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1,802.0156
Fractional De Giorgi classes and applications to nonlocal regularity theory
We present some recent results obtained by the author on the regularity of solutions to nonlocal variational problems. In particular, we review the notion of fractional De Giorgi class, explain its role in nonlocal regularity theory, and propose some open questions in the subject.
math.AP
we present some recent results obtained by the author on the regularity of solutions to nonlocal variational problems in particular we review the notion of fractional de giorgi class explain its role in nonlocal regularity theory and propose some open questions in the subject
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1,802.01561
IMPALA: Scalable Distributed Deep-RL with Importance Weighted Actor-Learner Architectures
In this work we aim to solve a large collection of tasks using a single reinforcement learning agent with a single set of parameters. A key challenge is to handle the increased amount of data and extended training time. We have developed a new distributed agent IMPALA (Importance Weighted Actor-Learner Architecture) that not only uses resources more efficiently in single-machine training but also scales to thousands of machines without sacrificing data efficiency or resource utilisation. We achieve stable learning at high throughput by combining decoupled acting and learning with a novel off-policy correction method called V-trace. We demonstrate the effectiveness of IMPALA for multi-task reinforcement learning on DMLab-30 (a set of 30 tasks from the DeepMind Lab environment (Beattie et al., 2016)) and Atari-57 (all available Atari games in Arcade Learning Environment (Bellemare et al., 2013a)). Our results show that IMPALA is able to achieve better performance than previous agents with less data, and crucially exhibits positive transfer between tasks as a result of its multi-task approach.
cs.LG cs.AI
in this work we aim to solve a large collection of tasks using a single reinforcement learning agent with a single set of parameters a key challenge is to handle the increased amount of data and extended training time we have developed a new distributed agent impala importance weighted actorlearner architecture that not only uses resources more efficiently in singlemachine training but also scales to thousands of machines without sacrificing data efficiency or resource utilisation we achieve stable learning at high throughput by combining decoupled acting and learning with a novel offpolicy correction method called vtrace we demonstrate the effectiveness of impala for multitask reinforcement learning on dmlab30 a set of 30 tasks from the deepmind lab environment beattie et al 2016 and atari57 all available atari games in arcade learning environment bellemare et al 2013a our results show that impala is able to achieve better performance than previous agents with less data and crucially exhibits positive transfer between tasks as a result of its multitask approach
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1,802.01562
Towards a bulk description of higher spin SYK
We consider on the bulk side extensions of the Sachdev--Ye--Kitaev (SYK) model to Yang--Mills and higher spins. To this end we study generalizations of the Jackiw--Teitelboim (JT) model in the BF formulation. Our main goal is to obtain generalizations of the Schwarzian action, which we achieve in two ways: by considering the on-shell action supplemented by suitable boundary terms compatible with all symmetries, and by applying the Lee--Wald--Zoupas formalism to analyze the symplectic structure of dilaton gravity. We conclude with a discussion of the entropy (including log-corrections from higher spins) and a holographic dictionary for the generalized SYK/JT correspondence.
hep-th gr-qc
we consider on the bulk side extensions of the sachdevyekitaev syk model to yangmills and higher spins to this end we study generalizations of the jackiwteitelboim jt model in the bf formulation our main goal is to obtain generalizations of the schwarzian action which we achieve in two ways by considering the onshell action supplemented by suitable boundary terms compatible with all symmetries and by applying the leewaldzoupas formalism to analyze the symplectic structure of dilaton gravity we conclude with a discussion of the entropy including logcorrections from higher spins and a holographic dictionary for the generalized sykjt correspondence
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1,802.01563
Age-Minimal Online Policies for Energy Harvesting Sensors with Random Battery Recharges
We consider an energy harvesting sensor that is sending measurement updates regarding some physical phenomenon to a destination. The sensor relies on energy harvested from nature to measure and send its updates, and is equipped with a battery of finite size to collect its harvested energy. The energy harvesting process is Poisson with unit rate, and arrives in amounts that fully recharge the battery. Our setting is online in the sense that the times of energy arrivals are revealed causally to the sensor after the energy is harvested; only the statistics of the arrival process is known a priori. Updates need to be sent in a timely manner to the destination, namely, such that the long term average age of information is minimized over the course of communication. The age of information is defined as the time elapsed since the freshest update has reached the destination. We first show that the optimal scheduling update policy is a renewal policy, and then show that it has a multi threshold structure: the sensor sends an update only if the age of information grows above a certain threshold that depends on the available energy.
