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709.3035
Detecting Higgs bosons in the bb decay channel using forward proton tagging at the LHC
A detailed study is presented of the search for Higgs bosons in the b-decay channel in the central exclusive production process at the LHC. We present results for proton tagging detectors at both 220m and 420m around ATLAS or CMS. We consider two benchmark scenarios; a Standard Model (SM) Higgs boson and the m_h^{max} scenario of the Minimal Supersymmetric Standard Model (MSSM). Detector acceptance, smearing and event trigger strategies are considered. We find that the SM Higgs will be challenging to observe in the b-jet channel without improvements to the currently proposed experimental configuration, but a neutral scalar MSSM Higgs Boson could be observable in the b-jet channel with a significance of 3 sigma or greater within three years of data taking at all luminosities between 2 x 10^{33} cm^{-2} s^{-1} and 10^{34} cm^{-2} s^{-1}, and at 5 sigma or greater after three years in certain scenarios.
hep-ph
a detailed study is presented of the search for higgs bosons in the bdecay channel in the central exclusive production process at the lhc we present results for proton tagging detectors at both 220m and 420m around atlas or cms we consider two benchmark scenarios a standard model sm higgs boson and the m_hmax scenario of the minimal supersymmetric standard model mssm detector acceptance smearing and event trigger strategies are considered we find that the sm higgs will be challenging to observe in the bjet channel without improvements to the currently proposed experimental configuration but a neutral scalar mssm higgs boson could be observable in the bjet channel with a significance of 3 sigma or greater within three years of data taking at all luminosities between 2 x 1033 cm2 s1 and 1034 cm2 s1 and at 5 sigma or greater after three years in certain scenarios
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709.3036
Modeling the consequences of tongue surgery on tongue mobility
This paper presents the current achievements of a long term project aiming at predicting and assessing the impact of tongue and mouth floor surgery on tongue mobility. The ultimate objective of this project is the design of a software with which surgeons should be able (1) to design a 3D biomechanical model of the tongue and of the mouth floor that matches the anatomical characteristics of each patient specific oral cavity, (2) to simulate the anatomical changes induced by the surgery and the possible reconstruction, and (3) to quantitatively predict and assess the consequences of these anatomical changes on tongue mobility and speech production after surgery.
physics.med-ph
this paper presents the current achievements of a long term project aiming at predicting and assessing the impact of tongue and mouth floor surgery on tongue mobility the ultimate objective of this project is the design of a software with which surgeons should be able 1 to design a 3d biomechanical model of the tongue and of the mouth floor that matches the anatomical characteristics of each patient specific oral cavity 2 to simulate the anatomical changes induced by the surgery and the possible reconstruction and 3 to quantitatively predict and assess the consequences of these anatomical changes on tongue mobility and speech production after surgery
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709.3037
Time-dependent density-functional theory for ultrafast interband excitations
We formulate a time-dependent density functional theory (TDDFT) in terms of the density matrix to study ultrafast phenomena in semiconductor structures. A system of equations for the density matrix components, which is equivalent to the time-dependent Kohn-Sham equation, is derived. From this we obtain a TDDFT version of the semiconductor Bloch equations, where the electronic many-body effects are taken into account in principle exactly. As an example, we study the optical response of a three-dimensional two-band insulator to an external short-time pulsed laser field. We show that the optical absorption spectrum acquires excitonic features when the exchange-correlation potential contains a $1/q^{2}$ Coulomb singularity. A qualitative comparison of the TDDFT optical absorption spectra with the corresponding results obtained within the Hartree-Fock approximation is made.
cond-mat.mes-hall
we formulate a timedependent density functional theory tddft in terms of the density matrix to study ultrafast phenomena in semiconductor structures a system of equations for the density matrix components which is equivalent to the timedependent kohnsham equation is derived from this we obtain a tddft version of the semiconductor bloch equations where the electronic manybody effects are taken into account in principle exactly as an example we study the optical response of a threedimensional twoband insulator to an external shorttime pulsed laser field we show that the optical absorption spectrum acquires excitonic features when the exchangecorrelation potential contains a 1q2 coulomb singularity a qualitative comparison of the tddft optical absorption spectra with the corresponding results obtained within the hartreefock approximation is made
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709.3038
Determination of nuclear parton distribution functions and their uncertainties at next-to-leading order
Nuclear parton distribution functions (NPDFs) are determined by global analyses of experimental data on structure-function ratios F_2^A/F_2^{A'} and Drell-Yan cross-section ratios \sigma_{DY}^A/\sigma_{DY}^{A'}. The analyses are done in the leading order (LO) and next-to-leading order (NLO) of running coupling constant \alpha_s. Uncertainties of the NPDFs are estimated in both LO and NLO for finding possible NLO improvement. Valence-quark distributions are well determined, and antiquark distributions are also determined at x<0.1. However, the antiquark distributions have large uncertainties at x>0.2. Gluon modifications cannot be fixed at this stage. Although the advantage of the NLO analysis, in comparison with the LO one, is generally the sensitivity to the gluon distributions, gluon uncertainties are almost the same in the LO and NLO. It is because current scaling-violation data are not accurate enough to determine precise nuclear gluon distributions. Modifications of the PDFs in the deuteron are also discussed by including data on the proton-deuteron ratio F_2^D/F_2^p in the analysis. A code is provided for calculating the NPDFs and their uncertainties at given x and Q^2 in the LO and NLO.
hep-ph hep-ex nucl-ex nucl-th
nuclear parton distribution functions npdfs are determined by global analyses of experimental data on structurefunction ratios f_2af_2a and drellyan crosssection ratios sigma_dyasigma_dya the analyses are done in the leading order lo and nexttoleading order nlo of running coupling constant alpha_s uncertainties of the npdfs are estimated in both lo and nlo for finding possible nlo improvement valencequark distributions are well determined and antiquark distributions are also determined at x01 however the antiquark distributions have large uncertainties at x02 gluon modifications cannot be fixed at this stage although the advantage of the nlo analysis in comparison with the lo one is generally the sensitivity to the gluon distributions gluon uncertainties are almost the same in the lo and nlo it is because current scalingviolation data are not accurate enough to determine precise nuclear gluon distributions modifications of the pdfs in the deuteron are also discussed by including data on the protondeuteron ratio f_2df_2p in the analysis a code is provided for calculating the npdfs and their uncertainties at given x and q2 in the lo and nlo
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709.3039
Random even graphs
We study a random even subgraph of a finite graph $G$ with a general edge-weight $p\in(0,1)$. We demonstrate how it may be obtained from a certain random-cluster measure on $G$, and we propose a sampling algorithm based on coupling from the past. A random even subgraph of a planar lattice undergoes a phase transition at the parameter-value $\frac 12 \pc$, where $\pc$ is the critical point of the $q=2$ random-cluster model on the dual lattice. The properties of such a graph are discussed, and are related to Schramm--L\"owner evolutions (SLE).
math.PR math-ph math.MP
we study a random even subgraph of a finite graph g with a general edgeweight pin01 we demonstrate how it may be obtained from a certain randomcluster measure on g and we propose a sampling algorithm based on coupling from the past a random even subgraph of a planar lattice undergoes a phase transition at the parametervalue frac 12 pc where pc is the critical point of the q2 randomcluster model on the dual lattice the properties of such a graph are discussed and are related to schrammlowner evolutions sle
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709.304
The Tate conjecture over finite fields (AIM talk)
These are my notes for a talk at the The Tate Conjecture workshop at the American Institute of Mathematics in Palo Alto, CA, July 23--July 27, 2007, somewhat revised and expanded. The intent of the talk was to review what is known and to suggest directions for research. v2: Revised expanded (24 pages).
math.AG math.NT
these are my notes for a talk at the the tate conjecture workshop at the american institute of mathematics in palo alto ca july 23july 27 2007 somewhat revised and expanded the intent of the talk was to review what is known and to suggest directions for research v2 revised expanded 24 pages
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709.3041
Supersymmetry breaking made easy, viable, and generic
The kind of supersymmetry that can be discovered at the LHC must be very much flavor-blind, which used to require very special intelligently designed models of supersymmetry breaking. This led to the pessimism for some in the community that it is not likely for the LHC to discover supersymmetry. I point out that this is not so, because a garden-variety supersymmetric theories actually can do this job.
hep-ph
the kind of supersymmetry that can be discovered at the lhc must be very much flavorblind which used to require very special intelligently designed models of supersymmetry breaking this led to the pessimism for some in the community that it is not likely for the lhc to discover supersymmetry i point out that this is not so because a gardenvariety supersymmetric theories actually can do this job
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709.3042
Computer aided planning and navigation for orbito-zygomatic reconstruction
This paper suggests a full protocol of Computer Aided Surgery as previously recommended in literature addressing the challenging task of primary or secondary reconstruction of orbito-zygomatic dislocation. First, on a specifically developed planning software, the best zygoma reduction and orbital boundaries reconstruction to achieve skeletal symmetry are determined. This treatment plan is then transferred to the 3D Navigation Systems within the operating room. After patient's anatomy registration to his preoperative CT scan data, the navigation system allows zygomatic guiding to its planned reduced location and bone orbital volume restoration control. The feasibility of this technique was checked in 3 patients with major orbito-zygomatic deformities. Preliminary clinical results are presented.
physics.med-ph
this paper suggests a full protocol of computer aided surgery as previously recommended in literature addressing the challenging task of primary or secondary reconstruction of orbitozygomatic dislocation first on a specifically developed planning software the best zygoma reduction and orbital boundaries reconstruction to achieve skeletal symmetry are determined this treatment plan is then transferred to the 3d navigation systems within the operating room after patients anatomy registration to his preoperative ct scan data the navigation system allows zygomatic guiding to its planned reduced location and bone orbital volume restoration control the feasibility of this technique was checked in 3 patients with major orbitozygomatic deformities preliminary clinical results are presented
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709.3043
Radiation from relativistic jets in blazars and the efficient dissipation of their bulk energy via photon breeding
High-energy photons propagating in the magnetised medium with large velocity gradients can mediate energy and momentum exchange. Conversion of these photons into electron-positron pairs in the field of soft photons with the consequent isotropization and emission of new high-energy photons by Compton scattering can lead to the runaway cascade of the high-energy photons and electron-positron pairs fed by the bulk energy of the flow. This is the essence of the photon breeding mechanism. We study the problem of high-energy emission of relativistic jets in blazars via photon breeding mechanism using 2D ballistic model for the jet with the detailed treatment of particle propagation and interactions. The gamma-ray background of similar energy density as observed at Earth is sufficient to trigger the photon breeding. As a result, a jet can convert up to 80 per cent of its total power into radiation. Photon breeding produces a population of high-energy pairs and predicts the spectra in agreement with observations of blazars (e.g. the blazar sequence). It also decelerates the jet at subparsec scales and induces the transversal gradient of the Lorentz factor which reconcile the discrepancy between the high Doppler factors determined from the spectra of TeV blazars and the low apparent velocities observed at VLBI scales. The broad angular distribution of radiation predicted by the mechanism reconciles the observed statistics and luminosity ratio of FR I and BL Lac objects with the large Lorentz factors of the jets as well as explains the high level of the TeV emission in the radio galaxy M87. (abridged)
astro-ph
highenergy photons propagating in the magnetised medium with large velocity gradients can mediate energy and momentum exchange conversion of these photons into electronpositron pairs in the field of soft photons with the consequent isotropization and emission of new highenergy photons by compton scattering can lead to the runaway cascade of the highenergy photons and electronpositron pairs fed by the bulk energy of the flow this is the essence of the photon breeding mechanism we study the problem of highenergy emission of relativistic jets in blazars via photon breeding mechanism using 2d ballistic model for the jet with the detailed treatment of particle propagation and interactions the gammaray background of similar energy density as observed at earth is sufficient to trigger the photon breeding as a result a jet can convert up to 80 per cent of its total power into radiation photon breeding produces a population of highenergy pairs and predicts the spectra in agreement with observations of blazars eg the blazar sequence it also decelerates the jet at subparsec scales and induces the transversal gradient of the lorentz factor which reconcile the discrepancy between the high doppler factors determined from the spectra of tev blazars and the low apparent velocities observed at vlbi scales the broad angular distribution of radiation predicted by the mechanism reconciles the observed statistics and luminosity ratio of fr i and bl lac objects with the large lorentz factors of the jets as well as explains the high level of the tev emission in the radio galaxy m87 abridged
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709.3044
Determinants of (generalised) Catalan numbers
We show that recent determinant evaluations involving Catalan numbers and generalisations thereof have most convenient explanations by combining the Lindstr\"om-Gessel-Viennot theorem on non-intersecting lattice paths with a simple determinant lemma from [Manuscripta Math. 69 (1990), 173-202]. This approach leads also naturally to extensions and generalisations.
math.CO
we show that recent determinant evaluations involving catalan numbers and generalisations thereof have most convenient explanations by combining the lindstromgesselviennot theorem on nonintersecting lattice paths with a simple determinant lemma from manuscripta math 69 1990 173202 this approach leads also naturally to extensions and generalisations
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709.3045
Network model of human language
The phenomenon of human language is widely studied from various points of view. It is interesting not only for social scientists, antropologists or philosophers, but also for those, interesting in the network dynamics. In several recent papers word web, or language as a graph has been investigated. In this paper I revise recent studies of syntactical word web. I present a model of growing network in which such processes as node addition, edge rewiring and new link creation are taken into account. I argue, that this model is a satisfactory minimal model explaining measured data.
physics.soc-ph physics.comp-ph
the phenomenon of human language is widely studied from various points of view it is interesting not only for social scientists antropologists or philosophers but also for those interesting in the network dynamics in several recent papers word web or language as a graph has been investigated in this paper i revise recent studies of syntactical word web i present a model of growing network in which such processes as node addition edge rewiring and new link creation are taken into account i argue that this model is a satisfactory minimal model explaining measured data
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709.3046
Modified perturbation theory for pair production and decay of fundamental unstable particles
We construct an asymptotic expansion in powers of the coupling constant directly of the cross-section for pair production and decay of fundamental unstable particles. The resonant and kinematic singularities arising in the expansion we treat in the sense of distributions. This mode allows us to transform formally divergent integrals into absolutely convergent ones with keeping the asymptotic property of the expansion. The appropriate procedure is elaborated up to an arbitrary order of the expansion. The peculiarity of application of the procedure in the threshold region is analysed. The scheme of the calculations within the NNLO approximation is explicitly discussed.
hep-ph hep-th
we construct an asymptotic expansion in powers of the coupling constant directly of the crosssection for pair production and decay of fundamental unstable particles the resonant and kinematic singularities arising in the expansion we treat in the sense of distributions this mode allows us to transform formally divergent integrals into absolutely convergent ones with keeping the asymptotic property of the expansion the appropriate procedure is elaborated up to an arbitrary order of the expansion the peculiarity of application of the procedure in the threshold region is analysed the scheme of the calculations within the nnlo approximation is explicitly discussed
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709.3047
NBursts: Simultaneous Extraction of Internal Kinematics and Parametrized SFH from Integrated Light Spectra
We present a novel approach for simultaneous extraction of stellar population parameters and internal kinematics from the spectra integrated along a line of sight. We fit a template spectrum into an observed one in a pixel space using a non-linear $\chi^2$ minimization in the multidimensional parameter space, including characteristics of the line-of-sight velocity distribution (LOSVD) and parametrized star formation history (SFH). Our technique has been applied to IFU and multi-object spectroscopy of low-luminosity early type galaxies.
astro-ph
we present a novel approach for simultaneous extraction of stellar population parameters and internal kinematics from the spectra integrated along a line of sight we fit a template spectrum into an observed one in a pixel space using a nonlinear chi2 minimization in the multidimensional parameter space including characteristics of the lineofsight velocity distribution losvd and parametrized star formation history sfh our technique has been applied to ifu and multiobject spectroscopy of lowluminosity early type galaxies
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709.3048
Recent results from the NA48 experiment at CERN: CP violation and CKM parameter Vus
Several recent results from the NA48 experiment are presented: a measurement $|\eta_{+-}|$, search for CP violating phenomena in $K^\pm\to3\pi$ decays, and a measurement of $|V_{us}|$.
hep-ex
several recent results from the na48 experiment are presented a measurement eta_ search for cp violating phenomena in kpmto3pi decays and a measurement of v_us
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709.3049
Epidemic Size in the Sis Model of Endemic Infec- Tions
We study the Susceptible-Infected-Susceptible model of the spread of an endemic infection. We calculate an exact expression for the mean number of transmissions for all values of the population and the infectivity. We derive the large-N asymptotic behavior for the infectivitiy below, above, and in the critical region. We obtain an analytical expression for the probability distribution of the number of transmissions, n, in the critical region. We show that this distribution has a $n^3/2$ singularity for small n and decays exponentially for large n. The exponent decreases with the distance from threshold, diverging to infinity far below and approaching zero far above.
