics of the fourth moment of the Riemann zeta function times an arbitrary Dirichlet polynomial of length $T^{{1/11} - \epsilon}$
math.NT
we compute the asymptotics of the fourth moment of the riemann zeta function times an arbitrary dirichlet polynomial of length t111 epsilon
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709.2346
Pushdown Compression
The pressing need for eficient compression schemes for XML documents has recently been focused on stack computation [6, 9], and in particular calls for a formulation of information-lossless stack or pushdown compressors that allows a formal analysis of their performance and a more ambitious use of the stack in XML compression, where so far it is mainly connected to parsing mechanisms. In this paper we introduce the model of pushdown compressor, based on pushdown transducers that compute a single injective function while keeping the widest generality regarding stack computation. The celebrated Lempel-Ziv algorithm LZ78 [10] was introduced as a general purpose compression algorithm that outperforms finite-state compressors on all sequences. We compare the performance of the Lempel-Ziv algorithm with that of the pushdown compressors, or compression algorithms that can be implemented with a pushdown transducer. This comparison is made without any a priori assumption on the data's source and considering the asymptotic compression ratio for infinite sequences. We prove that Lempel-Ziv is incomparable with pushdown compressors.
cs.IT cs.CC math.IT
the pressing need for eficient compression schemes for xml documents has recently been focused on stack computation 6 9 and in particular calls for a formulation of informationlossless stack or pushdown compressors that allows a formal analysis of their performance and a more ambitious use of the stack in xml compression where so far it is mainly connected to parsing mechanisms in this paper we introduce the model of pushdown compressor based on pushdown transducers that compute a single injective function while keeping the widest generality regarding stack computation the celebrated lempelziv algorithm lz78 10 was introduced as a general purpose compression algorithm that outperforms finitestate compressors on all sequences we compare the performance of the lempelziv algorithm with that of the pushdown compressors or compression algorithms that can be implemented with a pushdown transducer this comparison is made without any a priori assumption on the datas source and considering the asymptotic compression ratio for infinite sequences we prove that lempelziv is incomparable with pushdown compressors
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709.2347
Adding flavour to twistor strings
Twistor string theory is known to describe a wide variety of field theories at tree-level and has proved extremely useful in making substantial progress in perturbative gauge theory. We explore the twistor dual description of a class of N=2 UV-finite super-Yang-Mills theories with fundamental flavour by adding 'flavour' branes to the topological B-model on super-twistor space and comment on the appearance of these objects. Evidence for the correspondence is provided by matching amplitudes on both sides.
hep-th
twistor string theory is known to describe a wide variety of field theories at treelevel and has proved extremely useful in making substantial progress in perturbative gauge theory we explore the twistor dual description of a class of n2 uvfinite superyangmills theories with fundamental flavour by adding flavour branes to the topological bmodel on supertwistor space and comment on the appearance of these objects evidence for the correspondence is provided by matching amplitudes on both sides
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709.2348
Lorentz Violation in a Diffeomorphism-Invariant Theory
In a diffeomorphism invariant theory, symmetry breaking may be a mask for coordinate choice.
hep-th gr-qc
in a diffeomorphism invariant theory symmetry breaking may be a mask for coordinate choice
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709.2349
First simultaneous multiwavelength observations of the BL Lac object 1ES1959+650 in a steady state with MAGIC and Suzaku/Swift
Simultaneous multiwavelength observations were conducted for the BL Lac object 1ES1959+650 in a steady state in May 2006 with the MAGIC telescope and the X-ray satellites Suzaku and Swift. Swift can also provide multi-filter photometry in the UV-optical band. The source was clearly detected in all observed energy bands, from the optical to TeV. With respect to previous observations the source was in a low state in the very high energy (VHE) band (~10% Crab flux above 300 GeV) but in a relatively high state in the X-ray band. The light curves showed rather stable activities, with no significant variability in the VHE gamma-ray emission and small variability (~10% amplitude) in the X-ray band. The observed spectral energy distribution in the steady state can be described by a one-zone synchrotron self-Compton model.
astro-ph
simultaneous multiwavelength observations were conducted for the bl lac object 1es1959650 in a steady state in may 2006 with the magic telescope and the xray satellites suzaku and swift swift can also provide multifilter photometry in the uvoptical band the source was clearly detected in all observed energy bands from the optical to tev with respect to previous observations the source was in a low state in the very high energy vhe band 10 crab flux above 300 gev but in a relatively high state in the xray band the light curves showed rather stable activities with no significant variability in the vhe gammaray emission and small variability 10 amplitude in the xray band the observed spectral energy distribution in the steady state can be described by a onezone synchrotron selfcompton model
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709.235
Cosmological Constraints on Unparticles as Continuous Mass Scalars
We study the cosmological constraints on unparticle interactions and the temperature of the Universe for the case where unparticle states can be modelled as continuous mass particles with lifetime > 1s. By considering thermal background quark decay to continuous mass scalars via a scalar operator of dimension d_{U}, we show that the condition that the Universe is not dominated by scalars at nucleosynthesis imposes a lower bound on the scale of the interaction of the unparticle sector, with M_{U} > 20-2600 TeV for \Lambda_{U} > 1 \TeV$, 1.1 < d_{U} < 2.0 and 2 < d_{BZ} < 4. The existence of a long-lived scalar sector also imposes an upper bound on the temperature of the Universe during radiation-domination, which can be as low as a TeV for M_{U} close to its lower bound.
hep-ph astro-ph hep-th
we study the cosmological constraints on unparticle interactions and the temperature of the universe for the case where unparticle states can be modelled as continuous mass particles with lifetime 1s by considering thermal background quark decay to continuous mass scalars via a scalar operator of dimension d_u we show that the condition that the universe is not dominated by scalars at nucleosynthesis imposes a lower bound on the scale of the interaction of the unparticle sector with m_u 202600 tev for lambda_u 1 tev 11 d_u 20 and 2 d_bz 4 the existence of a longlived scalar sector also imposes an upper bound on the temperature of the universe during radiationdomination which can be as low as a tev for m_u close to its lower bound
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709.2351
Electronic structure of the ferromagnetic superconductor UCoGe from first principles
The superconductor UCoGe is analyzed with electronic structure calculations using Linearized Augmented Plane Wave method based on Density Functional Theory. Ferromagnetic and antiferromagnetic calculations with and without correlations (via LDA+U) were done. In this compound the Fermi level is situated in a region where the main contribution to DOS comes from the U-5f orbital. The magnetic moment is mainly due to the Co-3d orbital with a small contribution from the U-5f orbital. The possibility of fully non-collinear magnetism in this compound seems to be ruled out. These results are compared with the isostructural compound URhGe, in this case the magnetism comes mostly from the U-5f orbital.
cond-mat.supr-con
the superconductor ucoge is analyzed with electronic structure calculations using linearized augmented plane wave method based on density functional theory ferromagnetic and antiferromagnetic calculations with and without correlations via ldau were done in this compound the fermi level is situated in a region where the main contribution to dos comes from the u5f orbital the magnetic moment is mainly due to the co3d orbital with a small contribution from the u5f orbital the possibility of fully noncollinear magnetism in this compound seems to be ruled out these results are compared with the isostructural compound urhge in this case the magnetism comes mostly from the u5f orbital
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709.2352
The advantage of L\'evy strategies in intermittent search processes
Search strategies based on random walk processes with long-tailed jump length distributions (Levy walks) on the one hand and intermittent behavior switching between local search and ballistic relocation phases on the other, have been previously shown to be beneficial in stochastic target finding problems. We here study a combination of both mechanisms: an intermittent process with Levy distributed relocations. We demonstrate how Levy distributed relocations reduce oversampling and thus further optimize the intermittent search strategy in the critical situation of rare targets.
cond-mat.stat-mech
search strategies based on random walk processes with longtailed jump length distributions levy walks on the one hand and intermittent behavior switching between local search and ballistic relocation phases on the other have been previously shown to be beneficial in stochastic target finding problems we here study a combination of both mechanisms an intermittent process with levy distributed relocations we demonstrate how levy distributed relocations reduce oversampling and thus further optimize the intermittent search strategy in the critical situation of rare targets
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709.2353
A spectral atlas of post-main-sequence stars in omega Centauri: kinematics, evolution, enrichment and interstellar medium
We present a spectral atlas of the post-main-sequence population of the most massive Galactic globular cluster, omega Centauri. Spectra were obtained of more than 1500 stars selected as uniformly as possible from across the (B, B-V) colour-magnitude diagram of the proper motion cluster member candidates of van Leeuwen et al. (2000). The spectra were obtained with the 2dF multi-fibre spectrograph at the Anglo Australian Telescope, and cover the approximate range lambda~3840-4940 Angstroem. We measure the radial velocities, effective temperatures, metallicities and surface gravities by fitting ATLAS9 stellar atmosphere models. We analyse the cluster membership and stellar kinematics, interstellar absorption in the Ca II K line at 3933 Angstroem, the RR Lyrae instability strip and the extreme horizontal branch, the metallicity spread and bimodal CN abundance distribution of red giants, nitrogen and s-process enrichment, carbon stars, pulsation-induced Balmer line emission on the asymptotic giant branch (AGB), and the nature of the post-AGB and UV-bright stars. Membership is confirmed for the vast majority of stars, and the radial velocities clearly show the rotation of the cluster core. We identify long-period RR Lyrae-type variables with low gravity, and low-amplitude variables coinciding with warm RR Lyrae stars. A barium enhancement in the coolest red giants indicates that 3rd dredge-up operates in AGB stars in omega Cen. This is distinguished from the pre-enrichment by more massive AGB stars, which is also seen in our data. The properties of the AGB, post-AGB and UV-bright stars suggest that RGB mass loss may be less efficient at very low metallicity, [Fe/H]<<-1, increasing the importance of mass loss on the AGB. The catalogue and spectra are made available via CDS.
astro-ph
we present a spectral atlas of the postmainsequence population of the most massive galactic globular cluster omega centauri spectra were obtained of more than 1500 stars selected as uniformly as possible from across the b bv colourmagnitude diagram of the proper motion cluster member candidates of van leeuwen et al 2000 the spectra were obtained with the 2df multifibre spectrograph at the anglo australian telescope and cover the approximate range lambda38404940 angstroem we measure the radial velocities effective temperatures metallicities and surface gravities by fitting atlas9 stellar atmosphere models we analyse the cluster membership and stellar kinematics interstellar absorption in the ca ii k line at 3933 angstroem the rr lyrae instability strip and the extreme horizontal branch the metallicity spread and bimodal cn abundance distribution of red giants nitrogen and sprocess enrichment carbon stars pulsationinduced balmer line emission on the asymptotic giant branch agb and the nature of the postagb and uvbright stars membership is confirmed for the vast majority of stars and the radial velocities clearly show the rotation of the cluster core we identify longperiod rr lyraetype variables with low gravity and lowamplitude variables coinciding with warm rr lyrae stars a barium enhancement in the coolest red giants indicates that 3rd dredgeup operates in agb stars in omega cen this is distinguished from the preenrichment by more massive agb stars which is also seen in our data the properties of the agb postagb and uvbright stars suggest that rgb mass loss may be less efficient at very low metallicity feh1 increasing the importance of mass loss on the agb the catalogue and spectra are made available via cds
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709.2354
The birth place of the type Ic Supernova 2007gr
We report our attempts to locate the progenitor of the peculiar type Ic SN 2007gr in HST pre-explosion images of the host galaxy, NGC 1058. Aligning adaptive optics Altair/NIRI imaging of SN 2007gr from the Gemini (North) Telescope with the pre-explosion HST WFPC2 images, we identify the SN position on the HST frames with an accuracy of 20 mas. Although nothing is detected at the SN position we show that it lies on the edge of a bright source, 134+/-23 mas (6.9 pc) from its nominal centre. Based on its luminosity we suggest that this object is possibly an unresolved, compact and coeval cluster and that the SN progenitor was a cluster member, although we note that model profile fitting favours a single bright star. We find two solutions for the age of this assumed cluster; 7-/+0.5 Myrs and 20-30 Myrs, with turn-off masses of 28+/-4 Msun and 12-9 Msun respectively. Pre-explosion ground-based K-band images marginally favour the younger cluster age/higher turn-off mass. Assuming the SN progenitor was a cluster member, the turn-off mass provides the best estimate for its initial mass. More detailed observations, after the SN has faded, should determine if the progenitor was indeed part of a cluster, and if so allow an age estimate to within ~2 Myrs thereby favouring either a high mass single star or lower mass interacting binary progenitor.
astro-ph
we report our attempts to locate the progenitor of the peculiar type ic sn 2007gr in hst preexplosion images of the host galaxy ngc 1058 aligning adaptive optics altairniri imaging of sn 2007gr from the gemini north telescope with the preexplosion hst wfpc2 images we identify the sn position on the hst frames with an accuracy of 20 mas although nothing is detected at the sn position we show that it lies on the edge of a bright source 13423 mas 69 pc from its nominal centre based on its luminosity we suggest that this object is possibly an unresolved compact and coeval cluster and that the sn progenitor was a cluster member although we note that model profile fitting favours a single bright star we find two solutions for the age of this assumed cluster 705 myrs and 2030 myrs with turnoff masses of 284 msun and 129 msun respectively preexplosion groundbased kband images marginally favour the younger cluster agehigher turnoff mass assuming the sn progenitor was a cluster member the turnoff mass provides the best estimate for its initial mass more detailed observations after the sn has faded should determine if the progenitor was indeed part of a cluster and if so allow an age estimate to within 2 myrs thereby favouring either a high mass single star or lower mass interacting binary progenitor
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709.2355
A systematic expansion for relativistic causal hydrodynamics
A systematic expansion of the Boltzmann equation for the diffusion of dilute tracers, in powers of the Knudsen number, carried out to next-to-leading order (NLO), gives the relativistic causal diffusion equation (Kelly's equation). Using dimensionless combinations of dynamical quantities, we show when the small NLO term plays a crucially important role. We proceed to show that a derivation of Kelly's equation from a microscopic theory of the correlation function of the number density of diffusers is possible. The correlator fulfils the Green-Kubo relation for the diffusion constant, as well as an f-sum which goes beyond a purely phenomenological causal theory. We argue that the construction generalizes to the full hydrodynamic equations.
nucl-th hep-ph hep-th nucl-ex
a systematic expansion of the boltzmann equation for the diffusion of dilute tracers in powers of the knudsen number carried out to nexttoleading order nlo gives the relativistic causal diffusion equation kellys equation using dimensionless combinations of dynamical quantities we show when the small nlo term plays a crucially important role we proceed to show that a derivation of kellys equation from a microscopic theory of the correlation function of the number density of diffusers is possible the correlator fulfils the greenkubo relation for the diffusion constant as well as an fsum which goes beyond a purely phenomenological causal theory we argue that the construction generalizes to the full hydrodynamic equations
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709.2356
Some remarks about Clifford analysis and fractal sets
Although Clifford analysis is like complex analysis in many ways, there are obvious differences related to noncommutativity, and a few aspects of this are considered here.