cs.IT cs.NI eess.SP math.IT
we consider an energy harvesting sensor that is sending measurement updates regarding some physical phenomenon to a destination the sensor relies on energy harvested from nature to measure and send its updates and is equipped with a battery of finite size to collect its harvested energy the energy harvesting process is poisson with unit rate and arrives in amounts that fully recharge the battery our setting is online in the sense that the times of energy arrivals are revealed causally to the sensor after the energy is harvested only the statistics of the arrival process is known a priori updates need to be sent in a timely manner to the destination namely such that the long term average age of information is minimized over the course of communication the age of information is defined as the time elapsed since the freshest update has reached the destination we first show that the optimal scheduling update policy is a renewal policy and then show that it has a multi threshold structure the sensor sends an update only if the age of information grows above a certain threshold that depends on the available energy
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1,802.01564
Planelike minimizers of nonlocal Ginzburg-Landau energies and fractional perimeters in periodic media
We consider here a nonlocal phase transition energy in a periodic medium and we construct solutions whose interfaces lie at a bounded distance from any given hyperplane. These solutions are either periodic or quasiperiodic, depending on the rational dependency of the normal direction to the reference hyperplane. Remarkably, the oscillations of the interfaces with respect to the reference hyperplane are bounded by a universal constant times the periodicity scale of the medium. This geometric property allows us to establish, in the limit, the existence of planelike nonlocal minimal surfaces in a periodic structure. The proofs rely on new optimal density and energy estimates. In particular, roughly speaking, the energy of phase transition minimizers is controlled, both from above and below, by the energy of one-dimensional transition layers.
math.AP
we consider here a nonlocal phase transition energy in a periodic medium and we construct solutions whose interfaces lie at a bounded distance from any given hyperplane these solutions are either periodic or quasiperiodic depending on the rational dependency of the normal direction to the reference hyperplane remarkably the oscillations of the interfaces with respect to the reference hyperplane are bounded by a universal constant times the periodicity scale of the medium this geometric property allows us to establish in the limit the existence of planelike nonlocal minimal surfaces in a periodic structure the proofs rely on new optimal density and energy estimates in particular roughly speaking the energy of phase transition minimizers is controlled both from above and below by the energy of onedimensional transition layers
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1,802.01565
3D Snapshot Microscopy of Extended Objects
Volumetric biological imaging often involves compromising high temporal resolution at the expense of high spatial resolution when popular scanning methods are used to capture 3D information. We introduce an integrated experimental and image reconstruction method for capturing dynamic 3D fluorescent extended objects as a series of synchronously measured 3D snapshots taken at the frame rate of the imaging camera. We employ multifocal microscopy (MFM) to simultaneously image at 25 focal planes and process this depth-encoded image to recover the 3D structure of extended objects, such as bacteria, using a sparsity-based reconstruction approach. The combined experimental and computational method produces image quality similar to confocal microscopy in a fraction of the acquisition time. In addition, our computational image reconstruction approach allows a simplified MFM optical design by correcting aberrations using the measured response to point sources. This "compressive" MFM acquisition and reconstruction method, where an image volume with roughly 8 million voxels is recovered from a single 1-megapixel captured image, enables straightforward study of dynamic processes in 3D, and as a simultaneous snapshot advances the state of the art in dynamic 3D microscopy.
physics.ins-det
volumetric biological imaging often involves compromising high temporal resolution at the expense of high spatial resolution when popular scanning methods are used to capture 3d information we introduce an integrated experimental and image reconstruction method for capturing dynamic 3d fluorescent extended objects as a series of synchronously measured 3d snapshots taken at the frame rate of the imaging camera we employ multifocal microscopy mfm to simultaneously image at 25 focal planes and process this depthencoded image to recover the 3d structure of extended objects such as bacteria using a sparsitybased reconstruction approach the combined experimental and computational method produces image quality similar to confocal microscopy in a fraction of the acquisition time in addition our computational image reconstruction approach allows a simplified mfm optical design by correcting aberrations using the measured response to point sources this compressive mfm acquisition and reconstruction method where an image volume with roughly 8 million voxels is recovered from a single 1megapixel captured image enables straightforward study of dynamic processes in 3d and as a simultaneous snapshot advances the state of the art in dynamic 3d microscopy
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1,802.01566
Towards Precision Constraints on Gravity with the Effective Field Theory of Large-Scale Structure
We compare analytical computations with numerical simulations for dark-matter clustering, in general relativity and in the normal branch of DGP gravity (nDGP). Our analytical frameword is the Effective Field Theory of Large-Scale Structure (EFTofLSS), which we use to compute the one-loop dark-matter power spectrum, including the resummation of infrared bulk displacement effects. We compare this to a set of 20 COLA simulations at redshifts $z = 0$, $z=0.5$, and $z =1$, and fit the free parameter of the EFTofLSS, called the speed of sound, in both $\Lambda$CDM and nDGP at each redshift. At one-loop at $z = 0$, the reach of the EFTofLSS is $k_{\rm reach}\approx 0.14 \, h { \rm Mpc^{-1}}$ for both $\Lambda$CDM and nDGP. Along the way, we compare two different infrared resummation schemes and two different treatments of the time dependence of the perturbative expansion, concluding that they agree to approximately $1\%$ over the scales of interest. Finally, we use the ratio of the COLA power spectra to make a precision measurement of the difference between the speeds of sound in $\Lambda$CDM and nDGP, and verify that this is proportional to the modification of the linear coupling constant of the Poisson equation.