q-bio.PE
we study the susceptibleinfectedsusceptible model of the spread of an endemic infection we calculate an exact expression for the mean number of transmissions for all values of the population and the infectivity we derive the largen asymptotic behavior for the infectivitiy below above and in the critical region we obtain an analytical expression for the probability distribution of the number of transmissions n in the critical region we show that this distribution has a n32 singularity for small n and decays exponentially for large n the exponent decreases with the distance from threshold diverging to infinity far below and approaching zero far above
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709.305
Coherent tunneling by adiabatic passage in an optical waveguide system
We report on the first experimental demonstration of light transfer in an engineered triple-well optical waveguide structure which provides a classic analogue of Coherent Tunnelling by Adiabatic Passage (CTAP) recently proposed for coherent transport in space of neutral atoms or electrons among tunneling-coupled optical traps or quantum wells [A.D. Greentree et al., Phys. Rev. B 70, 235317 (2004); K. Eckert et al., Phys. Rev. A 70, 023606 (2004)]. The direct visualization of CTAP wavepacket dynamics enabled by our simple optical system clearly shows that in the counterintuitive passage scheme light waves tunnel between the two outer wells without appreciable excitation of the middle well.
cond-mat.other cond-mat.mes-hall
we report on the first experimental demonstration of light transfer in an engineered triplewell optical waveguide structure which provides a classic analogue of coherent tunnelling by adiabatic passage ctap recently proposed for coherent transport in space of neutral atoms or electrons among tunnelingcoupled optical traps or quantum wells ad greentree et al phys rev b 70 235317 2004 k eckert et al phys rev a 70 023606 2004 the direct visualization of ctap wavepacket dynamics enabled by our simple optical system clearly shows that in the counterintuitive passage scheme light waves tunnel between the two outer wells without appreciable excitation of the middle well
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709.3051
Monte Carlo study of coaxially gated CNTFETs: capacitive effects and dynamic performance
Carbon Nanotube (CNT) appears as a promising candidate to shrink field-effect transistors (FET) to the nanometer scale. Extensive experimental works have been performed recently to develop the appropriate technology and to explore DC characteristics of carbon nanotube field effect transistor (CNTFET). In this work, we present results of Monte Carlo simulation of a coaxially gated CNTFET including electron-phonon scattering. Our purpose is to present the intrinsic transport properties of such material through the evaluation of electron mean-free-path. To highlight the potential of high performance level of CNTFET, we then perform a study of DC characteristics and of the impact of capacitive effects. Finally, we compare the performance of CNTFET with that of Si nanowire MOSFET.
cond-mat.other
carbon nanotube cnt appears as a promising candidate to shrink fieldeffect transistors fet to the nanometer scale extensive experimental works have been performed recently to develop the appropriate technology and to explore dc characteristics of carbon nanotube field effect transistor cntfet in this work we present results of monte carlo simulation of a coaxially gated cntfet including electronphonon scattering our purpose is to present the intrinsic transport properties of such material through the evaluation of electron meanfreepath to highlight the potential of high performance level of cntfet we then perform a study of dc characteristics and of the impact of capacitive effects finally we compare the performance of cntfet with that of si nanowire mosfet
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709.3052
Access to Stellar Population Models in the Virtual Observatory
A great effort is being made by the international Virtual Observatory community to build tools ready to be used by scientists. Presently, providing access to theoretical spectra in general, and synthetic spectra of galaxies in particular, is a matter of current interest in the Virtual Observatory. Several ways of accessing such spectra are available. We present two of them for accessing PEGASE.HR evolutionary synthesis models: HTTP-access to a limited number of parameters using Simple Spectral Access Protocol (SSAP), and full-featured WEB-service based access using Common Execution Architecture (CEA).
astro-ph
a great effort is being made by the international virtual observatory community to build tools ready to be used by scientists presently providing access to theoretical spectra in general and synthetic spectra of galaxies in particular is a matter of current interest in the virtual observatory several ways of accessing such spectra are available we present two of them for accessing pegasehr evolutionary synthesis models httpaccess to a limited number of parameters using simple spectral access protocol ssap and fullfeatured webservice based access using common execution architecture cea
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709.3053
Avalanche Photo-Detection for High Data Rate Applications
Avalanche photo detection is commonly used in applications which require single photon sensitivity. We examine the limits of using avalanche photo diodes (APD) for characterising photon statistics at high data rates. To identify the regime of linear APD operation we employ a ps-pulsed diode laser with variable repetition rates between 0.5MHz and 80MHz. We modify the mean optical power of the coherent pulses by applying different levels of well-calibrated attenuation. The linearity at high repetition rates is limited by the APD dead time and a non-linear response arises at higher photon-numbers due to multiphoton events. Assuming Poissonian input light statistics we ascertain the effective mean photon-number of the incident light with high accuracy. Time multiplexed detectors (TMD) allow to accomplish photon- number resolution by photon chopping. This detection setup extends the linear response function to higher photon-numbers and statistical methods may be used to compensate for non-linearity. We investigated this effect, compare it to the single APD case and show the validity of the convolution treatment in the TMD data analysis.
quant-ph
avalanche photo detection is commonly used in applications which require single photon sensitivity we examine the limits of using avalanche photo diodes apd for characterising photon statistics at high data rates to identify the regime of linear apd operation we employ a pspulsed diode laser with variable repetition rates between 05mhz and 80mhz we modify the mean optical power of the coherent pulses by applying different levels of wellcalibrated attenuation the linearity at high repetition rates is limited by the apd dead time and a nonlinear response arises at higher photonnumbers due to multiphoton events assuming poissonian input light statistics we ascertain the effective mean photonnumber of the incident light with high accuracy time multiplexed detectors tmd allow to accomplish photon number resolution by photon chopping this detection setup extends the linear response function to higher photonnumbers and statistical methods may be used to compensate for nonlinearity we investigated this effect compare it to the single apd case and show the validity of the convolution treatment in the tmd data analysis
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709.3054
Splitting of Andreev levels in a Josephson junction by spin-orbit coupling
We consider the effect of spin-orbit coupling on the energy levels of a single-channel Josephson junction below the superconducting gap. We investigate quantitatively the level splitting arising from the combined effect of spin-orbit coupling and the time-reversal symmetry breaking by the phase difference between the superconductors. Using the scattering matrix approach we establish a simple connection between the quantum mechanical time delay matrix and the effective Hamiltonian for the level splitting. As an application we calculate the distribution of level splittings for an ensemble of chaotic Josephson junctions. The distribution falls off as a power law for large splittings, unlike the exponentially decaying splitting distribution given by the Wigner surmise -- which applies for normal chaotic quantum dots with spin-orbit coupling in the case that the time-reversal symmetry breaking is due to a magnetic field.
cond-mat.mes-hall
we consider the effect of spinorbit coupling on the energy levels of a singlechannel josephson junction below the superconducting gap we investigate quantitatively the level splitting arising from the combined effect of spinorbit coupling and the timereversal symmetry breaking by the phase difference between the superconductors using the scattering matrix approach we establish a simple connection between the quantum mechanical time delay matrix and the effective hamiltonian for the level splitting as an application we calculate the distribution of level splittings for an ensemble of chaotic josephson junctions the distribution falls off as a power law for large splittings unlike the exponentially decaying splitting distribution given by the wigner surmise which applies for normal chaotic quantum dots with spinorbit coupling in the case that the timereversal symmetry breaking is due to a magnetic field
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709.3055
The subdiffusive target problem: Survival probability
The asymptotic survival probability of a spherical target in the presence of a single subdiffusive trap or surrounded by a sea of subdiffusive traps in a continuous Euclidean medium is calculated. In one and two dimensions the survival probability of the target in the presence of a single trap decays to zero as a power law and as a power law with logarithmic correction, respectively. The target is thus reached with certainty, but it takes the trap an infinite time on average to do so. In three dimensions a single trap may never reach the target and so the survival probability is finite and, in fact, does not depend on whether the traps move diffusively or subdiffusively. When the target is surrounded by a sea of traps, on the other hand, its survival probability decays as a stretched exponential in all dimensions (with a logarithmic correction in the exponent for $d=2$). A trap will therefore reach the target with certainty, and will do so in a finite time. These results may be directly related to enzyme binding kinetics on DNA in the crowded cellular environment.
cond-mat.stat-mech cond-mat.soft
the asymptotic survival probability of a spherical target in the presence of a single subdiffusive trap or surrounded by a sea of subdiffusive traps in a continuous euclidean medium is calculated in one and two dimensions the survival probability of the target in the presence of a single trap decays to zero as a power law and as a power law with logarithmic correction respectively the target is thus reached with certainty but it takes the trap an infinite time on average to do so in three dimensions a single trap may never reach the target and so the survival probability is finite and in fact does not depend on whether the traps move diffusively or subdiffusively when the target is surrounded by a sea of traps on the other hand its survival probability decays as a stretched exponential in all dimensions with a logarithmic correction in the exponent for d2 a trap will therefore reach the target with certainty and will do so in a finite time these results may be directly related to enzyme binding kinetics on dna in the crowded cellular environment
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709.3056
Residue Classes Having Tardy Totients
We show, in an effective way, that there exists a sequence of congruence classes $a_k\pmod {m_k}$ such that the minimal solution $n=n_k$ of the congruence $\phi(n)\equiv a_k\pmod {m_k}$ exists and satisfies $\log n_k/\log m_k\to\infty $ as $k\to\infty$. Here, $\phi(n)$ is the Euler function. This answers a question raised in \cite{FS}. We also show that every congruence class containing an even integer contains infinitely many values of the Carmichael function $\lambda(n)$ and the least such $n$ satisfies $n\ll m^{13}$.
math.NT
we show in an effective way that there exists a sequence of congruence classes a_kpmod m_k such that the minimal solution nn_k of the congruence phinequiv a_kpmod m_k exists and satisfies log n_klog m_ktoinfty as ktoinfty here phin is the euler function this answers a question raised in citefs we also show that every congruence class containing an even integer contains infinitely many values of the carmichael function lambdan and the least such n satisfies nll m13
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709.3057
Joint resummation for slepton pair production at hadron colliders
We present a precision calculation of the transverse-momentum and invariant-mass distributions for supersymmetric particle pair production at hadron colliders, focusing on Drell-Yan like slepton pair and slepton-sneutrino associated production at the CERN Large Hadron Collider. We implement the joint resummation formalism at the next-to-leading logarithmic accuracy with a process-independent Sudakov form factor, thus ensuring a universal description of soft-gluon emission, and consistently match the obtained result with the pure perturbative result at the first order in the strong coupling constant, i.e. at O(alpha_s). We also implement three different recent parameterizations of non-perturbative effects. Numerically, we give predictions for ~e_R ~e_R^* production and compare the resummed cross section with the perturbative result. The dependence on unphysical scales is found to be reduced, and non-perturbative contributions remain small.
hep-ph hep-ex
we present a precision calculation of the transversemomentum and invariantmass distributions for supersymmetric particle pair production at hadron colliders focusing on drellyan like slepton pair and sleptonsneutrino associated production at the cern large hadron collider we implement the joint resummation formalism at the nexttoleading logarithmic accuracy with a processindependent sudakov form factor thus ensuring a universal description of softgluon emission and consistently match the obtained result with the pure perturbative result at the first order in the strong coupling constant ie at oalpha_s we also implement three different recent parameterizations of nonperturbative effects numerically we give predictions for e_r e_r production and compare the resummed cross section with the perturbative result the dependence on unphysical scales is found to be reduced and nonperturbative contributions remain small
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709.3058
Giant magnetoelectric effect induced by intrinsic surface stress in ferroic nanorods
The general approach for the consideration of the magnetoelectric effects in ferroic nanorods is proposed in the framework of the phenomenological theory. The intrinsic surface stress, magneto- and electrostriction as well as piezoelectric and piezomagnetic effects are included into the free energy. The intrinsic surface stress under the curved nanoparticle surface is shown to play an important role in the shift of ferroelectric and ferromagnetic transition temperatures and built-in magnetic and electric fields appearance, which are inversely proportional to the nanorod radius. We consider the case of quadratic and linear magnetoelectric coupling coefficients. The linear coupling coefficient is radius independent, whereas the quadratic ones include terms inversely proportional to the nanorod radius and thus strongly increase with decrease of the radius. The predicted giant relative dielectric tunability in the vicinity of ferromagnetic and ferroelectric phase transition points induced by quadratic magnetoelectric coupling increases by 2-50 times. The quadratic magnetoelectric coupling dramatically changes the phase diagrams of ferroic nanorods when the radius decreases. In particular the second order phase transition may become a first one, the triple point state characterized by continuous set of order parameters appears at zero external electric and magnetic fields and the tricritical points appear under external fields.
cond-mat.mtrl-sci
the general approach for the consideration of the magnetoelectric effects in ferroic nanorods is proposed in the framework of the phenomenological theory the intrinsic surface stress magneto and electrostriction as well as piezoelectric and piezomagnetic effects are included into the free energy the intrinsic surface stress under the curved nanoparticle surface is shown to play an important role in the shift of ferroelectric and ferromagnetic transition temperatures and builtin magnetic and electric fields appearance which are inversely proportional to the nanorod radius we consider the case of quadratic and linear magnetoelectric coupling coefficients the linear coupling coefficient is radius independent whereas the quadratic ones include terms inversely proportional to the nanorod radius and thus strongly increase with decrease of the radius the predicted giant relative dielectric tunability in the vicinity of ferromagnetic and ferroelectric phase transition points induced by quadratic magnetoelectric coupling increases by 250 times the quadratic magnetoelectric coupling dramatically changes the phase diagrams of ferroic nanorods when the radius decreases in particular the second order phase transition may become a first one the triple point state characterized by continuous set of order parameters appears at zero external electric and magnetic fields and the tricritical points appear under external fields
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709.3059
M-Theory Brane Deformations
Using the techniques developed by Lunin and Maldacena we calaculate the supergravity solutions of membranes and fivebranes in the presence of a background C field. All the distinct possible C-field configurations are explored. Decoupling limits for these branes are then described that preserve the deformation leading to families of M-theory brane deformation duals. The decoupled geometry is then explored using probe brane techniques and brane thermodynamics.
hep-th
using the techniques developed by lunin and maldacena we calaculate the supergravity solutions of membranes and fivebranes in the presence of a background c field all the distinct possible cfield configurations are explored decoupling limits for these branes are then described that preserve the deformation leading to families of mtheory brane deformation duals the decoupled geometry is then explored using probe brane techniques and brane thermodynamics
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709.306
Heavily obscured AGN with BeppoSAX, INTEGRAL, SWIFT, XMM and Chandra: prospects for Simbol-X
According to the latest versions of synthesis modeling of the Cosmic X-ray Background, Compton Thick AGN should represent ~50% of the total absorbed AGN population. However, despite their importance in the cosmological context, only a few dozens of Compton Thick AGN have been found and studied so far. We will briefly review this topic and discuss the improvement in this field offered by the Simbol-X mission with its leap in sensitivity (E>10 keV) of more than a factor 500 with respect to previous X-ray missions.
astro-ph
according to the latest versions of synthesis modeling of the cosmic xray background compton thick agn should represent 50 of the total absorbed agn population however despite their importance in the cosmological context only a few dozens of compton thick agn have been found and studied so far we will briefly review this topic and discuss the improvement in this field offered by the simbolx mission with its leap in sensitivity e10 kev of more than a factor 500 with respect to previous xray missions
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709.3061
Monte Carlo study of the evaporation/condensation transition on different Ising lattices
In 2002 Biskup et al. [Europhys. Lett. 60, 21 (2002)] sketched a rigorous proof for the behavior of the 2D Ising lattice gas, at a finite volume and a fixed excess \delta M of particles (spins) above the ambient gas density (spontaneous magnetisation). By identifying a dimensionless parameter \Delta (\delta M) and a universal constant \Delta_c, they showed in the limit of large system sizes that for \Delta < \Delta_c the excess is absorbed in the background (``evaporated'' system), while for \Delta > \Delta_c a droplet of the dense phase occurs (``condensed'' system). To check the applicability of the analytical results to much smaller, practically accessible system sizes, we performed several Monte Carlo simulations for the 2D Ising model with nearest-neighbour couplings on a square lattice at fixed magnetisation M. Thereby, we measured the largest minority droplet, corresponding to the condensed phase, at various system sizes (L=40, >..., 640). With analytic values for for the spontaneous magnetisation m_0, the susceptibility \chi and the Wulff interfacial free energy density \tau_W for the infinite system, we were able to determine \lambda numerically in very good agreement with the theoretical prediction. Furthermore, we did simulations for the spin-1/2 Ising model on a triangular lattice and with next-nearest-neighbour couplings on a square lattice. Again, finding a very good agreement with the analytic formula, we demonstrate the universal aspects of the theory with respect to the underlying lattice. For the case of the next-nearest-neighbour model, where \tau_W is unknown analytically, we present different methods to obtain it numerically by fitting to the distribution of the magnetisation density P(m).
cond-mat.stat-mech
in 2002 biskup et al europhys lett 60 21 2002 sketched a rigorous proof for the behavior of the 2d ising lattice gas at a finite volume and a fixed excess delta m of particles spins above the ambient gas density spontaneous magnetisation by identifying a dimensionless parameter delta delta m and a universal constant delta_c they showed in the limit of large system sizes that for delta delta_c the excess is absorbed in the background evaporated system while for delta delta_c a droplet of the dense phase occurs condensed system to check the applicability of the analytical results to much smaller practically accessible system sizes we performed several monte carlo simulations for the 2d ising model with nearestneighbour couplings on a square lattice at fixed magnetisation m thereby we measured the largest minority droplet corresponding to the condensed phase at various system sizes l40 640 with analytic values for for the spontaneous magnetisation m_0 the susceptibility chi and the wulff interfacial free energy density tau_w for the infinite system we were able to determine lambda numerically in very good agreement with the theoretical prediction furthermore we did simulations for the spin12 ising model on a triangular lattice and with nextnearestneighbour couplings on a square lattice again finding a very good agreement with the analytic formula we demonstrate the universal aspects of the theory with respect to the underlying lattice for the case of the nextnearestneighbour model where tau_w is unknown analytically we present different methods to obtain it numerically by fitting to the distribution of the magnetisation density pm
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709.3062
Multiple interactions and AGK rules in pQCD
We review some aspects of multiple interactions in High Energy QCD; we discuss in particular AGK rules and present some results concerning multiple interactions in the context of jet production.