math.CA
although clifford analysis is like complex analysis in many ways there are obvious differences related to noncommutativity and a few aspects of this are considered here
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709.2357
Two-spin subsystem entanglement in spin 1/2 rings with long range interactions
We consider the two-spin subsystem entanglement for eigenstates of the Hamiltonian \[ H= \sum_{1\leq j< k \leq N} (\frac{1}{r_{j,k}})^{\alpha} {\mathbf \sigma}_j\cdot {\mathbf \sigma}_k \] for a ring of $N$ spins 1/2 with asssociated spin vector operator $(\hbar /2){\bf \sigma}_j$ for the $j$-th spin. Here $r_{j,k}$ is the chord-distance betwen sites $j$ and $k$. The case $\alpha =2$ corresponds to the solvable Haldane-Shastry model whose spectrum has very high degeneracies not present for $\alpha \neq 2$. Two spin subsystem entanglement shows high sensistivity and distinguishes $\alpha =2$ from $\alpha \neq 2$. There is no entanglement beyond nearest neighbors for all eigenstates when $\alpha =2$. Whereas for $\alpha \neq 2$ one has selective entanglement at any distance for eigenstates of sufficiently high energy in a certain interval of $\alpha$ which depends on the energy. The ground state (which is a singlet only for even $N$) does not have entanglement beyond nearest neighbors, and the nearest neighbor entanglement is virtually independent of the range of the interaction controlled by $\alpha$.
quant-ph
we consider the twospin subsystem entanglement for eigenstates of the hamiltonian h sum_1leq j k leq n frac1r_jkalpha mathbf sigma_jcdot mathbf sigma_k for a ring of n spins 12 with asssociated spin vector operator hbar 2bf sigma_j for the jth spin here r_jk is the chorddistance betwen sites j and k the case alpha 2 corresponds to the solvable haldaneshastry model whose spectrum has very high degeneracies not present for alpha neq 2 two spin subsystem entanglement shows high sensistivity and distinguishes alpha 2 from alpha neq 2 there is no entanglement beyond nearest neighbors for all eigenstates when alpha 2 whereas for alpha neq 2 one has selective entanglement at any distance for eigenstates of sufficiently high energy in a certain interval of alpha which depends on the energy the ground state which is a singlet only for even n does not have entanglement beyond nearest neighbors and the nearest neighbor entanglement is virtually independent of the range of the interaction controlled by alpha
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709.2358
Cleaning the USNO-B Catalog through automatic detection of optical artifacts
The USNO-B Catalog contains spurious entries that are caused by diffraction spikes and circular reflection halos around bright stars in the original imaging data. These spurious entries appear in the Catalog as if they were real stars; they are confusing for some scientific tasks. The spurious entries can be identified by simple computer vision techniques because they produce repeatable patterns on the sky. Some techniques employed here are variants of the Hough transform, one of which is sensitive to (two-dimensional) overdensities of faint stars in thin right-angle cross patterns centered on bright ($<13 \mag$) stars, and one of which is sensitive to thin annular overdensities centered on very bright ($<7 \mag$) stars. After enforcing conservative statistical requirements on spurious-entry identifications, we find that of the 1,042,618,261 entries in the USNO-B Catalog, 24,148,382 of them ($2.3 \percent$) are identified as spurious by diffraction-spike criteria and 196,133 ($0.02 \percent$) are identified as spurious by reflection-halo criteria. The spurious entries are often detected in more than 2 bands and are not overwhelmingly outliers in any photometric properties; they therefore cannot be rejected easily on other grounds, i.e., without the use of computer vision techniques. We demonstrate our method, and return to the community in electronic form a table of spurious entries in the Catalog.
astro-ph
the usnob catalog contains spurious entries that are caused by diffraction spikes and circular reflection halos around bright stars in the original imaging data these spurious entries appear in the catalog as if they were real stars they are confusing for some scientific tasks the spurious entries can be identified by simple computer vision techniques because they produce repeatable patterns on the sky some techniques employed here are variants of the hough transform one of which is sensitive to twodimensional overdensities of faint stars in thin rightangle cross patterns centered on bright 13 mag stars and one of which is sensitive to thin annular overdensities centered on very bright 7 mag stars after enforcing conservative statistical requirements on spuriousentry identifications we find that of the 1042618261 entries in the usnob catalog 24148382 of them 23 percent are identified as spurious by diffractionspike criteria and 196133 002 percent are identified as spurious by reflectionhalo criteria the spurious entries are often detected in more than 2 bands and are not overwhelmingly outliers in any photometric properties they therefore cannot be rejected easily on other grounds ie without the use of computer vision techniques we demonstrate our method and return to the community in electronic form a table of spurious entries in the catalog
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709.2359
The Noncommutative Standard Model at the ILC
We study phenomenological consequences of a noncommutative extension of the standard model in the theta-expanded approach at the ILC. We estimate the sensitivity of the ILC for the noncommutative scale Lambda_NC. Comparing with earlier estimates for the LHC, we demonstrate the complementarity of the experiments at the two colliders.
hep-ph
we study phenomenological consequences of a noncommutative extension of the standard model in the thetaexpanded approach at the ilc we estimate the sensitivity of the ilc for the noncommutative scale lambda_nc comparing with earlier estimates for the lhc we demonstrate the complementarity of the experiments at the two colliders
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709.236
Densities in Fabry's theorem
Fabry's theorem on the singularities of power series is improved: the maximum density in the assumptions of this theorem is replaced by an interior density of Beurling--Malliavin type.
math.CV math.CA
fabrys theorem on the singularities of power series is improved the maximum density in the assumptions of this theorem is replaced by an interior density of beurlingmalliavin type
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709.2361
Magnetically Torqued Thin Accretion Disks
We compute the properties of a geometrically thin, steady accretion disk surrounding a central rotating, magnetized star. The magnetosphere is assumed to entrain the disk over a wide range of radii. The model is simplified in that we adopt two (alternate) ad hoc, but plausible, expressions for the azimuthal component of the magnetic field as a function of radial distance. We find a solution for the angular velocity profile tending to corotation close to the central star, and smoothly matching a Keplerian curve at a radius where the viscous stress vanishes. The value of this ''transition'' radius is nearly the same for both of our adopted B-field models. We then solve analytically for the torques on the central star and for the disk luminosity due to gravity and magnetic torques. When expressed in a dimensionless form, the resulting quantities depend on one parameter alone, the ratio of the transition radius to the corotation radius. For rapid rotators, the accretion disk may be powered mostly by spin-down of the central star. These results are independent of the viscosity prescription in the disk. We also solve for the disk structure for the special case of an optically thick alpha disk. Our results are applicable to a range of astrophysical systems including accreting neutron stars, intermediate polar cataclysmic variables, and T Tauri systems.
astro-ph
we compute the properties of a geometrically thin steady accretion disk surrounding a central rotating magnetized star the magnetosphere is assumed to entrain the disk over a wide range of radii the model is simplified in that we adopt two alternate ad hoc but plausible expressions for the azimuthal component of the magnetic field as a function of radial distance we find a solution for the angular velocity profile tending to corotation close to the central star and smoothly matching a keplerian curve at a radius where the viscous stress vanishes the value of this transition radius is nearly the same for both of our adopted bfield models we then solve analytically for the torques on the central star and for the disk luminosity due to gravity and magnetic torques when expressed in a dimensionless form the resulting quantities depend on one parameter alone the ratio of the transition radius to the corotation radius for rapid rotators the accretion disk may be powered mostly by spindown of the central star these results are independent of the viscosity prescription in the disk we also solve for the disk structure for the special case of an optically thick alpha disk our results are applicable to a range of astrophysical systems including accreting neutron stars intermediate polar cataclysmic variables and t tauri systems
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709.2362
Radiation-induced large-scale structure during the reionization epoch: the autocorrelation function
The structures produced during the epoch of reionization by the action of radiation on neutral hydrogen are in principle different to those that arise through gravitational growth of initially small perturbations. We explore the difference between the two mechanisms using high resolution cosmological radiative transfer. Our computations use a Monte Carlo code which raytraces directly through SPH kernels without a grid, preserving the high spatial resolution of the underlying hydrodynamic simulation. Because the properties of the first sources of radiation are uncertain, we simulate a range of models with different source properties and recombination physics. We examine the morphology of the neutral hydrogren distribution and the reionization history in these models. We find that at fixed mean neutral fraction, structures are visually most affected by the existence of a lower limit in source luminosity, then by galaxy mass to light ratio, and are minimally affected by changes in the recombination rate and amplitude of mass fluctuations. We concentrate on the autocorrelation function of the neutral hydrogen, xi_HI(r) as a basic quantitive measure of Radiation Induced Structure (RIS.) All the models we test exhibit a characteristic behaviour, with xi_HI(r) becoming initially linearly antibiased with respect to the matter correlation function, reaching a minimum bias factor b~0.5 when the universe is ~10-20% ionized. After this xi_HI(r) increases rapidly in amplitude, overtaking the matter correlation function. It keeps a power law shape, but flattens considerably, reaching an asymptotic logarithmic slope of gamma ~-0.5. The growth rate of HI fluctuations is exponentially more rapid than gravitational growth over a brief interval of redshift Deltaz ~ 2-3.
astro-ph
the structures produced during the epoch of reionization by the action of radiation on neutral hydrogen are in principle different to those that arise through gravitational growth of initially small perturbations we explore the difference between the two mechanisms using high resolution cosmological radiative transfer our computations use a monte carlo code which raytraces directly through sph kernels without a grid preserving the high spatial resolution of the underlying hydrodynamic simulation because the properties of the first sources of radiation are uncertain we simulate a range of models with different source properties and recombination physics we examine the morphology of the neutral hydrogren distribution and the reionization history in these models we find that at fixed mean neutral fraction structures are visually most affected by the existence of a lower limit in source luminosity then by galaxy mass to light ratio and are minimally affected by changes in the recombination rate and amplitude of mass fluctuations we concentrate on the autocorrelation function of the neutral hydrogen xi_hir as a basic quantitive measure of radiation induced structure ris all the models we test exhibit a characteristic behaviour with xi_hir becoming initially linearly antibiased with respect to the matter correlation function reaching a minimum bias factor b05 when the universe is 1020 ionized after this xi_hir increases rapidly in amplitude overtaking the matter correlation function it keeps a power law shape but flattens considerably reaching an asymptotic logarithmic slope of gamma 05 the growth rate of hi fluctuations is exponentially more rapid than gravitational growth over a brief interval of redshift deltaz 23
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709.2363
Upgrade of the MAGIC Telescope with a Multiplexed Fiber-Optic 2 GSamples/s FADC Data Acquisition system
In February 2007 the MAGIC Air Cherenkov Telescope for gamma ray astronomy was fully upgraded with a fast 2 GSamples/s digitization system. The upgraded readout system uses a novel fiber-optic multiplexing technique. It consists of 10-bit 2 GSamples/s FADCs to digitize 16 channels consecutively and optical fibers to delay the analog signals. A distributed data acquisition system using GBit Ethernet and FiberChannel technology allows to read out the 100 kByte events with a continuous rate of up to 1 kHz.
astro-ph
in february 2007 the magic air cherenkov telescope for gamma ray astronomy was fully upgraded with a fast 2 gsampless digitization system the upgraded readout system uses a novel fiberoptic multiplexing technique it consists of 10bit 2 gsampless fadcs to digitize 16 channels consecutively and optical fibers to delay the analog signals a distributed data acquisition system using gbit ethernet and fiberchannel technology allows to read out the 100 kbyte events with a continuous rate of up to 1 khz
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709.2364
On the Search for Quasar Light Echoes
The UV radiation from a quasar leaves a characteristic pattern in the distribution of ionized hydrogen throughout the surrounding space. This pattern or light echo propagates through the intergalactic medium at the speed of light, and can be observed by its imprint on the Ly-alpha forest spectra of background sources. As the echo persists after the quasar has switched off, it offers the possibility of searching for dead quasars, and constraining their luminosities and lifetimes. We outline a technique to search for and characterize these light echoes. To test the method, we create artificial Ly-alpha forest spectra from cosmological simulations at z=3, apply light echoes and search for them. We show how the simulations can also be used to quantify the significance level of any detection. We find that light echoes from the brightest quasars could be found in observational data. With absorption line spectra of 100 redshift z~3-3.5 quasars or galaxies in a 1 square degree area, we expect that ~10 echoes from quasars with B band luminosities L_B=3x10^45 ergs/s exist that could be found at 95% confidence, assuming a quasar lifetime of ~10^7 yr. Even a null result from such a search would have interesting implications for our understanding of quasar luminosities and lifetimes.
astro-ph
the uv radiation from a quasar leaves a characteristic pattern in the distribution of ionized hydrogen throughout the surrounding space this pattern or light echo propagates through the intergalactic medium at the speed of light and can be observed by its imprint on the lyalpha forest spectra of background sources as the echo persists after the quasar has switched off it offers the possibility of searching for dead quasars and constraining their luminosities and lifetimes we outline a technique to search for and characterize these light echoes to test the method we create artificial lyalpha forest spectra from cosmological simulations at z3 apply light echoes and search for them we show how the simulations can also be used to quantify the significance level of any detection we find that light echoes from the brightest quasars could be found in observational data with absorption line spectra of 100 redshift z335 quasars or galaxies in a 1 square degree area we expect that 10 echoes from quasars with b band luminosities l_b3x1045 ergss exist that could be found at 95 confidence assuming a quasar lifetime of 107 yr even a null result from such a search would have interesting implications for our understanding of quasar luminosities and lifetimes
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709.2365
Loop quantum gravity corrections to gravitational wave dispersion
Cosmological tensor perturbations equations are derived for Hamiltonian cosmology based on Ashtekar's formulation of general relativity, including typical quantum gravity effects in the Hamiltonian constraint as they are expected from loop quantum gravity. This translates to corrections of the dispersion relation for gravitational waves. The main application here is the preservation of causality which is shown to be realized due to the absence of anomalies in the effective constraint algebra used.
gr-qc astro-ph hep-th
cosmological tensor perturbations equations are derived for hamiltonian cosmology based on ashtekars formulation of general relativity including typical quantum gravity effects in the hamiltonian constraint as they are expected from loop quantum gravity this translates to corrections of the dispersion relation for gravitational waves the main application here is the preservation of causality which is shown to be realized due to the absence of anomalies in the effective constraint algebra used
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709.2366
Reduction Procedures in Classical and Quantum Mechanics
We present, in a pedagogical style, many instances of reduction procedures appearing in a variety of physical situations, both classical and quantum. We concentrate on the essential aspects of any reduction procedure, both in the algebraic and geometrical setting, elucidating the analogies and the differences between the classical and the quantum situations.
math-ph math.MP quant-ph
we present in a pedagogical style many instances of reduction procedures appearing in a variety of physical situations both classical and quantum we concentrate on the essential aspects of any reduction procedure both in the algebraic and geometrical setting elucidating the analogies and the differences between the classical and the quantum situations
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709.2367
Phase Quenched Lattice QCD at Finite Density and Temperature
We simulate 3-flavour lattice QCD at finite quark-number chemical potential mu in the phase-quenched approximation, close to the finite temperature transition. Working close to the critical quark mass, we find no evidence for the expected critical endpoint at small mu. We are performing further simulations aimed at calculating the equation-of-state of this theory outside of the superfluid domain, where its phase structure is expected to mimic the full theory.
hep-lat
we simulate 3flavour lattice qcd at finite quarknumber chemical potential mu in the phasequenched approximation close to the finite temperature transition working close to the critical quark mass we find no evidence for the expected critical endpoint at small mu we are performing further simulations aimed at calculating the equationofstate of this theory outside of the superfluid domain where its phase structure is expected to mimic the full theory
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709.2368
On planar gluon amplitudes/Wilson loops duality
There is growing evidence that on-shell gluon scattering amplitudes in planar N=4 SYM theory are equivalent to Wilson loops evaluated over contours consisting of straight, light-like segments defined by the momenta of the external gluons. This equivalence was first suggested at strong coupling using the AdS/CFT correspondence and has since been verified at weak coupling to one loop in perturbation theory. Here we perform an explicit two-loop calculation of the Wilson loop dual to the four-gluon scattering amplitude and demonstrate that the relation holds beyond one loop. We also propose an anomalous conformal Ward identity which uniquely fixes the form of the finite part (up to an additive constant) of the Wilson loop dual to four- and five-gluon amplitudes, in complete agreement with the BDS conjecture for the multi-gluon MHV amplitudes.