astro-ph.CO
we compare analytical computations with numerical simulations for darkmatter clustering in general relativity and in the normal branch of dgp gravity ndgp our analytical frameword is the effective field theory of largescale structure eftoflss which we use to compute the oneloop darkmatter power spectrum including the resummation of infrared bulk displacement effects we compare this to a set of 20 cola simulations at redshifts z 0 z05 and z 1 and fit the free parameter of the eftoflss called the speed of sound in both lambdacdm and ndgp at each redshift at oneloop at z 0 the reach of the eftoflss is k_rm reachapprox 014 h rm mpc1 for both lambdacdm and ndgp along the way we compare two different infrared resummation schemes and two different treatments of the time dependence of the perturbative expansion concluding that they agree to approximately 1 over the scales of interest finally we use the ratio of the cola power spectra to make a precision measurement of the difference between the speeds of sound in lambdacdm and ndgp and verify that this is proportional to the modification of the linear coupling constant of the poisson equation
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1,802.01567
Intermediate-mass black holes in dwarf galaxies out to redshift $\sim$ 2.4 in the Chandra COSMOS Legacy Survey
We present a sample of 40 AGN in dwarf galaxies at redshifts $z \lesssim$ 2.4. The galaxies are drawn from the \textit{Chandra} COSMOS-Legacy survey as having stellar masses $10^{7}\leq M_{*}\leq3 \times 10^{9}$ M$_{\odot}$. Most of the dwarf galaxies are star-forming. After removing the contribution from star formation to the X-ray emission, the AGN luminosities of the 40 dwarf galaxies are in the range $L_\mathrm{0.5-10 keV} \sim10^{39} - 10^{44}$ erg s$^{-1}$. With 12 sources at $z > 0.5$, our sample constitutes the highest-redshift discovery of AGN in dwarf galaxies. The record-holder is cid\_1192, at $z = 2.39$ and with $L_\mathrm{0.5-10 keV} \sim 10^{44}$ erg s$^{-1}$. One of the dwarf galaxies has $M_\mathrm{*} = 6.6 \times 10^{7}$ M$_{\odot}$ and is the least massive galaxy found so far to host an AGN. All the AGN are of type 2 and consistent with hosting intermediate-mass black holes (BHs) with masses $\sim 10^{4} - 10^{5}$ M$_{\odot}$ and typical Eddington ratios $> 1\%$. We also study the evolution, corrected for completeness, of AGN fraction with stellar mass, X-ray luminosity, and redshift in dwarf galaxies out to $z$ = 0.7. We find that the AGN fraction for $10^{9}< M_{*}\leq3 \times 10^{9}$ M$_{\odot}$ and $L_\mathrm{X} \sim 10^{41}-10^{42}$ erg s$^{-1}$ is $\sim$0.4\% for $z \leq$ 0.3 and that it decreases with X-ray luminosity and decreasing stellar mass. Unlike massive galaxies, the AGN fraction seems to decrease with redshift, suggesting that AGN in dwarf galaxies evolve differently than those in high-mass galaxies. Mindful of potential caveats, the results seem to favor a direct collapse formation mechanism for the seed BHs in the early Universe.
astro-ph.GA
we present a sample of 40 agn in dwarf galaxies at redshifts z lesssim 24 the galaxies are drawn from the textitchandra cosmoslegacy survey as having stellar masses 107leq m_leq3 times 109 m_odot most of the dwarf galaxies are starforming after removing the contribution from star formation to the xray emission the agn luminosities of the 40 dwarf galaxies are in the range l_mathrm0510 kev sim1039 1044 erg s1 with 12 sources at z 05 our sample constitutes the highestredshift discovery of agn in dwarf galaxies the recordholder is cid_1192 at z 239 and with l_mathrm0510 kev sim 1044 erg s1 one of the dwarf galaxies has m_mathrm 66 times 107 m_odot and is the least massive galaxy found so far to host an agn all the agn are of type 2 and consistent with hosting intermediatemass black holes bhs with masses sim 104 105 m_odot and typical eddington ratios 1 we also study the evolution corrected for completeness of agn fraction with stellar mass xray luminosity and redshift in dwarf galaxies out to z 07 we find that the agn fraction for 109 m_leq3 times 109 m_odot and l_mathrmx sim 10411042 erg s1 is sim04 for z leq 03 and that it decreases with xray luminosity and decreasing stellar mass unlike massive galaxies the agn fraction seems to decrease with redshift suggesting that agn in dwarf galaxies evolve differently than those in highmass galaxies mindful of potential caveats the results seem to favor a direct collapse formation mechanism for the seed bhs in the early universe
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1,802.01568
Selective Sampling and Mixture Models in Generative Adversarial Networks
In this paper, we propose a multi-generator extension to the adversarial training framework, in which the objective of each generator is to represent a unique component of a target mixture distribution. In the training phase, the generators cooperate to represent, as a mixture, the target distribution while maintaining distinct manifolds. As opposed to traditional generative models, inference from a particular generator after training resembles selective sampling from a unique component in the target distribution. We demonstrate the feasibility of the proposed architecture both analytically and with basic Multi-Layer Perceptron (MLP) models trained on the MNIST dataset.