hep-ph
we review some aspects of multiple interactions in high energy qcd we discuss in particular agk rules and present some results concerning multiple interactions in the context of jet production
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709.3063
Deep MMT Transit Survey of the Open Cluster M37 I: Observations and Cluster Parameters
We have conducted a deep ($15 \la r \la 23$), 20 night survey for transiting planets in the intermediate age open cluster M37 (NGC 2099) using the Megacam wide-field mosaic CCD camera on the 6.5m Multiple Mirror Telescope (MMT). In this paper we describe the observations and data reduction procedures for the survey and analyze the stellar content and dynamical state of the cluster. By combining high resolution spectroscopy with existing $BVI_{C}K_{S}$ and new $gri$ color magnitude diagrams we determine the fundamental cluster parameters: $t = 485 \pm 28$ Myr without overshooting ($t = 550 \pm 30 {\rm Myr}$ with overshooting), $E(B-V) = 0.227 \pm 0.038$, $(m-M)_{V} = 11.57 \pm 0.13$ and $[M/H] = +0.045 \pm 0.044$ which are in good agreement with, though more precise than, previous measurements. We determine the mass function down to $0.3 M_{\odot}$ and use this to estimate the total cluster mass of $3640 \pm 170 M_{\odot}$.
astro-ph
we have conducted a deep 15 la r la 23 20 night survey for transiting planets in the intermediate age open cluster m37 ngc 2099 using the megacam widefield mosaic ccd camera on the 65m multiple mirror telescope mmt in this paper we describe the observations and data reduction procedures for the survey and analyze the stellar content and dynamical state of the cluster by combining high resolution spectroscopy with existing bvi_ck_s and new gri color magnitude diagrams we determine the fundamental cluster parameters t 485 pm 28 myr without overshooting t 550 pm 30 rm myr with overshooting ebv 0227 pm 0038 mm_v 1157 pm 013 and mh 0045 pm 0044 which are in good agreement with though more precise than previous measurements we determine the mass function down to 03 m_odot and use this to estimate the total cluster mass of 3640 pm 170 m_odot
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709.3064
Model for Vortex Pinning in a Two-Dimensional Inhomogeneous d-wave Superconductor
We study a model for the pinning of vortices in a two-dimensional, inhomogeneous, Type-II superconductor in its mixed state. The model is based on a Ginzburg-Landau (GL) free energy functional whose coefficients are determined by the mean-field transition temperature T_{c0} and the zero-temperature penetration depth \lambda(0). We find that if (i) T_{c0} and \lambda(0) are functions of position, and (ii) \lambda^2(0) is proportional to T_{c0}^y, with y greater than 0, then the vortices tend to be pinned where T_{c0}, and hence the magnitude of the superconducting order parameter \Delta, are large. This behavior is in contrast to the usual picture of pinning in Type-II superconductors, where pinning occurs in the small-gap regions. We also compute the local density of states of a model BCS Hamiltonian with d-wave symmetry, in which the pairing field is obtained from Monte Carlo simulations of a GL free energy. Several features observed in scanning tunneling spectroscopy measurements on YBa_2Cu_3O_{6+x} and Bi_2Sr_2CaCu_2O_{8+x} are well reproduced by our model: far from the cores, the local density of states spectrum has a small gap and sharp coherence peaks, while near the cores it has a larger gap with low, broad peaks. Additionally, also in agreement with experiment, the spectrum near the core does not exhibit a zero-energy peak which is, however, observed in other theoretical studies.
cond-mat.supr-con cond-mat.mes-hall
we study a model for the pinning of vortices in a twodimensional inhomogeneous typeii superconductor in its mixed state the model is based on a ginzburglandau gl free energy functional whose coefficients are determined by the meanfield transition temperature t_c0 and the zerotemperature penetration depth lambda0 we find that if i t_c0 and lambda0 are functions of position and ii lambda20 is proportional to t_c0y with y greater than 0 then the vortices tend to be pinned where t_c0 and hence the magnitude of the superconducting order parameter delta are large this behavior is in contrast to the usual picture of pinning in typeii superconductors where pinning occurs in the smallgap regions we also compute the local density of states of a model bcs hamiltonian with dwave symmetry in which the pairing field is obtained from monte carlo simulations of a gl free energy several features observed in scanning tunneling spectroscopy measurements on yba_2cu_3o_6x and bi_2sr_2cacu_2o_8x are well reproduced by our model far from the cores the local density of states spectrum has a small gap and sharp coherence peaks while near the cores it has a larger gap with low broad peaks additionally also in agreement with experiment the spectrum near the core does not exhibit a zeroenergy peak which is however observed in other theoretical studies
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709.3065
VLT / Infrared Integral Field Spectrometer Observations of Molecular Hydrogen Lines in the Knots in the Planetary Nebula NGC 7293 (the Helix Nebula)
Knots are commonly found in nearby planetary nebulae (PNe) and star forming regions. Within PNe, knots are often found to be associated with the brightest parts of the nebulae and understanding the physics involved in knots may reveal the processes dominating in PNe. As one of the closest PNe, the Helix Nebula (NGC 7293) is an ideal target to study such small-scale (~300 AU) structures. We have obtained infrared integral spectroscopy of a comet-shaped knot in the Helix Nebula using SINFONI on the Very Large Telescope at high spatial resolution (50-125 mas). With spatially resolved 2 micron spectra, we find that the H2 rotational temperature within the cometary knots is uniform. The rotational-vibrational temperature of the cometary knot (situated in the innermost region of the nebula, 2.5 arcmin away from the central star), is 1800 K, higher than the temperature seen in the outer regions (5-6 arcmin from the central star) of the nebula (900 K), showing that the excitation temperature varies across the nebula. The obtained intensities are reasonably well fitted with 27 km s-1 C-type shock model. This ambient gas velocity is slightly higher than the observed [HeII] wind velocity of 13 km s-1. The gas excitation can also be reproduced with a PDR (photo dominant region) model, but this requires an order of magnitude higher UV radiation. Both models have limitations, highlighting the need for models that treats both hydrodynamical physics and the PDR.
astro-ph
knots are commonly found in nearby planetary nebulae pne and star forming regions within pne knots are often found to be associated with the brightest parts of the nebulae and understanding the physics involved in knots may reveal the processes dominating in pne as one of the closest pne the helix nebula ngc 7293 is an ideal target to study such smallscale 300 au structures we have obtained infrared integral spectroscopy of a cometshaped knot in the helix nebula using sinfoni on the very large telescope at high spatial resolution 50125 mas with spatially resolved 2 micron spectra we find that the h2 rotational temperature within the cometary knots is uniform the rotationalvibrational temperature of the cometary knot situated in the innermost region of the nebula 25 arcmin away from the central star is 1800 k higher than the temperature seen in the outer regions 56 arcmin from the central star of the nebula 900 k showing that the excitation temperature varies across the nebula the obtained intensities are reasonably well fitted with 27 km s1 ctype shock model this ambient gas velocity is slightly higher than the observed heii wind velocity of 13 km s1 the gas excitation can also be reproduced with a pdr photo dominant region model but this requires an order of magnitude higher uv radiation both models have limitations highlighting the need for models that treats both hydrodynamical physics and the pdr
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709.3066
Cosmic Ray Physics with ACORDE at LHC
The use of large underground high-energy physics experiments, for comic ray studies, have been used, in the past, at CERN, in order to measure, precisely, the inclusive cosmic ray flux in the energy range from 2x10^10 - 2x10^12 eV. ACORDE, ALICE Cosmic Rays DEtector, will act as Level 0 cosmic ray trigger and, together with other ALICE apparatus, will provide precise information on cosmic rays with primary energies around 10^15 - 10^17 eV. This paper reviews the main detector features, the present status, commissioning and integration with other apparatus. Finally, we discuss the ACORDE-ALICE cosmic ray physics program.
hep-ex astro-ph
the use of large underground highenergy physics experiments for comic ray studies have been used in the past at cern in order to measure precisely the inclusive cosmic ray flux in the energy range from 2x1010 2x1012 ev acorde alice cosmic rays detector will act as level 0 cosmic ray trigger and together with other alice apparatus will provide precise information on cosmic rays with primary energies around 1015 1017 ev this paper reviews the main detector features the present status commissioning and integration with other apparatus finally we discuss the acordealice cosmic ray physics program
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709.3067
Relation between full traces of Green functions for initial and Darboux transformed Dirac problems
We establish the relation between full traces of the Green functions for some initial and the Darboux transformed one-dimensional two component Dirac problems with the most general form of potential. The result is used to check the completeness of set of wave functions obtained by the Darboux transformation of the eigenfunctions set for the initial Dirac problem with some typical boundary conditions.
hep-th
we establish the relation between full traces of the green functions for some initial and the darboux transformed onedimensional two component dirac problems with the most general form of potential the result is used to check the completeness of set of wave functions obtained by the darboux transformation of the eigenfunctions set for the initial dirac problem with some typical boundary conditions
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709.3068
Bose-Einstein Condensation of an Ytterbium Isotope
We report the observation of a Bose Einstein condensate in a bosonic isotope of ytterbium (170Yb). More than 10^6 atoms are trapped in a crossed optical dipole trap and cooled by evaporation. Condensates of approximately 10^4 atoms have been obtained. From an expansion of the condensate, we have extracted the scattering length a=3.6(9) nm.
cond-mat.other
we report the observation of a bose einstein condensate in a bosonic isotope of ytterbium 170yb more than 106 atoms are trapped in a crossed optical dipole trap and cooled by evaporation condensates of approximately 104 atoms have been obtained from an expansion of the condensate we have extracted the scattering length a369 nm
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709.3069
Brane Solutions in Time Dependent Backgrounds in D = 11 Supergravity and in Type II String Theories
We obtain explicit time dependent brane solutions in M-theory as well as in string theory by solving the reduced equations of motion (which follow from 11-d supergravity) for a class of brane solutions in curved backgrounds. The behaviour of our solutions in both asymptotic and near-horizon limits are studied. It is shown that our time dependent solutions serve as explicit examples of branes in singular, cosmological backgrounds. In some special cases the asymptotic and the boundary AdS solutions can be identified as Milne X R^n spacetime.
hep-th
we obtain explicit time dependent brane solutions in mtheory as well as in string theory by solving the reduced equations of motion which follow from 11d supergravity for a class of brane solutions in curved backgrounds the behaviour of our solutions in both asymptotic and nearhorizon limits are studied it is shown that our time dependent solutions serve as explicit examples of branes in singular cosmological backgrounds in some special cases the asymptotic and the boundary ads solutions can be identified as milne x rn spacetime
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709.307
3D SPH simulations of grain growth in protoplanetary disks
We present the first results of the treatment of grain growth in our 3D, two-fluid (gas+dust) SPH code describing protoplanetary disks. We implement a scheme able to reproduce the variation of grain sizes caused by a variety of physical processes and test it with the analytical expression of grain growth given by Stepinski & Valageas (1997) in simulations of a typical T Tauri disk around a one solar mass star. The results are in agreement with a turbulent growing process and validate the method. We are now able to simulate the grain growth process in a protoplanetary disk given by a more realistic physical description, currently under development. We discuss the implications of the combined effect of grain growth and dust vertical settling and radial migration on subsequent planetesimal formation.
astro-ph
we present the first results of the treatment of grain growth in our 3d twofluid gasdust sph code describing protoplanetary disks we implement a scheme able to reproduce the variation of grain sizes caused by a variety of physical processes and test it with the analytical expression of grain growth given by stepinski valageas 1997 in simulations of a typical t tauri disk around a one solar mass star the results are in agreement with a turbulent growing process and validate the method we are now able to simulate the grain growth process in a protoplanetary disk given by a more realistic physical description currently under development we discuss the implications of the combined effect of grain growth and dust vertical settling and radial migration on subsequent planetesimal formation
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709.3071
Binding of Nucleobases with Single-Walled Carbon Nanotubes
We have calculated the binding energy of various nucleobases (guanine (G), adenine (A), thymine (T) and cytosine (C)) with (5,5) single-walled carbon nanotubes (SWNTs) using ab-initio Hartre-Fock method (HF) together with force field calculations. The gas phase binding energies follow the sequence G $>$ A $>$ T $>$ C. We show that main contribution to binding energy comes from van-der Wall (vdW) interaction between nanotube and nucleobases. We compare these results with the interaction of nucleobases with graphene. We show that the binding energy of bases with SWNTs is much lower than the graphene but the sequence remains same. When we include the effect of solvation energy (Poisson-Boltzman (PB) solver at HF level), the binding energy follow the sequence G $>$ T $>$ A $>$ C $>$, which explains the experiment\cite{zheng} that oligonucleotides made of thymine bases are more effective in dispersing the SWNT in aqueous solution as compared to poly (A) and poly (C). We also demonstrate experimentally that there is differential binding affinity of nucleobases with the single-walled carbon nanotubes (SWNTs) by directly measuring the binding strength using isothermal titration (micro) calorimetry. The binding sequence of the nucleobases varies as thymine (T) $>$ adenine (A) $>$ cytosine (C), in agreement with our calculation.
cond-mat.mtrl-sci cond-mat.soft
we have calculated the binding energy of various nucleobases guanine g adenine a thymine t and cytosine c with 55 singlewalled carbon nanotubes swnts using abinitio hartrefock method hf together with force field calculations the gas phase binding energies follow the sequence g a t c we show that main contribution to binding energy comes from vander wall vdw interaction between nanotube and nucleobases we compare these results with the interaction of nucleobases with graphene we show that the binding energy of bases with swnts is much lower than the graphene but the sequence remains same when we include the effect of solvation energy poissonboltzman pb solver at hf level the binding energy follow the sequence g t a c which explains the experimentcitezheng that oligonucleotides made of thymine bases are more effective in dispersing the swnt in aqueous solution as compared to poly a and poly c we also demonstrate experimentally that there is differential binding affinity of nucleobases with the singlewalled carbon nanotubes swnts by directly measuring the binding strength using isothermal titration micro calorimetry the binding sequence of the nucleobases varies as thymine t adenine a cytosine c in agreement with our calculation
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709.3072
The Distance of the First Overtone RR Lyrae Variables in the MACHO LMC Database: A New Method to Correct for the Effects of Crowding
Previous studies have indicated that many of the RR Lyrae variables in the LMC have properties similar to the ones in the Galactic globular cluster M3. Assuming that the M3 RR Lyrae variables follow the same relationships among period, temperature, amplitude and Fourier phase parameter phi31 as their LMC counterparts, we have used the M3 phi31-logP relation to identify the M3-like unevolved first overtone RR Lyrae variables in 16 fields near the LMC bar. The temperatures of these variables were calculated from the M3 logP-logTe relation so that the extinction could be derived for each star separately. Since blended stars have lower amplitudes for a given period, the period amplitude relation should be a useful tool for identifying which stars are affected by crowding. We find that the low amplitude stars are brighter. We remove them from the sample and derive an LMC distance modulus 18.49+/-0.11.
astro-ph
previous studies have indicated that many of the rr lyrae variables in the lmc have properties similar to the ones in the galactic globular cluster m3 assuming that the m3 rr lyrae variables follow the same relationships among period temperature amplitude and fourier phase parameter phi31 as their lmc counterparts we have used the m3 phi31logp relation to identify the m3like unevolved first overtone rr lyrae variables in 16 fields near the lmc bar the temperatures of these variables were calculated from the m3 logplogte relation so that the extinction could be derived for each star separately since blended stars have lower amplitudes for a given period the period amplitude relation should be a useful tool for identifying which stars are affected by crowding we find that the low amplitude stars are brighter we remove them from the sample and derive an lmc distance modulus 1849011
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709.3073
Intermittency and Universality in Fully-Developed Inviscid and Weakly-Compressible Turbulent Flows
We performed high resolution numerical simulations of homogenous and isotropic compressible turbulence, with an average 3D Mach number close to 0.3. We study the statistical properties of intermittency for velocity, density and entropy. For the velocity field, which is the primary quantity that can be compared to the isotropic incompressible case, we find no statistical differences in its behavior in the inertial range due either to the slight compressibility or to the different dissipative mechanism. For the density field, we find evidence of ``front-like'' structures, although no shocks are produced by the simulation.