hep-th hep-ph
there is growing evidence that onshell gluon scattering amplitudes in planar n4 sym theory are equivalent to wilson loops evaluated over contours consisting of straight lightlike segments defined by the momenta of the external gluons this equivalence was first suggested at strong coupling using the adscft correspondence and has since been verified at weak coupling to one loop in perturbation theory here we perform an explicit twoloop calculation of the wilson loop dual to the fourgluon scattering amplitude and demonstrate that the relation holds beyond one loop we also propose an anomalous conformal ward identity which uniquely fixes the form of the finite part up to an additive constant of the wilson loop dual to four and fivegluon amplitudes in complete agreement with the bds conjecture for the multigluon mhv amplitudes
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709.2369
The Effect of Dark Matter on the First Stars: A New Phase of Stellar Evolution
Dark matter (DM) in protostellar halos can dramatically alter the current theoretical framework for the formation of the first stars. Heat from supersymmetric DM annihilation can overwhelm any cooling mechanism, consequently impeding the star formation process and possibly leading to a new stellar phase. The first stars to form in the universe may be ``dark stars''; i.e., giant (larger than 1 AU) hydrogen-helium stars powered by DM annihilation instead of nuclear fusion. Possibilities for detecting dark stars are discussed.
astro-ph hep-ph
dark matter dm in protostellar halos can dramatically alter the current theoretical framework for the formation of the first stars heat from supersymmetric dm annihilation can overwhelm any cooling mechanism consequently impeding the star formation process and possibly leading to a new stellar phase the first stars to form in the universe may be dark stars ie giant larger than 1 au hydrogenhelium stars powered by dm annihilation instead of nuclear fusion possibilities for detecting dark stars are discussed
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709.237
Yang-Mills Ground State in 2+1 Dimensions and Temporal Gauge
A gauge-invariant wavefunctional is proposed as an approximation to the ground state of Yang-Mills theory in 2+1 dimensions, quantized in temporal gauge. The proposed vacuum state is the true ground state of the appropriate Hamiltonian in both the free-field limit, and in a zero mode strong-field limit. Confinement, in this approach, arises via dimensional reduction, and we present numerical results for the mass gap. The issue of color screening is briefly discussed.
hep-lat
a gaugeinvariant wavefunctional is proposed as an approximation to the ground state of yangmills theory in 21 dimensions quantized in temporal gauge the proposed vacuum state is the true ground state of the appropriate hamiltonian in both the freefield limit and in a zero mode strongfield limit confinement in this approach arises via dimensional reduction and we present numerical results for the mass gap the issue of color screening is briefly discussed
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709.2371
Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma
This note is devoted to the theory of projective limits of finite-dimensional Lie groups, as developed in the recent monograph ``The Lie Theory of Connected Pro-Lie Groups'' by K.H. Hofmann and S.A. Morris. We replace the original, highly non-trivial proof of the One-Parameter Subgroup Lifting Lemma given in the monograph by a shorter and more elementary argument. Furthermore, we shorten (and correct) the proof of the so-called Pro-Lie Group Theorem, which asserts that pro-Lie groups and projective limits of Lie groups coincide.
math.GR
this note is devoted to the theory of projective limits of finitedimensional lie groups as developed in the recent monograph the lie theory of connected prolie groups by kh hofmann and sa morris we replace the original highly nontrivial proof of the oneparameter subgroup lifting lemma given in the monograph by a shorter and more elementary argument furthermore we shorten and correct the proof of the socalled prolie group theorem which asserts that prolie groups and projective limits of lie groups coincide
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709.2372
Sub-luminal wave bullets: Exact Localized subluminal Solutions to the Wave Equations
In this work it is shown how to obtain, in a simple way, localized (non- diffractive) subluminal pulses as exact analytic solutions to the wave equations. These new ideal subluminal solutions, which propagate without distortion in any homogeneous linear media, are herein obtained for arbitrarily chosen frequencies and bandwidths, avoiding in particular any recourse to the non-causal components so frequently plaguing the previously known localized waves. The new solutions are suitable superpositions of --zeroth-order, in general-- Bessel beams, which can be performed either by integrating with respect to (w.r.t.) the angular frequency, or by integrating w.r.t. the longitudinal wavenumber: Both methods are expounded in this paper. The first one appears to be powerful enough; we study the second method as well, however, since it allows dealing even with the limiting case of zero-speed solutions (and furnishes a new way, in terms of continuous spectra, for obtaining the so-called "Frozen Waves", so promising also from the point of view of applications). We briefly treat the case, moreover, of non-axially symmetric solutions, in terms of higher order Bessel beams. At last, particular attention is paid to the role of Special Relativity, and to the fact that the localized waves are expected to be transformed one into the other by suitable Lorentz Transformations. The analogous pulses with intrinsic finite energy, or merely truncated, will be constructed in another paper. In this work we fix our attention especially on electromagnetism and optics: but results of the present kind are valid whenever an essential role is played by a wave-equation (like in acoustics, seismology, geophysics, gravitation, elementary particle physics, etc.)
physics.class-ph physics.gen-ph physics.optics
in this work it is shown how to obtain in a simple way localized non diffractive subluminal pulses as exact analytic solutions to the wave equations these new ideal subluminal solutions which propagate without distortion in any homogeneous linear media are herein obtained for arbitrarily chosen frequencies and bandwidths avoiding in particular any recourse to the noncausal components so frequently plaguing the previously known localized waves the new solutions are suitable superpositions of zerothorder in general bessel beams which can be performed either by integrating with respect to wrt the angular frequency or by integrating wrt the longitudinal wavenumber both methods are expounded in this paper the first one appears to be powerful enough we study the second method as well however since it allows dealing even with the limiting case of zerospeed solutions and furnishes a new way in terms of continuous spectra for obtaining the socalled frozen waves so promising also from the point of view of applications we briefly treat the case moreover of nonaxially symmetric solutions in terms of higher order bessel beams at last particular attention is paid to the role of special relativity and to the fact that the localized waves are expected to be transformed one into the other by suitable lorentz transformations the analogous pulses with intrinsic finite energy or merely truncated will be constructed in another paper in this work we fix our attention especially on electromagnetism and optics but results of the present kind are valid whenever an essential role is played by a waveequation like in acoustics seismology geophysics gravitation elementary particle physics etc
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709.2373
The dark energy scale in superconductors: Innovative theoretical and experimental concepts
We revisit the cosmological constant problem using the viewpoint that the observed value of dark energy density in the universe actually represents a rather natural value arising as the geometric mean of two vacuum energy densities, one being extremely large and the other one being extremely small. The corresponding mean energy scale is the Planck-Einstein scale l_PE = (l_P l_E)^1/2 = (hbar G/ c^3 Lambda)^1/4 ~ 0.037 mm, a natural scale both for dark energy and the physics of superconductors. We deal with the statistics of quantum fluctuations underlying dark energy in superconductors and consider a scale transformation from the Planck scale to the Planck-Einstein scale which leaves the quantum physics invariant. Our approach unifies various experimentally confirmed or conjectured effects in superconductors into a common framework: Cutoff of vacuum fluctuation spectra, formation of Tao balls, anomalous gravitomagnetic fields, non-classical inertia, and time uncertainties in radioactive superconductors. We propose several new experiments which may further elucidate the role of the Planck-Einstein scale in superconductors.
gr-qc
we revisit the cosmological constant problem using the viewpoint that the observed value of dark energy density in the universe actually represents a rather natural value arising as the geometric mean of two vacuum energy densities one being extremely large and the other one being extremely small the corresponding mean energy scale is the planckeinstein scale l_pe l_p l_e12 hbar g c3 lambda14 0037 mm a natural scale both for dark energy and the physics of superconductors we deal with the statistics of quantum fluctuations underlying dark energy in superconductors and consider a scale transformation from the planck scale to the planckeinstein scale which leaves the quantum physics invariant our approach unifies various experimentally confirmed or conjectured effects in superconductors into a common framework cutoff of vacuum fluctuation spectra formation of tao balls anomalous gravitomagnetic fields nonclassical inertia and time uncertainties in radioactive superconductors we propose several new experiments which may further elucidate the role of the planckeinstein scale in superconductors
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709.2374
Correlations in an expanding gas of hard-core bosons
We consider a longitudinal expansion of a one-dimensional gas of hard-core bosons suddenly released from a trap. We show that the broken translational invariance in the initial state of the system is encoded in correlations between the bosonic occupation numbers in the momentum space. The correlations are protected by the integrability and exhibit no relaxation during the expansion.
cond-mat.stat-mech cond-mat.other
we consider a longitudinal expansion of a onedimensional gas of hardcore bosons suddenly released from a trap we show that the broken translational invariance in the initial state of the system is encoded in correlations between the bosonic occupation numbers in the momentum space the correlations are protected by the integrability and exhibit no relaxation during the expansion
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709.2375
Observational Tests of Modified Gravity
Modified gravity theories have richer observational consequences for large-scale structure than conventional dark energy models, in that different observables are not described by a single growth factor even in the linear regime. We examine the relationships between perturbations in the metric potentials, density and velocity fields, and discuss strategies for measuring them using gravitational lensing, galaxy cluster abundances, galaxy clustering/dynamics and the ISW effect. We show how a broad class of gravity theories can be tested by combining these probes. A robust way to interpret observations is by constraining two key functions: the ratio of the two metric potentials, and the ratio of the Gravitational ``constant'' in the Poisson equation to Newton's constant. We also discuss quasilinear effects that carry signatures of gravity, such as through induced three-point correlations. Clustering of dark energy can mimic features of modified gravity theories and thus confuse the search for distinct signatures of such theories. It can produce pressure perturbations and anisotropic stresses, which breaks the equality between the two metric potentials even in general relativity. With these two extra degrees of freedom, can a clustered dark energy model mimic modified gravity models in all observational tests? We show with specific examples that observational constraints on both the metric potentials and density perturbations can in principle distinguish modifications of gravity from dark energy models. We compare our result with other recent studies that have slightly different assumptions (and apparently contradictory conclusions).
astro-ph
modified gravity theories have richer observational consequences for largescale structure than conventional dark energy models in that different observables are not described by a single growth factor even in the linear regime we examine the relationships between perturbations in the metric potentials density and velocity fields and discuss strategies for measuring them using gravitational lensing galaxy cluster abundances galaxy clusteringdynamics and the isw effect we show how a broad class of gravity theories can be tested by combining these probes a robust way to interpret observations is by constraining two key functions the ratio of the two metric potentials and the ratio of the gravitational constant in the poisson equation to newtons constant we also discuss quasilinear effects that carry signatures of gravity such as through induced threepoint correlations clustering of dark energy can mimic features of modified gravity theories and thus confuse the search for distinct signatures of such theories it can produce pressure perturbations and anisotropic stresses which breaks the equality between the two metric potentials even in general relativity with these two extra degrees of freedom can a clustered dark energy model mimic modified gravity models in all observational tests we show with specific examples that observational constraints on both the metric potentials and density perturbations can in principle distinguish modifications of gravity from dark energy models we compare our result with other recent studies that have slightly different assumptions and apparently contradictory conclusions
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709.2376
LBT Discovery of a Yellow Supergiant Eclipsing Binary in the Dwarf Galaxy Holmberg IX
In a variability survey of M81 using the Large Binocular Telescope we have discovered a peculiar eclipsing binary (MV ~ -7.1) in the field of the dwarf galaxy Holmberg IX. It has a period of 272 days and the light curve is well-fit by an overcontact model in which both stars are overflowing their Roche lobes. It is composed by two yellow supergiants (V-I ~ 1 mag, T_eff = 4800 K), rather than the far more common red or blue supergiants. Such systems must be rare. While we failed to find any similar systems in the literature, we did, however note a second example. The SMC F0 supergiant R47 is a bright (MV ~ -7.5) periodic variable whose All Sky Automated Survey (ASAS) light curve is well-fit as a contact binary with a 181 day period. We propose that these systems are the progenitors of supernovae like SN 2004et and SN 2006ov, which appeared to have yellow progenitors. The binary interactions (mass transfer, mass loss) limit the size of the supergiant to give it a higher surface temperature than an isolated star at the same core evolutionary stage. We also discuss the possibility of this variable being a long-period Cepheid.
astro-ph
in a variability survey of m81 using the large binocular telescope we have discovered a peculiar eclipsing binary mv 71 in the field of the dwarf galaxy holmberg ix it has a period of 272 days and the light curve is wellfit by an overcontact model in which both stars are overflowing their roche lobes it is composed by two yellow supergiants vi 1 mag t_eff 4800 k rather than the far more common red or blue supergiants such systems must be rare while we failed to find any similar systems in the literature we did however note a second example the smc f0 supergiant r47 is a bright mv 75 periodic variable whose all sky automated survey asas light curve is wellfit as a contact binary with a 181 day period we propose that these systems are the progenitors of supernovae like sn 2004et and sn 2006ov which appeared to have yellow progenitors the binary interactions mass transfer mass loss limit the size of the supergiant to give it a higher surface temperature than an isolated star at the same core evolutionary stage we also discuss the possibility of this variable being a longperiod cepheid
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709.2377
Electroweak Sudakov Corrections using Effective Field Theory
Electroweak Sudakov corrections of the form alpha^n log^m s/M_{W,Z}^2 are summed using renormalization group evolution in soft-collinear effective theory (SCET). Results are given for the scalar, vector and tensor form-factors for fermion and scalar particles. The formalism for including massive gauge bosons in SCET is developed.
hep-ph
electroweak sudakov corrections of the form alphan logm sm_wz2 are summed using renormalization group evolution in softcollinear effective theory scet results are given for the scalar vector and tensor formfactors for fermion and scalar particles the formalism for including massive gauge bosons in scet is developed
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709.2378
Massive color-octet bosons and pairs of resonances at hadron colliders
We analyze collider signatures of massive color-octet bosons whose couplings to quarks are suppressed. Gauge invariance forces the octets to couple at tree level only in pairs to gluons, with a strength set by the QCD gauge coupling. For a spin-1 octet, the cross section for pair production at hadron colliders is larger than that for a quark of equal mass. The octet decays into two jets, leading to a 4-jet signature with two pairs of jets forming resonances of the same mass. For a spin-0 octet the cross section is smaller, and the dominant decay is into b\bar{b}, or t\bar{t} if kinematically allowed. We estimate that discovery of spin-1 octets is possible for masses up to 330 GeV at the Tevatron, and 1 TeV at the LHC with 1 fb^{-1}, while the reach is somewhat lower for spin-0 octets.
hep-ph
we analyze collider signatures of massive coloroctet bosons whose couplings to quarks are suppressed gauge invariance forces the octets to couple at tree level only in pairs to gluons with a strength set by the qcd gauge coupling for a spin1 octet the cross section for pair production at hadron colliders is larger than that for a quark of equal mass the octet decays into two jets leading to a 4jet signature with two pairs of jets forming resonances of the same mass for a spin0 octet the cross section is smaller and the dominant decay is into bbarb or tbart if kinematically allowed we estimate that discovery of spin1 octets is possible for masses up to 330 gev at the tevatron and 1 tev at the lhc with 1 fb1 while the reach is somewhat lower for spin0 octets
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709.2379
^{17}O and ^{51}V NMR for the zigzag spin-1 chain compound CaV2O4
$^{51}$V NMR studies on CaV2O4 single crystals and $^{17}$O NMR studies on $^{17}$O-enriched powder samples are reported. The temperature dependences of the $^{17}$O NMR line width and nuclear spin-lattice relaxation rate give strong evidence for a long-range antiferromagnetic transition at Tn = 78 K in the powder. Magnetic susceptibility measurements show that Tn = 69 K in the crystals. A zero-field $^{51}$V NMR signal was observed at low temperatures (f $\approx$ 237 MHz at 4.2 K) in the crystals. The field swept spectra with the field in different directions suggest the presence of two antiferromagnetic substructures. Each substructure is collinear, with the easy axes of the two substructures separated by an angle of 19(1) degree, and with their average direction pointing approximately along the b-axis of the crystal structure. The two spin substructures contain equal number of spins. The temperature dependence of the ordered moment, measured up to 45 K, shows the presence of an energy gap Eg in the antiferromagnetic spin wave excitation spectrum. Antiferromagnetic spin wave theory suggests that Eg lies between 64 and 98 K.
cond-mat.str-el
51v nmr studies on cav2o4 single crystals and 17o nmr studies on 17oenriched powder samples are reported the temperature dependences of the 17o nmr line width and nuclear spinlattice relaxation rate give strong evidence for a longrange antiferromagnetic transition at tn 78 k in the powder magnetic susceptibility measurements show that tn 69 k in the crystals a zerofield 51v nmr signal was observed at low temperatures f approx 237 mhz at 42 k in the crystals the field swept spectra with the field in different directions suggest the presence of two antiferromagnetic substructures each substructure is collinear with the easy axes of the two substructures separated by an angle of 191 degree and with their average direction pointing approximately along the baxis of the crystal structure the two spin substructures contain equal number of spins the temperature dependence of the ordered moment measured up to 45 k shows the presence of an energy gap eg in the antiferromagnetic spin wave excitation spectrum antiferromagnetic spin wave theory suggests that eg lies between 64 and 98 k
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709.238
Do Evaporating Black Holes Form Photospheres?