cs.LG
in this paper we propose a multigenerator extension to the adversarial training framework in which the objective of each generator is to represent a unique component of a target mixture distribution in the training phase the generators cooperate to represent as a mixture the target distribution while maintaining distinct manifolds as opposed to traditional generative models inference from a particular generator after training resembles selective sampling from a unique component in the target distribution we demonstrate the feasibility of the proposed architecture both analytically and with basic multilayer perceptron mlp models trained on the mnist dataset
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1,802.01569
Alleviating catastrophic forgetting using context-dependent gating and synaptic stabilization
Humans and most animals can learn new tasks without forgetting old ones. However, training artificial neural networks (ANNs) on new tasks typically cause it to forget previously learned tasks. This phenomenon is the result of "catastrophic forgetting", in which training an ANN disrupts connection weights that were important for solving previous tasks, degrading task performance. Several recent studies have proposed methods to stabilize connection weights of ANNs that are deemed most important for solving a task, which helps alleviate catastrophic forgetting. Here, drawing inspiration from algorithms that are believed to be implemented in vivo, we propose a complementary method: adding a context-dependent gating signal, such that only sparse, mostly non-overlapping patterns of units are active for any one task. This method is easy to implement, requires little computational overhead, and allows ANNs to maintain high performance across large numbers of sequentially presented tasks when combined with weight stabilization. This work provides another example of how neuroscience-inspired algorithms can benefit ANN design and capability.
cs.LG cs.AI q-bio.NC
humans and most animals can learn new tasks without forgetting old ones however training artificial neural networks anns on new tasks typically cause it to forget previously learned tasks this phenomenon is the result of catastrophic forgetting in which training an ann disrupts connection weights that were important for solving previous tasks degrading task performance several recent studies have proposed methods to stabilize connection weights of anns that are deemed most important for solving a task which helps alleviate catastrophic forgetting here drawing inspiration from algorithms that are believed to be implemented in vivo we propose a complementary method adding a contextdependent gating signal such that only sparse mostly nonoverlapping patterns of units are active for any one task this method is easy to implement requires little computational overhead and allows anns to maintain high performance across large numbers of sequentially presented tasks when combined with weight stabilization this work provides another example of how neuroscienceinspired algorithms can benefit ann design and capability
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1,802.0157
Mobile Power Network for Ultimate Mobility without Battery Life Anxiety
Similar to the evolution from the wired Internet to mobile Internet (MI), the growing demand for power delivery anywhere and anytime appeals for power grid transformation from wired to mobile domain. We propose here the next generation of power delivery network -- mobile power network (MPN) for wireless power transfer within a mobile range from several meters to tens of meters. At first, we present the MPN's concept evolution and application scenarios. Then, we introduce the MPN's supporting technology, namely resonant beam charging (RBC). As a long-range wireless power transfer (WPT) method, RBC can safely deliver multi-Watt power to multiple devices concurrently. Meanwhile, the recent progress in RBC research has been summarized. Next, we specify the MPN's architecture to provide the wide-area WPT coverage. Finally, we discuss the MPN's features and challenges. MPN can enable the ultimate mobility by cutting the final cord of mobile devices, realizing the "last-mile" mobile power delivery.
eess.SP cs.NI
similar to the evolution from the wired internet to mobile internet mi the growing demand for power delivery anywhere and anytime appeals for power grid transformation from wired to mobile domain we propose here the next generation of power delivery network mobile power network mpn for wireless power transfer within a mobile range from several meters to tens of meters at first we present the mpns concept evolution and application scenarios then we introduce the mpns supporting technology namely resonant beam charging rbc as a longrange wireless power transfer wpt method rbc can safely deliver multiwatt power to multiple devices concurrently meanwhile the recent progress in rbc research has been summarized next we specify the mpns architecture to provide the widearea wpt coverage finally we discuss the mpns features and challenges mpn can enable the ultimate mobility by cutting the final cord of mobile devices realizing the lastmile mobile power delivery
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1,802.01571
Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets
We solve the non-stationary Schrodinger equation for several time-dependent Hamiltonians, such as the BCS Hamiltonian with an interaction strength inversely proportional to time, periodically driven BCS and linearly driven inhomogeneous Dicke models as well as various multi-level Landau-Zener tunneling models. The latter are Demkov-Osherov, bow-tie, and generalized bow-tie models. We show that these Landau-Zener problems and their certain interacting many-body generalizations map to Gaudin magnets in a magnetic field. Moreover, we demonstrate that the time-dependent Schrodinger equation for the above models has a similar structure and is integrable with a similar technique as Knizhnikov-Zamolodchikov equations. We also discuss applications of our results to the problem of molecular production in an atomic Fermi gas swept through a Feshbach resonance and to the evaluation of the Landau-Zener transition probabilities.
cond-mat.stat-mech cond-mat.quant-gas cond-mat.supr-con hep-th math-ph math.MP quant-ph
we solve the nonstationary schrodinger equation for several timedependent hamiltonians such as the bcs hamiltonian with an interaction strength inversely proportional to time periodically driven bcs and linearly driven inhomogeneous dicke models as well as various multilevel landauzener tunneling models the latter are demkovosherov bowtie and generalized bowtie models we show that these landauzener problems and their certain interacting manybody generalizations map to gaudin magnets in a magnetic field moreover we demonstrate that the timedependent schrodinger equation for the above models has a similar structure and is integrable with a similar technique as knizhnikovzamolodchikov equations we also discuss applications of our results to the problem of molecular production in an atomic fermi gas swept through a feshbach resonance and to the evaluation of the landauzener transition probabilities
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1,802.01572
MotifNet: a motif-based Graph Convolutional Network for directed graphs
Deep learning on graphs and in particular, graph convolutional neural networks, have recently attracted significant attention in the machine learning community. Many of such techniques explore the analogy between the graph Laplacian eigenvectors and the classical Fourier basis, allowing to formulate the convolution as a multiplication in the spectral domain. One of the key drawback of spectral CNNs is their explicit assumption of an undirected graph, leading to a symmetric Laplacian matrix with orthogonal eigendecomposition. In this work we propose MotifNet, a graph CNN capable of dealing with directed graphs by exploiting local graph motifs. We present experimental evidence showing the advantage of our approach on real data.