nlin.CD physics.flu-dyn
we performed high resolution numerical simulations of homogenous and isotropic compressible turbulence with an average 3d mach number close to 03 we study the statistical properties of intermittency for velocity density and entropy for the velocity field which is the primary quantity that can be compared to the isotropic incompressible case we find no statistical differences in its behavior in the inertial range due either to the slight compressibility or to the different dissipative mechanism for the density field we find evidence of frontlike structures although no shocks are produced by the simulation
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709.3074
Spectra of primordial fluctuations in two-perfect-fluid regular bounces
We introduce analytic solutions for a class of two components bouncing models, where the bounce is triggered by a negative energy density perfect fluid. The equation of state of the two components are constant in time, but otherwise unrelated. By numerically integrating regular equations for scalar cosmological perturbations, we find that the (would be) growing mode of the Newtonian potential before the bounce never matches with the the growing mode in the expanding stage. For the particular case of a negative energy density component with a stiff equation of state we give a detailed analytic study, which is in complete agreement with the numerical results. We also perform analytic and numerical calculations for long wavelength tensor perturbations, obtaining that, in most cases of interest, the tensor spectral index is independent of the negative energy fluid and given by the spectral index of the growing mode in the contracting stage. We compare our results with previous investigations in the literature.
gr-qc
we introduce analytic solutions for a class of two components bouncing models where the bounce is triggered by a negative energy density perfect fluid the equation of state of the two components are constant in time but otherwise unrelated by numerically integrating regular equations for scalar cosmological perturbations we find that the would be growing mode of the newtonian potential before the bounce never matches with the the growing mode in the expanding stage for the particular case of a negative energy density component with a stiff equation of state we give a detailed analytic study which is in complete agreement with the numerical results we also perform analytic and numerical calculations for long wavelength tensor perturbations obtaining that in most cases of interest the tensor spectral index is independent of the negative energy fluid and given by the spectral index of the growing mode in the contracting stage we compare our results with previous investigations in the literature
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709.3075
Low-temperature phonon thermal conductivity of cuprate single crystals
The effect of sample size and surface roughness on the phonon thermal conductivity $\kappa_p$ of Nd$_2$CuO$_4$ single crystals was studied down to 50 mK. At 0.5 K, $\kappa_p$ is proportional to $\sqrt{A}$, where $A$ is the cross-sectional area of the sample. This demonstrates that $\kappa_p$ is dominated by boundary scattering below 0.5 K or so. However, the expected $T^3$ dependence of $\kappa_p$ is not observed down to 50 mK. Upon roughing the surfaces, the $T^3$ dependence is restored, showing that departures from $T^3$ are due to specular reflection of phonons off the mirror-like sample surfaces. We propose an empirical power law fit, to $\kappa_p \sim T^{\alpha}$ (where $\alpha < 3$) in cuprate single crystals. Using this method, we show that recent thermal conductivity studies of Zn doping in YBa$_2$Cu$_3$O$_y$ re-affirm the universal heat conductivity of d-wave quasiparticles at $T \to 0$.
cond-mat.supr-con cond-mat.str-el
the effect of sample size and surface roughness on the phonon thermal conductivity kappa_p of nd_2cuo_4 single crystals was studied down to 50 mk at 05 k kappa_p is proportional to sqrta where a is the crosssectional area of the sample this demonstrates that kappa_p is dominated by boundary scattering below 05 k or so however the expected t3 dependence of kappa_p is not observed down to 50 mk upon roughing the surfaces the t3 dependence is restored showing that departures from t3 are due to specular reflection of phonons off the mirrorlike sample surfaces we propose an empirical power law fit to kappa_p sim talpha where alpha 3 in cuprate single crystals using this method we show that recent thermal conductivity studies of zn doping in yba_2cu_3o_y reaffirm the universal heat conductivity of dwave quasiparticles at t to 0
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709.3076
Spitzer/IRS Observations of Seyfert 1.8s and 1.9s: A Comparison with Seyfert 1s and Seyfert 2s
We present Spitzer Space Telescope mid-infrared spectra of 12 Seyfert 1.8 and 1.9 galaxies over the 5-38 um region. We compare the spectral characteristics of this sample to those of 58 Seyfert 1 and Seyfert 2 galaxies from the Spitzer archives. An analysis of the spectral shapes, the silicate 10 um feature and the emission line fluxes have enabled us to characterize the mid-IR properties of Seyfert 1.8/1.9s. We find that the equivalent widths of the 10 um silicate feature are generally weak in all Seyfert galaxies, as previously reported by several studies. The few Seyfert galaxies in this sample that show deep 10 um silicate absorption features are highly inclined and/or merging galaxies. It is likely that these absorption features originate primarily in the dusty interstellar medium of the host galaxy rather than in a dusty torus on parsec scales close to the central engine. We find that the equivalent width of the polycyclic aromatic hydrocarbon (PAH) band at 6.2 um correlates strongly with the 20-30 um spectral index. Either of these quantities are good indicators of the amount of starburst contribution to the mid-IR spectra. The spectra of Seyfert 1.8 and 1.9s are dominated by these starburst features, similar to most Seyfert 2s. They show strong PAH bands and a strong red continuum toward 30 um. The strengths of the high-ionization forbidden narrow emission lines [O IV] 25.89 um, [Ne III] 15.56 um and [Ne V] 14.32 um relative to [Ne II] 12.81 um are weaker in Seyfert 1.8/1.9s and Seyfert 2s as compared to Seyfert 1s. The weakness of high-ionization lines in Seyfert 1.8-1.9s is suggestive of intrinsically weak active galactic nuclei (AGN) continua, and/or stronger star formation activity leading to enhanced [Ne II]. We discuss the implications of these observational results in the context of the Unified Model of AGN.
astro-ph
we present spitzer space telescope midinfrared spectra of 12 seyfert 18 and 19 galaxies over the 538 um region we compare the spectral characteristics of this sample to those of 58 seyfert 1 and seyfert 2 galaxies from the spitzer archives an analysis of the spectral shapes the silicate 10 um feature and the emission line fluxes have enabled us to characterize the midir properties of seyfert 1819s we find that the equivalent widths of the 10 um silicate feature are generally weak in all seyfert galaxies as previously reported by several studies the few seyfert galaxies in this sample that show deep 10 um silicate absorption features are highly inclined andor merging galaxies it is likely that these absorption features originate primarily in the dusty interstellar medium of the host galaxy rather than in a dusty torus on parsec scales close to the central engine we find that the equivalent width of the polycyclic aromatic hydrocarbon pah band at 62 um correlates strongly with the 2030 um spectral index either of these quantities are good indicators of the amount of starburst contribution to the midir spectra the spectra of seyfert 18 and 19s are dominated by these starburst features similar to most seyfert 2s they show strong pah bands and a strong red continuum toward 30 um the strengths of the highionization forbidden narrow emission lines o iv 2589 um ne iii 1556 um and ne v 1432 um relative to ne ii 1281 um are weaker in seyfert 1819s and seyfert 2s as compared to seyfert 1s the weakness of highionization lines in seyfert 1819s is suggestive of intrinsically weak active galactic nuclei agn continua andor stronger star formation activity leading to enhanced ne ii we discuss the implications of these observational results in the context of the unified model of agn
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709.3077
Improved actions and lattice coarsening effects in MCRG studies in SU(2) LGT
We study decimation procedures and effective (improved) actions in the framework of Monte Carlo Renormalization Group (MCRG). Particular attention is paid to matching the form of the effective action to the decimation procedure parameters. Using the static quark-antiquark potential in SU(2) LGT we probe different distance scales and find that an effective action containing multiple group representations is capable of reproducing long distance physics well. In particular, appropriate matching results in the practical elimination of the coarsening/fining effect of the lattice spacing under decimation. The short distance regime of the effective theory is also studied. We next carry out studies of effective actions involving both multiple representations and loops beyond the single plaquette towards determining an improved action good over a wide length scale regime.
hep-lat
we study decimation procedures and effective improved actions in the framework of monte carlo renormalization group mcrg particular attention is paid to matching the form of the effective action to the decimation procedure parameters using the static quarkantiquark potential in su2 lgt we probe different distance scales and find that an effective action containing multiple group representations is capable of reproducing long distance physics well in particular appropriate matching results in the practical elimination of the coarseningfining effect of the lattice spacing under decimation the short distance regime of the effective theory is also studied we next carry out studies of effective actions involving both multiple representations and loops beyond the single plaquette towards determining an improved action good over a wide length scale regime
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709.3078
Formation and evolution of galactic spheroids by mergers
Galactic spheroids can form as a result of galaxy interactions and mergers of disks. Detailed analyses of the photometric properties, the intrinsic orbital structure, the line-of-sight velocity distributions and the kinemetry of simulated merger remnants, which depend critically on the geometry and the gas content of the interacting progenitors, indicate that low and intermediate mass rotating ellipticals can form from mergers of disks. The masses and metallicities of all massive ellipticals and the kinematics of some massive non-rotating ellipticals cannot be explained by binary mergers. Thus these galaxies might have formed in a different way.
astro-ph
galactic spheroids can form as a result of galaxy interactions and mergers of disks detailed analyses of the photometric properties the intrinsic orbital structure the lineofsight velocity distributions and the kinemetry of simulated merger remnants which depend critically on the geometry and the gas content of the interacting progenitors indicate that low and intermediate mass rotating ellipticals can form from mergers of disks the masses and metallicities of all massive ellipticals and the kinematics of some massive nonrotating ellipticals cannot be explained by binary mergers thus these galaxies might have formed in a different way
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709.3079
Computing a pyramid partition generating function with dimer shuffling
We verify a recent conjecture of Kenyon/Szendroi, arXiv:0705.3419, by computing the generating function for pyramid partitions. Pyramid partitions are closely related to Aztec Diamonds; their generating function turns out to be the partition function for the Donaldson--Thomas theory of a non-commutative resolution of the conifold singularity {x1x2 -x3x4 = 0}. The proof does not require algebraic geometry; it uses a modified version of the domino shuffling algorithm of Elkies, Kuperberg, Larsen and Propp.
math.CO math.AG
we verify a recent conjecture of kenyonszendroi arxiv07053419 by computing the generating function for pyramid partitions pyramid partitions are closely related to aztec diamonds their generating function turns out to be the partition function for the donaldsonthomas theory of a noncommutative resolution of the conifold singularity x1x2 x3x4 0 the proof does not require algebraic geometry it uses a modified version of the domino shuffling algorithm of elkies kuperberg larsen and propp
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709.308
Chirally symmetric but confining dense and cold matter
The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this question within the only known exactly solvable confining and chirally symmetric model. It is postulated within this model that there exists linear Coulomb-like confining interaction. The chiral symmetry breaking and the quark Green function are obtained from the Schwinger-Dyson (gap) equation while the color-singlet meson spectrum results from the Bethe-Salpeter equation. We solve this model at T=0 and finite chemical potential $\mu$ and obtain a clear chiral restoration phase transition at the critical value \mu_{cr}. Below this value the spectrum is similar to the previously obtained one at \mu = 0. At \mu > \mu_{cr} the quarks are still confined and the physical spectrum consists of bound states which are arranged into a complete set of exact chiral multiplets. This explicitly demonstrates that a chirally symmetric matter consisting of confined but chirally symmetric hadrons at finite chemical potential is also possible in QCD. If so, there must be nontrivial implications for astrophysics.
hep-ph astro-ph hep-th nucl-th
the folklore tradition about the qcd phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter we address this question within the only known exactly solvable confining and chirally symmetric model it is postulated within this model that there exists linear coulomblike confining interaction the chiral symmetry breaking and the quark green function are obtained from the schwingerdyson gap equation while the colorsinglet meson spectrum results from the bethesalpeter equation we solve this model at t0 and finite chemical potential mu and obtain a clear chiral restoration phase transition at the critical value mu_cr below this value the spectrum is similar to the previously obtained one at mu 0 at mu mu_cr the quarks are still confined and the physical spectrum consists of bound states which are arranged into a complete set of exact chiral multiplets this explicitly demonstrates that a chirally symmetric matter consisting of confined but chirally symmetric hadrons at finite chemical potential is also possible in qcd if so there must be nontrivial implications for astrophysics
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709.3081
Vibrational energy transfer in ultracold molecule - molecule collisions
We present a rigorous study of vibrational relaxation in p-H2 + p-H2 collisions at cold and ultracold temperatures and identify an efficient mechanism of ro-vibrational energy transfer. If the colliding molecules are in different rotational and vibrational levels, the internal energy may be transferred between the molecules through an extremely state-selective process involving simultaneous conservation of internal energy and total rotational angular momentum. The same transition in collisions of distinguishable molecules corresponds to the rotational energy transfer from one vibrational state of the colliding molecules to another.
quant-ph
we present a rigorous study of vibrational relaxation in ph2 ph2 collisions at cold and ultracold temperatures and identify an efficient mechanism of rovibrational energy transfer if the colliding molecules are in different rotational and vibrational levels the internal energy may be transferred between the molecules through an extremely stateselective process involving simultaneous conservation of internal energy and total rotational angular momentum the same transition in collisions of distinguishable molecules corresponds to the rotational energy transfer from one vibrational state of the colliding molecules to another
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709.3082
The martingale problem for a class of stable-like processes
Let $\alpha\in (0,2)$ and consider the operator $$L f(x) =\int [f(x+h)-f(x)-1_{(|h|\leq 1)} \nabla f(x)\cdot h] \frac{A(x,h)}{|h|^{d+\alpha}} dh, $$ where the $\nabla f(x)\cdot h$ term is omitted if $\alpha<1$. We consider the martingale problem corresponding to the operator $L$ and under mild conditions on the function $A$ prove that there exists a unique solution.
math.PR
let alphain 02 and consider the operator l fx int fxhfx1_hleq 1 nabla fxcdot h fracaxhhdalpha dh where the nabla fxcdot h term is omitted if alpha1 we consider the martingale problem corresponding to the operator l and under mild conditions on the function a prove that there exists a unique solution
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709.3083
Progress in nuclear data for accelerator applications in Europe
This contribution essentially will be divided into two parts: First, a brief overview on topical accelerator applications in Europe, a selection of the European 6th framework accelerator and ADS programs will be given, second the emphasis will be put on selected nuclear data required for designing facilities planned or even under construction. In this second part the progress on nuclear data in the EU FP6 Integrated Project IP-EUROTRANS (specifically NUDATRA) is summarized. For proton-induced reactions in the energy range of 200-2500 MeV experimental data and model comparisons are shown on total and double differential production cross sections of H- and He-isotopes and intermediate mass fragments.
nucl-ex
this contribution essentially will be divided into two parts first a brief overview on topical accelerator applications in europe a selection of the european 6th framework accelerator and ads programs will be given second the emphasis will be put on selected nuclear data required for designing facilities planned or even under construction in this second part the progress on nuclear data in the eu fp6 integrated project ipeurotrans specifically nudatra is summarized for protoninduced reactions in the energy range of 2002500 mev experimental data and model comparisons are shown on total and double differential production cross sections of h and heisotopes and intermediate mass fragments
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709.3084
Josephson dynamics for coupled polariton modes under the atom-field interaction in the cavity
We consider a new approach to the problem of Bose-Einstein condensation (BEC) of polaritons for atom-field interaction under the strong coupling regime in the cavity. We investigate the dynamics of two macroscopically populated polariton modes corresponding to the upper and lower branch energy states coupled via Kerr-like nonlinearity of atomic medium. We found out the dispersion relations for new type of collective excitations in the system under consideration. Various temporal regimes like linear (nonlinear) Josephson transition and/or Rabi oscillations, macroscopic quantum self-trapping (MQST) dynamics for population imbalance of polariton modes are predicted. We also examine the switching properties for time-averaged population imbalance depending on initial conditions, effective nonlinear parameter of atomic medium and kinetic energy of low-branch polaritons.
quant-ph
we consider a new approach to the problem of boseeinstein condensation bec of polaritons for atomfield interaction under the strong coupling regime in the cavity we investigate the dynamics of two macroscopically populated polariton modes corresponding to the upper and lower branch energy states coupled via kerrlike nonlinearity of atomic medium we found out the dispersion relations for new type of collective excitations in the system under consideration various temporal regimes like linear nonlinear josephson transition andor rabi oscillations macroscopic quantum selftrapping mqst dynamics for population imbalance of polariton modes are predicted we also examine the switching properties for timeaveraged population imbalance depending on initial conditions effective nonlinear parameter of atomic medium and kinetic energy of lowbranch polaritons
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709.3085
The Period Changes of the Cepheid RT Aurigae
Observations of the light curve for the 3.7-day Cepheid RT Aur both before and since 1980 indicate that the variable is undergoing an overall period increase, amounting to +0.082 +-0.012 s/yr, rather than a period decrease, as implied by all observations prior to 1980. Superposed on the star's O-C variations is a sinusoidal trend that cannot be attributed to random fluctuations in pulsation period. Rather, it appears to arise from light travel time effects in a binary system. The derived orbital period for the system is P = 26,429 +-89 days (72.36 +-0.24 years). The inferred orbital parameters from the O-C residuals differ from those indicated by existing radial velocity data. The latter imply the most reasonable results, namely a1 sin i = 9.09 (+-1.81) x 10^8 km and a minimum secondary mass of M2 = 1.15 +-0.25 Msun. Continued monitoring of the brightness and radial velocity changes in the Cepheid are necessary to confirm the long-term trend and to provide data for a proper spectroscopic solution to the orbit.
