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706.1814
Study of the structural changes in the Popocatepetl volcano in Mexico related to microseismicity by applying the lineament analysis to the Aster (Terra) satellite data
Mexico is one of the most volcanically active regions in North America. Volcanic activity in central Mexico is associated with the subduction of the Cocos and Rivera plates beneath the North American plate. Periods of enhanced microseismic activity, associated with the volcanic activity of the Popocatepetl volcano is compared with periods, during which the microseismic activity was low. We detected systematical changes in the number of lineaments, associated with the microseismic activity due to lineament analysis of a temporal sequence of high resolution satellite images of the Popocatepetl volcano, provided by the ASTER/VNIR instrument. The Lineament Extraction and Stripes Statistic Analysis (LESSA) software package was used for the lineament extraction. In the future it would allow develop a methodology for detection of possible elevation of pressure in volcano edifice.
physics.geo-ph
mexico is one of the most volcanically active regions in north america volcanic activity in central mexico is associated with the subduction of the cocos and rivera plates beneath the north american plate periods of enhanced microseismic activity associated with the volcanic activity of the popocatepetl volcano is compared with periods during which the microseismic activity was low we detected systematical changes in the number of lineaments associated with the microseismic activity due to lineament analysis of a temporal sequence of high resolution satellite images of the popocatepetl volcano provided by the astervnir instrument the lineament extraction and stripes statistic analysis lessa software package was used for the lineament extraction in the future it would allow develop a methodology for detection of possible elevation of pressure in volcano edifice
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706.1815
Entanglement measures and approximate quantum error correction
It is shown that, if the loss of entanglement along a quantum channel is sufficiently small, then approximate quantum error correction is possible, thereby generalizing what happens for coherent information. Explicit bounds are obtained for the entanglement of formation and the distillable entanglement, and their validity naturally extends to other bipartite entanglement measures in between. Robustness of derived criteria is analyzed and their tightness compared. Finally, as a byproduct, we prove a bound quantifying how large the gap between entanglement of formation and distillable entanglement can be for any given finite dimensional bipartite system, thus providing a sufficient condition for distillability in terms of entanglement of formation.
quant-ph
it is shown that if the loss of entanglement along a quantum channel is sufficiently small then approximate quantum error correction is possible thereby generalizing what happens for coherent information explicit bounds are obtained for the entanglement of formation and the distillable entanglement and their validity naturally extends to other bipartite entanglement measures in between robustness of derived criteria is analyzed and their tightness compared finally as a byproduct we prove a bound quantifying how large the gap between entanglement of formation and distillable entanglement can be for any given finite dimensional bipartite system thus providing a sufficient condition for distillability in terms of entanglement of formation
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706.1816
Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence
Relativistic many-body perturbation theory is applied to study properties of ions of the francium isoelectronic sequence. Specifically, energies of the 7s, 7p, 6d, and 5f states of Fr-like ions with nuclear charges Z = 87 - 100 are calculated through third order; reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for 7s - 7p, 7p - 6d, and 6d - 5f electric-dipole transitions; and 7s - 6d, 7s - 5f, and 5f_5/2 - 5f_7/2 multipole matrix elements are evaluated to obtain the lifetimes of low-lying excited states. Moreover, for the ions Z = 87 - 92 calculations are also carried out using the relativistic all-order single-double method, in which single and double excitations of Dirac-Fock wave functions are included to all orders in perturbation theory. With the aid of the SD wave functions, we obtain accurate values of energies, transition rates, oscillator strengths, and the lifetimes of these six ions. Ground state scalar polarizabilities in Fr I, Ra II, Ac III, and Th IV are calculated using relativistic third-order and all-order methods. Ground state scalar polarizabilities for other Fr-like ions are calculated using a relativistic second-order method. These calculations provide a theoretical benchmark for comparison with experiment and theory.
physics.atom-ph
relativistic manybody perturbation theory is applied to study properties of ions of the francium isoelectronic sequence specifically energies of the 7s 7p 6d and 5f states of frlike ions with nuclear charges z 87 100 are calculated through third order reduced matrix elements oscillator strengths transition rates and lifetimes are determined for 7s 7p 7p 6d and 6d 5f electricdipole transitions and 7s 6d 7s 5f and 5f_52 5f_72 multipole matrix elements are evaluated to obtain the lifetimes of lowlying excited states moreover for the ions z 87 92 calculations are also carried out using the relativistic allorder singledouble method in which single and double excitations of diracfock wave functions are included to all orders in perturbation theory with the aid of the sd wave functions we obtain accurate values of energies transition rates oscillator strengths and the lifetimes of these six ions ground state scalar polarizabilities in fr i ra ii ac iii and th iv are calculated using relativistic thirdorder and allorder methods ground state scalar polarizabilities for other frlike ions are calculated using a relativistic secondorder method these calculations provide a theoretical benchmark for comparison with experiment and theory
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706.1817
Characters of representations of affine Kac-Moody Lie algebras at the critical level
We present an explicit character formula for the irreducible highest weight representations of the non-twisted affine Kac-Moody Lie algebra at the critical level which are integrable over the corresponding finite-dimensional simple Lie algebra.
math.QA math.RT
we present an explicit character formula for the irreducible highest weight representations of the nontwisted affine kacmoody lie algebra at the critical level which are integrable over the corresponding finitedimensional simple lie algebra
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706.1818
Ultra-relativistic geometrical shock dynamics and vorticity
Geometrical shock dynamics, also called CCW theory, yields approximate equations for shock propagation in which only the conditions at the shock appear explicitly; the post-shock flow is presumed approximately uniform and enters implicitly via a Riemann invariant. The nonrelativistic theory, formulated by G. B. Whitham and others, matches many experimental results surprisingly well. Motivated by astrophysical applications, we adapt the theory to ultra-relativistic shocks advancing into an ideal fluid whose pressure is negligible ahead of the shock, but one third of its proper energy density behind the shock. Exact results are recovered for some self-similar cylindrical and spherical shocks with power-law pre-shock density profiles. Comparison is made with numerical solutions of the full hydrodynamic equations. We review relativistic vorticity and circulation. In an ultrarelativistic ideal fluid, circulation can be defined so that it changes only at shocks, notwithstanding entropy gradients in smooth parts of the flow.
astro-ph
geometrical shock dynamics also called ccw theory yields approximate equations for shock propagation in which only the conditions at the shock appear explicitly the postshock flow is presumed approximately uniform and enters implicitly via a riemann invariant the nonrelativistic theory formulated by g b whitham and others matches many experimental results surprisingly well motivated by astrophysical applications we adapt the theory to ultrarelativistic shocks advancing into an ideal fluid whose pressure is negligible ahead of the shock but one third of its proper energy density behind the shock exact results are recovered for some selfsimilar cylindrical and spherical shocks with powerlaw preshock density profiles comparison is made with numerical solutions of the full hydrodynamic equations we review relativistic vorticity and circulation in an ultrarelativistic ideal fluid circulation can be defined so that it changes only at shocks notwithstanding entropy gradients in smooth parts of the flow
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706.1819
Production of magnetic energy by macroscopic turbulence in GRB afterglows
Afterglows of gamma-ray bursts are believed to require magnetic fields much stronger than that of the compressed pre-shock medium. As an alternative to microscopic plasma instabilities, we propose amplification of the field by macroscopic turbulence excited by the interaction of the shock with a clumpy pre-shock medium, for example a stellar wind. Using a recently developed formalism for localized perturbations to an ultra-relativistic shock, we derive constraints on the lengthscale, amplitude, and volume filling factor of density clumps required to produce a given magnetic energy fraction within the expansion time of the shock, assuming that the energy in the field achieves equipartion with the turbulence. Stronger and smaller-scale inhomogeneities are required for larger shock Lorentz factors. Hence it is likely that the magnetic energy fraction evolves as the shock slows. This could be detected by monitoring the synchrotron cooling frequency if the radial density profile ahead of the shock, smoothed over clumps, is known.
astro-ph
afterglows of gammaray bursts are believed to require magnetic fields much stronger than that of the compressed preshock medium as an alternative to microscopic plasma instabilities we propose amplification of the field by macroscopic turbulence excited by the interaction of the shock with a clumpy preshock medium for example a stellar wind using a recently developed formalism for localized perturbations to an ultrarelativistic shock we derive constraints on the lengthscale amplitude and volume filling factor of density clumps required to produce a given magnetic energy fraction within the expansion time of the shock assuming that the energy in the field achieves equipartion with the turbulence stronger and smallerscale inhomogeneities are required for larger shock lorentz factors hence it is likely that the magnetic energy fraction evolves as the shock slows this could be detected by monitoring the synchrotron cooling frequency if the radial density profile ahead of the shock smoothed over clumps is known
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706.182
The Pseudo-Newtonian Force and Potential about a Higher Dimensional Rotating Black Hole
In this paper, we study the behavior of the pseudo-Newtonian force and potential about a higher dimensional rotating black hole. We obtain conditions for the force character from an attractive to repulsive. We also find the conditions under which force attains a maximum value. The results of this paper generalizes the already found structure of force and potential about a five dimensional rotating black hole. It is interesting to note that we recover the five dimensional results under a special case.
gr-qc
in this paper we study the behavior of the pseudonewtonian force and potential about a higher dimensional rotating black hole we obtain conditions for the force character from an attractive to repulsive we also find the conditions under which force attains a maximum value the results of this paper generalizes the already found structure of force and potential about a five dimensional rotating black hole it is interesting to note that we recover the five dimensional results under a special case
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706.1821
Holographic storage of multiple coherence gratings in a Bose-Einstein condensate
We demonstrate superradiant conversion between a two-mode collective atomic state and a single-mode light field in an elongated cloud of Bose-condensed atoms. Two off-resonant write beams induce superradiant Raman scattering, producing two independent coherence gratings with a different wave vector in the cloud. By applying phase-matched read beams after a controllable delay, the gratings can be selectively converted into the light field also in a superradiant way. Due to the large cooperativity parameter and the small velocity width of the condensate, a high conversion efficiency of $> 70$ % and a long storage time of $> 120$ $\mu$s were achieved.
physics.atom-ph
we demonstrate superradiant conversion between a twomode collective atomic state and a singlemode light field in an elongated cloud of bosecondensed atoms two offresonant write beams induce superradiant raman scattering producing two independent coherence gratings with a different wave vector in the cloud by applying phasematched read beams after a controllable delay the gratings can be selectively converted into the light field also in a superradiant way due to the large cooperativity parameter and the small velocity width of the condensate a high conversion efficiency of 70 and a long storage time of 120 mus were achieved
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706.1822
Comments on Controllable Three-Dimensional Brownian Motors
Upon reviewing the physical review letter which describes the processes involved in "demonstration of a controllable three-dimensional Brownian motor in symmetric potentials" we conclude that such processes are not compatible with what Einstein and many other physicists and engineers define as Brownian motors or Brownian movements.
quant-ph
upon reviewing the physical review letter which describes the processes involved in demonstration of a controllable threedimensional brownian motor in symmetric potentials we conclude that such processes are not compatible with what einstein and many other physicists and engineers define as brownian motors or brownian movements
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706.1823
On the scalar nonet in the extended Nambu Jona-Lasinio model
We discuss the lightest scalar resonances, $f_0(600)$, $\kappa(800)$, $a_0(980)$ and $f_0(980)$ in the extended Nambu Jona-Lasinio model. We find that the model parameters can be tuned, but unnaturally, to accommodate for those scalars except the $f_0(980)$. We also discuss problems encountered in the K Matrix unitarization approximation by using $N_c$ counting technique.
hep-ph nucl-th
we discuss the lightest scalar resonances f_0600 kappa800 a_0980 and f_0980 in the extended nambu jonalasinio model we find that the model parameters can be tuned but unnaturally to accommodate for those scalars except the f_0980 we also discuss problems encountered in the k matrix unitarization approximation by using n_c counting technique
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706.1824
TASI Lectures on Astrophysical Aspects of Neutrinos
Neutrino astronomy is on the verge of discovering new sources, and this will lead to important advances in astrophysics, cosmology, particle physics, and nuclear physics. This paper is meant for non-experts, so that they might better understand the basic issues in this field.
astro-ph hep-ph nucl-th
neutrino astronomy is on the verge of discovering new sources and this will lead to important advances in astrophysics cosmology particle physics and nuclear physics this paper is meant for nonexperts so that they might better understand the basic issues in this field
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706.1825
Forbidden territories in the string landscape
Problems of stabilizing moduli of the type--IIB string theory on toroidal orientifolds $\T^6/\Z_2$, in presence of worldvolume fluxes on various D-branes, are considered. For $Z_2$ actions, introducing either O9 or O3 planes, we rule out the possibility of moduli stabilization in a wide class of models with $\mathcal{N}=1$ supersymmetry, characterized by the type of fluxes turned on along D-brane worldvolume. Our results, in particular, imply that Abelian worldvolume fluxes can not by themselves stabilize closed string moduli, in a consistent supersymmtric model, for above orientifold compactifications. We also discuss other $Z_2$ orientifolds of $T^6$ and show that certain other brane wrappings are also ruled out by similar consistency requirements. In specific setups we consider examples with D9-branes wrapping on a complex three-torus with its world-volume fluxes taken to be semi-homogeneous bundles and D7-branes wrapping holomorphic four-cycles of the complex three-torus carrying world-volume fluxes.
hep-th
problems of stabilizing moduli of the typeiib string theory on toroidal orientifolds t6z_2 in presence of worldvolume fluxes on various dbranes are considered for z_2 actions introducing either o9 or o3 planes we rule out the possibility of moduli stabilization in a wide class of models with mathcaln1 supersymmetry characterized by the type of fluxes turned on along dbrane worldvolume our results in particular imply that abelian worldvolume fluxes can not by themselves stabilize closed string moduli in a consistent supersymmtric model for above orientifold compactifications we also discuss other z_2 orientifolds of t6 and show that certain other brane wrappings are also ruled out by similar consistency requirements in specific setups we consider examples with d9branes wrapping on a complex threetorus with its worldvolume fluxes taken to be semihomogeneous bundles and d7branes wrapping holomorphic fourcycles of the complex threetorus carrying worldvolume fluxes
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706.1826
A Family of Exactly-Solvable Driven-Diffusive Systems in One-dimension
We introduce an exactly-solvable family of one-dimensional driven-diffusive systems defined on a discrete lattice. We find the quadratic algebra of this family which has an infinite-dimensional representation. We discuss the phase diagram of the system in a couple of special cases.
cond-mat.stat-mech
we introduce an exactlysolvable family of onedimensional drivendiffusive systems defined on a discrete lattice we find the quadratic algebra of this family which has an infinitedimensional representation we discuss the phase diagram of the system in a couple of special cases
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706.1827
Use of high resolution satellite images for tracking of changes in the lineament structure, caused by earthquakes
Over the last decades strong efforts have been made to apply new spaceborn technologies to the study and possible forecast of strong earthquakes. In this study we use ASTER/TERRA multispectral satellite images for detection and analysis of changes in the system of lineaments previous to a strong earthquake. A lineament is a straight or a somewhat curved feature in an image, which it is possible to detect by a special processing of images based on directional filtering and or Hough transform. "The Lineament Extraction and Stripes Statistic Analysis" (LESSA) software package, developed by Zlatopolsy (1992, 1997). We assume that the lineaments allow to detect, at least partially, the presence ruptures in the Earths crust, and therefore enable one to follow the changes in the system of faults and fractures associated with strong earthquakes. We analysed 6 earthquakes occurred in the Pacific coast of the South America and XXX with the Richter scale magnitude >4.5. They were located in the regions with small seasonal variations and limited vegetation to facilitate the tracking of features associated with the seismic activity only. It was found that the number and orientation of lineaments changed significantly about one month before an earthquake approximately, and a few months later the system returns to its initial state. This effect increases with the earthquake magnitude, and it is much more easily detectable in case of convergent plate boundaries (for example, Nasca and South American plates). The results obtained open a possibility to develop a methodology able to evaluate the seismic risk in the regions with similar geological conditions.