Several authors, most notably Heckler, have claimed that the observable Hawking emission from a microscopic black hole is significantly modified by the formation of a photosphere around the black hole due to QED or QCD interactions between the emitted particles. In this paper we analyze these claims and identify a number of physical and geometrical effects which invalidate these scenarios. We point out two key problems. First, the interacting particles must be causally connected to interact, and this condition is satisfied by only a small fraction of the emitted particles close to the black hole. Second, a scattered particle requires a distance ~ E/m_e^2 for completing each bremsstrahlung interaction, with the consequence that it is improbable for there to be more than one complete bremsstrahlung interaction per particle near the black hole. These two effects have not been included in previous analyses. We conclude that the emitted particles do not interact sufficiently to form a QED photosphere. Similar arguments apply in the QCD case and prevent a QCD photosphere (chromosphere) from developing when the black hole temperature is much greater than Lambda_QCD, the threshold for QCD particle emission. Additional QCD phenomenological arguments rule out the development of a chromosphere around black hole temperatures of order Lambda_QCD. In all cases, the observational signatures of a cosmic or Galactic halo background of primordial black holes or an individual black hole remain essentially those of the standard Hawking model, with little change to the detection probability. We also consider the possibility, as proposed by Belyanin et al. and D. Cline et al., that plasma interactions between the emitted particles form a photosphere, and we conclude that this scenario too is not supported.
astro-ph gr-qc hep-th
several authors most notably heckler have claimed that the observable hawking emission from a microscopic black hole is significantly modified by the formation of a photosphere around the black hole due to qed or qcd interactions between the emitted particles in this paper we analyze these claims and identify a number of physical and geometrical effects which invalidate these scenarios we point out two key problems first the interacting particles must be causally connected to interact and this condition is satisfied by only a small fraction of the emitted particles close to the black hole second a scattered particle requires a distance em_e2 for completing each bremsstrahlung interaction with the consequence that it is improbable for there to be more than one complete bremsstrahlung interaction per particle near the black hole these two effects have not been included in previous analyses we conclude that the emitted particles do not interact sufficiently to form a qed photosphere similar arguments apply in the qcd case and prevent a qcd photosphere chromosphere from developing when the black hole temperature is much greater than lambda_qcd the threshold for qcd particle emission additional qcd phenomenological arguments rule out the development of a chromosphere around black hole temperatures of order lambda_qcd in all cases the observational signatures of a cosmic or galactic halo background of primordial black holes or an individual black hole remain essentially those of the standard hawking model with little change to the detection probability we also consider the possibility as proposed by belyanin et al and d cline et al that plasma interactions between the emitted particles form a photosphere and we conclude that this scenario too is not supported
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709.2381
Bremsstrahlung Effects around Evaporating Black Holes
We discuss a variety of bremsstrahlung processes associated with charged particles emitted by evaporating black holes. We show that such particles produce a negligible number of bremsstrahlung photons from their scattering off each other, though at low frequencies inner bremsstrahlung photons dominate over the direct Hawking emission of photons. This analysis and the further analysis of the accompanying paper invalidate Heckler's claim that sufficiently hot evaporating black holes form QED photospheres.
astro-ph gr-qc hep-th
we discuss a variety of bremsstrahlung processes associated with charged particles emitted by evaporating black holes we show that such particles produce a negligible number of bremsstrahlung photons from their scattering off each other though at low frequencies inner bremsstrahlung photons dominate over the direct hawking emission of photons this analysis and the further analysis of the accompanying paper invalidate hecklers claim that sufficiently hot evaporating black holes form qed photospheres
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709.2382
A Direct Precision Measurement of the Intergalactic Lyman-alpha Opacity at 2<z<4.2
We directly measure the evolution of the intergalactic Lya effective optical depth, tau_eff, over the redshift range 2<z<4.2 from a sample of 86 high-resolution, high-signal-to-noise quasar spectra obtained with the ESI and HIRES spectrographs on Keck, and with the MIKE spectrograph on Magellan. This represents an improvement over previous analyses of the Lya forest from high-resolution spectra in this redshift interval of a factor of two in the size of the data set alone. We pay particular attention to robust error estimation and extensively test for systematic effects. We find that our estimates of the quasar continuum levels in the Lya forest obtained by spline fitting are systematically biased low, with the magnitude of the bias increasing with redshift, but that this bias can be accounted for using mock spectra. The mean fractional error is <1% at z=2, 4% at z=3, and 12% at z=4. Previous measurements of tau_eff at z>~3 based on directly fitting the quasar continua in the Lya forest, which have generally neglected this effect, are therefore likely biased low. We provide estimates of the level of absorption arising from metals in the Lya forest based on both direct and statistical metal removal results in the literature, finding that this contribution is ~6-9% at z=3 and decreases monotonically with redshift. The high precision of our measurement, attaining 3% in redshift bins of width Delta z=0.2 around z=3, indicates significant departures from the best-fit power-law redshift evolution (tau_eff=0.0018(1+z)^3.92, when metals are left in), particularly near z=3.2. The observed downward departure is statistically consistent with a similar feature detected in a precision statistical measurement using Sloan Digital Sky Survey spectra by Bernardi and coworkers using an independent approach.
astro-ph
we directly measure the evolution of the intergalactic lya effective optical depth tau_eff over the redshift range 2z42 from a sample of 86 highresolution highsignaltonoise quasar spectra obtained with the esi and hires spectrographs on keck and with the mike spectrograph on magellan this represents an improvement over previous analyses of the lya forest from highresolution spectra in this redshift interval of a factor of two in the size of the data set alone we pay particular attention to robust error estimation and extensively test for systematic effects we find that our estimates of the quasar continuum levels in the lya forest obtained by spline fitting are systematically biased low with the magnitude of the bias increasing with redshift but that this bias can be accounted for using mock spectra the mean fractional error is 1 at z2 4 at z3 and 12 at z4 previous measurements of tau_eff at z3 based on directly fitting the quasar continua in the lya forest which have generally neglected this effect are therefore likely biased low we provide estimates of the level of absorption arising from metals in the lya forest based on both direct and statistical metal removal results in the literature finding that this contribution is 69 at z3 and decreases monotonically with redshift the high precision of our measurement attaining 3 in redshift bins of width delta z02 around z3 indicates significant departures from the bestfit powerlaw redshift evolution tau_eff000181z392 when metals are left in particularly near z32 the observed downward departure is statistically consistent with a similar feature detected in a precision statistical measurement using sloan digital sky survey spectra by bernardi and coworkers using an independent approach
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709.2383
On rough isometries of Poisson processes on the line
Intuitively, two metric spaces are rough isometric (or quasi-isometric) if their large-scale metric structure is the same, ignoring fine details. This concept has proven fundamental in the geometric study of groups. Ab\'{e}rt, and later Szegedy and Benjamini, have posed several probabilistic questions concerning this concept. In this article, we consider one of the simplest of these: are two independent Poisson point processes on the line rough isometric almost surely? Szegedy conjectured that the answer is positive. Benjamini proposed to consider a quantitative version which roughly states the following: given two independent percolations on $\mathbb {N}$, for which constants are the first $n$ points of the first percolation rough isometric to an initial segment of the second, with the first point mapping to the first point and with probability uniformly bounded from below? We prove that the original question is equivalent to proving that absolute constants are possible in this quantitative version. We then make some progress toward the conjecture by showing that constants of order $\sqrt{\log n}$ suffice in the quantitative version. This is the first result to improve upon the trivial construction which has constants of order $\log n$. Furthermore, the rough isometry we construct is (weakly) monotone and we include a discussion of monotone rough isometries, their properties and an interesting lattice structure inherent in them.
math.PR
intuitively two metric spaces are rough isometric or quasiisometric if their largescale metric structure is the same ignoring fine details this concept has proven fundamental in the geometric study of groups abert and later szegedy and benjamini have posed several probabilistic questions concerning this concept in this article we consider one of the simplest of these are two independent poisson point processes on the line rough isometric almost surely szegedy conjectured that the answer is positive benjamini proposed to consider a quantitative version which roughly states the following given two independent percolations on mathbb n for which constants are the first n points of the first percolation rough isometric to an initial segment of the second with the first point mapping to the first point and with probability uniformly bounded from below we prove that the original question is equivalent to proving that absolute constants are possible in this quantitative version we then make some progress toward the conjecture by showing that constants of order sqrtlog n suffice in the quantitative version this is the first result to improve upon the trivial construction which has constants of order log n furthermore the rough isometry we construct is weakly monotone and we include a discussion of monotone rough isometries their properties and an interesting lattice structure inherent in them
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709.2384
Observations of LSI+61303 with Swift
The TeV emitting high-mass X-ray binary system LSI+61303 was observed with the Swift satellite from early September 2006 to early January 2007. Many of these observations were contemporaneous with TeV observations. The data consist of observations on 24 separate days with durations ranging between 700s and 4700s, and partially cover 4.5 orbital periods of the binary system. We present here an analysis of the 0.2 to 10keV X-ray data from the Swift-XRT instrument. Contemporaneous optical data from UVOT are also available.
astro-ph
the tev emitting highmass xray binary system lsi61303 was observed with the swift satellite from early september 2006 to early january 2007 many of these observations were contemporaneous with tev observations the data consist of observations on 24 separate days with durations ranging between 700s and 4700s and partially cover 45 orbital periods of the binary system we present here an analysis of the 02 to 10kev xray data from the swiftxrt instrument contemporaneous optical data from uvot are also available
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709.2385
Applications of Fast Convolution on the Sphere
We present several diverse applications of the spherical fast convolution method suggested by Wandelt and Gorski (2001), which is useful for studies of telescope optical properties and for construction of shaped filters for analysis of all-sky data. We study sidelobe pickup in three design concepts for the CALISTO infrared telescope. The beam convolution allows for direct comparison of the performance of each telescope design. At 100 microns, the best of these designs limits sidelobe contamination from Galactic dust emission to < 0.1 MJy/sr for most of the sky with |b| > 25 deg. With the fast convolution method, we illustrate the impact of asymmetric primary beams on the recovery of the temperature power spectrum for the Planck microwave background mission. Finally, we use the fast convolution method to specify a class of orientable filters on the sphere, working through a pedagogical example.
astro-ph
we present several diverse applications of the spherical fast convolution method suggested by wandelt and gorski 2001 which is useful for studies of telescope optical properties and for construction of shaped filters for analysis of allsky data we study sidelobe pickup in three design concepts for the calisto infrared telescope the beam convolution allows for direct comparison of the performance of each telescope design at 100 microns the best of these designs limits sidelobe contamination from galactic dust emission to 01 mjysr for most of the sky with b 25 deg with the fast convolution method we illustrate the impact of asymmetric primary beams on the recovery of the temperature power spectrum for the planck microwave background mission finally we use the fast convolution method to specify a class of orientable filters on the sphere working through a pedagogical example
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709.2386
The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
We study the phase diagram of the zero-temperature, one-dimensional Bose-Fermi-Hubbard model for fixed fermion density in the limit of small fermionic hopping. This model can be regarded as an instance of a disordered Bose-Hubbard model with dichotomic values of the stochastic variables. Phase boundaries between compressible, incompressible (Mott-insulating) and partially compressible phases are derived analytically within a generalized strong-coupling expansion and numerically using density matrix renormalization group (DMRG) methods. We show that first-order correlations in the partially compressible phases decay exponentially, indicating a glass-type behaviour. Fluctuations within the respective incompressible phases are determined using perturbation theory and are compared to DMRG results.
cond-mat.other
we study the phase diagram of the zerotemperature onedimensional bosefermihubbard model for fixed fermion density in the limit of small fermionic hopping this model can be regarded as an instance of a disordered bosehubbard model with dichotomic values of the stochastic variables phase boundaries between compressible incompressible mottinsulating and partially compressible phases are derived analytically within a generalized strongcoupling expansion and numerically using density matrix renormalization group dmrg methods we show that firstorder correlations in the partially compressible phases decay exponentially indicating a glasstype behaviour fluctuations within the respective incompressible phases are determined using perturbation theory and are compared to dmrg results
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709.2387
Crystallography, magnetic susceptibility, heat capacity, and electrical resistivity of heavy fermion LiV$_2$O$_4$ single crystals grown using a self-flux technique
Magnetically pure spinel compound ${\rm LiV_2O_4}$ is a rare $d$-electron heavy fermion. Measurements on single crystals are needed to clarify the mechanism for the heavy fermion behavior in the pure material. In addition, it is known that small concentrations ($< 1$ mol%) of magnetic defects in the structure strongly affect the properties, and measurements on single crystals containing magnetic defects would help to understand the latter behaviors. Herein, we report flux growth of ${\rm LiV_2O_4}$ and preliminary measurements to help resolve these questions. The magnetic susceptibility of some as-grown crystals show a Curie-like upturn at low temperatures, showing the presence of magnetic defects within the spinel structure. The magnetic defects could be removed in some of the crystals by annealing them at 700 $^\circ$C\@. A very high specific heat coefficient $\gamma$ = 450 mJ/(mol K${^2}$\@) was obtained at a temperature of 1.8 K for a crystal containing a magnetic defect concentration $n$${\rm_{defect}}$ = 0.5 mol%. A crystal with $n$${\rm _{defect}}$ = 0.01 mol% showed a residual resistivity ratio of 50.