astro-ph
observations of the light curve for the 37day cepheid rt aur both before and since 1980 indicate that the variable is undergoing an overall period increase amounting to 0082 0012 syr rather than a period decrease as implied by all observations prior to 1980 superposed on the stars oc variations is a sinusoidal trend that cannot be attributed to random fluctuations in pulsation period rather it appears to arise from light travel time effects in a binary system the derived orbital period for the system is p 26429 89 days 7236 024 years the inferred orbital parameters from the oc residuals differ from those indicated by existing radial velocity data the latter imply the most reasonable results namely a1 sin i 909 181 x 108 km and a minimum secondary mass of m2 115 025 msun continued monitoring of the brightness and radial velocity changes in the cepheid are necessary to confirm the longterm trend and to provide data for a proper spectroscopic solution to the orbit
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709.3086
Wave Excitation in Disks Around Rotating Magnetic Stars
The accretion disk around a rotating magnetic star (neutron star, white dwarf or T Tauri star) is subjected to periodic vertical magnetic forces from the star, with the forcing frequency equal to the stellar spin frequency or twice the spin frequency. This gives rise bending waves in the disk that may influence the variabilities of the system. We study the excitation, propagation and dissipation of these waves using a hydrodynamical model coupled with a generic model description of the magnetic forces. The $m=1$ bending waves are excited at the Lindblad/vertical resonance, and propagate either to larger radii or inward toward the corotation resonance where dissipation takes place. While the resonant torque is negligible compared to the accretion torque, the wave nevertheless may reach appreciable amplitude and can cause or modulate flux variabilities from the system. We discuss applications of our result to the observed quasi-periodic oscillations from various systems, in particular neutron star low-mass X-ray binaries.
astro-ph
the accretion disk around a rotating magnetic star neutron star white dwarf or t tauri star is subjected to periodic vertical magnetic forces from the star with the forcing frequency equal to the stellar spin frequency or twice the spin frequency this gives rise bending waves in the disk that may influence the variabilities of the system we study the excitation propagation and dissipation of these waves using a hydrodynamical model coupled with a generic model description of the magnetic forces the m1 bending waves are excited at the lindbladvertical resonance and propagate either to larger radii or inward toward the corotation resonance where dissipation takes place while the resonant torque is negligible compared to the accretion torque the wave nevertheless may reach appreciable amplitude and can cause or modulate flux variabilities from the system we discuss applications of our result to the observed quasiperiodic oscillations from various systems in particular neutron star lowmass xray binaries
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709.3087
X-winds in Action
The interaction of accretion disks with the magnetospheres of young stars can produce X-winds and funnel flows. With the assumption of axial symmetry and steady state flow, the problem can be formulated in terms of quantities that are conserved along streamlines, such as the Bernoulli integral (BI), plus a partial differential equation (PDE), called the Grad-Shafranov equation (GSE), that governs the distribution of streamlines in the meridional plane. The GSE plus BI yields a PDE of mixed type, elliptic before critical surfaces where the flow speed equals certain characteristic wave speeds are crossed and hyperbolic afterward. The computational difficulties are exacerbated by the locations of the critical surfaces not being known in advance. To overcome these obstacles, we consider a variational principle by which the GSE can be attacked by extremizing an action integral, with all other conserved quantities of the problem explicitly included as part of the overall formulation. To simplify actual applications we adopt the cold limit of a negligibly small ratio of the sound speed to the speed of Keplerian rotation in the disk where the X-wind is launched. We also ignore the obstructing effects of any magnetic fields that might thread a disk approximated to be infinitesimally thin. We then introduce trial functions with adjustable coefficients to minimize the variations that give the GSE. We tabulate the resulting coefficients so that other workers can have analytic forms to reconstruct X-wind solutions for various astronomical, cosmochemical, and meteoritical applications.
astro-ph
the interaction of accretion disks with the magnetospheres of young stars can produce xwinds and funnel flows with the assumption of axial symmetry and steady state flow the problem can be formulated in terms of quantities that are conserved along streamlines such as the bernoulli integral bi plus a partial differential equation pde called the gradshafranov equation gse that governs the distribution of streamlines in the meridional plane the gse plus bi yields a pde of mixed type elliptic before critical surfaces where the flow speed equals certain characteristic wave speeds are crossed and hyperbolic afterward the computational difficulties are exacerbated by the locations of the critical surfaces not being known in advance to overcome these obstacles we consider a variational principle by which the gse can be attacked by extremizing an action integral with all other conserved quantities of the problem explicitly included as part of the overall formulation to simplify actual applications we adopt the cold limit of a negligibly small ratio of the sound speed to the speed of keplerian rotation in the disk where the xwind is launched we also ignore the obstructing effects of any magnetic fields that might thread a disk approximated to be infinitesimally thin we then introduce trial functions with adjustable coefficients to minimize the variations that give the gse we tabulate the resulting coefficients so that other workers can have analytic forms to reconstruct xwind solutions for various astronomical cosmochemical and meteoritical applications
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709.3088
A survey of SiO 5-4 emission towards outflows from massive young stellar objects
Results are presented of a survey of SiO 5-4 emission observed with the James Clerk Maxwell Telescope (JCMT) towards a sample of outflows from massive young stellar objects. The sample is drawn from a single-distance study by Ridge & Moore. In a sample of 12 sources, the 5-4 line was detected in 5, a detection rate of 42 per cent. This detection rate is higher than that found for a sample of low-luminosity outflow sources, although for sources of comparable luminosity, it is in good agreement with the results of a previous survey of high luminosity sources. For most of the detected sources, the 5-4 emission is compact or slightly extended along the direction of the outflow. NGC6334I shows a clear bipolar flow in the 5-4 line. Additional data were obtained for W3-IRS5, AFGL5142 and W75N for the 2-1 transition of SiO using the Berkeley-Illinois-Maryland Association (BIMA) millimetre interferometer. There is broad agreement between the appearance of the SiO emission in both lines, though there are some minor differences. The 2-1 emission in AFGL5142 is resolved into two outflow lobes which are spatially coincident on the sky, in good agreement with previous observations. In general the SiO emission is clearly associated with the outflow. The primary indicator of SiO 5-4 detectability is the outflow velocity, i.e. the presence of SiO is an indicator of a high velocity outflow. This result is consistent with the existence of a critical shock velocity required to disrupt dust grains and subsequent SiO formation in post-shock gas. There is also weak evidence that higher luminosity sources and denser outflows are more likely to be detected.
astro-ph
results are presented of a survey of sio 54 emission observed with the james clerk maxwell telescope jcmt towards a sample of outflows from massive young stellar objects the sample is drawn from a singledistance study by ridge moore in a sample of 12 sources the 54 line was detected in 5 a detection rate of 42 per cent this detection rate is higher than that found for a sample of lowluminosity outflow sources although for sources of comparable luminosity it is in good agreement with the results of a previous survey of high luminosity sources for most of the detected sources the 54 emission is compact or slightly extended along the direction of the outflow ngc6334i shows a clear bipolar flow in the 54 line additional data were obtained for w3irs5 afgl5142 and w75n for the 21 transition of sio using the berkeleyillinoismaryland association bima millimetre interferometer there is broad agreement between the appearance of the sio emission in both lines though there are some minor differences the 21 emission in afgl5142 is resolved into two outflow lobes which are spatially coincident on the sky in good agreement with previous observations in general the sio emission is clearly associated with the outflow the primary indicator of sio 54 detectability is the outflow velocity ie the presence of sio is an indicator of a high velocity outflow this result is consistent with the existence of a critical shock velocity required to disrupt dust grains and subsequent sio formation in postshock gas there is also weak evidence that higher luminosity sources and denser outflows are more likely to be detected
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709.3089
Revealing the Nature of Asymmetric Planetary Nebulae through Abundance Analysis
The correlations between planetary nebula (PN) morphology and the nature of their progenitors are explored by examining homogeneous PN samples in the Galaxy and the Magellanic Clouds. We selected PNe with reliable abundances from spectral analysis, and whose morphology is known, and compared the abundances of the element at variance with stellar evolution with the final yields of Asymptotic Giant Branch (AGB) stellar models. We found that most asymmetric PNe derive from the evolution of massive AGB stars both in the Galactic disk and the Magellanic Clouds.
astro-ph
the correlations between planetary nebula pn morphology and the nature of their progenitors are explored by examining homogeneous pn samples in the galaxy and the magellanic clouds we selected pne with reliable abundances from spectral analysis and whose morphology is known and compared the abundances of the element at variance with stellar evolution with the final yields of asymptotic giant branch agb stellar models we found that most asymmetric pne derive from the evolution of massive agb stars both in the galactic disk and the magellanic clouds
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709.309
The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action
The four dimensional Lorentz-breaking finite and determined Chern-Simons like action is generated as a one loop perturbative correction via an appropriate Lorentz-breaking coupling of the gauge field with the spinor field. Unlike the known schemes of calculations, within this scheme this term is found to be regularization independent.
hep-th
the four dimensional lorentzbreaking finite and determined chernsimons like action is generated as a one loop perturbative correction via an appropriate lorentzbreaking coupling of the gauge field with the spinor field unlike the known schemes of calculations within this scheme this term is found to be regularization independent
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709.3091
Derived Algebraic Geometry IV: Deformation Theory
In this paper, we prove some foundational results on the deformation theory of E-infinity ring spectra.
math.AT math.CT
in this paper we prove some foundational results on the deformation theory of einfinity ring spectra
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709.3092
The fundamental form of a homogeneous Lagrangian in two independent variables
We construct, for a homogeneous Lagrangian of arbitrary order in two independent variables, a differential 2-form with the property that it is closed precisely when the Lagrangian is null. This is similar to the property of the `fundamental Lepage equivalent' associated with first-order Lagrangians defined on jets of sections of a fibred manifold.
math.DG
we construct for a homogeneous lagrangian of arbitrary order in two independent variables a differential 2form with the property that it is closed precisely when the lagrangian is null this is similar to the property of the fundamental lepage equivalent associated with firstorder lagrangians defined on jets of sections of a fibred manifold
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709.3093
Short Timescale Coronal Variability in Capella
We analyze 205 ks of imaging data of the active binary, Capella, obtained with the Chandra High Resolution Camera Imager (HRC-I) to determine whether Capella shows any variability at timescales < 50 ks. We find that a clear signal for variability is present for timescales < 20 ks, and that the light curves show evidence for excess fluctuation over that expected from a purely Poisson process. This overdispersion is consistent with variability at the 2-7% level, and suggests that the coronae on the binary components of Capella are composed of low-density plasma and low-lying loops.
astro-ph
we analyze 205 ks of imaging data of the active binary capella obtained with the chandra high resolution camera imager hrci to determine whether capella shows any variability at timescales 50 ks we find that a clear signal for variability is present for timescales 20 ks and that the light curves show evidence for excess fluctuation over that expected from a purely poisson process this overdispersion is consistent with variability at the 27 level and suggests that the coronae on the binary components of capella are composed of lowdensity plasma and lowlying loops
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709.3094
Transition from small to large world in growing networks
We examine the global organization of growing networks in which a new vertex is attached to already existing ones with a probability depending on their age. We find that the network is infinite- or finite-dimensional depending on whether the attachment probability decays slower or faster than $(age)^{-1}$. The network becomes one-dimensional when the attachment probability decays faster than $(age)^{-2}$. We describe structural characteristics of these phases and transitions between them.
cond-mat.stat-mech cs.NI math-ph math.MP physics.soc-ph
we examine the global organization of growing networks in which a new vertex is attached to already existing ones with a probability depending on their age we find that the network is infinite or finitedimensional depending on whether the attachment probability decays slower or faster than age1 the network becomes onedimensional when the attachment probability decays faster than age2 we describe structural characteristics of these phases and transitions between them
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709.3095
Integrable lattice equations and their growth properties
In this paper we investigate the integrability of two-dimensional partial difference equations using the newly developed techniques of study of the degree of the iterates. We show that while for generic, nonintegrable equations, the degree grows exponentially fast, for integrable lattice equations the degree growth is polynomial. The growth criterion is used in order to obtain the integrable deautonomisations of the equations examined. In the case of linearisable lattice equations we show that the degree growth is slower than in the case of equations integrable through Inverse Scattering Transform techniques.
math-ph math.MP
in this paper we investigate the integrability of twodimensional partial difference equations using the newly developed techniques of study of the degree of the iterates we show that while for generic nonintegrable equations the degree grows exponentially fast for integrable lattice equations the degree growth is polynomial the growth criterion is used in order to obtain the integrable deautonomisations of the equations examined in the case of linearisable lattice equations we show that the degree growth is slower than in the case of equations integrable through inverse scattering transform techniques
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709.3096
Remarks on Dynamical Dark Energy Measured by the Conformal Age of the Universe
We elaborate on a model of conformal dark energy (dynamical dark energy measured by the conformal age of the universe) recently proposed in [H. Wei and R.G. Cai, arXiv:0708.0884] where the present-day dark energy density was taken to be $\rho_q \equiv 3 \alpha^2 m_P^2/\eta^2$, where $\eta$ is the conformal time and $\alpha$ is a numerical constant. In the absence of an interaction between the ordinary matter and dark energy field $q$, the model may be adjusted to the present values of the dark energy density fraction $\Omega\Z{q} \simeq 0.73$ and the equation of state parameter $w\Z{q} < -0.78$, if the numerical constant $\alpha$ takes a reasonably large value, $\alpha\gtrsim 2.6$. However, in the presence of a nontrivial gravitational coupling of $q$-field to matter, say $\widetilde{Q}$, the model may be adjusted to the values $\Omega\Z{q}\simeq 0.73$ and $w\Z{q}\simeq -1$, even if $\alpha\sim {\cal O}(1)$, given that the present value of $\widetilde{Q}$ is large. Unlike for the model in [R.G. Cai, arXiv:0707.4049], the bound $\Omega\Z{q} <0.1$ during big bang nucleosynthesis (BBN) may be satisfied for almost any value of $\alpha$. Here we discuss some other limitations of this proposal as a viable dark energy model. The model draws some parallels with the holographic dark energy; we also briefly comment on the latter model.
hep-th astro-ph gr-qc hep-ph
we elaborate on a model of conformal dark energy dynamical dark energy measured by the conformal age of the universe recently proposed in h wei and rg cai arxiv07080884 where the presentday dark energy density was taken to be rho_q equiv 3 alpha2 m_p2eta2 where eta is the conformal time and alpha is a numerical constant in the absence of an interaction between the ordinary matter and dark energy field q the model may be adjusted to the present values of the dark energy density fraction omegazq simeq 073 and the equation of state parameter wzq 078 if the numerical constant alpha takes a reasonably large value alphagtrsim 26 however in the presence of a nontrivial gravitational coupling of qfield to matter say widetildeq the model may be adjusted to the values omegazqsimeq 073 and wzqsimeq 1 even if alphasim cal o1 given that the present value of widetildeq is large unlike for the model in rg cai arxiv07074049 the bound omegazq 01 during big bang nucleosynthesis bbn may be satisfied for almost any value of alpha here we discuss some other limitations of this proposal as a viable dark energy model the model draws some parallels with the holographic dark energy we also briefly comment on the latter model
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709.3097
Efficient electron heating in relativistic shocks and gamma ray burst afterglow
Electrons in shocks are efficiently energized due to the cross-shock potential, which develops because of differential deflection of electrons and ions by the magnetic field in the shock front. The electron energization is necessarily accompanied by scattering and thermalization. The mechanism is efficient in both magnetized and non-magnetized relativistic electron-ion shocks. It is proposed that the synchrotron emission from the heated electrons in a layer of strongly enhanced magnetic field is responsible for gamma ray burst afterglows.
astro-ph
electrons in shocks are efficiently energized due to the crossshock potential which develops because of differential deflection of electrons and ions by the magnetic field in the shock front the electron energization is necessarily accompanied by scattering and thermalization the mechanism is efficient in both magnetized and nonmagnetized relativistic electronion shocks it is proposed that the synchrotron emission from the heated electrons in a layer of strongly enhanced magnetic field is responsible for gamma ray burst afterglows
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709.3098
Biases in Virial Black Hole Masses: An SDSS Perspective
We compile black hole (BH) masses for $\sim 60,000$ quasars in the redshift range $0.1 \lesssim z \lesssim 4.5$ included in the Fifth Data Release of the Sloan Digital Sky Survey (SDSS), using virial BH mass estimators based on the \hbeta, \MgII, and \CIV emission lines. We find that: (1) within our sample, the widths of the three lines follow log-normal distributions, with means and dispersions that do not depend strongly on luminosity or redshift;(2) the \MgII- and \hbeta-estimated BH masses are consistent with one another; and (3) the \CIV BH mass estimator may be more severely affected by a disk wind component than the \MgII and \hbeta estimators, giving a positive bias in mass correlated with the \CIV-\MgII blueshift. Most SDSS quasars have virial BH masses in the range $10^8-10^9 M_\odot$. There is a clear upper mass limit of $\sim 10^{10} M_\odot$ for active BHs at $z \gtrsim 2$, decreasing at lower redshifts. Making the reasonable assumptions that the underlying BH mass distribution decreases with mass and that the Eddington ratio distribution at fixed BH mass has non-zero width, we show that the measured virial BH mass distribution and Eddington ratio distribution are subject to Malmquist bias. A radio quasar subsample (with $1.5\lesssim z\lesssim 2.3$) has mean virial BH mass larger by $\sim 0.12$ dex than the whole sample. A broad absorption line (BAL) quasar subsample (with $1.7\lesssim z\lesssim 2.2$) has identical virial mass distribution as the nonBAL sample, with no mean offset. (Abridged)
astro-ph
we compile black hole bh masses for sim 60000 quasars in the redshift range 01 lesssim z lesssim 45 included in the fifth data release of the sloan digital sky survey sdss using virial bh mass estimators based on the hbeta mgii and civ emission lines we find that 1 within our sample the widths of the three lines follow lognormal distributions with means and dispersions that do not depend strongly on luminosity or redshift2 the mgii and hbetaestimated bh masses are consistent with one another and 3 the civ bh mass estimator may be more severely affected by a disk wind component than the mgii and hbeta estimators giving a positive bias in mass correlated with the civmgii blueshift most sdss quasars have virial bh masses in the range 108109 m_odot there is a clear upper mass limit of sim 1010 m_odot for active bhs at z gtrsim 2 decreasing at lower redshifts making the reasonable assumptions that the underlying bh mass distribution decreases with mass and that the eddington ratio distribution at fixed bh mass has nonzero width we show that the measured virial bh mass distribution and eddington ratio distribution are subject to malmquist bias a radio quasar subsample with 15lesssim zlesssim 23 has mean virial bh mass larger by sim 012 dex than the whole sample a broad absorption line bal quasar subsample with 17lesssim zlesssim 22 has identical virial mass distribution as the nonbal sample with no mean offset abridged
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709.3099
Emil Rupp, Albert Einstein and the canal ray experiments on wave-particle duality: Scientific fraud and theoretical bias
In 1926 Emil Rupp published a number of papers on the interference properties of light emitted by canal ray sources. These articles, particularly one paper that came into being in collaboration with Albert Einstein, drew quite some attention as they probed the wave versus particle nature of light. They also significantly propelled Rupp's career, even though that from the outset they were highly controversial. This article will review this episode, and in particular Rupp's collaboration with Einstein. Evidence that Rupp forged his results is presented and their critical reception in the socially and politically divided German physics community is discussed. These divisions fail to explain the full dynamic; the latter is attempted by turning to the role that theoretical bias on occasion has in assessing experiment. Einstein's responses in particular are analyzed in this context.