physics.geo-ph
over the last decades strong efforts have been made to apply new spaceborn technologies to the study and possible forecast of strong earthquakes in this study we use asterterra multispectral satellite images for detection and analysis of changes in the system of lineaments previous to a strong earthquake a lineament is a straight or a somewhat curved feature in an image which it is possible to detect by a special processing of images based on directional filtering and or hough transform the lineament extraction and stripes statistic analysis lessa software package developed by zlatopolsy 1992 1997 we assume that the lineaments allow to detect at least partially the presence ruptures in the earths crust and therefore enable one to follow the changes in the system of faults and fractures associated with strong earthquakes we analysed 6 earthquakes occurred in the pacific coast of the south america and xxx with the richter scale magnitude 45 they were located in the regions with small seasonal variations and limited vegetation to facilitate the tracking of features associated with the seismic activity only it was found that the number and orientation of lineaments changed significantly about one month before an earthquake approximately and a few months later the system returns to its initial state this effect increases with the earthquake magnitude and it is much more easily detectable in case of convergent plate boundaries for example nasca and south american plates the results obtained open a possibility to develop a methodology able to evaluate the seismic risk in the regions with similar geological conditions
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706.1828
Chandra Observations of SN 2004et and the X-ray Emission of Type IIp Supernovae
We report the X-ray detection of the Type II-plateau supernova SN 2004et in the spiral galaxy NGC 6946, using the Chandra X-Ray Observatory. The position of the X-ray source was found to agree with the optical position within ~0.4 arcsec. Chandra also surveyed the region before the 2004 event, finding no X-ray emission at the location of the progenitor. For the post-explosion observations, a total of 202, 151, and 158 photons were detected in three pointings, each ~29 ks in length, on 2004 October 22, November 6, and December 3, respectively. The spectrum of the first observation is best fit by a thermal model with a temperature of kT=1.3 keV and a line-of-sight absorption of N_H=1.0 x 10^{22} cm^{-2}. The inferred unabsorbed luminosity (0.4-8 keV) is ~4x10^{38} erg/s, adopting a distance of 5.5 Mpc. A comparison between hard and soft counts on the first and third epochs indicates a softening over this time, although there is an insufficient number of photons to constrain the variation of temperature and absorption by spectral fitting. We model the emission as arising from the reverse shock region in the interaction between the supernova ejecta and the progenitor wind. For a Type IIP supernova with an extended progenitor, the cool shell formed at the time of shock wave breakout from the star can affect the initial evolution of the interaction shell and the absorption of radiation from the reverse shock. The observed spectral softening might be due to decreasing shell absorption. We find a pre-supernova mass loss rate of (2-2.5)x 10^{-6} M_{\odot} /yr for a wind velocity of 10 kms, which is in line with expectations for a Type IIP supernova.
astro-ph
we report the xray detection of the type iiplateau supernova sn 2004et in the spiral galaxy ngc 6946 using the chandra xray observatory the position of the xray source was found to agree with the optical position within 04 arcsec chandra also surveyed the region before the 2004 event finding no xray emission at the location of the progenitor for the postexplosion observations a total of 202 151 and 158 photons were detected in three pointings each 29 ks in length on 2004 october 22 november 6 and december 3 respectively the spectrum of the first observation is best fit by a thermal model with a temperature of kt13 kev and a lineofsight absorption of n_h10 x 1022 cm2 the inferred unabsorbed luminosity 048 kev is 4x1038 ergs adopting a distance of 55 mpc a comparison between hard and soft counts on the first and third epochs indicates a softening over this time although there is an insufficient number of photons to constrain the variation of temperature and absorption by spectral fitting we model the emission as arising from the reverse shock region in the interaction between the supernova ejecta and the progenitor wind for a type iip supernova with an extended progenitor the cool shell formed at the time of shock wave breakout from the star can affect the initial evolution of the interaction shell and the absorption of radiation from the reverse shock the observed spectral softening might be due to decreasing shell absorption we find a presupernova mass loss rate of 225x 106 m_odot yr for a wind velocity of 10 kms which is in line with expectations for a type iip supernova
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706.1829
Neutrino mass in radiatively-broken scale-invariant models
Scale invariance may be a classical symmetry which is broken radiatively. This provides a simple way to stabilize the scale of electroweak symmetry breaking against radiative corrections. The simplest phenomenologically successful model of this type involves the addition of one real scalar field to the standard model. In this minimal model the electroweak Higgs can be interpreted as the pseudo-Goldstone boson of broken scale invariance. We study the possible origin of neutrino mass in such models, both at tree-level and radiatively.
hep-ph
scale invariance may be a classical symmetry which is broken radiatively this provides a simple way to stabilize the scale of electroweak symmetry breaking against radiative corrections the simplest phenomenologically successful model of this type involves the addition of one real scalar field to the standard model in this minimal model the electroweak higgs can be interpreted as the pseudogoldstone boson of broken scale invariance we study the possible origin of neutrino mass in such models both at treelevel and radiatively
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706.183
Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
An exhaustive classification of certain class of static solutions for the five-dimensional Einstein-Gauss-Bonnet theory in vacuum is presented. The class of metrics under consideration is such that the spacelike section is a warped product of the real line with a nontrivial base manifold. It is shown that for generic values of the coupling constants the base manifold must be necessarily of constant curvature, and the solution reduces to the topological extension of the Boulware-Deser metric. It is also shown that the base manifold admits a wider class of geometries for the special case when the Gauss-Bonnet coupling is properly tuned in terms of the cosmological and Newton constants. This freedom in the metric at the boundary, which determines the base manifold, allows the existence of three main branches of geometries in the bulk. For negative cosmological constant, if the boundary metric is such that the base manifold is arbitrary, but fixed, the solution describes black holes whose horizon geometry inherits the metric of the base manifold. If the base manifold possesses a negative constant Ricci scalar, two different kinds of wormholes in vacuum are obtained. For base manifolds with vanishing Ricci scalar, a different class of solutions appears resembling "spacetime horns". There is also a special case for which, if the base manifold is of constant curvature, due to certain class of degeneration of the field equations, the metric admits an arbitrary redshift function. For wormholes and spacetime horns, there are regions for which the gravitational and centrifugal forces point towards the same direction. All these solutions have finite Euclidean action, which reduces to the free energy in the case of black holes, and vanishes in the other cases. Their mass is also obtained from a surface integral.
hep-th gr-qc
an exhaustive classification of certain class of static solutions for the fivedimensional einsteingaussbonnet theory in vacuum is presented the class of metrics under consideration is such that the spacelike section is a warped product of the real line with a nontrivial base manifold it is shown that for generic values of the coupling constants the base manifold must be necessarily of constant curvature and the solution reduces to the topological extension of the boulwaredeser metric it is also shown that the base manifold admits a wider class of geometries for the special case when the gaussbonnet coupling is properly tuned in terms of the cosmological and newton constants this freedom in the metric at the boundary which determines the base manifold allows the existence of three main branches of geometries in the bulk for negative cosmological constant if the boundary metric is such that the base manifold is arbitrary but fixed the solution describes black holes whose horizon geometry inherits the metric of the base manifold if the base manifold possesses a negative constant ricci scalar two different kinds of wormholes in vacuum are obtained for base manifolds with vanishing ricci scalar a different class of solutions appears resembling spacetime horns there is also a special case for which if the base manifold is of constant curvature due to certain class of degeneration of the field equations the metric admits an arbitrary redshift function for wormholes and spacetime horns there are regions for which the gravitational and centrifugal forces point towards the same direction all these solutions have finite euclidean action which reduces to the free energy in the case of black holes and vanishes in the other cases their mass is also obtained from a surface integral
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706.1831
Single quantum dot spectroscopy using a fiber taper waveguide near-field optic
Photoluminescence spectroscopy of single InAs quantum dots at cryogenic temperatures (~14 K) is performed using a micron-scale optical fiber taper waveguide as a near-field optic. The measured collection efficiency of quantum dot spontaneous emission into the fundamental guided mode of the fiber taper is estimated at 0.1%, and spatially-resolved measurements with ~600 nm resolution are obtained by varying the taper position with respect to the sample and using the fiber taper for both the pump and collection channels.
physics.optics cond-mat.mes-hall
photoluminescence spectroscopy of single inas quantum dots at cryogenic temperatures 14 k is performed using a micronscale optical fiber taper waveguide as a nearfield optic the measured collection efficiency of quantum dot spontaneous emission into the fundamental guided mode of the fiber taper is estimated at 01 and spatiallyresolved measurements with 600 nm resolution are obtained by varying the taper position with respect to the sample and using the fiber taper for both the pump and collection channels
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706.1832
Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
We present here our study of the adiabatic quantum dynamics of a random Ising chain across its quantum critical point. The model investigated is an Ising chain in a transverse field with disorder present both in the exchange coupling and in the transverse field. The transverse field term is proportional to a function $\Gamma(t)$ which, as in the Kibble-Zurek mechanism, is linearly reduced to zero in time with a rate $\tau^{-1}$, $\Gamma(t)=-t/\tau$, starting at $t=-\infty$ from the quantum disordered phase ($\Gamma=\infty$) and ending at $t=0$ in the classical ferromagnetic phase ($\Gamma=0$). We first analyze the distribution of the gaps -- occurring at the critical point $\Gamma_c=1$ -- which are relevant for breaking the adiabaticity of the dynamics. We then present extensive numerical simulations for the residual energy $E_{\rm res}$ and density of defects $\rho_k$ at the end of the annealing, as a function of the annealing inverse rate $\tau$. %for different lenghts of the chain. Both the average $E_{\rm res}(\tau)$ and $\rho_k(\tau)$ are found to behave logarithmically for large $\tau$, but with different exponents, $[E_{\rm res}(\tau)/L]_{\rm av}\sim 1/\ln^{\zeta}(\tau)$ with $\zeta\approx 3.4$, and $[\rho_k(\tau)]_{\rm av}\sim 1/\ln^{2}(\tau)$. We propose a mechanism for $1/\ln^2{\tau}$-behavior of $[\rho_k]_{\rm av}$ based on the Landau-Zener tunneling theory and on a Fisher's type real-space renormalization group analysis of the relevant gaps. The model proposed shows therefore a paradigmatic example of how an adiabatic quantum computation can become very slow when disorder is at play, even in absence of any source of frustration.
cond-mat.other quant-ph
we present here our study of the adiabatic quantum dynamics of a random ising chain across its quantum critical point the model investigated is an ising chain in a transverse field with disorder present both in the exchange coupling and in the transverse field the transverse field term is proportional to a function gammat which as in the kibblezurek mechanism is linearly reduced to zero in time with a rate tau1 gammatttau starting at tinfty from the quantum disordered phase gammainfty and ending at t0 in the classical ferromagnetic phase gamma0 we first analyze the distribution of the gaps occurring at the critical point gamma_c1 which are relevant for breaking the adiabaticity of the dynamics we then present extensive numerical simulations for the residual energy e_rm res and density of defects rho_k at the end of the annealing as a function of the annealing inverse rate tau for different lenghts of the chain both the average e_rm restau and rho_ktau are found to behave logarithmically for large tau but with different exponents e_rm restaul_rm avsim 1lnzetatau with zetaapprox 34 and rho_ktau_rm avsim 1ln2tau we propose a mechanism for 1ln2taubehavior of rho_k_rm av based on the landauzener tunneling theory and on a fishers type realspace renormalization group analysis of the relevant gaps the model proposed shows therefore a paradigmatic example of how an adiabatic quantum computation can become very slow when disorder is at play even in absence of any source of frustration
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706.1833
An elementary proof of global existence for nonlinear wave equations in an exterior domain
The aim of this article is to present an elementary proof of a global existence result for nonlinear wave equations satifying the null condition in an exterior domain. The novelty of our proof is to avoid completely the scaling operator which would make the argument complicated in the mixed problem, by using a new weighted pointwise estimates of a tangential derivative to the light cone.
math.AP
the aim of this article is to present an elementary proof of a global existence result for nonlinear wave equations satifying the null condition in an exterior domain the novelty of our proof is to avoid completely the scaling operator which would make the argument complicated in the mixed problem by using a new weighted pointwise estimates of a tangential derivative to the light cone
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706.1834
Near-infrared Study of the Carina Nebula
We have carried out near-infrared (NIR) imaging observations of the Carina Nebula for an area of ~400 sq. arcmin. including the star clusters Trumpler 14 (Tr 14) and Trumpler 16 (Tr 16). With 10 sigma limiting magnitudes of J ~ 18.5, H ~ 17.5 and K_s ~ 16.5, we identified 544 Class II and 11 Class I young star candidates. We find some 40 previously unknown very red sources with H-K_s > 2, most of which remain undetected at the J band. The red NIR sources are found to be concentrated to the south-east of Tr 16, along the `V' shaped dust lane, where the next generation of stars seems to be forming. In addition, we find indications of ongoing star formation near the three MSX point sources, G287.51-0.49, G287.47-0.54, and G287.63-0.72. A handful of red NIR sources are seen to populate around each of these MSX sources. Apart from this, we identified two hard Chandra X-ray sources near G287.47-0.54, one of which does not have an NIR counterpart and may be associated with a Class I/Class 0 object. The majority of the Class II candidates, on the other hand, are seen to be distributed in the directions of the clusters, demarcating different evolutionary stages in this massive star-forming region. A comparison of the color-magnitude diagrams of the clusters with pre-main sequence model tracks shows that the stellar population of these clusters is very young (< 3 Myr). The K_s band luminosity function (KLF) of Tr 14 shows structure at the faint end, including a sharp peak due to the onset of deuterium burning, implying an age of 1-2 Myr for the cluster. The KLF of Tr 16, in contrast, is found to rise smoothly until it turns over. The slopes of the mass functions derived for the clusters are found to be in agreement with the canonical value of the field star initial mass function derived by Salpeter.
astro-ph
we have carried out nearinfrared nir imaging observations of the carina nebula for an area of 400 sq arcmin including the star clusters trumpler 14 tr 14 and trumpler 16 tr 16 with 10 sigma limiting magnitudes of j 185 h 175 and k_s 165 we identified 544 class ii and 11 class i young star candidates we find some 40 previously unknown very red sources with hk_s 2 most of which remain undetected at the j band the red nir sources are found to be concentrated to the southeast of tr 16 along the v shaped dust lane where the next generation of stars seems to be forming in addition we find indications of ongoing star formation near the three msx point sources g28751049 g28747054 and g28763072 a handful of red nir sources are seen to populate around each of these msx sources apart from this we identified two hard chandra xray sources near g28747054 one of which does not have an nir counterpart and may be associated with a class iclass 0 object the majority of the class ii candidates on the other hand are seen to be distributed in the directions of the clusters demarcating different evolutionary stages in this massive starforming region a comparison of the colormagnitude diagrams of the clusters with premain sequence model tracks shows that the stellar population of these clusters is very young 3 myr the k_s band luminosity function klf of tr 14 shows structure at the faint end including a sharp peak due to the onset of deuterium burning implying an age of 12 myr for the cluster the klf of tr 16 in contrast is found to rise smoothly until it turns over the slopes of the mass functions derived for the clusters are found to be in agreement with the canonical value of the field star initial mass function derived by salpeter
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706.1835
General concepts of graphs
A little general abstract combinatorial nonsense delivered in this note is a presentation of some old and basic concepts, central to discrete mathematics, in terms of new words. The treatment is from a structural and systematic point of view. This note consists essentially of definitions and summaries.
math.CT
a little general abstract combinatorial nonsense delivered in this note is a presentation of some old and basic concepts central to discrete mathematics in terms of new words the treatment is from a structural and systematic point of view this note consists essentially of definitions and summaries
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706.1836
Long Memory in Nonlinear Processes
It is generally accepted that many time series of practical interest exhibit strong dependence, i.e., long memory. For such series, the sample autocorrelations decay slowly and log-log periodogram plots indicate a straight-line relationship. This necessitates a class of models for describing such behavior. A popular class of such models is the autoregressive fractionally integrated moving average (ARFIMA) which is a linear process. However, there is also a need for nonlinear long memory models. For example, series of returns on financial assets typically tend to show zero correlation, whereas their squares or absolute values exhibit long memory. Furthermore, the search for a realistic mechanism for generating long memory has led to the development of other nonlinear long memory models. In this chapter, we will present several nonlinear long memory models, and discuss the properties of the models, as well as associated parametric andsemiparametric estimators.
math.ST q-fin.ST stat.TH
it is generally accepted that many time series of practical interest exhibit strong dependence ie long memory for such series the sample autocorrelations decay slowly and loglog periodogram plots indicate a straightline relationship this necessitates a class of models for describing such behavior a popular class of such models is the autoregressive fractionally integrated moving average arfima which is a linear process however there is also a need for nonlinear long memory models for example series of returns on financial assets typically tend to show zero correlation whereas their squares or absolute values exhibit long memory furthermore the search for a realistic mechanism for generating long memory has led to the development of other nonlinear long memory models in this chapter we will present several nonlinear long memory models and discuss the properties of the models as well as associated parametric andsemiparametric estimators
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706.1837
Subgeometric ergodicity of Markov chains
The goal of this paper is to give a short and self contained proof of general bounds for subgeometric rates of convergence, under practical conditions. The main result whose proof, based on coupling, provides an intuitive understanding of the results of Nummelin and Tuominen (1983) and Tuominen and Tweedie (1994). To obtain practical rates, a very general drift condition, recently introduced in Douc et al (2004) is used.