cond-mat.str-el
magnetically pure spinel compound rm liv_2o_4 is a rare delectron heavy fermion measurements on single crystals are needed to clarify the mechanism for the heavy fermion behavior in the pure material in addition it is known that small concentrations 1 mol of magnetic defects in the structure strongly affect the properties and measurements on single crystals containing magnetic defects would help to understand the latter behaviors herein we report flux growth of rm liv_2o_4 and preliminary measurements to help resolve these questions the magnetic susceptibility of some asgrown crystals show a curielike upturn at low temperatures showing the presence of magnetic defects within the spinel structure the magnetic defects could be removed in some of the crystals by annealing them at 700 circc a very high specific heat coefficient gamma 450 mjmol k2 was obtained at a temperature of 18 k for a crystal containing a magnetic defect concentration nrm_defect 05 mol a crystal with nrm _defect 001 mol showed a residual resistivity ratio of 50
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709.2388
Stability of Topological Black Holes
We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge invariant formalism of Ishibashi and Kodama, gravitational perturbations are classified as being of scalar, vector, or tensor type, depending on their transformation properties with respect to the horizon manifold. For the massless black hole, we show that the perturbation equations for all modes can be reduced to a simple scalar field equation. This equation is exactly solvable in terms of hypergeometric functions, thus allowing an exact analytic determination of potential gravitational instabilities. We establish a necessary and sufficient condition for stability, in terms of the eigenvalues $\lambda$ of the Lichnerowicz operator on the horizon manifold, namely $\lambda \geq -4(d-2)$. For the case of negative mass black holes, we show that a sufficient condition for stability is given by $\lambda \geq -2(d-3)$.
hep-th gr-qc
we explore the classical stability of topological black holes in ddimensional antide sitter spacetime where the horizon is an einstein manifold of negative curvature according to the gauge invariant formalism of ishibashi and kodama gravitational perturbations are classified as being of scalar vector or tensor type depending on their transformation properties with respect to the horizon manifold for the massless black hole we show that the perturbation equations for all modes can be reduced to a simple scalar field equation this equation is exactly solvable in terms of hypergeometric functions thus allowing an exact analytic determination of potential gravitational instabilities we establish a necessary and sufficient condition for stability in terms of the eigenvalues lambda of the lichnerowicz operator on the horizon manifold namely lambda geq 4d2 for the case of negative mass black holes we show that a sufficient condition for stability is given by lambda geq 2d3
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709.2389
Dichroic f-sum rule and the orbital magnetization of crystals
We consider the magnetic circular dichroism spectrum of a crystal with broken time-reversal symmetry in the electric-dipole approximation. Using the Kubo-Greenwood formula for the absorptive part of the antisymmetric optical conductivity, its frequency integral is recast as a ground-state property. We show that in insulators this quantity is proportional to the circulation of the occupied Wannier orbitals around their centers (more precisely, to the gauge-invariant part thereof). This differs from the net circulation, or ground state orbital magnetization, which has two additional contributions: (i) the remaining Wannier self-rotation, and (ii) the ``itinerant'' circulation arising from the center-of-mass motion of the Wannier orbitals, both on the surface and in the interior of the sample. Contributions (i) and (ii) are not separately meaningful, since their individual values depend on the particular choice of Wannier functions. Their sum is however gauge-invariant, and can be inferred from a combination of two experiments: a measurement of the magneto-optical spectrum over a sufficiently wide range to evaluate the sum rule, and a gyromagnetic determination of the total orbital magnetization.
cond-mat.mtrl-sci cond-mat.mes-hall
we consider the magnetic circular dichroism spectrum of a crystal with broken timereversal symmetry in the electricdipole approximation using the kubogreenwood formula for the absorptive part of the antisymmetric optical conductivity its frequency integral is recast as a groundstate property we show that in insulators this quantity is proportional to the circulation of the occupied wannier orbitals around their centers more precisely to the gaugeinvariant part thereof this differs from the net circulation or ground state orbital magnetization which has two additional contributions i the remaining wannier selfrotation and ii the itinerant circulation arising from the centerofmass motion of the wannier orbitals both on the surface and in the interior of the sample contributions i and ii are not separately meaningful since their individual values depend on the particular choice of wannier functions their sum is however gaugeinvariant and can be inferred from a combination of two experiments a measurement of the magnetooptical spectrum over a sufficiently wide range to evaluate the sum rule and a gyromagnetic determination of the total orbital magnetization
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709.239
Background Independence and the Open Topological String Wavefunction
The open topological string partition function in the background of a D-brane on a Calabi-Yau threefold specifies a state in the Hilbert space associated with the quantization of the underlying special geometry. This statement is a consequence of the extended holomorphic anomaly equation after an appropriate shift of the closed string variables, and can be viewed as the expression of background independence for the open-closed topological string. We also clarify various other aspects of the structure of the extended holomorphic anomaly equation. We conjecture that the collection of all D-branes furnishes a basis of the Hilbert space, and revisit the BPS interpretation of the open topological string wavefunction in this light.
hep-th
the open topological string partition function in the background of a dbrane on a calabiyau threefold specifies a state in the hilbert space associated with the quantization of the underlying special geometry this statement is a consequence of the extended holomorphic anomaly equation after an appropriate shift of the closed string variables and can be viewed as the expression of background independence for the openclosed topological string we also clarify various other aspects of the structure of the extended holomorphic anomaly equation we conjecture that the collection of all dbranes furnishes a basis of the hilbert space and revisit the bps interpretation of the open topological string wavefunction in this light
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709.2391
Potential for ultrafast dynamic chemical imaging with few-cycle infrared lasers
We studied the photoelectron spectra generated by an intense few-cycle infrared laser pulse. By focusing on the angular distributions of the back rescattered high energy photoelectrons, we show that accurate differential elastic scattering cross sections of the target ion by free electrons can be extracted. Since the incident direction and the energy of the free electrons can be easily changed by manipulating the laser's polarization, intensity, and wavelength, these extracted elastic scattering cross sections, in combination with more advanced inversion algorithms, may be used to reconstruct the effective single-scattering potential of the molecule, thus opening up the possibility of using few-cycle infrared lasers as powerful table-top tools for imaging chemical and biological transformations, with the desired unprecedented temporal and spatial resolutions.
physics.atom-ph physics.chem-ph
we studied the photoelectron spectra generated by an intense fewcycle infrared laser pulse by focusing on the angular distributions of the back rescattered high energy photoelectrons we show that accurate differential elastic scattering cross sections of the target ion by free electrons can be extracted since the incident direction and the energy of the free electrons can be easily changed by manipulating the lasers polarization intensity and wavelength these extracted elastic scattering cross sections in combination with more advanced inversion algorithms may be used to reconstruct the effective singlescattering potential of the molecule thus opening up the possibility of using fewcycle infrared lasers as powerful tabletop tools for imaging chemical and biological transformations with the desired unprecedented temporal and spatial resolutions
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709.2392
Growth and optical properties of self-assembled InGaAs Quantum Posts
We demonstrate a method to grow height controlled, dislocation-free InGaAs quantum posts (QPs) on GaAs by molecular beam epitaxy (MBE) which is confirmed by structural investigations. The optical properties are compared to realistic 8-band k.p calculations of the electronic structure which fully account for strain and the structural properties of the QP. Using QPs embedded in n-i-p junctions we find wide range tunability of the interband spectrum and giant static dipole moments.
cond-mat.mtrl-sci cond-mat.mes-hall quant-ph
we demonstrate a method to grow height controlled dislocationfree ingaas quantum posts qps on gaas by molecular beam epitaxy mbe which is confirmed by structural investigations the optical properties are compared to realistic 8band kp calculations of the electronic structure which fully account for strain and the structural properties of the qp using qps embedded in nip junctions we find wide range tunability of the interband spectrum and giant static dipole moments
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709.2393
KAM for the Non-Linear Schr\"odinger Equation
We consider the $d$-dimensional nonlinear Schr\"odinger equation under periodic boundary conditions: $-i\dot u=-\Delta u+V(x)*u+\ep \frac{\p F}{\p \bar u}(x,u,\bar u), \quad u=u(t,x), x\in\T^d $ where $V(x)=\sum \hat V(a)e^{i\sc{a,x}}$ is an analytic function with $\hat V$ real, and $F$ is a real analytic function in $\Re u$, $\Im u$ and $x$. (This equation is a popular model for the `real' NLS equation, where instead of the convolution term $V*u$ we have the potential term $Vu$.) For $\ep=0$ the equation is linear and has time--quasi-periodic solutions $u$, $$ u(t,x)=\sum_{a\in \AA}\hat u(a)e^{i(|a|^2+\hat V(a))t}e^{i\sc{a,x}} \quad (|\hat u(a)|>0), $$ where $\AA$ is any finite subset of $\Z^d$. We shall treat $\omega_a=|a|^2+\hat V(a)$, $a\in\AA$, as free parameters in some domain $U\subset\R^{\AA}$. This is a Hamiltonian system in infinite degrees of freedom, degenerate but with external parameters, and we shall describe a KAM-theory which, under general conditions, will have the following consequence: If $|\ep|$ is sufficiently small, then there is a large subset $U'$ of $U$ such that for all $\omega\in U'$ the solution $u$ persists as a time--quasi-periodic solution which has all Lyapounov exponents equal to zero and whose linearized equation is reducible to constant coefficients.
math.AP math.DS
we consider the ddimensional nonlinear schrodinger equation under periodic boundary conditions idot udelta uvxuep fracp fp bar uxubar u quad uutx xintd where vxsum hat vaeiscax is an analytic function with hat v real and f is a real analytic function in re u im u and x this equation is a popular model for the real nls equation where instead of the convolution term vu we have the potential term vu for ep0 the equation is linear and has timequasiperiodic solutions u utxsum_ain aahat uaeia2hat vateiscax quad hat ua0 where aa is any finite subset of zd we shall treat omega_aa2hat va ainaa as free parameters in some domain usubsetraa this is a hamiltonian system in infinite degrees of freedom degenerate but with external parameters and we shall describe a kamtheory which under general conditions will have the following consequence if ep is sufficiently small then there is a large subset u of u such that for all omegain u the solution u persists as a timequasiperiodic solution which has all lyapounov exponents equal to zero and whose linearized equation is reducible to constant coefficients
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709.2394
Exceptional Lie Groups, E-infinity Theory and Higgs Boson
In this paper, we study the correlation between the exceptional lie groups and El-Naschie's transfinite E-infinity spacetime theory. Subsequently this is used to calculate the number of elementary particles in the standard model, mass of the Higgs boson and some coupling constants.
physics.gen-ph
in this paper we study the correlation between the exceptional lie groups and elnaschies transfinite einfinity spacetime theory subsequently this is used to calculate the number of elementary particles in the standard model mass of the higgs boson and some coupling constants
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709.2395
The Iterative Unitary Matrix Multiply Method and Its Application to Quantum Kicked Rotator
We use the iterative unitary matrix multiply method to calculate the long time behavior of the resonant quantum kicked rotator with a large denominator. The delocalization time is exponentially large. The quantum wave delocalizes through degenerate states. At last we construct a nonresonant quantum kicked rotator with delocalization.
nlin.CD
we use the iterative unitary matrix multiply method to calculate the long time behavior of the resonant quantum kicked rotator with a large denominator the delocalization time is exponentially large the quantum wave delocalizes through degenerate states at last we construct a nonresonant quantum kicked rotator with delocalization
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709.2396
e^+e^- Annihilations into Quasi-two-body Final States at 10.58 GeV
We report the first observation of $e^+e^-$ annihilations into hadronic states of positive $C$-parity, $\rho^0 \rho^0$ and $\phi\rho^0$. The angular distributions support two-virtual-photon annihilation production. We also report the observations of $e^+e^-\to \phi\eta$ and a preliminary result on $e^+e^-\to \rho^+\rho^-$.
hep-ex
we report the first observation of ee annihilations into hadronic states of positive cparity rho0 rho0 and phirho0 the angular distributions support twovirtualphoton annihilation production we also report the observations of eeto phieta and a preliminary result on eeto rhorho
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709.2397
Hinode Observations of Vector Magnetic Field Change Associated with a Flare on 2006 December 13
Continuous observations of a flare productive active region 10930 were successfully carried out with the Solar Optical Telescope onboard the Hinode spacecraft during 2007 December 6 to 19. We focus on the evolution of photospheric magnetic fields in this active region, and magnetic field properties at the site of the X3.4 class flare, using a time series of vector field maps with high spatial resolution. The X3.4 class flare occurred on 2006 December 13 at the apparent collision site between the large, opposite polarity umbrae. Elongated magnetic structures with alternatingly positive and negative polarities resulting from flux emergence appeared one day before the flare in the collision site penumbra. Subsequently, the polarity inversion line at the collision site became very complicated. The number of bright loops in Ca II H increased during the formation of these elongated magnetic structures. The flare ribbons and bright loops evolved along the polarity inversion line and one footpoint of the bright loop was located in a region having a large departure of field azimuth angle with respect to its surroundings. The SOT observations with high spatial resolution and high polarization precision reveal temporal change in fine structure of magnetic fields at the flare site: some parts of the complicated polarity inversion line then disappeared, and in those regions the azimuth angle of photospheric magnetic field changed by about 90 degrees, becoming more spatially uniform within the collision site.
astro-ph
continuous observations of a flare productive active region 10930 were successfully carried out with the solar optical telescope onboard the hinode spacecraft during 2007 december 6 to 19 we focus on the evolution of photospheric magnetic fields in this active region and magnetic field properties at the site of the x34 class flare using a time series of vector field maps with high spatial resolution the x34 class flare occurred on 2006 december 13 at the apparent collision site between the large opposite polarity umbrae elongated magnetic structures with alternatingly positive and negative polarities resulting from flux emergence appeared one day before the flare in the collision site penumbra subsequently the polarity inversion line at the collision site became very complicated the number of bright loops in ca ii h increased during the formation of these elongated magnetic structures the flare ribbons and bright loops evolved along the polarity inversion line and one footpoint of the bright loop was located in a region having a large departure of field azimuth angle with respect to its surroundings the sot observations with high spatial resolution and high polarization precision reveal temporal change in fine structure of magnetic fields at the flare site some parts of the complicated polarity inversion line then disappeared and in those regions the azimuth angle of photospheric magnetic field changed by about 90 degrees becoming more spatially uniform within the collision site
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709.2398
Modeling of the multiwavelength emission of M87 with H.E.S.S. observations
M87 is the first extragalactic source detected in the TeV range that is not a blazar. The large scale jet of M87 is not aligned with the line of sight. Modification of standard emission models of TeV blazars appears necessary to account for the gamma-ray observations made by H.E.S.S. despite this misalignment. We present a new multi-blob synchrotron self-Compton model that deals explicitly with large viewing angles and moderate values of the Lorentz factor inferred from MHD simulations of jet formation.
astro-ph
m87 is the first extragalactic source detected in the tev range that is not a blazar the large scale jet of m87 is not aligned with the line of sight modification of standard emission models of tev blazars appears necessary to account for the gammaray observations made by hess despite this misalignment we present a new multiblob synchrotron selfcompton model that deals explicitly with large viewing angles and moderate values of the lorentz factor inferred from mhd simulations of jet formation
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709.2399
Ghosts in the self-accelerating universe
The self-accelerating universe realizes the accelerated expansion of the universe at late times by large-distance modification of general relativity without a cosmological constant. The Dvali-Gabadadze-Porrati (DGP) braneworld model provides an explicit example of the self-accelerating universe. Recently, the DGP model becomes very popular to study the observational consequences of the modified gravity models as an alternative to dark energy models in GR. However, it has been shown that the self-accelerating universe in the DGP model contains a ghost at the linearized level. The ghost carries negative energy densities and it leads to the instability of the spacetime. In this article, we review the origin of the ghost in the self-accelerating universe and explore the physical implication of the existence of the ghost.