physics.hist-ph
in 1926 emil rupp published a number of papers on the interference properties of light emitted by canal ray sources these articles particularly one paper that came into being in collaboration with albert einstein drew quite some attention as they probed the wave versus particle nature of light they also significantly propelled rupps career even though that from the outset they were highly controversial this article will review this episode and in particular rupps collaboration with einstein evidence that rupp forged his results is presented and their critical reception in the socially and politically divided german physics community is discussed these divisions fail to explain the full dynamic the latter is attempted by turning to the role that theoretical bias on occasion has in assessing experiment einsteins responses in particular are analyzed in this context
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709.31
The Neutron EDM Experiment
The neutron EDM experiment has played an important part over many decades in shaping and constraining numerous models of CP violation. This review article discusses some of the techniques used to calculate EDMs under various theoretical scenarios, and highlights some of the implications of EDM limits upon such models. A pedagogical introduction is given to the experimental techniques employed in the recently completed ILL experiment, including a brief discussion of the dominant systematic uncertainties. A new and much more sensitive version of the experiment, which is currently under development, is also outlined.
hep-ex
the neutron edm experiment has played an important part over many decades in shaping and constraining numerous models of cp violation this review article discusses some of the techniques used to calculate edms under various theoretical scenarios and highlights some of the implications of edm limits upon such models a pedagogical introduction is given to the experimental techniques employed in the recently completed ill experiment including a brief discussion of the dominant systematic uncertainties a new and much more sensitive version of the experiment which is currently under development is also outlined
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709.3101
Is our Sun a Singleton?
Most stars are formed in a cluster or association, where the number density of stars can be high. This means that a large fraction of initially-single stars will undergo close encounters with other stars and/or exchange into binaries. We describe how such close encounters and exchange encounters can affect the properties of a planetary system around a single star. We define a singleton as a single star which has never suffered close encounters with other stars or spent time within a binary system. It may be that planetary systems similar to our own solar system can only survive around singletons. Close encounters or the presence of a stellar companion will perturb the planetary system, often leaving planets on tighter and more eccentric orbits. Thus planetary systems which initially resembled our own solar system may later more closely resemble some of the observed exoplanet systems.
astro-ph
most stars are formed in a cluster or association where the number density of stars can be high this means that a large fraction of initiallysingle stars will undergo close encounters with other stars andor exchange into binaries we describe how such close encounters and exchange encounters can affect the properties of a planetary system around a single star we define a singleton as a single star which has never suffered close encounters with other stars or spent time within a binary system it may be that planetary systems similar to our own solar system can only survive around singletons close encounters or the presence of a stellar companion will perturb the planetary system often leaving planets on tighter and more eccentric orbits thus planetary systems which initially resembled our own solar system may later more closely resemble some of the observed exoplanet systems
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709.3102
Cosmology and the Unexpected
In these two lectures I will discuss some outstanding problems in the standard model of cosmology, concentrating on the physics that might be related to the title of this school, ``Searching for the totally unexpected in the LHC era.'' In particular, I will concentrate on dark energy, dark matter, and inflation.
astro-ph
in these two lectures i will discuss some outstanding problems in the standard model of cosmology concentrating on the physics that might be related to the title of this school searching for the totally unexpected in the lhc era in particular i will concentrate on dark energy dark matter and inflation
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709.3103
[OIII] 5007 Emission from the Black-Hole X-ray Binary in a NGC 4472 Globular Cluster
We present the discovery of [OIII] 5007 emission associated with the black hole X-ray binary recently identified in a globular cluster in the Virgo elliptical galaxy NGC 4472. This object is the first confirmed black-hole X-ray binary in a globular cluster. The identification of [OIII] 5007 emission from the black-hole hosting globular cluster is based on two independent fiber spectra obtained at the VLT with FLAMES, which cover a wavelength range of 5000-5800 Angstrom at a spectral resolution of about 6000. In each of these spectra we find an emission line at 5031.2 Angstrom with an uncertainty of several tenths of an Angstrom. These are consistent with [OIII] 5007 emission at the 1475 +/- 7 km/s radial velocity of the globular cluster previously determined from an analysis of its absorption lines. This agreement within the small uncertainties argues strongly in favor of the interpretation of the line as [OIII] 5007 emission from the black-hole hosting globular cluster. We also find that the emission line most likely has a velocity width of several hundred km/s. Such a velocity width rules out a planetary nebula explanation for the [OIII] 5007 emission and implicates the black hole as the source of the power driving the nebular emission.
astro-ph
we present the discovery of oiii 5007 emission associated with the black hole xray binary recently identified in a globular cluster in the virgo elliptical galaxy ngc 4472 this object is the first confirmed blackhole xray binary in a globular cluster the identification of oiii 5007 emission from the blackhole hosting globular cluster is based on two independent fiber spectra obtained at the vlt with flames which cover a wavelength range of 50005800 angstrom at a spectral resolution of about 6000 in each of these spectra we find an emission line at 50312 angstrom with an uncertainty of several tenths of an angstrom these are consistent with oiii 5007 emission at the 1475 7 kms radial velocity of the globular cluster previously determined from an analysis of its absorption lines this agreement within the small uncertainties argues strongly in favor of the interpretation of the line as oiii 5007 emission from the blackhole hosting globular cluster we also find that the emission line most likely has a velocity width of several hundred kms such a velocity width rules out a planetary nebula explanation for the oiii 5007 emission and implicates the black hole as the source of the power driving the nebular emission
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709.3104
Linearized force constants method for lattice dynamics in mixed semiconductors
A simple and accurate method of calculating phonon spectra in mixed semiconductors alloys, on the basis of preliminarily (from first principles) relaxed atomic structure, is proposed and tested for (Zn,Be)Se and (Ga,In)As solid solutions. The method uses an observation that the interatomic force constants, calculated ab initio for a number of microscopic configurations in the systems cited, show a clear linear variation of the main (diagonal) values of the interatomic force constants with the corresponding bond length. We formulate simple rules about how to recover the individual 3x3 subblocks of the force constants matrix in their local (bonds-related) coordinate systems and how to transform them into a global (crystal cell-related) coordinate system. Test calculations done for 64-atom supercells representing different concentrations of (Zn,Be)Se and (Ga,In)As show that the phonon frequencies and compositions of eigenvectors are faithfully reproduced in a linearized force constants calculation, as compared to true ab initio calculations.
cond-mat.mtrl-sci cond-mat.dis-nn
a simple and accurate method of calculating phonon spectra in mixed semiconductors alloys on the basis of preliminarily from first principles relaxed atomic structure is proposed and tested for znbese and gainas solid solutions the method uses an observation that the interatomic force constants calculated ab initio for a number of microscopic configurations in the systems cited show a clear linear variation of the main diagonal values of the interatomic force constants with the corresponding bond length we formulate simple rules about how to recover the individual 3x3 subblocks of the force constants matrix in their local bondsrelated coordinate systems and how to transform them into a global crystal cellrelated coordinate system test calculations done for 64atom supercells representing different concentrations of znbese and gainas show that the phonon frequencies and compositions of eigenvectors are faithfully reproduced in a linearized force constants calculation as compared to true ab initio calculations
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709.3105
Quasi-Particle Degrees of Freedom versus the Perfect Fluid as Descriptors of the Quark-Gluon Plasma
The hot nuclear matter created at the Relativistic Heavy Ion Collider (RHIC) has been characterized by near-perfect fluid behavior. We demonstrate that this stands in contradiction to the identification of QCD quasi-particles with the thermodynamic degrees of freedom in the early (fluid) stage of heavy ion collisions. The empirical observation of constituent quark ``$n_q$'' scaling of elliptic flow is juxtaposed with the lack of such scaling behavior in hydrodynamic fluid calculations followed by Cooper-Frye freeze-out to hadrons. A ``quasi-particle transport'' time stage after viscous effects break down the hydrodynamic fluid stage, but prior to hadronization, is proposed to reconcile these apparent contradictions. However, without a detailed understanding of the transitions between these stages, the ``$n_q$'' scaling is not a necessary consequence of this prescription. Also, if the duration of this stage is too short, it may not support well defined quasi-particles. By comparing and contrasting the coalescence of quarks into hadrons with the similar process of producing light nuclei from nucleons, it is shown that the observation of ``$n_{q}$'' scaling in the final state does not necessarily imply that the constituent degrees of freedom were the relevant ones in the initial state.
nucl-th
the hot nuclear matter created at the relativistic heavy ion collider rhic has been characterized by nearperfect fluid behavior we demonstrate that this stands in contradiction to the identification of qcd quasiparticles with the thermodynamic degrees of freedom in the early fluid stage of heavy ion collisions the empirical observation of constituent quark n_q scaling of elliptic flow is juxtaposed with the lack of such scaling behavior in hydrodynamic fluid calculations followed by cooperfrye freezeout to hadrons a quasiparticle transport time stage after viscous effects break down the hydrodynamic fluid stage but prior to hadronization is proposed to reconcile these apparent contradictions however without a detailed understanding of the transitions between these stages the n_q scaling is not a necessary consequence of this prescription also if the duration of this stage is too short it may not support well defined quasiparticles by comparing and contrasting the coalescence of quarks into hadrons with the similar process of producing light nuclei from nucleons it is shown that the observation of n_q scaling in the final state does not necessarily imply that the constituent degrees of freedom were the relevant ones in the initial state
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709.3106
ZZ branes from a worldsheet perspective
We show how non-compact space-time (ZZ branes) emerges as a limit of compact space-time (FZZT branes) for specific ratios between the square of the boundary cosmological constant and the bulk cosmological constant in the (2,2m - 1) minimal model coupled to two-dimensional euclidean quantum gravity. Furthermore, we show that the principal (r,s) ZZ brane can be viewed as the basic (1,1) ZZ boundary state tensored with a (r,s) Cardy boundary state for a general (p,q) minimal model coupled to two-dimensional quantum gravity. In this sense there exists only one ZZ boundary state, the basic (1,1) boundary state.
hep-th
we show how noncompact spacetime zz branes emerges as a limit of compact spacetime fzzt branes for specific ratios between the square of the boundary cosmological constant and the bulk cosmological constant in the 22m 1 minimal model coupled to twodimensional euclidean quantum gravity furthermore we show that the principal rs zz brane can be viewed as the basic 11 zz boundary state tensored with a rs cardy boundary state for a general pq minimal model coupled to twodimensional quantum gravity in this sense there exists only one zz boundary state the basic 11 boundary state
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709.3107
Formation of Kuiper Belt Binaries
The discovery that a substantial fraction of Kuiper Belt objects (KBOs) exists in binaries with wide separations and roughly equal masses, has motivated a variety of new theories explaining their formation. Goldreich et al. (2002) proposed two formation scenarios: In the first, a transient binary is formed, which becomes bound with the aid of dynamical friction from the sea of small bodies (L^2s mechanism); in the second, a binary is formed by three body gravitational deflection (L^3 mechanism). Here, we accurately calculate the L^2s and L^3 formation rates for sub-Hill velocities. While the L^2s formation rate is close to previous order of magnitude estimates, the L^3 formation rate is about a factor of 4 smaller. For sub-Hill KBO velocities (v << v_H) the ratio of the L^3 to the L^2s formation rate is 0.05 (v/v_H) independent of the small bodies' velocity dispersion, their surface density or their mutual collisions. For Super-Hill velocities (v >> v_H) the L^3 mechanism dominates over the L^2s mechanism. Binary formation via the L^3 mechanism competes with binary destruction by passing bodies. Given sufficient time, a statistical equilibrium abundance of binaries forms. We show that the frequency of long-lived transient binaries drops exponentially with the system's lifetime and that such transient binaries are not important for binary formation via the L^3 mechanism, contrary to Lee et al. (2007). For the L^2s mechanism we find that the typical time, transient binaries must last, to form Kuiper Belt binaries (KBBs) for a given strength of dynamical friction, D, increases only logarithmically with D. Longevity of transient binaries only becomes important for very weak dynamical friction (i.e. D \lesssim 0.002) and is most likely not crucial for KBB formation.
astro-ph
the discovery that a substantial fraction of kuiper belt objects kbos exists in binaries with wide separations and roughly equal masses has motivated a variety of new theories explaining their formation goldreich et al 2002 proposed two formation scenarios in the first a transient binary is formed which becomes bound with the aid of dynamical friction from the sea of small bodies l2s mechanism in the second a binary is formed by three body gravitational deflection l3 mechanism here we accurately calculate the l2s and l3 formation rates for subhill velocities while the l2s formation rate is close to previous order of magnitude estimates the l3 formation rate is about a factor of 4 smaller for subhill kbo velocities v v_h the ratio of the l3 to the l2s formation rate is 005 vv_h independent of the small bodies velocity dispersion their surface density or their mutual collisions for superhill velocities v v_h the l3 mechanism dominates over the l2s mechanism binary formation via the l3 mechanism competes with binary destruction by passing bodies given sufficient time a statistical equilibrium abundance of binaries forms we show that the frequency of longlived transient binaries drops exponentially with the systems lifetime and that such transient binaries are not important for binary formation via the l3 mechanism contrary to lee et al 2007 for the l2s mechanism we find that the typical time transient binaries must last to form kuiper belt binaries kbbs for a given strength of dynamical friction d increases only logarithmically with d longevity of transient binaries only becomes important for very weak dynamical friction ie d lesssim 0002 and is most likely not crucial for kbb formation
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709.3108
Integrable systems without the Painlev\'e property
We examine whether the Painlev\'e property is a necessary condition for the integrability of nonlinear ordinary differential equations. We show that for a large class of linearisable systems this is not the case. In the discrete domain, we investigate whether the singularity confinement property is satisfied for the discrete analogues of the non-Painlev\'e continuous linearisable systems. We find that while these discrete systems are themselves linearisable, they possess nonconfined singularities.
math-ph math.MP
we examine whether the painleve property is a necessary condition for the integrability of nonlinear ordinary differential equations we show that for a large class of linearisable systems this is not the case in the discrete domain we investigate whether the singularity confinement property is satisfied for the discrete analogues of the nonpainleve continuous linearisable systems we find that while these discrete systems are themselves linearisable they possess nonconfined singularities
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709.3109
Morphology of Fine-Particle Monolayers Deposited on Nanopatterned Substrates
We study the effect of the presence of a regular substrate pattern on the irreversible adsorption of nanosized and colloid particles. Deposition of disks of radius $r_0$ is considered, with the allowed regions for their center attachment at the planar surface consisting of square cells arranged in a square lattice pattern. We study the jammed state properties of a generalized version of the random sequential adsorption model for different values of the cell size, $a$, and cell-cell separation, $b$. The model shows a surprisingly rich behavior in the space of the two dimensionless parameters $\alpha=a/2r_0$ and $\beta=b/2r_0$. Extensive Monte Carlo simulations for system sizes of $500\times500$ square lattice unit cells were performed by utilizing an efficient algorithm, to characterize the jammed state morphology.
cond-mat.stat-mech cond-mat.mtrl-sci cond-mat.soft
we study the effect of the presence of a regular substrate pattern on the irreversible adsorption of nanosized and colloid particles deposition of disks of radius r_0 is considered with the allowed regions for their center attachment at the planar surface consisting of square cells arranged in a square lattice pattern we study the jammed state properties of a generalized version of the random sequential adsorption model for different values of the cell size a and cellcell separation b the model shows a surprisingly rich behavior in the space of the two dimensionless parameters alphaa2r_0 and betab2r_0 extensive monte carlo simulations for system sizes of 500times500 square lattice unit cells were performed by utilizing an efficient algorithm to characterize the jammed state morphology
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709.311
A tail inequality for suprema of unbounded empirical processes with applications to Markov chains
We present a tail inequality for suprema of empirical processes generated by variables with finite $\psi_\alpha$ norms and apply it to some geometrically ergodic Markov chains to derive similar estimates for empirical processes of such chains, generated by bounded functions. We also obtain a bounded difference inequality for symmetric statistics of such Markov chains.