math.ST stat.TH
the goal of this paper is to give a short and self contained proof of general bounds for subgeometric rates of convergence under practical conditions the main result whose proof based on coupling provides an intuitive understanding of the results of nummelin and tuominen 1983 and tuominen and tweedie 1994 to obtain practical rates a very general drift condition recently introduced in douc et al 2004 is used
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706.1838
On the K\"ahler classes of constant scalar curvature metrics on blow ups
In this note we clarify the structure of the moduli space of constant scalar curvature Kaehler metrics as one approaches the boundary of the Kaehler cone on cscK manifolds blown up at finite set of points, in the spirit of the previous work arXiv:math/0504115. Results about which Kaehler classes can be reached and about the position of the blown up points are given.
math.DG
in this note we clarify the structure of the moduli space of constant scalar curvature kaehler metrics as one approaches the boundary of the kaehler cone on csck manifolds blown up at finite set of points in the spirit of the previous work arxivmath0504115 results about which kaehler classes can be reached and about the position of the blown up points are given
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706.1839
Nurturing Breakthroughs: Lessons from Complexity Theory
A general theory of innovation and progress in human society is outlined, based on the combat between two opposite forces (conservatism/inertia and speculative herding "bubble" behavior). We contend that human affairs are characterized by ubiquitous ``bubbles'', which involve huge risks which would not otherwise be taken using standard cost/benefit analysis. Bubbles result from self-reinforcing positive feedbacks. This leads to explore uncharted territories and niches whose rare successes lead to extraordinary discoveries and provide the base for the observed accelerating development of technology and of the economy. But the returns are very heterogeneous, very risky and may not occur. In other words, bubbles, which are characteristic definitions of human activity, allow huge risks to get huge returns over large scales. We outline some underlying mathematical structure and a few results involving positive feedbacks, emergence, heavy-tailed power laws, outliers/kings/black swans, the problem of predictability and the illusion of control, as well as some policy implications.
physics.soc-ph q-fin.GN
a general theory of innovation and progress in human society is outlined based on the combat between two opposite forces conservatisminertia and speculative herding bubble behavior we contend that human affairs are characterized by ubiquitous bubbles which involve huge risks which would not otherwise be taken using standard costbenefit analysis bubbles result from selfreinforcing positive feedbacks this leads to explore uncharted territories and niches whose rare successes lead to extraordinary discoveries and provide the base for the observed accelerating development of technology and of the economy but the returns are very heterogeneous very risky and may not occur in other words bubbles which are characteristic definitions of human activity allow huge risks to get huge returns over large scales we outline some underlying mathematical structure and a few results involving positive feedbacks emergence heavytailed power laws outlierskingsblack swans the problem of predictability and the illusion of control as well as some policy implications
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706.184
Vortex pump for dilute Bose-Einstein condensates
The formation of vortices by topological phase engineering has been realized experimentally to create the first two- and four-quantum vortices in dilute atomic Bose-Einstein condensates [A. E. Leanhardt et al., Phys. Rev. Lett. 89, 190403 (2002)]. We consider a similar system, but in addition to the Ioffe-Pritchard magnetic trap we employ an additional hexapole field. By controlling cyclicly the strengths of these magnetic fields, we show that a fixed amount of vorticity can be added to the condensate in each cycle. In an adiabatic operation of this vortex pump, the appearance of vortices into the condensate is interpreted as the accumulation of a local Berry phase. Our design can be used as an experimentally realizable vortex source for possible vortex-based applications of dilute Bose-Einstein condensates.
cond-mat.mes-hall cond-mat.other
the formation of vortices by topological phase engineering has been realized experimentally to create the first two and fourquantum vortices in dilute atomic boseeinstein condensates a e leanhardt et al phys rev lett 89 190403 2002 we consider a similar system but in addition to the ioffepritchard magnetic trap we employ an additional hexapole field by controlling cyclicly the strengths of these magnetic fields we show that a fixed amount of vorticity can be added to the condensate in each cycle in an adiabatic operation of this vortex pump the appearance of vortices into the condensate is interpreted as the accumulation of a local berry phase our design can be used as an experimentally realizable vortex source for possible vortexbased applications of dilute boseeinstein condensates
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706.1841
Chirality induced anomalous-Hall effect in helical spin crystals
Under pressure, the itinerant helimagnet MnSi displays unusual magnetic properties. We have previously discussed a BCC helical spin crystal as a promising starting point for describing the high pressure phenomenology. This state has topologically nontrivial configurations of the magnetization field. Here we note the consequences for magneto-transport that arise generally from such spin textures. In particular a skyrmion density induced `topological' Hall effect, with unusual field dependence, is described.
cond-mat.str-el
under pressure the itinerant helimagnet mnsi displays unusual magnetic properties we have previously discussed a bcc helical spin crystal as a promising starting point for describing the high pressure phenomenology this state has topologically nontrivial configurations of the magnetization field here we note the consequences for magnetotransport that arise generally from such spin textures in particular a skyrmion density induced topological hall effect with unusual field dependence is described
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706.1842
Do language change rates depend on population size?
An earlier study (Nettle 1999b) concluded, based on computer simulations and some inferences from empirical data, that languages will change the more slowly the larger the population gets. We replicate this study using a more complete language model for simulations (the Schulze model combined with a Barabasi-Albert net- work) and a richer empirical dataset (the World Atlas of Language Structures edited by Haspelmath et al. 2005). Our simulations show either a weak or stronger dependence of language change on population sizes depending on the parameter settings, and empirical data, like some of the simulations, show a weak dependence.
physics.soc-ph
an earlier study nettle 1999b concluded based on computer simulations and some inferences from empirical data that languages will change the more slowly the larger the population gets we replicate this study using a more complete language model for simulations the schulze model combined with a barabasialbert net work and a richer empirical dataset the world atlas of language structures edited by haspelmath et al 2005 our simulations show either a weak or stronger dependence of language change on population sizes depending on the parameter settings and empirical data like some of the simulations show a weak dependence
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706.1843
Generalized Space-time Noncommutative Inflation
We study the noncommutative inflation with a time-dependent noncommutativity between space and time. From the numerical analysis of power law inflation, there are clues that the CMB spectrum indicates a nonconstant noncommutative inflation. Then we extend our treatment to the inflation models with more general noncommutativity and find that the scalar perturbation power spectrum depends sensitively on the time varying of the spacetime noncommutativity. This stringy effect may be probed in the future cosmological observations.
hep-th
we study the noncommutative inflation with a timedependent noncommutativity between space and time from the numerical analysis of power law inflation there are clues that the cmb spectrum indicates a nonconstant noncommutative inflation then we extend our treatment to the inflation models with more general noncommutativity and find that the scalar perturbation power spectrum depends sensitively on the time varying of the spacetime noncommutativity this stringy effect may be probed in the future cosmological observations
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706.1844
Role of the rho meson in the description of pion electroproduction experiments at JLab
We study the p(e,e' pi+)n reaction in the framework of an effective Lagrangian approach including nucleon, pi and rho meson degrees of freedom and show the importance of the rho-meson t-pole contribution to sigmaT, the transverse part of cross section. We test two different field representations of the rho meson, vector and tensor, and find that the tensor representation of the rho meson is more reliable in the description of the existing data. In particular, we show that the rho-meson t-pole contribution, including the interference with an effective non-local contact term, sufficiently improves the description of the recent JLab data at invariant mass W less 2.2 GeV and Q2 less 2.5 GeV2/c2. A ``soft'' variant of the strong piNN and rhoNN form factors is also found to be compatible with these data. On the basis of the successful description of both the sigmaL and sigmaT parts of the cross section we discuss the importance of taking into account the sigmaT data when extracting the charge pion form factor Fpi from sigmaL.
hep-ph
we study the pee pin reaction in the framework of an effective lagrangian approach including nucleon pi and rho meson degrees of freedom and show the importance of the rhomeson tpole contribution to sigmat the transverse part of cross section we test two different field representations of the rho meson vector and tensor and find that the tensor representation of the rho meson is more reliable in the description of the existing data in particular we show that the rhomeson tpole contribution including the interference with an effective nonlocal contact term sufficiently improves the description of the recent jlab data at invariant mass w less 22 gev and q2 less 25 gev2c2 a soft variant of the strong pinn and rhonn form factors is also found to be compatible with these data on the basis of the successful description of both the sigmal and sigmat parts of the cross section we discuss the importance of taking into account the sigmat data when extracting the charge pion form factor fpi from sigmal
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706.1845
Probing Minimal Flavor Violation at the LHC
If the LHC experiments discover new particles that couple to the Standard Model fermions, then measurements by ATLAS and CMS can contribute to our understanding of the flavor puzzles. We demonstrate this statement by investigating a scenario where extra SU(2)-singlet down-type quarks are within the LHC reach. By measuring masses, production cross sections and relative decay rates, minimal flavor violation (MFV) can in principle be excluded. Conversely, these measurements can probe the way in which MFV applies to the new degrees of freedom. Many of our conclusions are valid in a much more general context than this specific extension of the Standard Model.
hep-ph hep-ex
if the lhc experiments discover new particles that couple to the standard model fermions then measurements by atlas and cms can contribute to our understanding of the flavor puzzles we demonstrate this statement by investigating a scenario where extra su2singlet downtype quarks are within the lhc reach by measuring masses production cross sections and relative decay rates minimal flavor violation mfv can in principle be excluded conversely these measurements can probe the way in which mfv applies to the new degrees of freedom many of our conclusions are valid in a much more general context than this specific extension of the standard model
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706.1846
Nonlinear turbulent magnetic diffusion and effective drift velocity of large-scale magnetic field in a two-dimensional magnetohydrodynamic turbulence
We study a nonlinear quenching of turbulent magnetic diffusion and effective drift velocity of large-scale magnetic field in a developed two-dimensional MHD turbulence at large magnetic Reynolds numbers. We show that transport of the mean-square magnetic potential strongly changes quenching of turbulent magnetic diffusion. In particularly, the catastrophic quenching of turbulent magnetic diffusion does not occur for the large-scale magnetic fields $B \gg B_{\rm eq} / \sqrt{\rm Rm}$ when a divergence of the flux of the mean-square magnetic potential is not zero, where $B_{\rm eq}$ is the equipartition mean magnetic field determined by the turbulent kinetic energy and Rm is the magnetic Reynolds number. In this case the quenching of turbulent magnetic diffusion is independent of magnetic Reynolds number. The situation is similar to three-dimensional MHD turbulence at large magnetic Reynolds numbers whereby the catastrophic quenching of the alpha effect does not occur when a divergence of the flux of the small-scale magnetic helicity is not zero.
astro-ph
we study a nonlinear quenching of turbulent magnetic diffusion and effective drift velocity of largescale magnetic field in a developed twodimensional mhd turbulence at large magnetic reynolds numbers we show that transport of the meansquare magnetic potential strongly changes quenching of turbulent magnetic diffusion in particularly the catastrophic quenching of turbulent magnetic diffusion does not occur for the largescale magnetic fields b gg b_rm eq sqrtrm rm when a divergence of the flux of the meansquare magnetic potential is not zero where b_rm eq is the equipartition mean magnetic field determined by the turbulent kinetic energy and rm is the magnetic reynolds number in this case the quenching of turbulent magnetic diffusion is independent of magnetic reynolds number the situation is similar to threedimensional mhd turbulence at large magnetic reynolds numbers whereby the catastrophic quenching of the alpha effect does not occur when a divergence of the flux of the smallscale magnetic helicity is not zero
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706.1847
Stationary black holes and attractor mechanism
We investigate the symmetries of the near horizon geometry of extremal stationary black holes in four dimensional Einstein gravity coupled to abelian gauge fields and neutral scalars. Careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horizon geometry has $SO(2,1)\times U(1)$ isometry. This complements the rotating attractors proposal of hep-th/0606244 that had assumed the presence of this isometry. The extremal solutions are classified into two families differentiated by the presence or absence of an ergo-region. We also comment on the attractor mechanism of both branches.
hep-th gr-qc
we investigate the symmetries of the near horizon geometry of extremal stationary black holes in four dimensional einstein gravity coupled to abelian gauge fields and neutral scalars careful consideration of the equations of motion and the boundary conditions at the horizon imply that the near horizon geometry has so21times u1 isometry this complements the rotating attractors proposal of hepth0606244 that had assumed the presence of this isometry the extremal solutions are classified into two families differentiated by the presence or absence of an ergoregion we also comment on the attractor mechanism of both branches
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706.1848
Quenching of photon and pion spectra at intermediate RHIC energy
Single prompt photon and pion spectra in p-p and Au-Au collisions at intermediate RHIC energy, s^1/2 = 62.4 GeV, are computed at large transverse momentum in perturbative QCD. Next-to-leading order calculations in p-p scattering are first presented. The quenching of the prompt photon and pion yield due to energy loss processes in central Au-Au with respect to p-p collisions is then predicted. At this energy, the small phase-space available to produce hard partons makes the pion quenching almost as pronounced as at s^1/2 = 200 GeV, despite the smaller gluon density of the produced medium. In the photon sector, energy loss effects prove small because of this very phase-space restriction, which favours the direct production channel. A significant suppression of high-pt photons is however predicted, because of a strong isospin effect together with the depletion of nuclear parton densities at large x.
hep-ph nucl-ex nucl-th
single prompt photon and pion spectra in pp and auau collisions at intermediate rhic energy s12 624 gev are computed at large transverse momentum in perturbative qcd nexttoleading order calculations in pp scattering are first presented the quenching of the prompt photon and pion yield due to energy loss processes in central auau with respect to pp collisions is then predicted at this energy the small phasespace available to produce hard partons makes the pion quenching almost as pronounced as at s12 200 gev despite the smaller gluon density of the produced medium in the photon sector energy loss effects prove small because of this very phasespace restriction which favours the direct production channel a significant suppression of highpt photons is however predicted because of a strong isospin effect together with the depletion of nuclear parton densities at large x
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706.1849
Extreme-Value Analysis of Standardized Gaussian Increments
Let $\{X_i,i=1,2,...\}$ be i.i.d. standard gaussian variables. Let $S_n=X_1+...+X_n$ be the sequence of partial sums and $$ L_n=\max_{0\leq i<j\leq n}\frac{S_j-S_i}{\sqrt{j-i}}. $$ We show that the distribution of $L_n$, appropriately normalized, converges as $n\to\infty$ to the Gumbel distribution. In some sense, the the random variable $L_n$, being the maximum of $n(n+1)/2$ dependent standard gaussian variables, behaves like the maximum of $Hn \log n$ independent standard gaussian variables. Here, $H\in (0,\infty)$ is some constant. We also prove a version of the above result for the Brownian motion.
math.PR
let x_ii12 be iid standard gaussian variables let s_nx_1x_n be the sequence of partial sums and l_nmax_0leq ijleq nfracs_js_isqrtji we show that the distribution of l_n appropriately normalized converges as ntoinfty to the gumbel distribution in some sense the the random variable l_n being the maximum of nn12 dependent standard gaussian variables behaves like the maximum of hn log n independent standard gaussian variables here hin 0infty is some constant we also prove a version of the above result for the brownian motion
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706.185
Casimir-Lifshitz force out of thermal equilibrium
We study the Casimir-Lifshitz interaction out of thermal equilibrium, with particular attention devoted to the surface-surface and surface-atom configurations. A systematic investigation of the contributions to the force coming from the propagating and evanescent components of the electromagnetic radiation is performed. The large distance behaviors of such interactions is discussed, and both analytical and numerical results are compared with the equilibrium ones. A detailed analysis of the crossing between the surface-surface and the surface-rarefied body, and finally the surface-atom force is shown, and a complete derivation and discussion of the recently predicted non-additivity effects and new asymptotic behaviors is presented.
cond-mat.stat-mech cond-mat.other quant-ph
we study the casimirlifshitz interaction out of thermal equilibrium with particular attention devoted to the surfacesurface and surfaceatom configurations a systematic investigation of the contributions to the force coming from the propagating and evanescent components of the electromagnetic radiation is performed the large distance behaviors of such interactions is discussed and both analytical and numerical results are compared with the equilibrium ones a detailed analysis of the crossing between the surfacesurface and the surfacerarefied body and finally the surfaceatom force is shown and a complete derivation and discussion of the recently predicted nonadditivity effects and new asymptotic behaviors is presented
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706.1851
On the inspiral of Massive Black Holes in gas-rich galaxy mergers
We present a study on the dynamics of massive BHs in galaxy mergers, obtained from a series of high-resolution N-Body/SPH simulations. The presence of a gaseous component is essential for the rapid formation of an eccentric (Keplerian) BH binary, that resides at the center of a massive (~10^9 Msun) turbulent nuclear disc. Using physically and/or numerically motivated recipes, we follow the accretion history of the BHs during the merger. The mass of the BHs increases as large central inflows of gas occur inside each galaxy, and their mass ratio varies with time. Given the encountered strong degeneracy between numerical resolution and physical assumptions, we suggest here three possible paths followed by the galaxies and the BHs during a merger in order to fulfill the M-sigma relation : Adjustment, Symbiosis, and BH Dominance. In an extremely high resolution run, we resolved the turbulent gas pattern down to parsec scales, and found that BH feedback is expected to be effective near the end of the merger. We then trace the BH binary orbit down to a scale of 0.1 pc modeling the nuclear disc as an equilibrium Mestel disc composed either of gas, gas and stars, or just stars. Under the action of dynamical friction against the rotating gaseous and/or stellar background the orbit circularizes. When this occurs, each BH is endowed with its own small-size (~0.01 pc) accretion disc comprising a few percent of the BH mass. Double AGN activity is expected to occur on an estimated timescale of ~10 Myrs, comparable to the inspiral time. The double nuclear point--like sources that may appear have typical separations of ~10 pc, and are likely to be embedded in the still ongoing starburst.