cs.LG
deep learning on graphs and in particular graph convolutional neural networks have recently attracted significant attention in the machine learning community many of such techniques explore the analogy between the graph laplacian eigenvectors and the classical fourier basis allowing to formulate the convolution as a multiplication in the spectral domain one of the key drawback of spectral cnns is their explicit assumption of an undirected graph leading to a symmetric laplacian matrix with orthogonal eigendecomposition in this work we propose motifnet a graph cnn capable of dealing with directed graphs by exploiting local graph motifs we present experimental evidence showing the advantage of our approach on real data
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1,802.01573
Helmholtz Green's function for scalar wave propagation through a nano-hole on a plasmonic layer
An integral equation formulation is presented for describing the scalar wave propagation through a nano-hole on a plasmonic layer in terms of scalar Green's function for the associated Helmholtz problem. Taking the radius of the nano-hole to be the smallest length parameter of the system, we obtain an exact closed-form analytic solution of the integral equation for the scalar Green's function for scalar wave propagation through the nano-hole and the dispersion relations for such a plasmonic layer.
cond-mat.mes-hall physics.optics
an integral equation formulation is presented for describing the scalar wave propagation through a nanohole on a plasmonic layer in terms of scalar greens function for the associated helmholtz problem taking the radius of the nanohole to be the smallest length parameter of the system we obtain an exact closedform analytic solution of the integral equation for the scalar greens function for scalar wave propagation through the nanohole and the dispersion relations for such a plasmonic layer
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1,802.01574
MBE grown Self-Powered \b{eta}-Ga2O3 MSM Deep-UV Photodetector
We demonstrate self-powered \b{eta}-Ga2O3 deep-UV metal-semiconductor-metal (MSM) photodetectors (PD) with 0.5% external quantum efficiency (EQE) at zero bias. 150 nm thick (-201)-oriented epitaxial \b{eta}-Ga2O3-films were grown on c-plane sapphire using plasma-assisted MBE. Ni/Au and Ti/Au metal stacks were deposited as contacts to achieve asymmetric Schottky barrier heights in interdigitated finger architecture for realizing self-powered photodetectors. Current-voltage characteristics (photo and dark), time-dependent photocurrent and spectral response were studied and compared with conventional symmetric MSM PD with Ni/Au as the Schottky metal contact, fabricated on the same sample. The asymmetric, self-powered devices exhibited solar-blind nature and low dark current < 10 nA at 15 V with high photo-to-dark current ratio of ~ 103. The dark and photocurrents were asymmetric with respect to the applied bias and the responsivity in the forward bias was characterized by gain. The detectors (asymmetric-MSM) were found to exhibit a responsivity of 1.4 mA/W at 255 nm under zero-bias condition (corresponding to an EQE ~ 0.5 %), with a UV-to-Visible rejection ratio ~ 102 and ~105 at 0 V and 5 V respectively.
physics.app-ph
we demonstrate selfpowered betaga2o3 deepuv metalsemiconductormetal msm photodetectors pd with 05 external quantum efficiency eqe at zero bias 150 nm thick 201oriented epitaxial betaga2o3films were grown on cplane sapphire using plasmaassisted mbe niau and tiau metal stacks were deposited as contacts to achieve asymmetric schottky barrier heights in interdigitated finger architecture for realizing selfpowered photodetectors currentvoltage characteristics photo and dark timedependent photocurrent and spectral response were studied and compared with conventional symmetric msm pd with niau as the schottky metal contact fabricated on the same sample the asymmetric selfpowered devices exhibited solarblind nature and low dark current 10 na at 15 v with high phototodark current ratio of 103 the dark and photocurrents were asymmetric with respect to the applied bias and the responsivity in the forward bias was characterized by gain the detectors asymmetricmsm were found to exhibit a responsivity of 14 maw at 255 nm under zerobias condition corresponding to an eqe 05 with a uvtovisible rejection ratio 102 and 105 at 0 v and 5 v respectively
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1,802.01575
A Global Photoionization Response to Prompt Emission and Outliers: Different Origin of Long Gamma-ray Bursts?