math.PR
we present a tail inequality for suprema of empirical processes generated by variables with finite psi_alpha norms and apply it to some geometrically ergodic markov chains to derive similar estimates for empirical processes of such chains generated by bounded functions we also obtain a bounded difference inequality for symmetric statistics of such markov chains
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709.3111
Spinors for Spinning p-Branes
The group of the p-brane world volume preserving diffeomorphism is considered. The infinite-dimensional spinors of this group are related, by the nonlinear realization techniques, to the corresponding spinors of its linear subgroup, that are constructed explicitly. An algebraic construction of the Virasoro and Neveu-Schwarz-Ramond algebras, based on this infinite-dimensional spinors and tensors, is demonstrated.
hep-th
the group of the pbrane world volume preserving diffeomorphism is considered the infinitedimensional spinors of this group are related by the nonlinear realization techniques to the corresponding spinors of its linear subgroup that are constructed explicitly an algebraic construction of the virasoro and neveuschwarzramond algebras based on this infinitedimensional spinors and tensors is demonstrated
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709.3112
Lie point symmetries of difference equations and lattices
A method is presented for finding the Lie point symmetry transformations acting simultaneously on difference equations and lattices, while leaving the solution set of the corresponding difference scheme invariant. The method is applied to several examples. The found symmetry groups are used to obtain particular solutions of differential-difference equations.
math-ph math.MP
a method is presented for finding the lie point symmetry transformations acting simultaneously on difference equations and lattices while leaving the solution set of the corresponding difference scheme invariant the method is applied to several examples the found symmetry groups are used to obtain particular solutions of differentialdifference equations
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709.3113
Point Sources from a Spitzer IRAC Survey of the Galactic Center
We have obtained Spitzer/IRAC observations of the central 2.0 x 1.4 degrees (~280 x 200 pc) of the Galaxy at 3.6-8.0 microns. A point source catalog of 1,065,565 objects is presented. The catalog includes magnitudes for the point sources at 3.6, 4.5, 5.8, and 8.0 microns, as well as JHK photometry from 2MASS. The point source catalog is confusion limited with average limits of 12.4, 12.1, 11.7, and 11.2 magnitudes for [3.6], [4.5], [5.8], and [8.0], respectively. We find that the confusion limits are spatially variable because of stellar surface density, background surface brightness level, and extinction variations across the survey region. The overall distribution of point source density with Galactic latitude and longitude is essentially constant, but structure does appear when sources of different magnitude ranges are selected. Bright stars show a steep decreasing gradient with Galactic latitude, and a slow decreasing gradient with Galactic longitude, with a peak at the position of the Galactic center. From IRAC color-magnitude and color-color diagrams, we conclude that most of the point sources in our catalog have IRAC magnitudes and colors characteristic of red giant and AGB stars.
astro-ph
we have obtained spitzerirac observations of the central 20 x 14 degrees 280 x 200 pc of the galaxy at 3680 microns a point source catalog of 1065565 objects is presented the catalog includes magnitudes for the point sources at 36 45 58 and 80 microns as well as jhk photometry from 2mass the point source catalog is confusion limited with average limits of 124 121 117 and 112 magnitudes for 36 45 58 and 80 respectively we find that the confusion limits are spatially variable because of stellar surface density background surface brightness level and extinction variations across the survey region the overall distribution of point source density with galactic latitude and longitude is essentially constant but structure does appear when sources of different magnitude ranges are selected bright stars show a steep decreasing gradient with galactic latitude and a slow decreasing gradient with galactic longitude with a peak at the position of the galactic center from irac colormagnitude and colorcolor diagrams we conclude that most of the point sources in our catalog have irac magnitudes and colors characteristic of red giant and agb stars
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709.3114
Prospects For Detecting Dark Matter With GLAST In Light Of The WMAP Haze
Observations by the WMAP experiment have identified an excess of microwave emission from the center of the Milky Way. It has previously been shown that this "WMAP Haze" could be synchrotron emission from relativistic electrons and positrons produced in the annihilations of dark matter particles. In particular, the intensity, spectrum and angular distribution of the WMAP Haze is consistent with an electroweak scale dark matter particle (such as a supersymmetric neutralino or Kaluza-Klein dark matter in models with universal extra dimensions) annihilating with a cross section on the order of sigma v~3x10^-26 cm^3/s and distributed with a cusped halo profile. No further exotic astrophysical or annihilation boost factors are required. If dark matter annihilations are in fact responsible for the observed Haze, then other annihilation products will also be produced, including gamma rays. In this article, we study the prospects for the GLAST satellite to detect gamma rays from dark matter annihilations in the Galactic Center region in this scenario. We find that by studying only the inner 0.1 degrees around the Galactic Center, GLAST will be able to detect dark matter annihilating to heavy quarks or gauge bosons over astrophysical backgrounds with 5sigma (3sigma) significance if they are lighter than approximately 320-500 GeV (500-750 GeV). If the angular window is broadened to study the dark matter halo profile's angular extension (while simultaneously reducing the astrophysical backgrounds), WIMPs as heavy as several TeV can be identified by GLAST with high significance. Only if the dark matter particles annihilate mostly to electrons or muons will GLAST be unable to identify the gamma ray spectrum associated with the WMAP Haze.
astro-ph hep-ph
observations by the wmap experiment have identified an excess of microwave emission from the center of the milky way it has previously been shown that this wmap haze could be synchrotron emission from relativistic electrons and positrons produced in the annihilations of dark matter particles in particular the intensity spectrum and angular distribution of the wmap haze is consistent with an electroweak scale dark matter particle such as a supersymmetric neutralino or kaluzaklein dark matter in models with universal extra dimensions annihilating with a cross section on the order of sigma v3x1026 cm3s and distributed with a cusped halo profile no further exotic astrophysical or annihilation boost factors are required if dark matter annihilations are in fact responsible for the observed haze then other annihilation products will also be produced including gamma rays in this article we study the prospects for the glast satellite to detect gamma rays from dark matter annihilations in the galactic center region in this scenario we find that by studying only the inner 01 degrees around the galactic center glast will be able to detect dark matter annihilating to heavy quarks or gauge bosons over astrophysical backgrounds with 5sigma 3sigma significance if they are lighter than approximately 320500 gev 500750 gev if the angular window is broadened to study the dark matter halo profiles angular extension while simultaneously reducing the astrophysical backgrounds wimps as heavy as several tev can be identified by glast with high significance only if the dark matter particles annihilate mostly to electrons or muons will glast be unable to identify the gamma ray spectrum associated with the wmap haze
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709.3115
Cayley cones ruled by 2-planes: desingularization and implications of the twistor fibration
Cayley cones in the octonions $\mathbb{O}$ that are ruled by oriented 2-planes are equivalent to pseudoholomorphic curves in the Grassmannian of oriented 2-planes G(2,8). The well known twistor fibration $G(2,8) -> S^6$ is used to prove the existence of immersed higher-genus pseudoholomorphic curves in $\gro$. Equivalently, this produces Cayley cones whose links are $S^1$-bundles over genus-$g$ Riemann surfaces. When the degree of an immersed pseudoholomorphic curve is large enough, the corresponding 2-ruled Cayley cone is the asymptotic cone of a non-conical 2-ruled Cayley 4-fold.
math.DG
cayley cones in the octonions mathbbo that are ruled by oriented 2planes are equivalent to pseudoholomorphic curves in the grassmannian of oriented 2planes g28 the well known twistor fibration g28 s6 is used to prove the existence of immersed highergenus pseudoholomorphic curves in gro equivalently this produces cayley cones whose links are s1bundles over genusg riemann surfaces when the degree of an immersed pseudoholomorphic curve is large enough the corresponding 2ruled cayley cone is the asymptotic cone of a nonconical 2ruled cayley 4fold
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709.3116
Invariants of the nilpotent and solvable triangular Lie algebras
Invariants of the coadjoint representation of two classes of Lie algebras are calculated. The first class consists of the nilpotent Lie algebras $T(M)$, isomorphic to the algebras of upper triangular $M\times M$ matrices. The Lie algebra $T(M)$ is shown to have $[M/2]$ functionally independent invariants. They can all be chosen to be polynomials and they are presented explicitly. The second class consists of the solvable Lie algebras $L(M,f)$ with $T(M)$ as their nilradical and $f$ additional linearly nilindependent elements. Some general results on the invariants of $L(M,f)$ are given and the cases M=4 for all $f$ and $f=1$, or $f=M-1$ for all $M$ are treated in detail.
math-ph math.MP
invariants of the coadjoint representation of two classes of lie algebras are calculated the first class consists of the nilpotent lie algebras tm isomorphic to the algebras of upper triangular mtimes m matrices the lie algebra tm is shown to have m2 functionally independent invariants they can all be chosen to be polynomials and they are presented explicitly the second class consists of the solvable lie algebras lmf with tm as their nilradical and f additional linearly nilindependent elements some general results on the invariants of lmf are given and the cases m4 for all f and f1 or fm1 for all m are treated in detail
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709.3117
Statistics of Partial Minima
Motivated by multi-objective optimization, we study extrema of a set of N points independently distributed inside the d-dimensional hypercube. A point in this set is k-dominated by another point when at least k of its coordinates are larger, and is a k-minimum if it is not k-dominated by any other point. We obtain statistical properties of these partial minima using exact probabilistic methods and heuristic scaling techniques. The average number of partial minima, A, decays algebraically with the total number of points, A ~ N^{-(d-k)/k}, when 1<=k<d. Interestingly, there are k-1 distinct scaling laws characterizing the largest coordinates as the distribution P(y_j) of the jth largest coordinate, y_j, decays algebraically, P(y_j) ~ (y_j)^{-alpha_j-1}, with alpha_j=j(d-k)/(k-j) for 1<=j<=k-1. The average number of partial minima grows logarithmically, A ~ [1/(d-1)!](ln N)^{d-1}, when k=d. The full distribution of the number of minima is obtained in closed form in two-dimensions.
cond-mat.stat-mech
motivated by multiobjective optimization we study extrema of a set of n points independently distributed inside the ddimensional hypercube a point in this set is kdominated by another point when at least k of its coordinates are larger and is a kminimum if it is not kdominated by any other point we obtain statistical properties of these partial minima using exact probabilistic methods and heuristic scaling techniques the average number of partial minima a decays algebraically with the total number of points a ndkk when 1kd interestingly there are k1 distinct scaling laws characterizing the largest coordinates as the distribution py_j of the jth largest coordinate y_j decays algebraically py_j y_jalpha_j1 with alpha_jjdkkj for 1jk1 the average number of partial minima grows logarithmically a 1d1ln nd1 when kd the full distribution of the number of minima is obtained in closed form in twodimensions
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709.3118
Constraining white-dwarf kicks in globular clusters : II. Observational Significance
If the winds of an asymptotic-giant-branch stars are sufficiently strong are slightly asymmetric, they can alter the star's trajectory through a globular cluster; therefore, if these winds are asymmetric, one would expect young white dwarfs to be less radially concentrated than either their progenitors or older white dwarfs in globular clusters. This latter effect has recently been observed. Additionally the young white dwarfs should have larger typical velocities than their progenitors. After phase mixing this latter effect is vastly diminished relative to the changes in the spatial distribution of young white dwarfs with kicks, so it is more difficult to detect than the change in the spatial distribution. The most powerful kinematic signature is the change in the eccentricity of the orbits that is revealed through the distribution of the position angles of proper motion.
astro-ph
if the winds of an asymptoticgiantbranch stars are sufficiently strong are slightly asymmetric they can alter the stars trajectory through a globular cluster therefore if these winds are asymmetric one would expect young white dwarfs to be less radially concentrated than either their progenitors or older white dwarfs in globular clusters this latter effect has recently been observed additionally the young white dwarfs should have larger typical velocities than their progenitors after phase mixing this latter effect is vastly diminished relative to the changes in the spatial distribution of young white dwarfs with kicks so it is more difficult to detect than the change in the spatial distribution the most powerful kinematic signature is the change in the eccentricity of the orbits that is revealed through the distribution of the position angles of proper motion
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709.3119
Spitzer Mid-Infrared Spectroscopy of 70um-Selected Distant Luminous Infrared Galaxies
We present mid-infrared spectroscopy obtained with the Spitzer Space Telescope of a sample of 11 optically faint, infrared luminous galaxies selected from a Spitzer MIPS 70um imaging survey of the NDWFS Bootes field. These are the first Spitzer IRS spectra presented of distant 70um-selected sources. All the galaxies lie at redshifts 0.3<z<1.3 and have very large infrared luminosities of L_IR~ 0.1-17 x 10^12 solar luminosities. Seven of the galaxies exhibit strong emission features attributed to polycyclic aromatic hydrocarbons (PAHs). The average IRS spectrum of these sources is characteristic of classical starburst galaxies, but with much larger infrared luminosities. The PAH luminosities of L(7.7) ~ 0.4 - 7 x 10^11 solar luminosities imply star formation rates of ~ 40 - 720 solar masses per year. Four of the galaxies show deep 9.7um silicate absorption features and no significant PAH emission features (6.2um equivalent widths < 0.03um). The large infrared luminosities and low f70/f24 flux density ratios suggests that these sources have AGN as the dominant origin of their large mid-infrared luminosities, although deeply embedded but luminous starbursts cannot be ruled out. If the absorbed sources are AGN-dominated, a significant fraction of all far-infrared bright, optically faint sources may be dominated by AGN.
astro-ph
we present midinfrared spectroscopy obtained with the spitzer space telescope of a sample of 11 optically faint infrared luminous galaxies selected from a spitzer mips 70um imaging survey of the ndwfs bootes field these are the first spitzer irs spectra presented of distant 70umselected sources all the galaxies lie at redshifts 03z13 and have very large infrared luminosities of l_ir 0117 x 1012 solar luminosities seven of the galaxies exhibit strong emission features attributed to polycyclic aromatic hydrocarbons pahs the average irs spectrum of these sources is characteristic of classical starburst galaxies but with much larger infrared luminosities the pah luminosities of l77 04 7 x 1011 solar luminosities imply star formation rates of 40 720 solar masses per year four of the galaxies show deep 97um silicate absorption features and no significant pah emission features 62um equivalent widths 003um the large infrared luminosities and low f70f24 flux density ratios suggests that these sources have agn as the dominant origin of their large midinfrared luminosities although deeply embedded but luminous starbursts cannot be ruled out if the absorbed sources are agndominated a significant fraction of all farinfrared bright optically faint sources may be dominated by agn
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709.312
The flat FRW model in LQC: the self-adjointness
The flat FRW model coupled to the massless scalar field according to the improved, background scale independent version of Ashtekar, Pawlowski and Singh is considered. The core of the theory is addressed directly: the APS construction of the quantum Hamiltonian is analyzed under the assumption that cosmological constant $\Lambda\le 0$. We prove the essential self-adjointness of the operator whose square-root defines the quantum Hamiltonian operator and therefore, provide the explicit definition. If $\Lambda<0$, then the spectrum is discrete. In the $\Lambda=0$ case, the essential and absolutely continues spectra of the operator are derived. The latter operator is related in the unitary way to the absolutely continuous part of the Quantum Mechanics operator $a(-\frac{\partial^2}{\partial y^2} - \frac{b}{{\rm cosh}^2\hat{y}})$ ($a,b>0$ being some constants) plus a trace class operator.
gr-qc hep-th
the flat frw model coupled to the massless scalar field according to the improved background scale independent version of ashtekar pawlowski and singh is considered the core of the theory is addressed directly the aps construction of the quantum hamiltonian is analyzed under the assumption that cosmological constant lambdale 0 we prove the essential selfadjointness of the operator whose squareroot defines the quantum hamiltonian operator and therefore provide the explicit definition if lambda0 then the spectrum is discrete in the lambda0 case the essential and absolutely continues spectra of the operator are derived the latter operator is related in the unitary way to the absolutely continuous part of the quantum mechanics operator afracpartial2partial y2 fracbrm cosh2haty ab0 being some constants plus a trace class operator
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709.3121
Low Dimensional Embedding of fMRI datasets
We propose a novel method to embed a functional magnetic resonance imaging (fMRI) dataset in a low-dimensional space. The embedding optimally preserves the local functional coupling between fMRI time series and provides a low-dimensional coordinate system for detecting activated voxels. To compute the embedding, we build a graph of functionally connected voxels. We use the commute time, instead of the geodesic distance, to measure functional distances on the graph. Because the commute time can be computed directly from the eigenvectors of (a symmetric version) the graph probability transition matrix, we use these eigenvectors to embed the dataset in low dimensions. After clustering the datasets in low dimensions, coherent structures emerge that can be easily interpreted. We performed an extensive evaluation of our method comparing it to linear and nonlinear techniques using synthetic datasets and in vivo datasets. We analyzed datasets from the EBC competition obtained with subjects interacting in an urban virtual reality environment. Our exploratory approach is able to detect independently visual areas (V1/V2, V5/MT), auditory areas, and language areas. Our method can be used to analyze fMRI collected during ``natural stimuli''.