astro-ph
we present a study on the dynamics of massive bhs in galaxy mergers obtained from a series of highresolution nbodysph simulations the presence of a gaseous component is essential for the rapid formation of an eccentric keplerian bh binary that resides at the center of a massive 109 msun turbulent nuclear disc using physically andor numerically motivated recipes we follow the accretion history of the bhs during the merger the mass of the bhs increases as large central inflows of gas occur inside each galaxy and their mass ratio varies with time given the encountered strong degeneracy between numerical resolution and physical assumptions we suggest here three possible paths followed by the galaxies and the bhs during a merger in order to fulfill the msigma relation adjustment symbiosis and bh dominance in an extremely high resolution run we resolved the turbulent gas pattern down to parsec scales and found that bh feedback is expected to be effective near the end of the merger we then trace the bh binary orbit down to a scale of 01 pc modeling the nuclear disc as an equilibrium mestel disc composed either of gas gas and stars or just stars under the action of dynamical friction against the rotating gaseous andor stellar background the orbit circularizes when this occurs each bh is endowed with its own smallsize 001 pc accretion disc comprising a few percent of the bh mass double agn activity is expected to occur on an estimated timescale of 10 myrs comparable to the inspiral time the double nuclear pointlike sources that may appear have typical separations of 10 pc and are likely to be embedded in the still ongoing starburst
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706.1852
Cooperative action in eukaryotic gene regulation: physical properties of a viral example
The Epstein-Barr virus (EBV) infects more than 90% of the human population, and is the cause of several both serious and mild diseases. It is a tumorivirus, and has been widely studied as a model system for gene (de)regulation in human. A central feature of the EBV life cycle is its ability to persist in human B cells in states denoted latency I, II and III. In latency III the host cell is driven to cell proliferation and hence expansion of the viral population, but does not enter the lytic pathway, and no new virions are produced, while the latency I state is almost completely dormant. In this paper we study a physico-chemical model of the switch between latency I and latency III in EBV. We show that the unusually large number of binding sites of two competing transcription factors, one viral and one from the host, serves to make the switch sharper (higher Hill coefficient), either by cooperative binding between molecules of the same species when they bind, or by competition between the two species if there is sufficient steric hindrance.
q-bio.SC cond-mat.soft q-bio.MN
the epsteinbarr virus ebv infects more than 90 of the human population and is the cause of several both serious and mild diseases it is a tumorivirus and has been widely studied as a model system for gene deregulation in human a central feature of the ebv life cycle is its ability to persist in human b cells in states denoted latency i ii and iii in latency iii the host cell is driven to cell proliferation and hence expansion of the viral population but does not enter the lytic pathway and no new virions are produced while the latency i state is almost completely dormant in this paper we study a physicochemical model of the switch between latency i and latency iii in ebv we show that the unusually large number of binding sites of two competing transcription factors one viral and one from the host serves to make the switch sharper higher hill coefficient either by cooperative binding between molecules of the same species when they bind or by competition between the two species if there is sufficient steric hindrance
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706.1853
Development of a 5 MHz frequency difference pre-multiplier for a short term frequency stability bench of the oscillators
This paper reports the realization of a 5 MHz frequency difference x10 pre-multiplier, developed in the laboratory to replace an obsolete one. The principle we chose is to synthesize a 45 MHz and a 50 MHz from a reference signal and from the signal to be measured, and to subtract one to the other to generate a 5 MHz, whose precision on the measurement is increased by a factor 10. Obtained Allan variance &#61555;y(&#61556;) at 1 s is 5.10-14 and output spectral density of phase noise floor is about -160 dBc/Hz at 5 MHz.
physics.ins-det
this paper reports the realization of a 5 mhz frequency difference x10 premultiplier developed in the laboratory to replace an obsolete one the principle we chose is to synthesize a 45 mhz and a 50 mhz from a reference signal and from the signal to be measured and to subtract one to the other to generate a 5 mhz whose precision on the measurement is increased by a factor 10 obtained allan variance 61555y61556 at 1 s is 51014 and output spectral density of phase noise floor is about 160 dbchz at 5 mhz
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706.1854
Two-particle binding energy of interacting Bose gases
The pole of the two-particle T-matrix including the influence of the surrounding medium is analyzed for an interacting Bose gas. The phase diagram of the Bose -Einstein condensation (BEC) depending on the temperature, density, scattering length, and momentum is derived from this pole. The critical momentum for the occurrence of superfluidity is obtained in this way. As a new observation a two- particle binding energy is reported intimately connected with the occurrence of the BEC. It is suggested that this might have cosmological consequences on the dark energy problem.
cond-mat.other astro-ph cond-mat.stat-mech cond-mat.str-el gr-qc physics.atom-ph
the pole of the twoparticle tmatrix including the influence of the surrounding medium is analyzed for an interacting bose gas the phase diagram of the bose einstein condensation bec depending on the temperature density scattering length and momentum is derived from this pole the critical momentum for the occurrence of superfluidity is obtained in this way as a new observation a two particle binding energy is reported intimately connected with the occurrence of the bec it is suggested that this might have cosmological consequences on the dark energy problem
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706.1855
Connecting N-representability to Weyl's problem: The one particle density matrix for N = 3 and R = 6
An analytic proof is given of the necessity of the Borland-Dennis conditions for 3-representability of a one particle density matrix with rank 6. This may shed some light on Klyachko's recent use of Schubert calculus to find general conditions for N-representability.
quant-ph
an analytic proof is given of the necessity of the borlanddennis conditions for 3representability of a one particle density matrix with rank 6 this may shed some light on klyachkos recent use of schubert calculus to find general conditions for nrepresentability
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706.1856
Transition region features observed with Hinode/EIS
Two types of active region feature prominent at transition region temperatures are identified in Hinode/EIS data of AR 10938 taken on 2007 January 20. The footpoints of 1 MK TRACE loops are shown to emit strongly in emission lines formed at log T=5.4-5.8, allowing the temperature increase along the footpoints to be clearly seen. A density diagnostic of Mg VII yields the density in the footpoints, with one loop showing a decrease from 3x10^9 cm^-3 at the base to 1.5x10^9 cm^-3 at a projected height of 20 Mm. The second feature is a compact active region transition region brightening which is particularly intense in O V emission (log T=5.4) but also has a signature at temperatures up to log T=6.3. The Mg VII diagnostic gives a density of 4x10^10 cm^-3, and emission lines of Mg VI and Mg VII show line profiles broadened by 50 km/s and wings extending beyond 200 km/s. Continuum emission in the short wavelength band is also found to be enhanced, and is suggested to be free-bound emission from recombination onto He^+.
astro-ph
two types of active region feature prominent at transition region temperatures are identified in hinodeeis data of ar 10938 taken on 2007 january 20 the footpoints of 1 mk trace loops are shown to emit strongly in emission lines formed at log t5458 allowing the temperature increase along the footpoints to be clearly seen a density diagnostic of mg vii yields the density in the footpoints with one loop showing a decrease from 3x109 cm3 at the base to 15x109 cm3 at a projected height of 20 mm the second feature is a compact active region transition region brightening which is particularly intense in o v emission log t54 but also has a signature at temperatures up to log t63 the mg vii diagnostic gives a density of 4x1010 cm3 and emission lines of mg vi and mg vii show line profiles broadened by 50 kms and wings extending beyond 200 kms continuum emission in the short wavelength band is also found to be enhanced and is suggested to be freebound emission from recombination onto he
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706.1857
EUV emission lines and diagnostics observed with Hinode/EIS
Quiet Sun and active region spectra from the Hinode/EIS instrument are presented, and the strongest lines from different temperature regions discussed. A list of emission lines recommended to be included in EIS observation studies is presented based on analysis of blending and diagnostic potential using the CHIANTI atomic database. In addition we identify the most useful density diagnostics from the ions covered by EIS.
astro-ph
quiet sun and active region spectra from the hinodeeis instrument are presented and the strongest lines from different temperature regions discussed a list of emission lines recommended to be included in eis observation studies is presented based on analysis of blending and diagnostic potential using the chianti atomic database in addition we identify the most useful density diagnostics from the ions covered by eis
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706.1858
Advanced bridge instrument for the measurement of the phase noise and of the short-term frequency stability of ultra-stable quartz resonators
High-stability quartz oscillators are needed in a number of space applications. A short-term stability of parts in 10^{-14} [Allan deviation \sigma y(\tau) ] is sometimes required, for integration time \tau of approximately 1-10 s. The Centre National d'Etudes Spatiales (CNES) and the FEMTO-ST Institute (formerly LPMO and LCEP), have been collaborating for many years in this domain, aiming at measuring and at understanding the oscillator noise. The highest stability has been observed on 5 MHz and 10 MHz bulk acoustic-wave resonators. Yet this stability is still not sufficient, or the the manufacturing method is not reproducible. Recently, the analysis of a few premium-stability oscillators has demonstrated that the oscillator frequency instability is due to the fluctuation of the resonator natural frequency, rather than to the noise of the sustaining amplifier via the Leeson effect. It is therefore natural to give attention to the measurement of the resonator fluctuations.
physics.ins-det
highstability quartz oscillators are needed in a number of space applications a shortterm stability of parts in 1014 allan deviation sigma ytau is sometimes required for integration time tau of approximately 110 s the centre national detudes spatiales cnes and the femtost institute formerly lpmo and lcep have been collaborating for many years in this domain aiming at measuring and at understanding the oscillator noise the highest stability has been observed on 5 mhz and 10 mhz bulk acousticwave resonators yet this stability is still not sufficient or the the manufacturing method is not reproducible recently the analysis of a few premiumstability oscillators has demonstrated that the oscillator frequency instability is due to the fluctuation of the resonator natural frequency rather than to the noise of the sustaining amplifier via the leeson effect it is therefore natural to give attention to the measurement of the resonator fluctuations
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706.1859
Failure of standard approximations of the exchange coupling in nanostructures
We calculate the exchange coupling for a double dot system using a novel, numerically exact yet efficient technique, based on finite-element methods. Specifically, we evaluate the exchange coupling both for a quasi-one and a two-dimensional system, also including an applied magnetic field. Our numerical results provide a stringent test for standard approximation schemes (e.g., Heitler-London, Hund-Mulliken, Hubbard), and they show that the standard methods do not have reliable predictive power for real quantum-dot systems.
cond-mat.mes-hall
we calculate the exchange coupling for a double dot system using a novel numerically exact yet efficient technique based on finiteelement methods specifically we evaluate the exchange coupling both for a quasione and a twodimensional system also including an applied magnetic field our numerical results provide a stringent test for standard approximation schemes eg heitlerlondon hundmulliken hubbard and they show that the standard methods do not have reliable predictive power for real quantumdot systems
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706.186
FIPA-based Interoperable Agent Mobility Proposal
This paper presents a proposal for a flexible agent mobility architecture based on IEEE-FIPA standards and intended to be one of them. This proposal is a first step towards interoperable mobility mechanisms, which are needed for future agent migration between different kinds of platforms. Our proposal is presented as a flexible and robust architecture that has been successfully implemented in the JADE and AgentScape platforms. It is based on an open set of protocols, allowing new protocols and future improvements to be accommodated in the architecture. With this proposal we demonstrate that a standard architecture for agent mobility capable of supporting several agent platforms can be defined and implemented.
cs.MA cs.NI
this paper presents a proposal for a flexible agent mobility architecture based on ieeefipa standards and intended to be one of them this proposal is a first step towards interoperable mobility mechanisms which are needed for future agent migration between different kinds of platforms our proposal is presented as a flexible and robust architecture that has been successfully implemented in the jade and agentscape platforms it is based on an open set of protocols allowing new protocols and future improvements to be accommodated in the architecture with this proposal we demonstrate that a standard architecture for agent mobility capable of supporting several agent platforms can be defined and implemented
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706.1861
Asymmetric and Moving-Frame Approaches to Navier-Stokes Equations
In this paper, we introduce a method of imposing asymmetric conditions on the velocity vector with respect to independent variables and a method of moving frame for solving the three dimensional Navier-Stokes equations. Seven families of non-steady rotating asymmetric solutions with various parameters are obtained. In particular, one family of solutions blow up at any point on a moving plane with a line deleted, which may be used to study turbulence. Using Fourier expansion and two families of our solutions, one can obtain discontinuous solutions that may be useful in study of shock waves. Another family of solutions are partially cylindrical invariant, contain two parameter functions of $t$ and structurally depend on two arbitrary polynomials, which may be used to describe incompressible fluid in a nozzle. Most of our solutions are globally analytic with respect to spacial variables.
physics.flu-dyn math-ph math.AP math.MP nlin.SI
in this paper we introduce a method of imposing asymmetric conditions on the velocity vector with respect to independent variables and a method of moving frame for solving the three dimensional navierstokes equations seven families of nonsteady rotating asymmetric solutions with various parameters are obtained in particular one family of solutions blow up at any point on a moving plane with a line deleted which may be used to study turbulence using fourier expansion and two families of our solutions one can obtain discontinuous solutions that may be useful in study of shock waves another family of solutions are partially cylindrical invariant contain two parameter functions of t and structurally depend on two arbitrary polynomials which may be used to describe incompressible fluid in a nozzle most of our solutions are globally analytic with respect to spacial variables
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706.1862
Optimal H2 order-one reduction by solving eigenproblems for polynomial equations
A method is given for solving an optimal H2 approximation problem for SISO linear time-invariant stable systems. The method, based on constructive algebra, guarantees that the global optimum is found; it does not involve any gradient-based search, and hence avoids the usual problems of local minima. We examine mostly the case when the model order is reduced by one, and when the original system has distinct poles. This case exhibits special structure which allows us to provide a complete solution. The problem is converted into linear algebra by exhibiting a finite-dimensional basis for a certain space, and can then be solved by eigenvalue calculations, following the methods developed by Stetter and Moeller. The use of Buchberger's algorithm is avoided by writing the first-order optimality conditions in a special form, from which a Groebner basis is immediately available. Compared with our previous work the method presented here has much smaller time and memory requirements, and can therefore be applied to systems of significantly higher McMillan degree. In addition, some hypotheses which were required in the previous work have been removed. Some examples are included.
math.OC math.AC
a method is given for solving an optimal h2 approximation problem for siso linear timeinvariant stable systems the method based on constructive algebra guarantees that the global optimum is found it does not involve any gradientbased search and hence avoids the usual problems of local minima we examine mostly the case when the model order is reduced by one and when the original system has distinct poles this case exhibits special structure which allows us to provide a complete solution the problem is converted into linear algebra by exhibiting a finitedimensional basis for a certain space and can then be solved by eigenvalue calculations following the methods developed by stetter and moeller the use of buchbergers algorithm is avoided by writing the firstorder optimality conditions in a special form from which a groebner basis is immediately available compared with our previous work the method presented here has much smaller time and memory requirements and can therefore be applied to systems of significantly higher mcmillan degree in addition some hypotheses which were required in the previous work have been removed some examples are included
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706.1863
Positions of Point-Nodes in Borocarbide Superconductor YNi2B2C
To determine the superconducting gap function of YNi2B2C, we calculate the local density of states (LDOS) around a single vortex core with the use of Eilenberger theory and the band structure calculated by local density approximation assuming various gap structures with point-nodes at different positions. We also calculate the angular-dependent heat capacity in the vortex state on the basis of the Doppler-Shift method. Comparing our results with the STM/STS experiment, the angular-dependent heat capacity and thermal conductivity, we propose the gap-structure of YNi2B2C, which has the point-nodes and gap minima along <110>. Our gap-structure is consistent with all results of angular-resolved experiments.