By using the line ratio \ion{C}{4}$\lambda1549$/\ion{C}{2}$\lambda1335$ as a tracer of ionization ratio of the interstellar medium (ISM) illuminated by a long gamma-ray burst (LGRB), we identify a global photoionization response of the ionization ratio to the photon luminosity of the prompt emission assessed by either $L_{\mathrm{iso}}/E_{\mathrm{peak}}$ or $L_{\mathrm{iso}}/E^2_{\mathrm{peak}}$. The ionization ratio increases with both $L_{\mathrm{iso}}/E_{\mathrm{peak}}$ and $L_{\mathrm{iso}}/E^2_{\mathrm{peak}}$ for a majority of the LGRBs in our sample, although there are a few outliers. The identified dependence of \ion{C}{4}/\ion{C}{2} on $L_{\mathrm{iso}}/E^2_{\mathrm{peak}}$ suggests that the scatter of the widely accepted Amati relation is related with the ionization ratio in ISM. The outliers tend to have relatively high \ion{C}{4}/\ion{C}{2} values as well as relatively high \ion{C}{4}$\lambda1549$/\ion{Si}{4}$\lambda1403$ ratios, which suggests an existence of Wolf-Rayet stars in the environment of these LGRBs. We finally argue that the outliers and the LGRBs following the identified \ion{C}{4}/\ion{C}{2}$-L_{\mathrm{iso}}/E_{\mathrm{peak}}$ ($L_{\mathrm{iso}}/E^2_{\mathrm{peak}}$) correlation might come from different progenitors with different local environments.
astro-ph.HE
by using the line ratio ionc4lambda1549ionc2lambda1335 as a tracer of ionization ratio of the interstellar medium ism illuminated by a long gammaray burst lgrb we identify a global photoionization response of the ionization ratio to the photon luminosity of the prompt emission assessed by either l_mathrmisoe_mathrmpeak or l_mathrmisoe2_mathrmpeak the ionization ratio increases with both l_mathrmisoe_mathrmpeak and l_mathrmisoe2_mathrmpeak for a majority of the lgrbs in our sample although there are a few outliers the identified dependence of ionc4ionc2 on l_mathrmisoe2_mathrmpeak suggests that the scatter of the widely accepted amati relation is related with the ionization ratio in ism the outliers tend to have relatively high ionc4ionc2 values as well as relatively high ionc4lambda1549ionsi4lambda1403 ratios which suggests an existence of wolfrayet stars in the environment of these lgrbs we finally argue that the outliers and the lgrbs following the identified ionc4ionc2l_mathrmisoe_mathrmpeak l_mathrmisoe2_mathrmpeak correlation might come from different progenitors with different local environments
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1,802.01576
Duality of random planar maps via percolation
We discuss duality properties of critical Boltzmann planar maps such that the degree of a typical face is in the domain of attraction of a stable distribution with parameter $\alpha\in(1,2]$. We consider the critical Bernoulli bond percolation model on a Boltzmann map in the dilute and generic regimes $\alpha \in (3/2,2]$, and show that the open percolation cluster of the origin is itself a Boltzmann map in the dense regime $\alpha \in (1,3/2)$, with parameter \[\alpha':= \frac{2\alpha+3}{4\alpha-2}.\] This is the counterpart in random planar maps of the duality property $\kappa \leftrightarrow 16/\kappa$ of Schramm-Loewner Evolutions and Conformal Loop Ensembles, recently established by Miller, Sheffield and Werner. As a byproduct, we identify the scaling limit of the boundary of the percolation cluster conditioned to have a large perimeter. The cases of subcritical and supercritical percolation are also discussed. In particular, we establish the sharpness of the phase transition through the tail distribution of the size of the percolation cluster.
math.PR
we discuss duality properties of critical boltzmann planar maps such that the degree of a typical face is in the domain of attraction of a stable distribution with parameter alphain12 we consider the critical bernoulli bond percolation model on a boltzmann map in the dilute and generic regimes alpha in 322 and show that the open percolation cluster of the origin is itself a boltzmann map in the dense regime alpha in 132 with parameter alpha frac2alpha34alpha2 this is the counterpart in random planar maps of the duality property kappa leftrightarrow 16kappa of schrammloewner evolutions and conformal loop ensembles recently established by miller sheffield and werner as a byproduct we identify the scaling limit of the boundary of the percolation cluster conditioned to have a large perimeter the cases of subcritical and supercritical percolation are also discussed in particular we establish the sharpness of the phase transition through the tail distribution of the size of the percolation cluster
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1,802.01577
Bounds for $L_p$-discrepancies of point distributions in compact metric spaces
Upper bounds for the $L_p$-discrepancies of point distributions in compact metric measure spaces for $0<p\le\infty$ have been established in the paper [6] by Brandolini, Chen, Colzani, Gigante and Travaglini. In the present paper we show that such bounds can be established in a much more general situation under very simple conditions on the volume of metric balls as a function of radii.