hep-th astro-ph gr-qc
the selfaccelerating universe realizes the accelerated expansion of the universe at late times by largedistance modification of general relativity without a cosmological constant the dvaligabadadzeporrati dgp braneworld model provides an explicit example of the selfaccelerating universe recently the dgp model becomes very popular to study the observational consequences of the modified gravity models as an alternative to dark energy models in gr however it has been shown that the selfaccelerating universe in the dgp model contains a ghost at the linearized level the ghost carries negative energy densities and it leads to the instability of the spacetime in this article we review the origin of the ghost in the selfaccelerating universe and explore the physical implication of the existence of the ghost
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709.24
Predictions of Very High Energy gamma-ray fluxes for three Active Galactic Nuclei
M87 is the first extragalactic source detected at the TeV that is not a blazar. To account for the recent observations of M87 made by the High Energy Stereoscopic System (H.E.S.S.) telescope array, we developed a new multi-blob synchrotron self-Compton model. In the framework of this model, we present here the predictions for the very high energy emission of three active galactic nuclei with extended optical or X-ray jets which could be misaligned blazars, namely Cen A, PKS 0521-36 and 3C 273.
astro-ph
m87 is the first extragalactic source detected at the tev that is not a blazar to account for the recent observations of m87 made by the high energy stereoscopic system hess telescope array we developed a new multiblob synchrotron selfcompton model in the framework of this model we present here the predictions for the very high energy emission of three active galactic nuclei with extended optical or xray jets which could be misaligned blazars namely cen a pks 052136 and 3c 273
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709.2401
Bootstrapping Deep Lexical Resources: Resources for Courses
We propose a range of deep lexical acquisition methods which make use of morphological, syntactic and ontological language resources to model word similarity and bootstrap from a seed lexicon. The different methods are deployed in learning lexical items for a precision grammar, and shown to each have strengths and weaknesses over different word classes. A particular focus of this paper is the relative accessibility of different language resource types, and predicted ``bang for the buck'' associated with each in deep lexical acquisition applications.
cs.CL
we propose a range of deep lexical acquisition methods which make use of morphological syntactic and ontological language resources to model word similarity and bootstrap from a seed lexicon the different methods are deployed in learning lexical items for a precision grammar and shown to each have strengths and weaknesses over different word classes a particular focus of this paper is the relative accessibility of different language resource types and predicted bang for the buck associated with each in deep lexical acquisition applications
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709.2402
Current in a three-dimensional periodic tube with unbiased forces
Transport of a Brownian particle moving along the axis of a three-dimensional asymmetric periodic tube is investigated in the presence of asymmetric unbiased forces. The reduction of the coordinates may involve not only the appearance of entropic barrier but also the effective diffusion coefficient. It is found that in the presence of entropic barrier, the asymmetry of the tube shape and the asymmetry of the unbiased forces are the two ways of inducing a net current. The current is a peaked function of temperature which indicates that the thermal noise may facilitate the transport even in the presence of entropic barrier. There exists an optimized radius at the bottleneck at which the current takes its maximum value. Competition between the two opposite driving factors may induce current reversal.
cond-mat.stat-mech cond-mat.soft
transport of a brownian particle moving along the axis of a threedimensional asymmetric periodic tube is investigated in the presence of asymmetric unbiased forces the reduction of the coordinates may involve not only the appearance of entropic barrier but also the effective diffusion coefficient it is found that in the presence of entropic barrier the asymmetry of the tube shape and the asymmetry of the unbiased forces are the two ways of inducing a net current the current is a peaked function of temperature which indicates that the thermal noise may facilitate the transport even in the presence of entropic barrier there exists an optimized radius at the bottleneck at which the current takes its maximum value competition between the two opposite driving factors may induce current reversal
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709.2403
Facilitated movement of inertial Brownian motors driven by a load under an asymmetric potential
Based on recent work [L. Machura, M. Kostur, P. Talkner, J. Luczka, and P. Hanggi, Phys. Rev. Lett. 98, 040601 (2007)], we extend the study of inertial Brownian motors to the case of an asymmetric potential. It is found that some transport phenomena appear in the presence of an asymmetric potential. Within tailored parameter regimes, there exists two optimal values of the load at which the mean velocity takes its maximum, which means that a load can facilitate the transport in the two parameter regimes. In addition, the phenomenon of multiple current reversals can be observed when the load is increased.
cond-mat.stat-mech cond-mat.soft
based on recent work l machura m kostur p talkner j luczka and p hanggi phys rev lett 98 040601 2007 we extend the study of inertial brownian motors to the case of an asymmetric potential it is found that some transport phenomena appear in the presence of an asymmetric potential within tailored parameter regimes there exists two optimal values of the load at which the mean velocity takes its maximum which means that a load can facilitate the transport in the two parameter regimes in addition the phenomenon of multiple current reversals can be observed when the load is increased
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709.2404
Markov Chain Hidden behind Power Law Mechanism of Self-organized Criticality
To describe and analyze the dynamics of Self-Organized Criticality (SOC) systems, a four-state continuous-time Markov model is proposed in this paper. Different to computer simulation or numeric experimental approaches commonly employed for explaining the power law in SOC, in this paper, based on this Markov model, using E.T.Jayness' Maximum Entropy method, we have derived a mathematical proof on the power law distribution for the size of these events. Both this Makov model and the mathematical proof on power law present a new angle on the universality of power law distributions, they also show that the scale free property exists not necessary only in SOC system, but in a class of dynamical systems which can be modelled by the proposed Markov model.
cond-mat.stat-mech
to describe and analyze the dynamics of selforganized criticality soc systems a fourstate continuoustime markov model is proposed in this paper different to computer simulation or numeric experimental approaches commonly employed for explaining the power law in soc in this paper based on this markov model using etjayness maximum entropy method we have derived a mathematical proof on the power law distribution for the size of these events both this makov model and the mathematical proof on power law present a new angle on the universality of power law distributions they also show that the scale free property exists not necessary only in soc system but in a class of dynamical systems which can be modelled by the proposed markov model
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709.2405
New Complexity Bounds for Certain Real Fewnomial Zero Sets
Consider real bivariate polynomials f and g, respectively having 3 and m monomial terms. We prove that for all m>=3, there are systems of the form (f,g) having exactly 2m-1 roots in the positive quadrant. Even examples with m=4 having 7 positive roots were unknown before this paper, so we detail an explicit example of this form. We also present an O(n^{11}) upper bound for the number of diffeotopy types of the real zero set of an n-variate polynomial with n+4 monomial terms.
math.AG cs.CG
consider real bivariate polynomials f and g respectively having 3 and m monomial terms we prove that for all m3 there are systems of the form fg having exactly 2m1 roots in the positive quadrant even examples with m4 having 7 positive roots were unknown before this paper so we detail an explicit example of this form we also present an on11 upper bound for the number of diffeotopy types of the real zero set of an nvariate polynomial with n4 monomial terms
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709.2406
All-Optical Switching with Transverse Optical Patterns
We demonstrate an all-optical switch that operates at ultra-low-light levels and exhibits several features necessary for use in optical switching networks. An input switching beam, wavelength $\lambda$, with an energy density of $10^{-2}$ photons per optical cross section [$\sigma=\lambda^2/(2\pi)$] changes the orientation of a two-spot pattern generated via parametric instability in warm rubidium vapor. The instability is induced with less than 1 mW of total pump power and generates several $\mu$Ws of output light. The switch is cascadable: the device output is capable of driving multiple inputs, and exhibits transistor-like signal-level restoration with both saturated and intermediate response regimes. Additionally, the system requires an input power proportional to the inverse of the response time, which suggests thermal dissipation does not necessarily limit the practicality of optical logic devices.
physics.optics nlin.PS
we demonstrate an alloptical switch that operates at ultralowlight levels and exhibits several features necessary for use in optical switching networks an input switching beam wavelength lambda with an energy density of 102 photons per optical cross section sigmalambda22pi changes the orientation of a twospot pattern generated via parametric instability in warm rubidium vapor the instability is induced with less than 1 mw of total pump power and generates several muws of output light the switch is cascadable the device output is capable of driving multiple inputs and exhibits transistorlike signallevel restoration with both saturated and intermediate response regimes additionally the system requires an input power proportional to the inverse of the response time which suggests thermal dissipation does not necessarily limit the practicality of optical logic devices
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709.2407
Assessment method for photo-induced waveguides
A method to probe the guiding characteristics of waveguides formed in real-time is proposed and evaluated. It is based on the analysis of the time dependent light distribution observed at the exit face of the waveguide while progressively altering its index profile and probed by a large diameter optical beam. A beam propagation method is used to model the observed dynamics. The technique is applied to retrieve the properties of soliton-induced waveguides.
physics.optics
a method to probe the guiding characteristics of waveguides formed in realtime is proposed and evaluated it is based on the analysis of the time dependent light distribution observed at the exit face of the waveguide while progressively altering its index profile and probed by a large diameter optical beam a beam propagation method is used to model the observed dynamics the technique is applied to retrieve the properties of solitoninduced waveguides
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709.2408
Canonical matrices of bilinear and sesquilinear forms
Canonical matrices are given for (a) bilinear forms over an algebraically closed or real closed field; (b) sesquilinear forms over an algebraically closed field and over real quaternions with any nonidentity involution; and (c) sesquilinear forms over a field F of characteristic different from 2 with involution (possibly, the identity) up to classification of Hermitian forms over finite extensions of F. A method for reducing the problem of classifying systems of forms and linear mappings to the problem of classifying systems of linear mappings is used to construct the canonical matrices. This method has its origins in representation theory and was devised in [V.V. Sergeichuk, Math. USSR-Izv. 31 (1988) 481-501].
math.RT
canonical matrices are given for a bilinear forms over an algebraically closed or real closed field b sesquilinear forms over an algebraically closed field and over real quaternions with any nonidentity involution and c sesquilinear forms over a field f of characteristic different from 2 with involution possibly the identity up to classification of hermitian forms over finite extensions of f a method for reducing the problem of classifying systems of forms and linear mappings to the problem of classifying systems of linear mappings is used to construct the canonical matrices this method has its origins in representation theory and was devised in vv sergeichuk math ussrizv 31 1988 481501
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709.2409
Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States
We study topological properties of quasi-particle states in the non-Abelian quantum Hall states. We apply a skein-theoretic method to the Read--Rezayi state whose effective theory is the SU(2)_K Chern--Simons theory. As a generalization of the Pfaffian (K=2) and the Fibonacci (K=3) anyon states, we compute the braiding matrices of quasi-particle states with arbitrary spins. Furthermore we propose a method to compute the entanglement entropy skein-theoretically. We find that the entanglement entropy has a nontrivial contribution called the topological entanglement entropy which depends on the quantum dimension of non-Abelian quasi-particle intertwining two subsystems.
quant-ph
we study topological properties of quasiparticle states in the nonabelian quantum hall states we apply a skeintheoretic method to the readrezayi state whose effective theory is the su2_k chernsimons theory as a generalization of the pfaffian k2 and the fibonacci k3 anyon states we compute the braiding matrices of quasiparticle states with arbitrary spins furthermore we propose a method to compute the entanglement entropy skeintheoretically we find that the entanglement entropy has a nontrivial contribution called the topological entanglement entropy which depends on the quantum dimension of nonabelian quasiparticle intertwining two subsystems
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709.241
Distributed Decision Through Self-Synchronizing Sensor Networks in the Presence of Propagation Delays and Asymmetric Channels
In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local measurements. We model the interaction among the nodes as a directed graph with weights (possibly) dependent on the radio channels and we pose special attention to the effect of the propagation delay occurring in the exchange of data among sensors, as a function of the network geometry. We derive necessary and sufficient conditions for the proposed system to reach a consensus on globally optimal decision statistics. One of the major results proved in this work is that a consensus is reached with exponential convergence speed for any bounded delay condition if and only if the directed graph is quasi-strongly connected. We provide a closed form expression for the global consensus, showing that the effect of delays is, in general, the introduction of a bias in the final decision. Finally, we exploit our closed form expression to devise a double-step consensus mechanism able to provide an unbiased estimate with minimum extra complexity, without the need to know or estimate the channel parameters.
cs.MA cs.DC
in this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions either estimation or detection through a selfsynchronization mechanism among linearly coupled integrators initialized with local measurements we model the interaction among the nodes as a directed graph with weights possibly dependent on the radio channels and we pose special attention to the effect of the propagation delay occurring in the exchange of data among sensors as a function of the network geometry we derive necessary and sufficient conditions for the proposed system to reach a consensus on globally optimal decision statistics one of the major results proved in this work is that a consensus is reached with exponential convergence speed for any bounded delay condition if and only if the directed graph is quasistrongly connected we provide a closed form expression for the global consensus showing that the effect of delays is in general the introduction of a bias in the final decision finally we exploit our closed form expression to devise a doublestep consensus mechanism able to provide an unbiased estimate with minimum extra complexity without the need to know or estimate the channel parameters
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709.2411
The ILC Energy Requirements from the Constraints on New Boson Production at the Tevatron
Direct constraints on the masses of new heavy bosons by the Tevatron data are discussed. Some excesses in the experimental data are interpreted as a resonance production of new charged and `leptophobic' neutral chiral bosons with masses around 500 GeV and 700 GeV, respectively. The interpretation was provided on the basis of the theoretical model, proposed by the author about 15 years ago. New Tevatron data and the LHC results will definitely confirm or reject this interpretation. The ILC with an energy above 1 TeV would be an ideal place to produce and to study the properties of these particles.
hep-ph
direct constraints on the masses of new heavy bosons by the tevatron data are discussed some excesses in the experimental data are interpreted as a resonance production of new charged and leptophobic neutral chiral bosons with masses around 500 gev and 700 gev respectively the interpretation was provided on the basis of the theoretical model proposed by the author about 15 years ago new tevatron data and the lhc results will definitely confirm or reject this interpretation the ilc with an energy above 1 tev would be an ideal place to produce and to study the properties of these particles
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709.2412
XMM-Newton observation of the deep minimum state of PG 2112+059: A spectrum dominated by reflection from the accretion disk?