cond-mat.supr-con
to determine the superconducting gap function of yni2b2c we calculate the local density of states ldos around a single vortex core with the use of eilenberger theory and the band structure calculated by local density approximation assuming various gap structures with pointnodes at different positions we also calculate the angulardependent heat capacity in the vortex state on the basis of the dopplershift method comparing our results with the stmsts experiment the angulardependent heat capacity and thermal conductivity we propose the gapstructure of yni2b2c which has the pointnodes and gap minima along 110 our gapstructure is consistent with all results of angularresolved experiments
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706.1864
New Algebraic Approaches to Classical Boundary Layer Problems
In this paper, we use various ansatzes with undetermined functions and the technique of moving frame to find solutions with parameter functions modulo the Lie point symmetries for the classical non-steady boundary layer problems. These parameter functions enable one to find the solutions of some related practical models and boundary value problems.
physics.flu-dyn math-ph math.AP math.MP nlin.SI
in this paper we use various ansatzes with undetermined functions and the technique of moving frame to find solutions with parameter functions modulo the lie point symmetries for the classical nonsteady boundary layer problems these parameter functions enable one to find the solutions of some related practical models and boundary value problems
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706.1865
Young massive star clusters in the era of the Hubble Space Telescope
The Hubble Space Telescope (HST) has been instrumental in the discovery of large numbers of extragalactic young massive star clusters (YMCs), often assumed to be proto-globular clusters (GCs). As a consequence, the field of YMC formation and evolution is thriving, generating major breakthroughs as well as controversies on annual (or shorter) time-scales. Here, I review the long-term survival chances of YMCs, hallmarks of intense starburst episodes often associated with violent galaxy interactions. In the absence of significant external perturbations, the key factor determining a cluster's long-term survival chances is the shape of its stellar initial mass function (IMF). It is, however, not straightforward to assess the IMF shape in unresolved extragalactic YMCs. I also discuss the latest progress in worldwide efforts to better understand the evolution of entire cluster populations, predominantly based on HST observations, and conclude that there is an increasing body of evidence that GC formation appears to be continuing until today; their long-term evolution crucially depends on their environmental conditions, however.
astro-ph
the hubble space telescope hst has been instrumental in the discovery of large numbers of extragalactic young massive star clusters ymcs often assumed to be protoglobular clusters gcs as a consequence the field of ymc formation and evolution is thriving generating major breakthroughs as well as controversies on annual or shorter timescales here i review the longterm survival chances of ymcs hallmarks of intense starburst episodes often associated with violent galaxy interactions in the absence of significant external perturbations the key factor determining a clusters longterm survival chances is the shape of its stellar initial mass function imf it is however not straightforward to assess the imf shape in unresolved extragalactic ymcs i also discuss the latest progress in worldwide efforts to better understand the evolution of entire cluster populations predominantly based on hst observations and conclude that there is an increasing body of evidence that gc formation appears to be continuing until today their longterm evolution crucially depends on their environmental conditions however
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706.1866
Recent developments in small-x physics
Recent theoretical progress in understanding high-energy scattering beyond the mean field approximation is reviewed. The role of Lorentz invariance and pomeron loops in the evolution, the relation between high-energy QCD and statistical physics and results for the saturation momentum and the scattering amplitude are discussed.
hep-ph
recent theoretical progress in understanding highenergy scattering beyond the mean field approximation is reviewed the role of lorentz invariance and pomeron loops in the evolution the relation between highenergy qcd and statistical physics and results for the saturation momentum and the scattering amplitude are discussed
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706.1867
Exclusive rho0 electroproduction
Exclusive rho0 electroproduction at HERA has been studied with the ZEUS detector, using 120 pb{-1} integrated luminosity, in the kinematic range of photon virtuality of 2 < Q2 < 160 GeV2, and gamma* p center-of-mass energy of 32 < W < 180 GeV. The results include the Q2 and W dependence of the gamma* p --> rho0 p cross section and the distribution of the squared-four-momentum transfer to the proton, t. Also included is the ratio of longitudinal to transverse gamma* p cross section as a function of Q2, W and t. Finally, the effective Pomeron trajectory was extracted. The results are compared to various theoretical predictions, none of which are able to reproduce all the features of the data.
hep-ex hep-ph
exclusive rho0 electroproduction at hera has been studied with the zeus detector using 120 pb1 integrated luminosity in the kinematic range of photon virtuality of 2 q2 160 gev2 and gamma p centerofmass energy of 32 w 180 gev the results include the q2 and w dependence of the gamma p rho0 p cross section and the distribution of the squaredfourmomentum transfer to the proton t also included is the ratio of longitudinal to transverse gamma p cross section as a function of q2 w and t finally the effective pomeron trajectory was extracted the results are compared to various theoretical predictions none of which are able to reproduce all the features of the data
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706.1868
Contributions of Issai Schur to Analysis
The name Schur is associated with many terms and concepts that are widely used in a number of diverse fields of mathematics and engineering. This survey article focuses on Schur's work in analysis. Here too, Schur's name is commonplace: The Schur test and Schur-Hadamard multipliers (in the study of estimates for Hermitian forms), Schur convexity, Schur complements, Schur's results in summation theory for sequences (in particular, the fundamental Kojima-Schur theorem), the Schur-Cohn test, the Schur algorithm, Schur parameters and the Schur interpolation problem for functions that are holomorphic and bounded by one in the unit disk. In this survey, we discuss all of the above mentioned topics and then some, as well as some of the generalizations that they inspired. There are nine sections of text, each of which is devoted to a separate theme based on Schur's work. Each of these sections has an independent bibliography. There is very little overlap. A tenth section presents a list of the papers of Schur that focus on topics that are commonly considered to be analysis. We begin with a review of Schur's less familiar papers on the theory of commuting differential operators.
math.CA
the name schur is associated with many terms and concepts that are widely used in a number of diverse fields of mathematics and engineering this survey article focuses on schurs work in analysis here too schurs name is commonplace the schur test and schurhadamard multipliers in the study of estimates for hermitian forms schur convexity schur complements schurs results in summation theory for sequences in particular the fundamental kojimaschur theorem the schurcohn test the schur algorithm schur parameters and the schur interpolation problem for functions that are holomorphic and bounded by one in the unit disk in this survey we discuss all of the above mentioned topics and then some as well as some of the generalizations that they inspired there are nine sections of text each of which is devoted to a separate theme based on schurs work each of these sections has an independent bibliography there is very little overlap a tenth section presents a list of the papers of schur that focus on topics that are commonly considered to be analysis we begin with a review of schurs less familiar papers on the theory of commuting differential operators
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706.1869
Shock heating by FR I radio sources in galaxy clusters
Feedback by active galactic nuclei (AGN) is frequently invoked to explain the cut-off of the galaxy luminosity function at the bright end and the absence of cooling flows in galaxy clusters. Meanwhile, there are recent observations of shock fronts around radio-loud AGN. Using realistic 3D simulations of jets in a galaxy cluster, we address the question what fraction of the energy of active galactic nuclei is dissipated in shocks. We find that weak shocks that encompass the AGN have Mach numbers of 1.1-1.2 and dissipate at least 2% of the mechanical luminosity of the AGN. In a realistic cluster medium, even a continuous jet can lead to multiple shock structures, which may lead to an overestimate of the AGN duty cycles inferred from the spatial distribution of waves.
astro-ph
feedback by active galactic nuclei agn is frequently invoked to explain the cutoff of the galaxy luminosity function at the bright end and the absence of cooling flows in galaxy clusters meanwhile there are recent observations of shock fronts around radioloud agn using realistic 3d simulations of jets in a galaxy cluster we address the question what fraction of the energy of active galactic nuclei is dissipated in shocks we find that weak shocks that encompass the agn have mach numbers of 1112 and dissipate at least 2 of the mechanical luminosity of the agn in a realistic cluster medium even a continuous jet can lead to multiple shock structures which may lead to an overestimate of the agn duty cycles inferred from the spatial distribution of waves
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706.187
Stability of coreless vortices in ferromagnetic spinor Bose-Einstein condensates
We study the energetic and dynamic stability of coreless vortices in nonrotated spin-1 Bose-Einstein condensates, trapped with a three-dimensional optical potential and a Ioffe-Pritchard field. The stability of stationary vortex states is investigated by solving the corresponding Bogoliubov equations. We show that the quasiparticle excitations corresponding to axisymmetric stationary states can be taken to be eigenstates of angular momentum in the axial direction. Our results show that coreless vortex states can occur as local or global minima of the condensate energy or become energetically or dynamically unstable depending on the parameters of the Ioffe-Pritchard field. The experimentally most relevant coreless vortex state containing a doubly quantized vortex in one of the hyperfine spin components turned out to have very non-trivial stability regions, and especially a quasiperiodic dynamic instability region which corresponds to splitting of the doubly quantized vortex.
cond-mat.mes-hall cond-mat.other
we study the energetic and dynamic stability of coreless vortices in nonrotated spin1 boseeinstein condensates trapped with a threedimensional optical potential and a ioffepritchard field the stability of stationary vortex states is investigated by solving the corresponding bogoliubov equations we show that the quasiparticle excitations corresponding to axisymmetric stationary states can be taken to be eigenstates of angular momentum in the axial direction our results show that coreless vortex states can occur as local or global minima of the condensate energy or become energetically or dynamically unstable depending on the parameters of the ioffepritchard field the experimentally most relevant coreless vortex state containing a doubly quantized vortex in one of the hyperfine spin components turned out to have very nontrivial stability regions and especially a quasiperiodic dynamic instability region which corresponds to splitting of the doubly quantized vortex
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706.1871
Simulation study of the two-dimensional Burridge-Knopoff model of earthquakes
Spatiotemporal correlations of the two-dimensional spring-block (Burridge-Knopoff) model of earthquakes are extensively studied by means of numerical computer simulations. The model is found to exhibit either ``subcritical'' or ``supercritical'' behavior, depending on the values of the model parameters. Transition between these regimes is either continuous or discontinuous. Seismic events in the ``subcritical'' regime and those in the ``supercritical'' regime at larger magnitudes exhibit universal scaling properties. In the ``supercritical'' regime, eminent spatiotemporal correlations, {\it e.g.}, remarkable growth of seismic activity preceding the mainshock, arise in earthquake occurrence, whereas such spatiotemporal correlations are significantly suppressed in the ``subcritical'' regime. Seismic activity is generically suppressed just before the mainshock in a close vicinity of the epicenter of the upcoming event while it remains to be active in the surroundings (the Mogi doughnut). It is also observed that, before and after the mainshock, the apparent $B$-value of the magnitude distribution decreases or increases in the ``supercritical'' or ``subcritical'' regimes, respectively. Such distinct precursory phenomena may open a way to the prediction of the upcoming large event.
cond-mat.other physics.geo-ph
spatiotemporal correlations of the twodimensional springblock burridgeknopoff model of earthquakes are extensively studied by means of numerical computer simulations the model is found to exhibit either subcritical or supercritical behavior depending on the values of the model parameters transition between these regimes is either continuous or discontinuous seismic events in the subcritical regime and those in the supercritical regime at larger magnitudes exhibit universal scaling properties in the supercritical regime eminent spatiotemporal correlations it eg remarkable growth of seismic activity preceding the mainshock arise in earthquake occurrence whereas such spatiotemporal correlations are significantly suppressed in the subcritical regime seismic activity is generically suppressed just before the mainshock in a close vicinity of the epicenter of the upcoming event while it remains to be active in the surroundings the mogi doughnut it is also observed that before and after the mainshock the apparent bvalue of the magnitude distribution decreases or increases in the supercritical or subcritical regimes respectively such distinct precursory phenomena may open a way to the prediction of the upcoming large event
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706.1872
Time-Dependent Pseudo-Hermitian Hamiltonians Defining a Unitary Quantum System and Uniqueness of the Metric Operator
The quantum measurement axiom dictates that physical observables and in particular the Hamiltonian must be diagonalizable and have a real spectrum. For a time-independent Hamiltonian (with a discrete spectrum) these conditions ensure the existence of a positive-definite inner product that renders the Hamiltonian self-adjoint. Unlike for a time-independent Hamiltonian, this does not imply the unitarity of the Schroedinger time-evolution for a general time-dependent Hamiltonian. We give an additional necessary and sufficient condition for the unitarity of time-evolution. In particular, we obtain the general form of a two-level Hamiltonian that fulfils this condition. We show that this condition is geometrical in nature and that it implies the reality of the adiabatic geometric phases. We also address the problem of the uniqueness of the metric operator.
quant-ph hep-th math-ph math.MP
the quantum measurement axiom dictates that physical observables and in particular the hamiltonian must be diagonalizable and have a real spectrum for a timeindependent hamiltonian with a discrete spectrum these conditions ensure the existence of a positivedefinite inner product that renders the hamiltonian selfadjoint unlike for a timeindependent hamiltonian this does not imply the unitarity of the schroedinger timeevolution for a general timedependent hamiltonian we give an additional necessary and sufficient condition for the unitarity of timeevolution in particular we obtain the general form of a twolevel hamiltonian that fulfils this condition we show that this condition is geometrical in nature and that it implies the reality of the adiabatic geometric phases we also address the problem of the uniqueness of the metric operator
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706.1873
COSMOSOMAS Observations of the CMB and Galactic Foregrounds at 11 GHz: Evidence for anomalous microwave emission at high Galactic Latitude
We present observations with the new 11 GHz radiometer of the COSMOSOMAS experiment at the Teide Observatory (Tenerife). The sky region between 0 deg <= RA <= 360 deg and 26 deg <= DEC 49 deg (ca. 6500 square degrees) was observed with an angular resolution of 0.9 deg. Two orthogonal independent channels in the receiving system measured total power signals from linear polarizations with a 2 GHz bandwidth. Maps with an average sensitivity of 50 microK per beam have been obtained for each channel. At high Galactic latitude (|b|>30deg) the 11 GHz data are found to contain the expected cosmic microwave background as well as extragalactic radiosources, galactic synchrotron and free-free emission, and a dust-correlated component which is very likely of galactic origin. At the angular scales allowed by the window function of the experiment, the dust-correlated component presents an amplitude \Delta T aprox. 9-13 microK while the CMB signal is of order 27 microK. The spectral behaviour of the dust-correlated signal is examined in the light of previous COSMOSOMAS data at 13-17 GHz and WMAP data at 22-94 GHz in the same sky region. We detect a flattening in the spectral index of this signal below 20 GHz which rules out synchrotron radiation as being responsible for the emission. This anomalous dust emission can be described by a combination of free-free emission and spinning dust models with a flux density peaking around 20 GHz.
astro-ph
we present observations with the new 11 ghz radiometer of the cosmosomas experiment at the teide observatory tenerife the sky region between 0 deg ra 360 deg and 26 deg dec 49 deg ca 6500 square degrees was observed with an angular resolution of 09 deg two orthogonal independent channels in the receiving system measured total power signals from linear polarizations with a 2 ghz bandwidth maps with an average sensitivity of 50 microk per beam have been obtained for each channel at high galactic latitude b30deg the 11 ghz data are found to contain the expected cosmic microwave background as well as extragalactic radiosources galactic synchrotron and freefree emission and a dustcorrelated component which is very likely of galactic origin at the angular scales allowed by the window function of the experiment the dustcorrelated component presents an amplitude delta t aprox 913 microk while the cmb signal is of order 27 microk the spectral behaviour of the dustcorrelated signal is examined in the light of previous cosmosomas data at 1317 ghz and wmap data at 2294 ghz in the same sky region we detect a flattening in the spectral index of this signal below 20 ghz which rules out synchrotron radiation as being responsible for the emission this anomalous dust emission can be described by a combination of freefree emission and spinning dust models with a flux density peaking around 20 ghz
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706.1874
Quelques math\'ematiques de la cryptographie \`a cl\'es publiques
I present examples of mathematical objects that are of interest for public key cryptography. Text for the Journ\'ee Annuelle 2007 of the SMF.
math.NT
i present examples of mathematical objects that are of interest for public key cryptography text for the journee annuelle 2007 of the smf
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706.1875
Derivative expansion of the heat kernel in curved space
The heat kernel in curved space-time is computed to fourth order in a strict expansion in the number of covariant derivatives. The computation is made for arbitrary non abelian gauge and scalar fields and for the Riemann connection in the coordinate sector. The expressions obtained hold for arbitrary tensor representations of the matter field. Complete results are presented for the diagonal matrix elements and for the trace of the heat kernel operator. In addition, Chan's formula is extended to curved space-time. As a byproduct, the bosonic effective action is also obtained to fourth order.