math.MG math.CO math.PR
upper bounds for the l_pdiscrepancies of point distributions in compact metric measure spaces for 0pleinfty have been established in the paper 6 by brandolini chen colzani gigante and travaglini in the present paper we show that such bounds can be established in a much more general situation under very simple conditions on the volume of metric balls as a function of radii
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1,802.01578
Semi-inclusive production of two back-to-back hadron pairs in $e^+e^-$ annihilation revisited
The cross section for back-to-back hadron pair production in $e^+e^-$ annihilation provides access to the dihadron fragmentation functions (DiFF) needed to extract nucleon parton distribution functions from the semi-inclusive deep inelastic scattering (SIDIS) experiments with two detected final state hadrons. Particular attention is given to the so-called interference DiFF (IFF), which makes it possible to extract the transversity parton distribution of the nucleon in the collinear framework. However, previously unnoticed discrepancies were recently highlighted between the definitions of the IFFs appearing in the collinear kinematics when reconstructed from DiFFs entering the unintegrated fully differential cross sections of SIDIS and $e^+e^-$ annihilation processes. In this work, to clarify this problem we rederive the fully differential cross section for $e^+e^-$ annihilation at the leading-twist approximation. We find a mistake in the definition of the kinematics in the original expression that systematically affects a subset of terms and that leads to two significant consequences. First, the discrepancy between the IFF definitions in the cross sections for SIDIS and $e^+e^-$ annihilation is resolved. Second, the previously derived azimuthal asymmetry for accessing the helicity dependent DiFF $G_1^\perp$ in $e^+e^-$ annihilation vanishes, which explains the nonobservation of this asymmetry in the recent experimental searches by the ${\tt BELLE}$ Collaboration. We discuss the recently proposed alternative option to extract $G_1^\perp$.
hep-ph hep-ex nucl-th
the cross section for backtoback hadron pair production in ee annihilation provides access to the dihadron fragmentation functions diff needed to extract nucleon parton distribution functions from the semiinclusive deep inelastic scattering sidis experiments with two detected final state hadrons particular attention is given to the socalled interference diff iff which makes it possible to extract the transversity parton distribution of the nucleon in the collinear framework however previously unnoticed discrepancies were recently highlighted between the definitions of the iffs appearing in the collinear kinematics when reconstructed from diffs entering the unintegrated fully differential cross sections of sidis and ee annihilation processes in this work to clarify this problem we rederive the fully differential cross section for ee annihilation at the leadingtwist approximation we find a mistake in the definition of the kinematics in the original expression that systematically affects a subset of terms and that leads to two significant consequences first the discrepancy between the iff definitions in the cross sections for sidis and ee annihilation is resolved second the previously derived azimuthal asymmetry for accessing the helicity dependent diff g_1perp in ee annihilation vanishes which explains the nonobservation of this asymmetry in the recent experimental searches by the tt belle collaboration we discuss the recently proposed alternative option to extract g_1perp
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1,802.01579
Gauge Theory and Integrability, II
Starting with a four-dimensional gauge theory approach to rational, elliptic, and trigonometric solutions of the Yang-Baxter equation, we determine the corresponding quantum group deformations to all orders in $\hbar$ by deducing their RTT presentations. The arguments we give are a mix of familiar ones with reasoning that is more transparent from the four-dimensional gauge theory point of view. The arguments apply most directly for $\mathfrak{gl}_N$ and can be extended to all simple Lie algebras other than $\mathfrak{e}_8$ by taking into account the self-duality of some representations, the framing anomaly for Wilson operators, and the existence of quantum vertices at which several Wilson operators can end.
hep-th cond-mat.stat-mech math.QA
starting with a fourdimensional gauge theory approach to rational elliptic and trigonometric solutions of the yangbaxter equation we determine the corresponding quantum group deformations to all orders in hbar by deducing their rtt presentations the arguments we give are a mix of familiar ones with reasoning that is more transparent from the fourdimensional gauge theory point of view the arguments apply most directly for mathfrakgl_n and can be extended to all simple lie algebras other than mathfrake_8 by taking into account the selfduality of some representations the framing anomaly for wilson operators and the existence of quantum vertices at which several wilson operators can end
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1,802.0158
The Effective Theory of Shift-Symmetric Cosmologies
A shift symmetry is a ubiquitous ingredient in inflationary models, both in effective constructions and in UV-finite embeddings such as string theory. It has also been proposed to play a key role in certain Dark Energy and Dark Matter models. Despite the crucial role it plays in cosmology, the observable, model independent consequences of a shift symmetry are yet unknown. Here, assuming an exact shift symmetry, we derive these consequences for single-clock cosmologies within the framework of the Effective Field Theory of Inflation. We find an infinite set of relations among the otherwise arbitrary effective coefficients, which relate non-Gaussianity to their time dependence. For example, to leading order in derivatives, these relations reduce the infinitely many free functions in the theory to just a single one. Our Effective Theory of shift-symmetric cosmologies describes, among other systems, perfect and imperfect superfluids coupled to gravity and driven superfluids in the decoupling limit. Our results are the first step to determine observationally whether a shift symmetry is at play in the laws of nature and whether it is broken by quantum gravity effects.