stat.ML q-bio.NC stat.AP
we propose a novel method to embed a functional magnetic resonance imaging fmri dataset in a lowdimensional space the embedding optimally preserves the local functional coupling between fmri time series and provides a lowdimensional coordinate system for detecting activated voxels to compute the embedding we build a graph of functionally connected voxels we use the commute time instead of the geodesic distance to measure functional distances on the graph because the commute time can be computed directly from the eigenvectors of a symmetric version the graph probability transition matrix we use these eigenvectors to embed the dataset in low dimensions after clustering the datasets in low dimensions coherent structures emerge that can be easily interpreted we performed an extensive evaluation of our method comparing it to linear and nonlinear techniques using synthetic datasets and in vivo datasets we analyzed datasets from the ebc competition obtained with subjects interacting in an urban virtual reality environment our exploratory approach is able to detect independently visual areas v1v2 v5mt auditory areas and language areas our method can be used to analyze fmri collected during natural stimuli
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709.3122
Normes invariantes et existence de filtrations admissibles
Let L be a finite extension of Q_p and d a positive integer. A conjecture, due to C. Breuil and P. Schneider, says that the existence of invariant norms on certain locally algebraic representations of GL_{d+1}(L) should be equivalent to the existence of certain (d+1)-dimensional de Rham representations of Gal(\bar{L}/L). We prove the easy direction of this conjecture: the existence of invariant norms implies the existence of admissible filtrations, by generalizing an idea of M.Emerton.
math.NT math.RT
let l be a finite extension of q_p and d a positive integer a conjecture due to c breuil and p schneider says that the existence of invariant norms on certain locally algebraic representations of gl_d1l should be equivalent to the existence of certain d1dimensional de rham representations of galbarll we prove the easy direction of this conjecture the existence of invariant norms implies the existence of admissible filtrations by generalizing an idea of memerton
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709.3123
A general existence proof for non-linear elliptic equations in semi-Riemannian spaces
We present a general existence proof for a wide class of non-linear elliptic equations which can be applied to problems with barrier conditions without specifying any assumptions guaranteeing the uniqueness or local uniqueness of particular solutions. As an application we prove the existence of closed hypersurfaces with curvature prescribed in the tangent bundle of an ambient Riemannian manifold $N$ without supposing any sign condition on the sectional curvatures $K_N$. A curvature flow wouldn't work in this situation, neither the method of successive approximation.
math.DG math.AP
we present a general existence proof for a wide class of nonlinear elliptic equations which can be applied to problems with barrier conditions without specifying any assumptions guaranteeing the uniqueness or local uniqueness of particular solutions as an application we prove the existence of closed hypersurfaces with curvature prescribed in the tangent bundle of an ambient riemannian manifold n without supposing any sign condition on the sectional curvatures k_n a curvature flow wouldnt work in this situation neither the method of successive approximation
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709.3124
Combinatorial Entropy for Distinguishable Entities in Indistinguishable States
The combinatorial basis of entropy by Boltzmann can be written $H= {N}^{-1} \ln \mathbb{W}$, where $H$ is the dimensionless entropy of a system, per unit entity, $N$ is the number of entities and $\mathbb{W}$ is the number of ways in which a given realization of the system can occur, known as its statistical weight. Maximizing the entropy (``MaxEnt'') of a system, subject to its constraints, is then equivalent to choosing its most probable (``MaxProb'') realization. For a system of distinguishable entities and states, $\mathbb{W}$ is given by the multinomial weight, and $H$ asymptotically approaches the Shannon entropy. In general, however, $\mathbb{W}$ need not be multinomial, leading to different entropy measures. This work examines the allocation of distinguishable entities to non-degenerate or equally degenerate, indistinguishable states. The non-degenerate form converges to the Shannon entropy in some circumstances, whilst the degenerate case gives a new entropy measure, a function of a multinomial coefficient, coding parameters, and Stirling numbers of the second kind.
math-ph math.MP
the combinatorial basis of entropy by boltzmann can be written h n1 ln mathbbw where h is the dimensionless entropy of a system per unit entity n is the number of entities and mathbbw is the number of ways in which a given realization of the system can occur known as its statistical weight maximizing the entropy maxent of a system subject to its constraints is then equivalent to choosing its most probable maxprob realization for a system of distinguishable entities and states mathbbw is given by the multinomial weight and h asymptotically approaches the shannon entropy in general however mathbbw need not be multinomial leading to different entropy measures this work examines the allocation of distinguishable entities to nondegenerate or equally degenerate indistinguishable states the nondegenerate form converges to the shannon entropy in some circumstances whilst the degenerate case gives a new entropy measure a function of a multinomial coefficient coding parameters and stirling numbers of the second kind
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709.3125
Energy Dependent Morphology in the PWN candidate HESS J1825-137
Observations with H.E.S.S. revealed a new source of very high-energy (VHE) gamma-rays above 100 GeV - HESS J1825-137 - extending mainly to the south of the energetic pulsar PSR B1823-13. A detailed spectral and morphological analysis of HESS J1825-137 reveals for the first time in VHE gamma-ray astronomy a steepening of the energy spectrum with increasing distance from the pulsar. This behaviour can be understood by invoking radiative cooling of the IC-Compton gamma-ray emitting electrons during their propagation. In this scenario the vastly different sizes between the VHE gamma-ray emitting region and the X-ray PWN associated with PSR B1823-13 can be naturally explained by different cooling timescales for the radiating electron populations. If this scenario is correct, HESS J1825-137 can serve as a prototype for a whole class of asymmetric PWN in which the X-rays are extended over a much smaller angular scales than the gamma-rays and can help understanding recent detections of X-ray PWN in systems such as HESS J1640-465 and HESS J1813-178. The future GLAST satellite will probe lower electron energies shedding further light on cooling and diffusion processes in this source.
astro-ph
observations with hess revealed a new source of very highenergy vhe gammarays above 100 gev hess j1825137 extending mainly to the south of the energetic pulsar psr b182313 a detailed spectral and morphological analysis of hess j1825137 reveals for the first time in vhe gammaray astronomy a steepening of the energy spectrum with increasing distance from the pulsar this behaviour can be understood by invoking radiative cooling of the iccompton gammaray emitting electrons during their propagation in this scenario the vastly different sizes between the vhe gammaray emitting region and the xray pwn associated with psr b182313 can be naturally explained by different cooling timescales for the radiating electron populations if this scenario is correct hess j1825137 can serve as a prototype for a whole class of asymmetric pwn in which the xrays are extended over a much smaller angular scales than the gammarays and can help understanding recent detections of xray pwn in systems such as hess j1640465 and hess j1813178 the future glast satellite will probe lower electron energies shedding further light on cooling and diffusion processes in this source
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709.3126
Induced forests in regular graphs with large girth
An induced forest of a graph G is an acyclic induced subgraph of G. The present paper is devoted to the analysis of a simple randomised algorithm that grows an induced forest in a regular graph. The expected size of the forest it outputs provides a lower bound on the maximum number of vertices in an induced forest of G. When the girth is large and the degree is at least 4, our bound coincides with the best bound known to hold asymptotically almost surely for random regular graphs. This results in an alternative proof for the random case.
math.CO
an induced forest of a graph g is an acyclic induced subgraph of g the present paper is devoted to the analysis of a simple randomised algorithm that grows an induced forest in a regular graph the expected size of the forest it outputs provides a lower bound on the maximum number of vertices in an induced forest of g when the girth is large and the degree is at least 4 our bound coincides with the best bound known to hold asymptotically almost surely for random regular graphs this results in an alternative proof for the random case
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709.3127
Future GLAST observations of Supernova remnants and Pulsar Wind Nebulae
Shell-type Supernova remnants (SNRs) have long been known to harbour a population of ultra-relativistic particles, accelerated in the Supernova shock wave by the mechanism of diffusive shock acceleration. Experimental evidence for the existence of electrons up to energies of ~100 TeV was first provided by the detection of hard X-ray synchrotron emission as e.g. in the shell of the young SNR SN1006. Furthermore using theoretical arguments shell-type Supernova remnants have long been considered as the main accelerator of protons - Cosmic rays - in the Galaxy; definite proof of this process is however still missing. Pulsar Wind Nebulae (PWN) - diffuse structures surrounding young pulsars - are another class of objects known to be a site of particle acceleration in the Galaxy, again through the detection of hard synchrotron X-rays such as in the Crab Nebula. Gamma-rays above 100 MeV provide a direct access to acceleration processes. The GLAST Large Area telescope (LAT) will be operating in the energy range between 30 MeV and 300 GeV and will provide excellent sensitivity, angular and energy resolution in a previously rather poorly explored energy band. We will describe prospects for the investigation of these Galactic particle accelerators with GLAST.
astro-ph
shelltype supernova remnants snrs have long been known to harbour a population of ultrarelativistic particles accelerated in the supernova shock wave by the mechanism of diffusive shock acceleration experimental evidence for the existence of electrons up to energies of 100 tev was first provided by the detection of hard xray synchrotron emission as eg in the shell of the young snr sn1006 furthermore using theoretical arguments shelltype supernova remnants have long been considered as the main accelerator of protons cosmic rays in the galaxy definite proof of this process is however still missing pulsar wind nebulae pwn diffuse structures surrounding young pulsars are another class of objects known to be a site of particle acceleration in the galaxy again through the detection of hard synchrotron xrays such as in the crab nebula gammarays above 100 mev provide a direct access to acceleration processes the glast large area telescope lat will be operating in the energy range between 30 mev and 300 gev and will provide excellent sensitivity angular and energy resolution in a previously rather poorly explored energy band we will describe prospects for the investigation of these galactic particle accelerators with glast
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709.3128
A Note on an Asymptotically Good Tame Tower
The explicit construction of function fields tower with many rational points relative to the genus in the tower play a key role for the construction of asymptotically good algebraic-geometric codes. In 1997 Garcia, Stichtenoth and Thomas [6] exhibited two recursive asymptotically good Kummer towers over any non-prime field. Wulftange determined the limit of one tower in his PhD thesis [13]. In this paper we determine the limit of another tower [14].
math.NT
the explicit construction of function fields tower with many rational points relative to the genus in the tower play a key role for the construction of asymptotically good algebraicgeometric codes in 1997 garcia stichtenoth and thomas 6 exhibited two recursive asymptotically good kummer towers over any nonprime field wulftange determined the limit of one tower in his phd thesis 13 in this paper we determine the limit of another tower 14
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709.3129
Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber
We study theoretically the generation of photon pairs by spontaneous four-wave mixing (SFWM) in photonic crystal optical fiber. We show that it is possible to engineer two-photon states with specific spectral correlation (``entanglement'') properties suitable for quantum information processing applications. We focus on the case exhibiting no spectral correlations in the two-photon component of the state, which we call factorability, and which allows heralding of single-photon pure-state wave packets without the need for spectral post filtering. We show that spontaneous four wave mixing exhibits a remarkable flexibility, permitting a wider class of two-photon states, including ultra-broadband, highly-anticorrelated states.
quant-ph
we study theoretically the generation of photon pairs by spontaneous fourwave mixing sfwm in photonic crystal optical fiber we show that it is possible to engineer twophoton states with specific spectral correlation entanglement properties suitable for quantum information processing applications we focus on the case exhibiting no spectral correlations in the twophoton component of the state which we call factorability and which allows heralding of singlephoton purestate wave packets without the need for spectral post filtering we show that spontaneous four wave mixing exhibits a remarkable flexibility permitting a wider class of twophoton states including ultrabroadband highlyanticorrelated states
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709.313
Twisting Elements in Homotopy G-algebras
We study the notion of twisting elements $da=a\cup_1a$ with respect to $\cup_1$ product when it is a part of homotopy Gerstenhaber algebra structure. This allows to bring to one context the two classical concepts, the theory of deformation of algebras of M. Gerstenhaber, and $A(\infty)$-algebras of J. Stasheff.
math.AT
we study the notion of twisting elements daacup_1a with respect to cup_1 product when it is a part of homotopy gerstenhaber algebra structure this allows to bring to one context the two classical concepts the theory of deformation of algebras of m gerstenhaber and ainftyalgebras of j stasheff
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709.3131
Does a Computer have an Arrow of Time?
In [Sch05a], it is argued that Boltzmann's intuition, that the psychological arrow of time is necessarily aligned with the thermodynamic arrow, is correct. Schulman gives an explicit physical mechanism for this connection, based on the brain being representable as a computer, together with certain thermodynamic properties of computational processes. [Haw94] presents similar, if briefer, arguments. The purpose of this paper is to critically examine the support for the link between thermodynamics and an arrow of time for computers. The principal arguments put forward by Schulman and Hawking will be shown to fail. It will be shown that any computational process that can take place in an entropy increasing universe, can equally take place in an entropy decreasing universe. This conclusion does not automatically imply a psychological arrow can run counter to the thermodynamic arrow. Some alternative possible explana- tions for the alignment of the two arrows will be briefly discussed.
cond-mat.stat-mech quant-ph
in sch05a it is argued that boltzmanns intuition that the psychological arrow of time is necessarily aligned with the thermodynamic arrow is correct schulman gives an explicit physical mechanism for this connection based on the brain being representable as a computer together with certain thermodynamic properties of computational processes haw94 presents similar if briefer arguments the purpose of this paper is to critically examine the support for the link between thermodynamics and an arrow of time for computers the principal arguments put forward by schulman and hawking will be shown to fail it will be shown that any computational process that can take place in an entropy increasing universe can equally take place in an entropy decreasing universe this conclusion does not automatically imply a psychological arrow can run counter to the thermodynamic arrow some alternative possible explana tions for the alignment of the two arrows will be briefly discussed
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709.3132
The Giant Monopole Resonance in the $^{112-124}$Sn Isotopes and the Symmetry Energy Term in Nuclear Incompressibility
We have investigated the isoscalar giant monopole resonance (GMR) in the Sn isotopes, using inelastic scattering of 400-MeV $\alpha$-particles at extremely forward angles, including 0 deg. A value of -550 \pm 100 MeV has been obtained for the asymmetry term, $K_\tau$, in the nuclear incompressibility.
nucl-ex
we have investigated the isoscalar giant monopole resonance gmr in the sn isotopes using inelastic scattering of 400mev alphaparticles at extremely forward angles including 0 deg a value of 550 pm 100 mev has been obtained for the asymmetry term k_tau in the nuclear incompressibility
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709.3133
The Renormalized Tensor Interaction in a Nucleus
We show several examples were the tensor interaction of the lowest order G matrix in a nucleus is too strong. The examples include the quadrupole moment of $^{6}$Li, the isosplitting of the lowest 0$^{-}$ states in $^{16}$O, the near vanishing Gamow-Teller matrix element in the weak decay of the J=0 T=1 state of $^{14}$O to the J=1 T=0 ground state of $^{14}$N, and the magnitude of the deformation of $^{12}$C. It would appear that we could get better results by decreasing the tensor interaction strength by about a factor of two. We then examine the simple estimates of Gerry Brown concerning second order tensor effects. We note that for the triplet even channel the combination of first and second order tensor does indeed yield an effective weaker tensor interaction and helps to get better agreement with experiment.
nucl-th
we show several examples were the tensor interaction of the lowest order g matrix in a nucleus is too strong the examples include the quadrupole moment of 6li the isosplitting of the lowest 0 states in 16o the near vanishing gamowteller matrix element in the weak decay of the j0 t1 state of 14o to the j1 t0 ground state of 14n and the magnitude of the deformation of 12c it would appear that we could get better results by decreasing the tensor interaction strength by about a factor of two we then examine the simple estimates of gerry brown concerning second order tensor effects we note that for the triplet even channel the combination of first and second order tensor does indeed yield an effective weaker tensor interaction and helps to get better agreement with experiment
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709.3134
Edge Effects in Finite Elongated Graphene Nanoribbons
We analyze the relevance of finite-size effects to the electronic structure of long graphene nanoribbons using a divide and conquer density functional approach. We find that for hydrogen terminated graphene nanoribbons most of the physical features appearing in the density of states of an infinite graphene nanoribbon are recovered at a length of 40 nm. Nevertheless, even for the longest systems considered (72 nm long) pronounced edge effects appear in the vicinity of the Fermi energy. The weight of these edge states scales inversely with the length of the ribbon and they are expected to become negligible only at ribbons lengths of the order of micrometers. Our results indicate that careful consideration of finite-size and edge effects should be applied when designing new nanoelectronic devices based on graphene nanoribbons. These conclusions are expected to hold for other one-dimensional systems such as carbon nanotubes, conducting polymers, and DNA molecules.
cond-mat.mtrl-sci cond-mat.other
we analyze the relevance of finitesize effects to the electronic structure of long graphene nanoribbons using a divide and conquer density functional approach we find that for hydrogen terminated graphene nanoribbons most of the physical features appearing in the density of states of an infinite graphene nanoribbon are recovered at a length of 40 nm nevertheless even for the longest systems considered 72 nm long pronounced edge effects appear in the vicinity of the fermi energy the weight of these edge states scales inversely with the length of the ribbon and they are expected to become negligible only at ribbons lengths of the order of micrometers our results indicate that careful consideration of finitesize and edge effects should be applied when designing new nanoelectronic devices based on graphene nanoribbons these conclusions are expected to hold for other onedimensional systems such as carbon nanotubes conducting polymers and dna molecules
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