hep-th gr-qc
the heat kernel in curved spacetime is computed to fourth order in a strict expansion in the number of covariant derivatives the computation is made for arbitrary non abelian gauge and scalar fields and for the riemann connection in the coordinate sector the expressions obtained hold for arbitrary tensor representations of the matter field complete results are presented for the diagonal matrix elements and for the trace of the heat kernel operator in addition chans formula is extended to curved spacetime as a byproduct the bosonic effective action is also obtained to fourth order
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706.1876
A mathematical model for a copolymer in an emulsion
In this paper we review some recent results, obtained jointly with Stu Whittington, for a mathematical model describing a copolymer in an emulsion. The copolymer consists of hydrophobic and hydrophilic monomers, concatenated randomly with equal density. The emulsion consists of large blocks of oil and water, arranged in a percolation-type fashion. To make the model mathematically tractable, the copolymer is allowed to enter and exit a neighboring pair of blocks only at diagonally opposite corners. The energy of the copolymer in the emulsion is minus $\alpha$ times the number of hydrophobic monomers in oil minus $\beta$ times the number of hydrophilic monomers in water. Without loss of generality we may assume that the interaction parameters are restricted to the cone $\{(\alpha,\beta)\in \mathbb{R}^2\colon |\beta|\leq\alpha\}$. We show that the phase diagram has two regimes: (1) in the supercritical regime where the oil blocks percolate, there is a single critical curve in the cone separating a localized and a delocalized phase; (2) in the subcritical regime where the oil blocks do not percolate, there are three critical curves in the cone separating two localized phases and two delocalized phases, and meeting at two tricritical points. The different phases are characterized by different behavior of the copolymer inside the four neighboring pairs of blocks.
math.PR
in this paper we review some recent results obtained jointly with stu whittington for a mathematical model describing a copolymer in an emulsion the copolymer consists of hydrophobic and hydrophilic monomers concatenated randomly with equal density the emulsion consists of large blocks of oil and water arranged in a percolationtype fashion to make the model mathematically tractable the copolymer is allowed to enter and exit a neighboring pair of blocks only at diagonally opposite corners the energy of the copolymer in the emulsion is minus alpha times the number of hydrophobic monomers in oil minus beta times the number of hydrophilic monomers in water without loss of generality we may assume that the interaction parameters are restricted to the cone alphabetain mathbbr2colon betaleqalpha we show that the phase diagram has two regimes 1 in the supercritical regime where the oil blocks percolate there is a single critical curve in the cone separating a localized and a delocalized phase 2 in the subcritical regime where the oil blocks do not percolate there are three critical curves in the cone separating two localized phases and two delocalized phases and meeting at two tricritical points the different phases are characterized by different behavior of the copolymer inside the four neighboring pairs of blocks
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706.1877
Topological Zero-Thickness Cosmic Strings
In this paper, based on the gauge potential decomposition and the $\phi-$mapping theories, we study the topological structures and properties of the cosmic strings that arise in the Abelian-Higgs gauge theory in the zero-thickness limit. After a detailed discussion, we conclude that the topological tensor current introduced in our model is a better and more basic starting point than the generally used Nambu-Goto effective action for studying cosmic strings.
hep-th
in this paper based on the gauge potential decomposition and the phimapping theories we study the topological structures and properties of the cosmic strings that arise in the abelianhiggs gauge theory in the zerothickness limit after a detailed discussion we conclude that the topological tensor current introduced in our model is a better and more basic starting point than the generally used nambugoto effective action for studying cosmic strings
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706.1878
Spectral density of phase noise inter-laboratory comparison final results
This paper reports main results of the phase noise comparison that has been performed between october 2005 and december 2006, using two oscillators at 5 and 100 MHz and un DRO at 3.5 GHz. The problem is not to compare the performances of several oscillators, but to compare and to make an evaluation of the uncertainties, and of course the resolution and the reproducibility of the measurements. This comparison allow us to determine the ability to get various systems traceable together in order to increase the trust that one can have in phase noise measurements.
physics.ins-det
this paper reports main results of the phase noise comparison that has been performed between october 2005 and december 2006 using two oscillators at 5 and 100 mhz and un dro at 35 ghz the problem is not to compare the performances of several oscillators but to compare and to make an evaluation of the uncertainties and of course the resolution and the reproducibility of the measurements this comparison allow us to determine the ability to get various systems traceable together in order to increase the trust that one can have in phase noise measurements
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706.1879
Homotopy classes of total foliations and bi-contact structures on three-manifolds
On every compact and orientable three-manifold, we construct total foliations (three codimension 1 foliations that are transverse at every point). This construction can be performed on any homotopy class of plane fields with vanishing Euler class. As a corollary we obtain similar results on bi-contact structures.
math.GT
on every compact and orientable threemanifold we construct total foliations three codimension 1 foliations that are transverse at every point this construction can be performed on any homotopy class of plane fields with vanishing euler class as a corollary we obtain similar results on bicontact structures
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706.188
Multiplicities and $J/\psi$ suppression at LHC energies
We present our predictions on multiplicities and $J/\psi$ suppression at LHC energies. Our results take into account shadowing effects in the initial state and final state interactions with the hot medium. We obtain 1800 charged particles at LHC and the $J/\psi$ suppression increases by a factor 5 to 6 compared to RHIC.
hep-ph
we present our predictions on multiplicities and jpsi suppression at lhc energies our results take into account shadowing effects in the initial state and final state interactions with the hot medium we obtain 1800 charged particles at lhc and the jpsi suppression increases by a factor 5 to 6 compared to rhic
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706.1881
Magnetic excitations in the spin-trimer compounds Ca3Cu3-xNix(PO4)4 (x=0,1,2)
Inelastic neutron scattering experiments were performed for the spin-trimer compounds Ca3Cu3-xNix(PO4)4 (x=0,1,2) in order to study the dynamic magnetic properties. The observed excitations can be associated with transitions between the low-lying electronic states of linear Cu-Cu-Cu, Cu-Cu-Ni, and Ni-Cu-Ni trimers which are the basic constituents of the title compounds. The exchange interactions within the trimers are well described by the Heisenberg model with dominant antiferromagnetic nearest-neighbor interactions J. For x=0 we find JCu-Cu=-4.74(2) meV which is enhanced for x=1 to JCu-Cu=-4.92(6) meV. For x=1 and x=2 we find JCu-Ni=-0.85(10) meV and an axial single-ion anisotropy parameter DNi=-0.7(1) meV. While the x=0 and x=1 compounds do not exhibit long-range magnetic ordering down to 1 K, the x=2 compound shows antiferromagnetic ordering below TN=20 K, which is compatible with the molecular-field parameter 0.63(12) meV derived by neutron spectroscopy.
cond-mat.other
inelastic neutron scattering experiments were performed for the spintrimer compounds ca3cu3xnixpo44 x012 in order to study the dynamic magnetic properties the observed excitations can be associated with transitions between the lowlying electronic states of linear cucucu cucuni and nicuni trimers which are the basic constituents of the title compounds the exchange interactions within the trimers are well described by the heisenberg model with dominant antiferromagnetic nearestneighbor interactions j for x0 we find jcucu4742 mev which is enhanced for x1 to jcucu4926 mev for x1 and x2 we find jcuni08510 mev and an axial singleion anisotropy parameter dni071 mev while the x0 and x1 compounds do not exhibit longrange magnetic ordering down to 1 k the x2 compound shows antiferromagnetic ordering below tn20 k which is compatible with the molecularfield parameter 06312 mev derived by neutron spectroscopy
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706.1882
Magnetodielectric effect and optic soft mode behaviour in quantum paraelectric EuTiO3 ceramics
Infrared reflectivity and time-domain terahertz transmission spectra of EuTiO3 ceramics revealed a polar optic phonon at 6 - 300K, whose softening is fully responsible for the recently observed quantum paraelectric behaviour. Even if our EuTiO3 ceramics show lower permittivity than the single crystal due to a reduced density and/or small amount of secondary pyrochlore Eu2Ti2O7 phase, we confirmed the magnetic field dependence of the permittivity, also slightly smaller than in single crystal. Attempt to reveal the soft phonon dependence at 1.8K on the magnetic field up to 13T remained below the accuracy of our infrared reflectivity experiment.
cond-mat.mtrl-sci
infrared reflectivity and timedomain terahertz transmission spectra of eutio3 ceramics revealed a polar optic phonon at 6 300k whose softening is fully responsible for the recently observed quantum paraelectric behaviour even if our eutio3 ceramics show lower permittivity than the single crystal due to a reduced density andor small amount of secondary pyrochlore eu2ti2o7 phase we confirmed the magnetic field dependence of the permittivity also slightly smaller than in single crystal attempt to reveal the soft phonon dependence at 18k on the magnetic field up to 13t remained below the accuracy of our infrared reflectivity experiment
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706.1883
Slave boson theory of the extended Falicov-Kimball model
The extended Falicov-Kimball model, with both an on-site hybridization potential and dispersive narrow band, is examined within the saddle-point approximation to the Kotliar-Ruckenstein slave boson theory. We first set the hybridization potential to zero and find that the phase diagram depends strongly upon the orbital structure: for degenerate orbitals, a correlated-insulating state is found at sufficiently strong interaction strengths, whereas a finite orbital energy difference can lead to discontinuous valence transitions. The obtained phase diagram is very sensitive to the presence of a finite hybridization potential. As in Hartree-Fock theory, we find an enhancement of the hybridization by the inter-orbital Coulomb repulsion. The more precise treatment of correlation effects, however, leads to large deviations from the Hartree-Fock results. In the limit of vanishing hybridization an excitonic insulator state is only found when the orbitals are degenerate, which restricts this phase to a much smaller parameter space than in other available mean-field theories.
cond-mat.str-el
the extended falicovkimball model with both an onsite hybridization potential and dispersive narrow band is examined within the saddlepoint approximation to the kotliarruckenstein slave boson theory we first set the hybridization potential to zero and find that the phase diagram depends strongly upon the orbital structure for degenerate orbitals a correlatedinsulating state is found at sufficiently strong interaction strengths whereas a finite orbital energy difference can lead to discontinuous valence transitions the obtained phase diagram is very sensitive to the presence of a finite hybridization potential as in hartreefock theory we find an enhancement of the hybridization by the interorbital coulomb repulsion the more precise treatment of correlation effects however leads to large deviations from the hartreefock results in the limit of vanishing hybridization an excitonic insulator state is only found when the orbitals are degenerate which restricts this phase to a much smaller parameter space than in other available meanfield theories
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706.1884
Mapping of spin lifetimes to electronic states in n-type GaAs near the metal-insulator transition
The longest spin lifetimes in bulk n-GaAs exceed 100 ns for doping concentrations near the metal-insulator transition (J.M. Kikkawa, D.D. Awschalom, Phys. Rev. Lett. 80, 4313 (1998)). The respective electronic states have yet not been identified. We therefore investigate the energy dependence of spin lifetimes in n-GaAs by time-resolved Kerr rotation. Spin lifetimes vary by three orders of magnitude as a function of energy when occupying donor and conduction band states. The longest spin lifetimes (>100 ns) are assigned to delocalized donor band states, while conduction band states exhibit shorter spin lifetimes. The occupation of localized donor band states is identified by short spin lifetimes (~300 ps) and a distinct Overhauser shift due to dynamic nuclear polarization.
cond-mat.mtrl-sci
the longest spin lifetimes in bulk ngaas exceed 100 ns for doping concentrations near the metalinsulator transition jm kikkawa dd awschalom phys rev lett 80 4313 1998 the respective electronic states have yet not been identified we therefore investigate the energy dependence of spin lifetimes in ngaas by timeresolved kerr rotation spin lifetimes vary by three orders of magnitude as a function of energy when occupying donor and conduction band states the longest spin lifetimes 100 ns are assigned to delocalized donor band states while conduction band states exhibit shorter spin lifetimes the occupation of localized donor band states is identified by short spin lifetimes 300 ps and a distinct overhauser shift due to dynamic nuclear polarization
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706.1885
The impact of accretion disk winds on the X-ray spectrum of AGN: Part 1 - XSCORT
(abridged) The accretion disk in AGN is expected to produce strong outflows, in particular a UV-line driven wind. Despite providing a good fit to the data, current spectral models of the X-ray spectrum of AGN observed through an accretion disk wind are ad-hoc in their treatment of the properties of the wind material. In order to address these limitations we adopt a numerical computation method that links a series of radiative transfer calculations, incorporating the effect of a global velocity field in a self-consistent manner (XSCORT). We present a series of example spectra from the XSCORT code that allow us to examine the shape of AGN X-ray spectra seen through a wind, for a range of velocity and density distributions, total column densities and initial ionization parameters. These detailed spectral models clearly show considerable complexity and structure that is strongly affected by all these factors. The presence of sharp features in the XSCORT spectra contrasts strongly with both the previous models and with the smooth nature of the observed X-ray spectra of AGN with soft X-ray excesses, demonstrating that accretion disk winds are unlikely to be the origin of this mysterious spectral feature. The most significant parameter affecting the presence of the sharp features in the models is the terminal velocity of the wind. Increasing the terminal velocity of the absorbing material to ~c, and hence dramatically increasing the velocity dispersion across the wind, could potentially remove these features resulting in a spectrum similar to the previous models. Such a fast moving outflow cannot be associated with a radiatively driven accretion disk wind, however the presence of a highly relativistic jet may provide an origin for such material.
astro-ph
abridged the accretion disk in agn is expected to produce strong outflows in particular a uvline driven wind despite providing a good fit to the data current spectral models of the xray spectrum of agn observed through an accretion disk wind are adhoc in their treatment of the properties of the wind material in order to address these limitations we adopt a numerical computation method that links a series of radiative transfer calculations incorporating the effect of a global velocity field in a selfconsistent manner xscort we present a series of example spectra from the xscort code that allow us to examine the shape of agn xray spectra seen through a wind for a range of velocity and density distributions total column densities and initial ionization parameters these detailed spectral models clearly show considerable complexity and structure that is strongly affected by all these factors the presence of sharp features in the xscort spectra contrasts strongly with both the previous models and with the smooth nature of the observed xray spectra of agn with soft xray excesses demonstrating that accretion disk winds are unlikely to be the origin of this mysterious spectral feature the most significant parameter affecting the presence of the sharp features in the models is the terminal velocity of the wind increasing the terminal velocity of the absorbing material to c and hence dramatically increasing the velocity dispersion across the wind could potentially remove these features resulting in a spectrum similar to the previous models such a fast moving outflow cannot be associated with a radiatively driven accretion disk wind however the presence of a highly relativistic jet may provide an origin for such material
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706.1886
On Transformation of Potapov's Fundamental Matrix Inequality
According to V.P.Potapov, a classical interpolation problem can be reformulated in terms of a so-called Fundamental Matrix Inequality (FMI). To show that every solution of the FMI satisfies the interpolation problem, we usualy have to transform the FMI in some special way. In this paper the number of of transformations of the FMI which come into play are motivated and demonstrated by simple, but typical examples.
math.CA
according to vppotapov a classical interpolation problem can be reformulated in terms of a socalled fundamental matrix inequality fmi to show that every solution of the fmi satisfies the interpolation problem we usualy have to transform the fmi in some special way in this paper the number of of transformations of the fmi which come into play are motivated and demonstrated by simple but typical examples
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706.1887
Configuration Space Methods and Time Ordering for Scalar Propagators in (Anti and) de Sitter Spacetimes
In this master thesis a configuration space method presented by C. Dullemond and E. van Beveren for computing all propagators of a scalar field (Wightman, Hadamard and Schwinger functions,retarded, advanced and Feynman propagator) is reviewed for four-dimensional Minkowski and Anti de Sitter spacetime AdS_4. This method is then applied for AdS_d as well as de Sitter spacetime dS_d of arbitrary dimension d, obtaining results in agreement with the literature. The advantages of the method are that it needs neither mode summation nor analytic continuation from euclidean time, while delivering the propagators above including (i-epsilon)-prescription, plus as a nice bonus the conformal dimension of a corresponding CFT field. General properties of the considered spacetimes (namely various coordinate systems and their metrics, chordal distances, relations between conformal dimensions \Delta and the mass m of the scalar field, geodesics and the invariance of time ordering) are also examined and compiled from various sources, providing an overview of geometrical properties of AdS and dS spacetimes.
hep-th
in this master thesis a configuration space method presented by c dullemond and e van beveren for computing all propagators of a scalar field wightman hadamard and schwinger functionsretarded advanced and feynman propagator is reviewed for fourdimensional minkowski and anti de sitter spacetime ads_4 this method is then applied for ads_d as well as de sitter spacetime ds_d of arbitrary dimension d obtaining results in agreement with the literature the advantages of the method are that it needs neither mode summation nor analytic continuation from euclidean time while delivering the propagators above including iepsilonprescription plus as a nice bonus the conformal dimension of a corresponding cft field general properties of the considered spacetimes namely various coordinate systems and their metrics chordal distances relations between conformal dimensions delta and the mass m of the scalar field geodesics and the invariance of time ordering are also examined and compiled from various sources providing an overview of geometrical properties of ads and ds spacetimes
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706.1888
Minimum Electrical and Thermal Conductivity of Graphene: A Quasiclassical Approach
We investigate the minimum conductivity of graphene within a quasiclassical approach taking into account electron-hole coherence effects which stem from the chiral nature of low energy excitations. Relying on an analytical solution of the kinetic equation in the electron-hole coherent and incoherent cases we study both the electrical and thermal conductivity whose relation fullfills Wiedemann-Franz law. We found that the most of the previous findings based on the Boltzmann equation are restricted to only high mobility samples where electron-hole coherence effects are not sufficient.