We analyse a 75ks XMM-Newton observation of PG 2112+059 performed in November 2005 and compare it with a 15ks XMM-Newton observation taken in May 2003. PG 2112+059 was found in a deep minimum state as its 0.2-12 keV flux decreased by a factor of 10 in comparison to the May 2003 observation. During the deep minimum state the spectra show strong emission in excess of the continuum in the 3-6 keV region. The excess emission corresponds to an EW = 26.1 keV whereas its shape resembles that of heavily absorbed objects. The spectra of both observations of PG 2112+059 can be explained statistically by a combination of two absorbers where one shows a high column density, $N_{H} \sim 4.5 \times 10^{23} cm^{-2}$, and the other high ionisation parameters. As the ionisation parameter of the high flux state, $\xi \sim 34 erg cm s^{-1}$, is lower than the value found for the deep minimum state, $\xi \sim 110 erg cm s^{-1}$, either the absorbers are physically different or the absorbing material is moving with respect to the X-ray source. The spectra can also be explained by a continuum plus X-ray ionised reflection on the accretion disk, seen behind a warm absorber. The ionisation parameter of the high state ($\xi \sim 5.6 erg cm s^{-1}$) is higher than the ionisation parameter of the deep minimum state ($\xi \sim 0.2 erg cm s^{-1}$), as expected for a stationary absorber. The values found for the ionisation parameters are in the range typical for AGNs. The spectra observed during the deep minimum state are reflection dominated and show no continuum emission. These can be understood in the context of light bending near the supermassive black hole as predicted by Minutti and Fabian.
astro-ph
we analyse a 75ks xmmnewton observation of pg 2112059 performed in november 2005 and compare it with a 15ks xmmnewton observation taken in may 2003 pg 2112059 was found in a deep minimum state as its 0212 kev flux decreased by a factor of 10 in comparison to the may 2003 observation during the deep minimum state the spectra show strong emission in excess of the continuum in the 36 kev region the excess emission corresponds to an ew 261 kev whereas its shape resembles that of heavily absorbed objects the spectra of both observations of pg 2112059 can be explained statistically by a combination of two absorbers where one shows a high column density n_h sim 45 times 1023 cm2 and the other high ionisation parameters as the ionisation parameter of the high flux state xi sim 34 erg cm s1 is lower than the value found for the deep minimum state xi sim 110 erg cm s1 either the absorbers are physically different or the absorbing material is moving with respect to the xray source the spectra can also be explained by a continuum plus xray ionised reflection on the accretion disk seen behind a warm absorber the ionisation parameter of the high state xi sim 56 erg cm s1 is higher than the ionisation parameter of the deep minimum state xi sim 02 erg cm s1 as expected for a stationary absorber the values found for the ionisation parameters are in the range typical for agns the spectra observed during the deep minimum state are reflection dominated and show no continuum emission these can be understood in the context of light bending near the supermassive black hole as predicted by minutti and fabian
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709.2413
Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras
The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced by Goze and Remm to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced by the authors.
math.RA math.QA
the aim of this paper is to generalize the concept of lieadmissible coalgebra introduced by goze and remm to homcoalgebras and to introduce homhopf algebras with some properties these structures are based on the homalgebra structures introduced by the authors
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709.2414
Dynamical Constraints on the Cosmological Parameters
In cosmology, the cosmic curvature $K$ and the cosmological constant $\Lambda$ are two important parameters, and the values have strong influence on the behavior of the universe. In the context of normal cosmology, under the ordinary assumptions of positive mass-energy and initial negative pressure, we find the initial singularity of the universe is certainly absent and we have $K=1$. This means total spatial structure of the universe should be a 3-dimensional sphere $S^3$. For the cyclic cosmological model, we have $\Lambda\lesssim 10^{-24} {\rm ly}^{-2}$. Obviously, such constraints would be helpful for the researches on the properties of dark matter and dark energy in cosmology.
gr-qc astro-ph
in cosmology the cosmic curvature k and the cosmological constant lambda are two important parameters and the values have strong influence on the behavior of the universe in the context of normal cosmology under the ordinary assumptions of positive massenergy and initial negative pressure we find the initial singularity of the universe is certainly absent and we have k1 this means total spatial structure of the universe should be a 3dimensional sphere s3 for the cyclic cosmological model we have lambdalesssim 1024 rm ly2 obviously such constraints would be helpful for the researches on the properties of dark matter and dark energy in cosmology
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709.2415
Maxwell equations in Riemannian space-time, geometry effect on material equations in media
The known possibility to consider the (vacuum) Maxwell equations in a curved space-time as Maxwell equations in flat space-time(Mandel'stam L.I., Tamm I.E.) taken in an effective media the properties of which are determined by metrical structure of the curved model is studied. Metrical structure of the curved space-time generates effective constitutive equations for electromagnetic fields, the form of four corresponding symmetrical tensors is found explicitly for general case of an arbitrary Riemannian space - time. Four constitutive tensors are not independent and obey some additional constraints between them. Several simple examples are specified in detail:itis given geometrical modeling of the anisotropic media (magnetic crystals) and the geometrical modeling of a uniform media in moving reference frame in the Minkowsky electrodynamics -- the latter is realized trough the use of a non-diagonal metrical tensor determined by 4-vector velocity of the moving uniform media. Also the effective material equations generated by geometry of space of constant curvature (Lobachevsky and Riemann models) are determined.
physics.class-ph physics.gen-ph
the known possibility to consider the vacuum maxwell equations in a curved spacetime as maxwell equations in flat spacetimemandelstam li tamm ie taken in an effective media the properties of which are determined by metrical structure of the curved model is studied metrical structure of the curved spacetime generates effective constitutive equations for electromagnetic fields the form of four corresponding symmetrical tensors is found explicitly for general case of an arbitrary riemannian space time four constitutive tensors are not independent and obey some additional constraints between them several simple examples are specified in detailitis given geometrical modeling of the anisotropic media magnetic crystals and the geometrical modeling of a uniform media in moving reference frame in the minkowsky electrodynamics the latter is realized trough the use of a nondiagonal metrical tensor determined by 4vector velocity of the moving uniform media also the effective material equations generated by geometry of space of constant curvature lobachevsky and riemann models are determined
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709.2416
Measuring Volatility Clustering in Stock Markets
We propose a novel method to quantify the clustering behavior in a complex time series and apply it to a high-frequency data of the financial markets. We find that regardless of used data sets, all data exhibits the volatility clustering properties, whereas those which filtered the volatility clustering effect by using the GARCH model reduce volatility clustering significantly. The result confirms that our method can measure the volatility clustering effect in financial market.
q-fin.ST physics.data-an
we propose a novel method to quantify the clustering behavior in a complex time series and apply it to a highfrequency data of the financial markets we find that regardless of used data sets all data exhibits the volatility clustering properties whereas those which filtered the volatility clustering effect by using the garch model reduce volatility clustering significantly the result confirms that our method can measure the volatility clustering effect in financial market
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709.2417
The solar chromosphere at high resolution with IBIS. I. New insights from the Ca II 854.2 nm line
(Abridged) Aims: In this paper, we seek to establish the suitability of imaging spectroscopy performed in the Ca II 854.2 nm line as a means to investigate the solar chromosphere at high resolution. Methods: We utilize monochromatic images obtained with the Interferometric BIdimensional Spectrometer (IBIS) at multiple wavelengths within the Ca II 854.2 nm line and over several quiet areas. We analyze both the morphological properties derived from narrow-band monochromatic images and the average spectral properties of distinct solar features such as network points, internetwork areas and fibrils. Results: The spectral properties derived over quiet-Sun targets are in full agreement with earlier results obtained with fixed-slit spectrographic observations, highlighting the reliability of the spectral information obtained with IBIS. Furthermore, the very narrowband IBIS imaging reveals with much clarity the dual nature of the Ca II 854.2 nm line: its outer wings gradually sample the solar photosphere, while the core is a purely chromospheric indicator. The latter displays a wealth of fine structures including bright points, akin to the Ca II H2V and K2V grains, as well as fibrils originating from even the smallest magnetic elements. The fibrils occupy a large fraction of the observed field of view even in the quiet regions, and clearly outline atmospheric volumes with different dynamical properties, strongly dependent on the local magnetic topology. This highlights the fact that 1-D models stratified along the vertical direction can provide only a very limited representation of the actual chromospheric physics.
astro-ph
abridged aims in this paper we seek to establish the suitability of imaging spectroscopy performed in the ca ii 8542 nm line as a means to investigate the solar chromosphere at high resolution methods we utilize monochromatic images obtained with the interferometric bidimensional spectrometer ibis at multiple wavelengths within the ca ii 8542 nm line and over several quiet areas we analyze both the morphological properties derived from narrowband monochromatic images and the average spectral properties of distinct solar features such as network points internetwork areas and fibrils results the spectral properties derived over quietsun targets are in full agreement with earlier results obtained with fixedslit spectrographic observations highlighting the reliability of the spectral information obtained with ibis furthermore the very narrowband ibis imaging reveals with much clarity the dual nature of the ca ii 8542 nm line its outer wings gradually sample the solar photosphere while the core is a purely chromospheric indicator the latter displays a wealth of fine structures including bright points akin to the ca ii h2v and k2v grains as well as fibrils originating from even the smallest magnetic elements the fibrils occupy a large fraction of the observed field of view even in the quiet regions and clearly outline atmospheric volumes with different dynamical properties strongly dependent on the local magnetic topology this highlights the fact that 1d models stratified along the vertical direction can provide only a very limited representation of the actual chromospheric physics
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709.2418
The theoretical DFT study of electronic structure of thin Si/SiO2 quantum nanodots and nanowires
The atomic and electronic structure of a set of proposed thin (1.6 nm in diameter) silicon/silica quantum nanodots and nanowires with narrow interface, as well as parent metastable silicon structures (1.2 nm in diameter), was studied in cluster and PBC approaches using B3LYP/6-31G* and PW PP LDA approximations. The total density of states (TDOS) of the smallest quasispherical silicon quantum dot (Si85) corresponds well to the TDOS of the bulk silicon. The elongated silicon nanodots and 1D nanowires demonstrate the metallic nature of the electronic structure. The surface oxidized layer opens the bandgap in the TDOS of the Si/SiO2 species. The top of the valence band and the bottom of conductivity band of the particles are formed by the silicon core derived states. The energy width of the bandgap is determined by the length of the Si/SiO2 clusters and demonstrates inverse dependence upon the size of the nanostructures. The theoretical data describes the size confinement effect in photoluminescence spectra of the silica embedded nanocrystalline silicon with high accuracy.
cond-mat.mtrl-sci
the atomic and electronic structure of a set of proposed thin 16 nm in diameter siliconsilica quantum nanodots and nanowires with narrow interface as well as parent metastable silicon structures 12 nm in diameter was studied in cluster and pbc approaches using b3lyp631g and pw pp lda approximations the total density of states tdos of the smallest quasispherical silicon quantum dot si85 corresponds well to the tdos of the bulk silicon the elongated silicon nanodots and 1d nanowires demonstrate the metallic nature of the electronic structure the surface oxidized layer opens the bandgap in the tdos of the sisio2 species the top of the valence band and the bottom of conductivity band of the particles are formed by the silicon core derived states the energy width of the bandgap is determined by the length of the sisio2 clusters and demonstrates inverse dependence upon the size of the nanostructures the theoretical data describes the size confinement effect in photoluminescence spectra of the silica embedded nanocrystalline silicon with high accuracy
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709.2419
Gravitational Higgs Mechanism with a Topological Term
We investigate the Higgs mechanism for gravity, which has been recently put forward by 't Hooft, when the Polyakov-type action for scalar fields is added to the original action. We find that from the Polyakov-type action, it is very natural to derive an 'alternative' metric tensor composed of the scalar fields. The positivity condition on the determinant can be also derived easily by requiring that this term does not change the dynamics at all and becomes a topological number, that is, the wrapping number. It turns out that the gauge conditions adopted by 't Hooft are nothing but the restriction on a sector with unit wrapping number.
hep-th
we investigate the higgs mechanism for gravity which has been recently put forward by t hooft when the polyakovtype action for scalar fields is added to the original action we find that from the polyakovtype action it is very natural to derive an alternative metric tensor composed of the scalar fields the positivity condition on the determinant can be also derived easily by requiring that this term does not change the dynamics at all and becomes a topological number that is the wrapping number it turns out that the gauge conditions adopted by t hooft are nothing but the restriction on a sector with unit wrapping number
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709.242
Gamete recognition and complementary haplotypes in sexual Penna ageing model
In simulations of sexual reproduction with diploid individuals, we introduce that female haploid gametes recognize one specific allele of the genomes as a marker of the male haploid gametes. They fuse to zygotes preferrably with male gametes having a different marker than their own. This gamete recognition enhances the advantage of complementary bit-strings in the simulated diploid individuals, at low recombination rates. Thus with rare recombinations the bit-string evolve to be complementary; with recombination rate above about 0.1 instead they evolve under Darwinian purification selection, with few bits mutated.
q-bio.PE
in simulations of sexual reproduction with diploid individuals we introduce that female haploid gametes recognize one specific allele of the genomes as a marker of the male haploid gametes they fuse to zygotes preferrably with male gametes having a different marker than their own this gamete recognition enhances the advantage of complementary bitstrings in the simulated diploid individuals at low recombination rates thus with rare recombinations the bitstring evolve to be complementary with recombination rate above about 01 instead they evolve under darwinian purification selection with few bits mutated
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709.2421
The Araucaria Project. Near-Infrared Photometry of Cepheid Variables in the Sculptor Galaxy NGC 55
We have obtained deep images in the near-infrared J and K filters of four fields in the Sculptor Group spiral galaxy NGC 55 with the ESO VLT and ISAAC camera. For 40 long-period Cepheid variables in these fields which were recently discovered by Pietrzy{\'n}ski et al., we have determined mean J and K magnitudes from observations at two epochs, and derived distance moduli from the observed PL relations in these bands. Using these values together with the previously measured distance moduli in the optical V and I bands, we have determined a total mean reddening of the NGC 55 Cepheids of E(B-V)=0.127 $\pm$ 0.019 mag, which is mostly produced inside NGC 55 itself. For the true distance modulus of the galaxy, our multiwavelength analysis yields a value of 26.434 $\pm$ 0.037 mag (random error), corresponding to a distance of 1.94 $\pm$ 0.03 Mpc. This value is tied to an adopted true LMC distance modulus of 18.50 mag. The systematic uncertainty of our derived Cepheid distance to NGC 55 (apart from the uncertainty on the adopted LMC distance) is $\pm$4%, with the main contribution likely to come from the effect of blending of some of the Cepheids with unresolved companion stars. The distance of NGC 55 derived from our multiwavelength Cepheid analysis agrees within the errors with the distance of NGC 300, strengthening the case for a physical association of these two Sculptor Group galaxies.
astro-ph
we have obtained deep images in the nearinfrared j and k filters of four fields in the sculptor group spiral galaxy ngc 55 with the eso vlt and isaac camera for 40 longperiod cepheid variables in these fields which were recently discovered by pietrzynski et al we have determined mean j and k magnitudes from observations at two epochs and derived distance moduli from the observed pl relations in these bands using these values together with the previously measured distance moduli in the optical v and i bands we have determined a total mean reddening of the ngc 55 cepheids of ebv0127 pm 0019 mag which is mostly produced inside ngc 55 itself for the true distance modulus of the galaxy our multiwavelength analysis yields a value of 26434 pm 0037 mag random error corresponding to a distance of 194 pm 003 mpc this value is tied to an adopted true lmc distance modulus of 1850 mag the systematic uncertainty of our derived cepheid distance to ngc 55 apart from the uncertainty on the adopted lmc distance is pm4 with the main contribution likely to come from the effect of blending of some of the cepheids with unresolved companion stars the distance of ngc 55 derived from our multiwavelength cepheid analysis agrees within the errors with the distance of ngc 300 strengthening the case for a physical association of these two sculptor group galaxies
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709.2422
Characterization of the Core-Shell Nanoparticles Formed as Soluble Hydrogen-Bonding Interpolymer Complexes at low pH
The formation of soluble hydrogen-bonding interpolymer complexes between poly(acrylic acid) (PAA) and poly(acrylic acid-co-2-acrylamido-2-methyl-1-propane sulfonic acid)-graft-poly(N, N dimethylacrylamide) (P(AA-co-AMPSA)-g-PDMAM) at pH = 2.0 was studied. A viscometric study showed that in semidilute solution a physical gel is formed, due to the interconnection of the anionic P(AA-co-AMPSA) backbone of the graft copolymer, in a transient network, by means of the complexes formed between the PDMAM side chains of the graft copolymer and PAA. Dynamic and static light scattering measurements, in conjunction with small angle neutron scattering measurements, suggest the formation of core-shell colloidal nanoparticles in dilute solution, comprised by an insoluble PAA/PDMAM core surrounded by an anionic P(AA-co-AMPSA) corona. Even if larger clusters are formed in semidilute solution, the size of the insoluble core remains practically stable. Atomic force microscopy performed under ambient conditions, reveal that the particles collapse and flatten upon deposition on a substrate, with dimensions close to the ones of the dry hydrophobic core.