cond-mat.mes-hall cond-mat.mtrl-sci
we investigate the minimum conductivity of graphene within a quasiclassical approach taking into account electronhole coherence effects which stem from the chiral nature of low energy excitations relying on an analytical solution of the kinetic equation in the electronhole coherent and incoherent cases we study both the electrical and thermal conductivity whose relation fullfills wiedemannfranz law we found that the most of the previous findings based on the boltzmann equation are restricted to only high mobility samples where electronhole coherence effects are not sufficient
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706.1889
Super stellar clusters with a bimodal hydrodynamic solution: an Approximate Analytic Approach
We look for a simple analytic model to distinguish between stellar clusters undergoing a bimodal hydrodynamic solution from those able to drive only a stationary wind. Clusters in the bimodal regime undergo strong radiative cooling within their densest inner regions, which results in the accumulation of the matter injected by supernovae and stellar winds and eventually in the formation of further stellar generations, while their outer regions sustain a stationary wind. The analytic formulae are derived from the basic hydrodynamic equations. Our main assumption, that the density at the star cluster surface scales almost linearly with that at the stagnation radius, is based on results from semi-analytic and full numerical calculations. The analytic formulation allows for the determination of the threshold mechanical luminosity that separates clusters evolving in either of the two solutions. It is possible to fix the stagnation radius by simple analytic expressions and thus to determine the fractions of the deposited matter that clusters evolving in the bimodal regime blow out as a wind or recycle into further stellar generations.
astro-ph
we look for a simple analytic model to distinguish between stellar clusters undergoing a bimodal hydrodynamic solution from those able to drive only a stationary wind clusters in the bimodal regime undergo strong radiative cooling within their densest inner regions which results in the accumulation of the matter injected by supernovae and stellar winds and eventually in the formation of further stellar generations while their outer regions sustain a stationary wind the analytic formulae are derived from the basic hydrodynamic equations our main assumption that the density at the star cluster surface scales almost linearly with that at the stagnation radius is based on results from semianalytic and full numerical calculations the analytic formulation allows for the determination of the threshold mechanical luminosity that separates clusters evolving in either of the two solutions it is possible to fix the stagnation radius by simple analytic expressions and thus to determine the fractions of the deposited matter that clusters evolving in the bimodal regime blow out as a wind or recycle into further stellar generations
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706.189
Determinant solution for the Totally Asymmetric Exclusion Process with parallel update II. Ring geometry
Using the Bethe ansatz we obtain the determinant expression for the time dependent transition probabilities in the totally asymmetric exclusion process with parallel update on a ring. Developing a method of summation over the roots of Bethe equations based on the multidimensional analogue of the Cauchy residue theorem, we construct the resolution of the identity operator, which allows us to calculate the matrix elements of the evolution operator and its powers. Representation of results in the form of an infinite series elucidates connection to other results obtained for the ring geometry. As a byproduct we also obtain the generating function of the joint probability distribution of particle configurations and the total distance traveled by the particles.
cond-mat.stat-mech math-ph math.MP
using the bethe ansatz we obtain the determinant expression for the time dependent transition probabilities in the totally asymmetric exclusion process with parallel update on a ring developing a method of summation over the roots of bethe equations based on the multidimensional analogue of the cauchy residue theorem we construct the resolution of the identity operator which allows us to calculate the matrix elements of the evolution operator and its powers representation of results in the form of an infinite series elucidates connection to other results obtained for the ring geometry as a byproduct we also obtain the generating function of the joint probability distribution of particle configurations and the total distance traveled by the particles
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706.1891
Inhomogeneous extragalactic magnetic fields and the second knee in the cosmic ray spectrum
Various experiments indicate the existence of a second knee around energy E=3.10^{17} eV in the cosmic ray spectrum. This feature could be the signature of the end of the galactic component and of the emergence of the extragalactic one, provided that the latter cuts off at low energies. Recent analytical calculations have shown that this cut-off could be a consequence of the existence of extragalactic magnetic fields: low energy protons diffuse on extragalactic magnetic fields and cannot reach the observer within a given time. We study the influence of inhomogeneous magnetic fields on the magnetic horizon, using a new semi-analytical propagation code. Our results indicate that, at a fixed value of the volume averaged magnetic field <B>, the amplitude of the low energy cut-off is mainly controled by the strength of magnetic fields in the voids of the large scale structure distribution.
astro-ph
various experiments indicate the existence of a second knee around energy e31017 ev in the cosmic ray spectrum this feature could be the signature of the end of the galactic component and of the emergence of the extragalactic one provided that the latter cuts off at low energies recent analytical calculations have shown that this cutoff could be a consequence of the existence of extragalactic magnetic fields low energy protons diffuse on extragalactic magnetic fields and cannot reach the observer within a given time we study the influence of inhomogeneous magnetic fields on the magnetic horizon using a new semianalytical propagation code our results indicate that at a fixed value of the volume averaged magnetic field b the amplitude of the low energy cutoff is mainly controled by the strength of magnetic fields in the voids of the large scale structure distribution
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706.1892
Unambiguous coherent state identification: Searching a quantum database
We consider an unambiguous identification of an unknown coherent state with one of two unknown coherent reference states. Specifically, we consider two modes of an electromagnetic field prepared in unknown coherent states alpha_1 and alpha_2, respectively. The third mode is prepared either in the state alpha_1 or in the state alpha_2. The task is to identify (unambiguously) which of the two modes are in the same state. We present a scheme consisting of three beamsplitters capable to perform this task. Although we don't prove the optimality, we show that the performance of the proposed setup is better than the generalization of the optimal measurement known for a finite-dimensional case. We show that a single beamsplitter is capable to perform an unambiguous quantum state comparison for coherent states optimally. Finally we propose an experimental setup consisting of 2N-1 beamsplitters for unambiguous identification among N unknown coherent states. This setup can be considered as a search in a quantum database. The elements of the database are unknown coherent states encoded in different modes of an electromagnetic field. The task is to specify the two modes that are excited in the same, though unknown, coherent state.
quant-ph
we consider an unambiguous identification of an unknown coherent state with one of two unknown coherent reference states specifically we consider two modes of an electromagnetic field prepared in unknown coherent states alpha_1 and alpha_2 respectively the third mode is prepared either in the state alpha_1 or in the state alpha_2 the task is to identify unambiguously which of the two modes are in the same state we present a scheme consisting of three beamsplitters capable to perform this task although we dont prove the optimality we show that the performance of the proposed setup is better than the generalization of the optimal measurement known for a finitedimensional case we show that a single beamsplitter is capable to perform an unambiguous quantum state comparison for coherent states optimally finally we propose an experimental setup consisting of 2n1 beamsplitters for unambiguous identification among n unknown coherent states this setup can be considered as a search in a quantum database the elements of the database are unknown coherent states encoded in different modes of an electromagnetic field the task is to specify the two modes that are excited in the same though unknown coherent state
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706.1893
Stability and Negative Tensions in 6D Brane Worlds
We investigate the dynamical stability of warped, axially symmetric compactifications in anomaly free 6D gauged supergravity. The solutions have conical defects, which we source by 3-branes placed on orbifold fixed points, and a smooth limit to the classic sphere-monopole compactification. Like for the sphere, the extra fields that are generically required by anomaly freedom are especially relevant for stability. With positive tension branes only, there is a strict stability criterion (identical to the sphere case) on the charges present under the monopole background. Thus brane world models with positive tensions can be embedded into anomaly free theories in only a few ways. Meanwhile, surprisingly, in the presence of a negative tension brane the stability criteria can be relaxed. We also describe in detail the geometries induced by negative tension codimension two branes.
hep-th
we investigate the dynamical stability of warped axially symmetric compactifications in anomaly free 6d gauged supergravity the solutions have conical defects which we source by 3branes placed on orbifold fixed points and a smooth limit to the classic spheremonopole compactification like for the sphere the extra fields that are generically required by anomaly freedom are especially relevant for stability with positive tension branes only there is a strict stability criterion identical to the sphere case on the charges present under the monopole background thus brane world models with positive tensions can be embedded into anomaly free theories in only a few ways meanwhile surprisingly in the presence of a negative tension brane the stability criteria can be relaxed we also describe in detail the geometries induced by negative tension codimension two branes
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706.1894
How to find sterile neutrinos ?
We describe an extention of the Standard Model (the $\nu$MSM) by three light singlet Majorana fermions -- sterile neutrinos, which allows to address simultaneously the problem of neutrino oscillations and the problems of dark matter and baryon asymmetry of the Universe. We discuss the ways these new particles can be searched for in astrophysical, laboratory, and accelerator experiments.
hep-ph
we describe an extention of the standard model the numsm by three light singlet majorana fermions sterile neutrinos which allows to address simultaneously the problem of neutrino oscillations and the problems of dark matter and baryon asymmetry of the universe we discuss the ways these new particles can be searched for in astrophysical laboratory and accelerator experiments
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706.1895
Thermal noise influences fluid flow in thin films during spinodal dewetting
Experiments on dewetting thin polymer films confirm the theoretical prediction that thermal noise can strongly influence characteristic time-scales of fluid flow and cause coarsening of typical length scales. Comparing the experiments with deterministic simulations, we show that the Navier-Stokes equation has to be extended by a conserved bulk noise term to accomplish the observed spectrum of capillary waves. Due to thermal fluctuations the spectrum changes from an exponential to a power law decay for large wavevectors. Also the time evolution of the typical wavevector of unstable perturbations exhibits noise induced coarsening that is absent in deterministic hydrodynamic flow.
cond-mat.soft cond-mat.stat-mech
experiments on dewetting thin polymer films confirm the theoretical prediction that thermal noise can strongly influence characteristic timescales of fluid flow and cause coarsening of typical length scales comparing the experiments with deterministic simulations we show that the navierstokes equation has to be extended by a conserved bulk noise term to accomplish the observed spectrum of capillary waves due to thermal fluctuations the spectrum changes from an exponential to a power law decay for large wavevectors also the time evolution of the typical wavevector of unstable perturbations exhibits noise induced coarsening that is absent in deterministic hydrodynamic flow
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706.1896
An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
The algebraic structure of V.P. Potapov's Fundamental Matrix Inequality (FMI) is discussed and its interpolation meaning is analyzed. Functional model spaces are involved. A general Abstract Interpolation Problem is formulated which seems to cover all the classical and recent problems in the field and the solution set of this problem is described using the Arov--Grossman formula. The extension theory of isometric operators is the proper language for treating interpolation problems of this type.
math.FA
the algebraic structure of vp potapovs fundamental matrix inequality fmi is discussed and its interpolation meaning is analyzed functional model spaces are involved a general abstract interpolation problem is formulated which seems to cover all the classical and recent problems in the field and the solution set of this problem is described using the arovgrossman formula the extension theory of isometric operators is the proper language for treating interpolation problems of this type
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706.1897
Non-local correlations in metals close to a charge order insulator transition
The charge ordering transition induced by the nearest-neighbor Coulomb repulsion, V, in the 1/4-filled extended Hubbard model is investigated using Cellular Dynamical Mean-Field Theory. We find a transition to a strongly renormalized charge ordered Fermi liquid at VCO and a metal-to-insulator transition at VMI>VCO. Short range antiferromagnetism occurs concomitanly with the CO transition. Approaching the charge ordered insulator the Fermi surface deforms and the scattering rate of electrons develops momentum dependence on the Fermi surface.
cond-mat.str-el
the charge ordering transition induced by the nearestneighbor coulomb repulsion v in the 14filled extended hubbard model is investigated using cellular dynamical meanfield theory we find a transition to a strongly renormalized charge ordered fermi liquid at vco and a metaltoinsulator transition at vmivco short range antiferromagnetism occurs concomitanly with the co transition approaching the charge ordered insulator the fermi surface deforms and the scattering rate of electrons develops momentum dependence on the fermi surface
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706.1898
Search for a Standard Model Higgs Boson in CMS via Vector Boson Fusion in the H->WW->l\nu l\nu Channel
We present the potential for discovering the Standard Model Higgs boson produced by the vector-boson fusion mechanism. We considered the decay of Higgs bosons into the W+W- final state, with both W-bosons subsequently decaying leptonically. The main background is ttbar with one or more jets produced. This study is based on a full simulation of the CMS detector, and up-to-date reconstruction codes. The result is that a signal of 5 sigma significance can be obtained with an integrated luminosity of 12-72 1/fb for Higgs boson masses between 130-200 GeV. In addition, the major background can be measured directly to 7% from the data with an integrated luminosity of 30 1/fb. In this study, we also suggested a method to obtain information in Higgs mass using the transverse mass distributions.
hep-ex
we present the potential for discovering the standard model higgs boson produced by the vectorboson fusion mechanism we considered the decay of higgs bosons into the ww final state with both wbosons subsequently decaying leptonically the main background is ttbar with one or more jets produced this study is based on a full simulation of the cms detector and uptodate reconstruction codes the result is that a signal of 5 sigma significance can be obtained with an integrated luminosity of 1272 1fb for higgs boson masses between 130200 gev in addition the major background can be measured directly to 7 from the data with an integrated luminosity of 30 1fb in this study we also suggested a method to obtain information in higgs mass using the transverse mass distributions
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706.1899
Spacetime Lagrangian Formulation of Barbero-Immirzi Gravity
We shall here discuss a new spacetime gauge-covariant Lagrangian formulation of General Relativity by means of the Barbero-Immirzi SU(2)-connection on spacetime. To the best of our knowledge the Lagrangian based on SU(2) spacetime fields seems to appear here for the first time.
gr-qc
we shall here discuss a new spacetime gaugecovariant lagrangian formulation of general relativity by means of the barberoimmirzi su2connection on spacetime to the best of our knowledge the lagrangian based on su2 spacetime fields seems to appear here for the first time
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706.19
Astrometry with "Carte du Ciel" plates, San Fernando zone. I. Digitization and measurement using a flatbed scanner
We present an original method of digitizing and astrometrically reducing "Carte du Ciel" plate material using an inexpensive flatbed scanner, to demonstrate that for this material there is an alternative to more specialized measuring machines that are very few in number and thus not readily available. The sample of plates chosen to develop this method are original "Carte du Ciel" plates of the San Fernando zone, photographic material with a mean epoch 1903.6, and a limiting photographic magnitude ~14.5, covering the declination range of -10 < dec < -2. Digitization has been made using a commercial flatbed scanner, demonstrating the internal precision that can be attained with such a device. A variety of post-scan corrections are shown to be necessary. In particular, the large distortion introduced by the non-uniform action of the scanner is modelled using multiple scans of each plate. We also tackle the specific problems associated with the triple-exposure images on some plates and the grid lines present on all. The final measures are reduced to celestial coordinates using the Tycho-2 Catalogue. The internal precision obtained over a single plate, 3microns ~ 0.18" in each axis, is comparable to what is realized with similar plate material using slower, less affordable, and less widely available conventional measuring machines, such as a PDS microdensitometer. The accuracy attained over large multi-plate areas, employing an overlapping plate technique, is estimated at 0.2".
astro-ph
we present an original method of digitizing and astrometrically reducing carte du ciel plate material using an inexpensive flatbed scanner to demonstrate that for this material there is an alternative to more specialized measuring machines that are very few in number and thus not readily available the sample of plates chosen to develop this method are original carte du ciel plates of the san fernando zone photographic material with a mean epoch 19036 and a limiting photographic magnitude 145 covering the declination range of 10 dec 2 digitization has been made using a commercial flatbed scanner demonstrating the internal precision that can be attained with such a device a variety of postscan corrections are shown to be necessary in particular the large distortion introduced by the nonuniform action of the scanner is modelled using multiple scans of each plate we also tackle the specific problems associated with the tripleexposure images on some plates and the grid lines present on all the final measures are reduced to celestial coordinates using the tycho2 catalogue the internal precision obtained over a single plate 3microns 018 in each axis is comparable to what is realized with similar plate material using slower less affordable and less widely available conventional measuring machines such as a pds microdensitometer the accuracy attained over large multiplate areas employing an overlapping plate technique is estimated at 02
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706.1901
On the Theory of Matrix Valued Functions Belonging to the Smirnov Class
A theory of matrix-valued functions from the matricial Smirnov class ${\goth N}_n^+({\Bbb D})$ is systematically developed. In particular, the maximum principle of V.I.Smirnov, inner-outer factorization, the Smirnov-Beurling characterization of outer functions and an analogue of Frostman's theorem are presented for matrix-valued functions from the Smirnov class ${\goth N}_n^+({\Bbb D})$. We also consider a family $F_{\lambda} =F-\lambda I$ of functions belonging to the matricial Smirnov class which is indexed by a complex parameter $\lambda$. We show that with the exception of a ''very small'' set of such $\lambda$ the corresponding inner factor in the inner-outer factorization of the function $F_{\lambda}$ is a Blaschke-Potapov product. The main goal of this paper is to provide users of analytic matrix-function theory with a standard source for references related to the matricial Smirnov class.
math.CA
a theory of matrixvalued functions from the matricial smirnov class goth n_nbbb d is systematically developed in particular the maximum principle of vismirnov innerouter factorization the smirnovbeurling characterization of outer functions and an analogue of frostmans theorem are presented for matrixvalued functions from the smirnov class goth n_nbbb d we also consider a family f_lambda flambda i of functions belonging to the matricial smirnov class which is indexed by a complex parameter lambda we show that with the exception of a very small set of such lambda the corresponding inner factor in the innerouter factorization of the function f_lambda is a blaschkepotapov product the main goal of this paper is to provide users of analytic matrixfunction theory with a standard source for references related to the matricial smirnov class
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706.1902
The Curvature of F_2^p(x, Q^2) as a Probe of Perturbative QCD Evolutions in the small-x Region
Perturbative NLO and NNLO QCD evolutions of parton distributions are studied, in particular in the (very) small-x region, where they are in very good agreement with all recent precision measurements of F_2^p(x,Q^2). These predictions turn out to be also rather insensitive to the specific choice of the factorization scheme (MS or DIS). A characteristic feature of perturbative QCD evolutions is a positive curvature of F_2^p which increases as x decreases. This perturbatively stable prediction provides a sensitive test of the range of validity of perturbative QCD.
hep-ph
perturbative nlo and nnlo qcd evolutions of parton distributions are studied in particular in the very smallx region where they are in very good agreement with all recent precision measurements of f_2pxq2 these predictions turn out to be also rather insensitive to the specific choice of the factorization scheme ms or dis a characteristic feature of perturbative qcd evolutions is a positive curvature of f_2p which increases as x decreases this perturbatively stable prediction provides a sensitive test of the range of validity of perturbative qcd
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706.1903
Ultra-cold atoms in an optical cavity: two-mode laser locking to the cavity avoiding radiation pressure
The combination of ultra-cold atomic clouds with the light fields of optical cavities provides a powerful model system for the development of new types of laser cooling and for studying cooperative phenomena. These experiments critically depend on the precise tuning of an incident pump laser with respect to a cavity resonance. Here, we present a simple and reliable experimental tuning scheme based on a two-mode laser spectrometer. The scheme uses a first laser for probing higher-order transversal modes of the cavity having an intensity minimum near the cavity's optical axis, where the atoms are confined by a magnetic trap. In this way the cavity resonance is observed without exposing the atoms to unwanted radiation pressure. A second laser, which is phase-locked to the first one and tuned close to a fundamental cavity mode drives the coherent atom-field dynamics.
physics.atom-ph physics.optics
the combination of ultracold atomic clouds with the light fields of optical cavities provides a powerful model system for the development of new types of laser cooling and for studying cooperative phenomena these experiments critically depend on the precise tuning of an incident pump laser with respect to a cavity resonance here we present a simple and reliable experimental tuning scheme based on a twomode laser spectrometer the scheme uses a first laser for probing higherorder transversal modes of the cavity having an intensity minimum near the cavitys optical axis where the atoms are confined by a magnetic trap in this way the cavity resonance is observed without exposing the atoms to unwanted radiation pressure a second laser which is phaselocked to the first one and tuned close to a fundamental cavity mode drives the coherent atomfield dynamics
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706.1904
Survival Probabilities for N-ary Subtrees on a Galton-Watson Family Tree
The family tree of a Galton-Watson branching process may contain N-ary subtrees, i.e. subtrees whose vertices have at least N>0 children. For family trees without infinite N-ary subtrees, we study how fast N-ary subtrees of height t disappear as t goes to infinity.
math.PR
the family tree of a galtonwatson branching process may contain nary subtrees ie subtrees whose vertices have at least n0 children for family trees without infinite nary subtrees we study how fast nary subtrees of height t disappear as t goes to infinity
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706.1905
Quantum dynamics of N-methylacetamide studied by the vibrational configuration interaction method
Vibrational energy transfer of the amide I mode of N-methylacetamide (NMA) is studied theoretically using the vibrational configuration interaction method. A quartic force field of NMA is constructed at the B3LYP/6-31G+(d) level of theory and its accuarcy is checked by comparing the resulting anharmonic frequencies with available theoretical and experimental values. Quantum dynamics calculations for the amide I mode excitation clarify the dominant energy transfer pathways, which sensitively depend on the anharmonic couplings among vibrational modes. A ratio of the anharmonic coupling to the frequency mismatch is employed to predict and interpret the dominant energy flow pathways.
q-bio.BM
vibrational energy transfer of the amide i mode of nmethylacetamide nma is studied theoretically using the vibrational configuration interaction method a quartic force field of nma is constructed at the b3lyp631gd level of theory and its accuarcy is checked by comparing the resulting anharmonic frequencies with available theoretical and experimental values quantum dynamics calculations for the amide i mode excitation clarify the dominant energy transfer pathways which sensitively depend on the anharmonic couplings among vibrational modes a ratio of the anharmonic coupling to the frequency mismatch is employed to predict and interpret the dominant energy flow pathways
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706.1906
Spatial correlations in the dynamics of glassforming liquids: Experimental determination of their temperature dependence
We use recently introduced three-point dynamic susceptibilities to obtain an experimental determination of the temperature evolution of the number of molecules, N_corr, that are dynamically correlated during the structural relaxation of supercooled liquids. We first discuss in detail the physical content of three-point functions that relate the sensitivity of the averaged two-time dynamics to external control parameters (such as temperature or density), as well as their connection to the more standard four-point dynamic susceptibility associated with dynamical heterogeneities. We then demonstrate that these functions can be experimentally determined with a good precision. We gather available data to obtain the temperature dependence of N_corr for a large number of supercooled liquids over a wide range of relaxation timescales from the glass transition up to the onset of slow dynamics. We find that N_corr systematically grows when approaching the glass transition. It does so in a modest manner close to the glass transition, which is consistent with an activation-based picture of the dynamics in glassforming materials. For higher temperatures, there appears to be a regime where N_corr behaves as a power-law of the relaxation time. Finally, we find that the dynamic response to density, while being smaller than the dynamic response to temperature, behaves similarly, in agreement with theoretical expectations.
cond-mat.stat-mech
we use recently introduced threepoint dynamic susceptibilities to obtain an experimental determination of the temperature evolution of the number of molecules n_corr that are dynamically correlated during the structural relaxation of supercooled liquids we first discuss in detail the physical content of threepoint functions that relate the sensitivity of the averaged twotime dynamics to external control parameters such as temperature or density as well as their connection to the more standard fourpoint dynamic susceptibility associated with dynamical heterogeneities we then demonstrate that these functions can be experimentally determined with a good precision we gather available data to obtain the temperature dependence of n_corr for a large number of supercooled liquids over a wide range of relaxation timescales from the glass transition up to the onset of slow dynamics we find that n_corr systematically grows when approaching the glass transition it does so in a modest manner close to the glass transition which is consistent with an activationbased picture of the dynamics in glassforming materials for higher temperatures there appears to be a regime where n_corr behaves as a powerlaw of the relaxation time finally we find that the dynamic response to density while being smaller than the dynamic response to temperature behaves similarly in agreement with theoretical expectations
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706.1907
Nagata's embedding theorem
In 1962-63, M. Nagata showed that an abstract variety could be embedded into a complete variety. Later, P. Deligne translated Nagata's proof into the language of schemes, but did not publish his notes. This paper, which is to appear as an appendix in a forthcoming book, gives an elaboration of Deligne's notes. It also contains some complementary results on extending divisors and vector sheaves to suitable completions.
math.AG
in 196263 m nagata showed that an abstract variety could be embedded into a complete variety later p deligne translated nagatas proof into the language of schemes but did not publish his notes this paper which is to appear as an appendix in a forthcoming book gives an elaboration of delignes notes it also contains some complementary results on extending divisors and vector sheaves to suitable completions
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706.1908
Computational investigations into the orgins of 'short term' biochemical memory in T cell activation
Recent studies have reported that T cells can integrate signals between interrupted encounters with Antigen Presenting Cells (APCs) in such a way that the process of signal integration exhibits a form of memory. Here, we carry out a computational study using a simple mathematical model of T cell activation to investigate the ramifications of interrupted T cell-APC contacts on signal integration. We consider several mechanisms of how signal integration at these time scales may be achieved and conclude that feedback control of immediate early gene products (IEGs) appears to be a highly plausible mechanism that allows for effective signal integration and cytokine production from multiple exposures to APCs. Analysis of these computer simulations provides an experimental roadmap involving several testable predictions.
q-bio.MN physics.bio-ph q-bio.CB q-bio.SC
recent studies have reported that t cells can integrate signals between interrupted encounters with antigen presenting cells apcs in such a way that the process of signal integration exhibits a form of memory here we carry out a computational study using a simple mathematical model of t cell activation to investigate the ramifications of interrupted t cellapc contacts on signal integration we consider several mechanisms of how signal integration at these time scales may be achieved and conclude that feedback control of immediate early gene products iegs appears to be a highly plausible mechanism that allows for effective signal integration and cytokine production from multiple exposures to apcs analysis of these computer simulations provides an experimental roadmap involving several testable predictions
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706.1909
Observations of X-rays and Thermal Dust Emission from the Supernova Remnant Kes 75
We present Spitzer Space Telescope and Chandra X-ray Observatory observations of the composite Galactic supernova remnant Kes 75 (G29.7-0.3). We use the detected flux at 24 microns and hot gas parameters from fitting spectra from new, deep X-ray observations to constrain models of dust emission, obtaining a dust-to-gas mass ratio M_dust/M_gas ~0.001. We find that a two-component thermal model, nominally representing shocked swept-up interstellar or circumstellar material and reverse-shocked ejecta, adequately fits the X-ray spectrum, albeit with somewhat high implied densities for both components. We surmise that this model implies a Wolf-Rayet progenitor for the remnant. We also present infrared flux upper limits for the central pulsar wind nebula.
astro-ph
we present spitzer space telescope and chandra xray observatory observations of the composite galactic supernova remnant kes 75 g29703 we use the detected flux at 24 microns and hot gas parameters from fitting spectra from new deep xray observations to constrain models of dust emission obtaining a dusttogas mass ratio m_dustm_gas 0001 we find that a twocomponent thermal model nominally representing shocked sweptup interstellar or circumstellar material and reverseshocked ejecta adequately fits the xray spectrum albeit with somewhat high implied densities for both components we surmise that this model implies a wolfrayet progenitor for the remnant we also present infrared flux upper limits for the central pulsar wind nebula
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706.191
Bispinor Formulation of Spin 3/2 Field Theory
In this paper, we investigate an alternative formulation for spin 3/2 field equation. First we will review equation of motion of Dirac and Maxwell, and then construct the equation for spin 3/2 in the similar fashion. Our method actually a generalization of relativistic equation of motion based on spin operator and Hamiltonian similar to Dirac and Maxwell equation in ref. [1] pp. 50. Furthermore, we could not bring the equation to the Klein Gordon limit for every wave function component in spin 3/2 formalism.
physics.gen-ph
in this paper we investigate an alternative formulation for spin 32 field equation first we will review equation of motion of dirac and maxwell and then construct the equation for spin 32 in the similar fashion our method actually a generalization of relativistic equation of motion based on spin operator and hamiltonian similar to dirac and maxwell equation in ref 1 pp 50 furthermore we could not bring the equation to the klein gordon limit for every wave function component in spin 32 formalism
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706.1911
Holographic formation of large area split-ring arrays for magnetic metamaterials
We theoretically demonstrate the formation of different kinds of two-dimensional split-ring arrays in both triangular and square lattices by one-step holographic interference. The slit width of the split-ring can be adjusted by proper polarization configurations. The dimension of the rings can be adjusted easily by using different wavelengths for interference, so the resonant frequency of the split-rings can be obtained in a wide range. Our theory is also proved in experiment. Our work would extend the application of holographic lithography to the fabrication of magnetic metamaterials.
physics.optics
we theoretically demonstrate the formation of different kinds of twodimensional splitring arrays in both triangular and square lattices by onestep holographic interference the slit width of the splitring can be adjusted by proper polarization configurations the dimension of the rings can be adjusted easily by using different wavelengths for interference so the resonant frequency of the splitrings can be obtained in a wide range our theory is also proved in experiment our work would extend the application of holographic lithography to the fabrication of magnetic metamaterials
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706.1912
Stellar Content and Recent Star Formation History of the Local Group Dwarf Irregular Galaxy IC1613
We present resolved-star VI photometry of the Local Group dwarf irregular galaxy IC1613 reaching I~23.5, obtained with the wide-field camera at the 2.5m Isaac Newton Telescope. A fit to the stellar density distribution shows an exponential profile of scale length 2.9' +/- 0.1 and gives a central surface brightness mu_V,0 = 22.7 +/- 0.6. The significant number of red giant branch (RGB) stars present in the outer part of our images (r > 16.5') indicates that the galaxy is actually more extended than previously estimated. A comparison of the color-magnitude diagrams (CMDs) as a function of galactocentric distance shows a clear gradient in the age of its population, the scale length increasing with age, while we find no evidence of a metallicity gradient from the width of the RGB. We present quantitative results of the recent star formation history from a synthetic CMD analysis using IAC-STAR. We find a mean star formation rate of (1.6 +/- 0.8) x 10^{-3} Mo/yr/kpc^2 in the central r < 2.5' for the last 300 Myr.
astro-ph
we present resolvedstar vi photometry of the local group dwarf irregular galaxy ic1613 reaching i235 obtained with the widefield camera at the 25m isaac newton telescope a fit to the stellar density distribution shows an exponential profile of scale length 29 01 and gives a central surface brightness mu_v0 227 06 the significant number of red giant branch rgb stars present in the outer part of our images r 165 indicates that the galaxy is actually more extended than previously estimated a comparison of the colormagnitude diagrams cmds as a function of galactocentric distance shows a clear gradient in the age of its population the scale length increasing with age while we find no evidence of a metallicity gradient from the width of the rgb we present quantitative results of the recent star formation history from a synthetic cmd analysis using iacstar we find a mean star formation rate of 16 08 x 103 moyrkpc2 in the central r 25 for the last 300 myr
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706.1913
Velocity Profiles in the Solar Corona from Multi-Instrument Observations
We present a method to derive outflow velocities in the solar corona using different data sets including solar wind mass flux coming from the SWAN/SOHO instrument, electron density values from LASCO-C2 and interplanetary solar wind velocities derived from ground-based Interplanetary Scintillation Observations (IPS). In a first step, we combine the LASCO electron densities at 6 solar radii and the IPS velocities, and compare the product to the SWAN mass fluxes. It is found that this product represents the actual mass flux at 6 solar radii for the fast wind, but not for the slow wind. In regions dominated by the slow wind, the fluxes derived from SWAN are systematically smaller. This is interpreted as a proof that the fast solar wind has reached its terminal velocity at about 6 solar radii and expands with constant velocity beyond this distance. On the contrary, the slow solar wind has reached only half of its terminal value and is thus accelerated further out. In a second step, we combine the LASCO-C2 density profiles and the SWAN flux data to derive velocity profiles in the corona between 2.5 and 6 solar radii. Such profiles can be used to test models of the acceleration mechanism of the fast solar wind.
astro-ph
we present a method to derive outflow velocities in the solar corona using different data sets including solar wind mass flux coming from the swansoho instrument electron density values from lascoc2 and interplanetary solar wind velocities derived from groundbased interplanetary scintillation observations ips in a first step we combine the lasco electron densities at 6 solar radii and the ips velocities and compare the product to the swan mass fluxes it is found that this product represents the actual mass flux at 6 solar radii for the fast wind but not for the slow wind in regions dominated by the slow wind the fluxes derived from swan are systematically smaller this is interpreted as a proof that the fast solar wind has reached its terminal velocity at about 6 solar radii and expands with constant velocity beyond this distance on the contrary the slow solar wind has reached only half of its terminal value and is thus accelerated further out in a second step we combine the lascoc2 density profiles and the swan flux data to derive velocity profiles in the corona between 25 and 6 solar radii such profiles can be used to test models of the acceleration mechanism of the fast solar wind
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