cond-mat.soft
the formation of soluble hydrogenbonding interpolymer complexes between polyacrylic acid paa and polyacrylic acidco2acrylamido2methyl1propane sulfonic acidgraftpolyn n dimethylacrylamide paacoampsagpdmam at ph 20 was studied a viscometric study showed that in semidilute solution a physical gel is formed due to the interconnection of the anionic paacoampsa backbone of the graft copolymer in a transient network by means of the complexes formed between the pdmam side chains of the graft copolymer and paa dynamic and static light scattering measurements in conjunction with small angle neutron scattering measurements suggest the formation of coreshell colloidal nanoparticles in dilute solution comprised by an insoluble paapdmam core surrounded by an anionic paacoampsa corona even if larger clusters are formed in semidilute solution the size of the insoluble core remains practically stable atomic force microscopy performed under ambient conditions reveal that the particles collapse and flatten upon deposition on a substrate with dimensions close to the ones of the dry hydrophobic core
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709.2423
Effectiveness of Measures of Performance During Speculative Bubbles
Statistical analysis of financial data most focused on testing the validity of Brownian motion (Bm). Analysis performed on several time series have shown deviation from the Bm hypothesis, that is at the base of the evaluation of many financial derivatives. We inquiry in the behavior of measures of performance based on maximum drawdown movements (MDD), testing their stability when the underlying process deviates from the Bm hypothesis. In particular we consider the fractional Brownian motion (fBm), and fluctuations estimated empirically on raw market data. The case study of the rising part of speculative bubbles is reported.
q-fin.ST physics.data-an physics.soc-ph
statistical analysis of financial data most focused on testing the validity of brownian motion bm analysis performed on several time series have shown deviation from the bm hypothesis that is at the base of the evaluation of many financial derivatives we inquiry in the behavior of measures of performance based on maximum drawdown movements mdd testing their stability when the underlying process deviates from the bm hypothesis in particular we consider the fractional brownian motion fbm and fluctuations estimated empirically on raw market data the case study of the rising part of speculative bubbles is reported
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709.2424
Quantum path interference in the wavelength dependence of high-harmonic generation
We investigate the dependence of the intensity of radiation due to high-harmonic generation (HHG) as a function of the wavelength of the fundamental driver field. Superimposed on a smooth power-law dependence observed previously we find surprisingly strong and rapid fluctuations on a fine wavelength scale. We identify the origin of these fluctuations in terms of quantum path interferences with up to five returning orbits significantly contributing.
physics.atom-ph physics.optics
we investigate the dependence of the intensity of radiation due to highharmonic generation hhg as a function of the wavelength of the fundamental driver field superimposed on a smooth powerlaw dependence observed previously we find surprisingly strong and rapid fluctuations on a fine wavelength scale we identify the origin of these fluctuations in terms of quantum path interferences with up to five returning orbits significantly contributing
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709.2425
Detection of acceleration radiation in a Bose-Einstein condensate
We propose and study methods for detecting the Unruh effect in a Bose-Einstein condensate. The Bogoliubov vacuum of a Bose-Einstein condensate is used here to simulate a scalar field-theory, and accelerated atom dots or optical lattices as means for detecting phonon radiation due to acceleration effects. We study Unruh's effect for linear acceleration and circular acceleration. In particular, we study the dispersive effects of the Bogoliubov spectrum on the ideal case of exact thermalization. Our results suggest that Unruh's acceleration radiation can be tested using current accessible experimental methods.
quant-ph
we propose and study methods for detecting the unruh effect in a boseeinstein condensate the bogoliubov vacuum of a boseeinstein condensate is used here to simulate a scalar fieldtheory and accelerated atom dots or optical lattices as means for detecting phonon radiation due to acceleration effects we study unruhs effect for linear acceleration and circular acceleration in particular we study the dispersive effects of the bogoliubov spectrum on the ideal case of exact thermalization our results suggest that unruhs acceleration radiation can be tested using current accessible experimental methods
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709.2426
A realistic interpretation of quantum mechanics. Asymmetric random walks in a discrete spacetime
In this paper, I propose a realistic interpretation (RI) of quantum mechanics, that is, an interpretation according to which a particle follows a definite path in spacetime. The path is not deterministic but it is rather a random walk. However, the probability of each step of the walk is found to depend from some average properties of the particle that can be interpreted as its propensity to have a certain macroscopic momentum and energy. The proposed interpretation requires spacetime to be discrete. Prediction of standard quantum mechanics coincide with predictions of large ensembles of particles in the RI.
nlin.CG
in this paper i propose a realistic interpretation ri of quantum mechanics that is an interpretation according to which a particle follows a definite path in spacetime the path is not deterministic but it is rather a random walk however the probability of each step of the walk is found to depend from some average properties of the particle that can be interpreted as its propensity to have a certain macroscopic momentum and energy the proposed interpretation requires spacetime to be discrete prediction of standard quantum mechanics coincide with predictions of large ensembles of particles in the ri
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709.2427
The Mid-Infrared Spectral Energy Distribution, Surface Brightness and Color Profiles in Elliptical Galaxies
We describe photometry at mid-infrared passbands (1.2 - 24 microns) for a sample of 18 elliptical galaxies. All surface brightness distributions resemble de Vaucouleurs profiles, indicating that most of the emission arises from the photospheres or circumstellar regions of red giant stars. The spectral energy distribution peaks near 1.6 microns, but the half-light or effective radius has a pronounced minimum near the K band (2.15 microns). Apart from the 24 micron passband, all sample-averaged radial color profiles have measurable slopes within about twice the (K band) effective radius. Evidently this variation arises because of an increase in stellar metallicity toward the galactic cores. For example, the sampled-averaged color profile (K - 5.8 microns) has a positive slope although no obvious absorption feature is observed in spectra of elliptical galaxies near 5.8 microns. This, and the minimum in the effective radius, suggests that the K band may be anomalously luminous in metal-rich stars in galaxy cores. Unusual radial color profiles involving the 24 micron passband may suggest that some 24 micron emission comes from interstellar not circumstellar dust grains.
astro-ph
we describe photometry at midinfrared passbands 12 24 microns for a sample of 18 elliptical galaxies all surface brightness distributions resemble de vaucouleurs profiles indicating that most of the emission arises from the photospheres or circumstellar regions of red giant stars the spectral energy distribution peaks near 16 microns but the halflight or effective radius has a pronounced minimum near the k band 215 microns apart from the 24 micron passband all sampleaveraged radial color profiles have measurable slopes within about twice the k band effective radius evidently this variation arises because of an increase in stellar metallicity toward the galactic cores for example the sampledaveraged color profile k 58 microns has a positive slope although no obvious absorption feature is observed in spectra of elliptical galaxies near 58 microns this and the minimum in the effective radius suggests that the k band may be anomalously luminous in metalrich stars in galaxy cores unusual radial color profiles involving the 24 micron passband may suggest that some 24 micron emission comes from interstellar not circumstellar dust grains
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709.2428
A Proposal for a Cryogenic Experiment to Measure the Neutron Electric Dipole Moment (nEDM)
This document is a copy of the original 2003 proposal for the construction grant for the CryoEDM Experiment at ILL, Grenoble. It is here made publicly available as a technical reference source for interested parties. It does not necessarily represent the final configuration of the experiment. Items pertaining to costs, personnel etc. have been removed.
hep-ex
this document is a copy of the original 2003 proposal for the construction grant for the cryoedm experiment at ill grenoble it is here made publicly available as a technical reference source for interested parties it does not necessarily represent the final configuration of the experiment items pertaining to costs personnel etc have been removed
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709.2429
A Universal Property of the Groups Spin^c and Mp^c
It is well known that spinors on oriented Riemannian manifolds cannot be defined as sections of a vector bundle associated with the frame bundle. For this reason spin and spin^c structures are often introduced. In this paper we prove that spin^c structures have a universal property among all other structures that enable the construction of spinor bundles. We proceed to prove a similar result for metaplectic^c structures on symplectic manifolds.
math.DG
it is well known that spinors on oriented riemannian manifolds cannot be defined as sections of a vector bundle associated with the frame bundle for this reason spin and spinc structures are often introduced in this paper we prove that spinc structures have a universal property among all other structures that enable the construction of spinor bundles we proceed to prove a similar result for metaplecticc structures on symplectic manifolds
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709.243
Singular manifolds, topology change and the dynamics of compactification
We investigate the dynamics of the geometric transitions associated to compactified spacetimes. By including the dynamics of gravity we are able to follow the evolution of collapsing cycles as they attempt to undergo a topology changing transition. Rather than achieving this singular geometry we find that one of two scenarios occur, depending on the initial conditions. Either a horizon forms, shielding a curvature singularity, or the cycle re-expands after an initial contraction phase. For the case where a horizon forms we identify the final state with a known analytic black-hole solution. We also show use our results to demonstate a novel compactification mechanism, owing to the asymptotic structure of this black-hole solution.
hep-th
we investigate the dynamics of the geometric transitions associated to compactified spacetimes by including the dynamics of gravity we are able to follow the evolution of collapsing cycles as they attempt to undergo a topology changing transition rather than achieving this singular geometry we find that one of two scenarios occur depending on the initial conditions either a horizon forms shielding a curvature singularity or the cycle reexpands after an initial contraction phase for the case where a horizon forms we identify the final state with a known analytic blackhole solution we also show use our results to demonstate a novel compactification mechanism owing to the asymptotic structure of this blackhole solution
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709.2431
$\Delta L=2$ hyperon semileptonic decays
We compute the rates of semileptonic B_A \to B_Bl^-l^- (l=e or \mu) hyperon transitions in a model where intermediate states involve loops of baryons and a Majorana neutrino. These rates turn out to be well below present experimental bounds and other theoretical estimates. From the experimental upper limit on the \Xi^- \to p\mu^-\mu^- decay, we derive the bound <m_{\mu \mu}> < 22 TeV for the effective Majorana mass of the muon neutrino. Also, an estimate of background contributions for these decays due to the allowed B_A \to B_Bl^-l^-\bar{\nu}\bar{\nu} decays are provided.
hep-ph
we compute the rates of semileptonic b_a to b_bll le or mu hyperon transitions in a model where intermediate states involve loops of baryons and a majorana neutrino these rates turn out to be well below present experimental bounds and other theoretical estimates from the experimental upper limit on the xi to pmumu decay we derive the bound m_mu mu 22 tev for the effective majorana mass of the muon neutrino also an estimate of background contributions for these decays due to the allowed b_a to b_bllbarnubarnu decays are provided
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709.2432
Morphological Studies of the PWN Candidate HESS J1809-193
The source HESS J1809-193 was discovered in 2006 in data of the Galactic Plane survey, followed by several re-observations. It shows a hard gamma-ray spectrum and the emission is clearly extended. Its vicinity to PSR J1809-1917, a high spin-down luminosity pulsar powerful enough to drive the observed gamma-ray emission, makes it a plausible candidate for a TeV Pulsar Wind Nebula (PWN). On the other hand, in this region of the sky a number of faint, radio-emitting supernova remnants can be found, making a firm conclusion on the source type difficult. Here we present a detailed morphological study of recent H.E.S.S. data and compare the result with X-ray measurements taken with Chandra and radio data. The association with a PWN is likely, but contributions from supernova remnants cannot be ruled out.
astro-ph
the source hess j1809193 was discovered in 2006 in data of the galactic plane survey followed by several reobservations it shows a hard gammaray spectrum and the emission is clearly extended its vicinity to psr j18091917 a high spindown luminosity pulsar powerful enough to drive the observed gammaray emission makes it a plausible candidate for a tev pulsar wind nebula pwn on the other hand in this region of the sky a number of faint radioemitting supernova remnants can be found making a firm conclusion on the source type difficult here we present a detailed morphological study of recent hess data and compare the result with xray measurements taken with chandra and radio data the association with a pwn is likely but contributions from supernova remnants cannot be ruled out
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709.2433
Toward explaining black hole entropy quantization in loop quantum gravity
In a remarkable numerical analysis of the spectrum of states for a spherically symmetric black hole in loop quantum gravity, Corichi, Diaz-Polo and Fernandez-Borja found that the entropy of the black hole horizon increases in what resembles discrete steps as a function of area. In the present article we reformulate the combinatorial problem of counting horizon states in terms of paths through a certain space. This formulation sheds some light on the origins of this step-like behavior of the entropy. In particular, using a few extra assumptions we arrive at a formula that reproduces the observed step-length to a few tenths of a percent accuracy. However, in our reformulation the periodicity ultimately arises as a property of some complicated process, the properties of which, in turn, depend on the properties of the area spectrum in loop quantum gravity in a rather opaque way. Thus, in some sense, a deep explanation of the observed periodicity is still lacking.
gr-qc hep-th math-ph math.MP
in a remarkable numerical analysis of the spectrum of states for a spherically symmetric black hole in loop quantum gravity corichi diazpolo and fernandezborja found that the entropy of the black hole horizon increases in what resembles discrete steps as a function of area in the present article we reformulate the combinatorial problem of counting horizon states in terms of paths through a certain space this formulation sheds some light on the origins of this steplike behavior of the entropy in particular using a few extra assumptions we arrive at a formula that reproduces the observed steplength to a few tenths of a percent accuracy however in our reformulation the periodicity ultimately arises as a property of some complicated process the properties of which in turn depend on the properties of the area spectrum in loop quantum gravity in a rather opaque way thus in some sense a deep explanation of the observed periodicity is still lacking
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709.2434
A new weak approximation scheme of stochastic differential equations and the Runge-Kutta method
In this paper, authors successfully construct a new algorithm for the new higher order scheme of weak approximation of SDEs. The algorithm presented here is based on [1][2]. Although this algorithm shares some features with the algorithm presented by [3], algorithms themselves are completely different and the diversity is not trivial. They apply this new algorithm to the problem of pricing Asian options under the Heston stochastic volatility model and obtain encouraging results. [1] Shigeo Kusuoka, "Approximation of Expectation of Diffusion Process and Mathematical Finance," Advanced Studies in Pure Mathematics, Proceedings of Final Taniguchi Symposium, Nara 1998 (T. Sunada, ed.), vol. 31 2001, pp. 147--165. [2] Terry Lyons and Nicolas Victoir, "Cubature on Wiener Space," Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 460 (2004), pp. 169--198. [3] Syoiti Ninomiya, Nicolas Victoir, "Weak approximation of stochastic differential equations and application to derivative pricing," Applied Mathematical Finance, Volume 15, Issue 2 April 2008, pages 107--121
math.PR math.CV
in this paper authors successfully construct a new algorithm for the new higher order scheme of weak approximation of sdes the algorithm presented here is based on 12 although this algorithm shares some features with the algorithm presented by 3 algorithms themselves are completely different and the diversity is not trivial they apply this new algorithm to the problem of pricing asian options under the heston stochastic volatility model and obtain encouraging results 1 shigeo kusuoka approximation of expectation of diffusion process and mathematical finance advanced studies in pure mathematics proceedings of final taniguchi symposium nara 1998 t sunada ed vol 31 2001 pp 147165 2 terry lyons and nicolas victoir cubature on wiener space proceedings of the royal society of london series a mathematical and physical sciences 460 2004 pp 169198 3 syoiti ninomiya nicolas victoir weak approximation of stochastic differential equations and application to derivative pricing applied mathematical finance volume 15 issue 2 april 2008 pages 107121
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