hep-th astro-ph.CO gr-qc
a shift symmetry is a ubiquitous ingredient in inflationary models both in effective constructions and in uvfinite embeddings such as string theory it has also been proposed to play a key role in certain dark energy and dark matter models despite the crucial role it plays in cosmology the observable model independent consequences of a shift symmetry are yet unknown here assuming an exact shift symmetry we derive these consequences for singleclock cosmologies within the framework of the effective field theory of inflation we find an infinite set of relations among the otherwise arbitrary effective coefficients which relate nongaussianity to their time dependence for example to leading order in derivatives these relations reduce the infinitely many free functions in the theory to just a single one our effective theory of shiftsymmetric cosmologies describes among other systems perfect and imperfect superfluids coupled to gravity and driven superfluids in the decoupling limit our results are the first step to determine observationally whether a shift symmetry is at play in the laws of nature and whether it is broken by quantum gravity effects
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1,802.01581
Discovery of distant RR Lyrae stars in the Milky Way using DECam
We report the discovery of distant RR Lyrae stars, including the most distant known in the Milky Way, using data taken in the $g-$band with the Dark Energy Camera as part of the High cadence Transient Survey (HiTS; 2014 campaign). We detect a total of 173 RR Lyrae stars over a ~120 deg^2 area, including both known RR Lyrae and new detections. The heliocentric distances d_H of the full sample range from 9 to >200 kpc, with 18 of them beyond 90 kpc. We identify three sub-groups of RR Lyrae as members of known systems: the Sextans dwarf spheroidal galaxy, for which we report 46 new discoveries, and the ultra-faint dwarf galaxies Leo IV and Leo V. Following an MCMC methodology, we fit spherical and ellipsoidal profiles of the form rho(R) ~ R^n to the radial density distribution of RR Lyrae in the Galactic halo. The best fit corresponds to the spherical case, for which we obtain a simple power-law index of n=-4.17^{+0.18}_{-0.20}, consistent with recent studies made with samples covering shorter distances. The pulsational properties of the outermost RR Lyrae in the sample (d_H>90 kpc) differ from the ones in the halo population at closer distances. The distribution of the stars in a Period-Amplitude diagram suggest they belong to Oosterhoff-intermediate or Oosterhoff II groups, similar to what is found in the ultra-faint dwarf satellites around the Milky Way. The new distant stars discovered represent an important addition to the few existing tracers of the Milky Way potential in the outer halo.
astro-ph.GA astro-ph.SR
we report the discovery of distant rr lyrae stars including the most distant known in the milky way using data taken in the gband with the dark energy camera as part of the high cadence transient survey hits 2014 campaign we detect a total of 173 rr lyrae stars over a 120 deg2 area including both known rr lyrae and new detections the heliocentric distances d_h of the full sample range from 9 to 200 kpc with 18 of them beyond 90 kpc we identify three subgroups of rr lyrae as members of known systems the sextans dwarf spheroidal galaxy for which we report 46 new discoveries and the ultrafaint dwarf galaxies leo iv and leo v following an mcmc methodology we fit spherical and ellipsoidal profiles of the form rhor rn to the radial density distribution of rr lyrae in the galactic halo the best fit corresponds to the spherical case for which we obtain a simple powerlaw index of n417018_020 consistent with recent studies made with samples covering shorter distances the pulsational properties of the outermost rr lyrae in the sample d_h90 kpc differ from the ones in the halo population at closer distances the distribution of the stars in a periodamplitude diagram suggest they belong to oosterhoffintermediate or oosterhoff ii groups similar to what is found in the ultrafaint dwarf satellites around the milky way the new distant stars discovered represent an important addition to the few existing tracers of the milky way potential in the outer halo
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1,802.01582
Pair Density Waves in Superconducting Vortex Halos
We analyze the interplay between a d-wave uniform superconducting and a pair-density-wave (PDW) order parameter in the neighborhood of a vortex. We develop a phenomenological nonlinear sigma-model, solve the saddle point equation for the order parameter configuration, and compute the resulting local density of states in the vortex halo. The intertwining of the two superconducting orders leads to a charge density modulation with the same periodicity as the PDW, which is twice the period of the charge-density-wave that arises as a second-harmonic of the PDW itself. We discuss key features of the charge density modulation that can be directly compared with recent results from scanning tunneling microscopy and speculate on the role PDW order may play in the global phase diagram of the hole-doped cuprates.
cond-mat.supr-con cond-mat.str-el
we analyze the interplay between a dwave uniform superconducting and a pairdensitywave pdw order parameter in the neighborhood of a vortex we develop a phenomenological nonlinear sigmamodel solve the saddle point equation for the order parameter configuration and compute the resulting local density of states in the vortex halo the intertwining of the two superconducting orders leads to a charge density modulation with the same periodicity as the pdw which is twice the period of the chargedensitywave that arises as a secondharmonic of the pdw itself we discuss key features of the charge density modulation that can be directly compared with recent results from scanning tunneling microscopy and speculate on the role pdw order may play in the global phase diagram of the holedoped cuprates
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1,802.01583
Kinematics of Simulated Galaxies I: Connecting Dynamical and Morphological Properties of Early-Type Galaxies at Different Redshifts
State-of-the-art integral field surveys like $\mathrm{ATLAS^{3D}}$, SLUGGS, CALIFA, SAMI, and MaNGA provide large data sets of kinematical observations of early-type galaxies (ETGs), yielding constraints on the formation of ETGs. Using the cosmological hydrodynamical \textit{Magneticum Pathfinder} simulations, we investigate the paradigm of fast and slow rotating ETGs in a fully cosmological context. We show that the ETGs within the \textit{Magneticum} simulation are in remarkable agreement with the observations, revealing fast and slow rotators quantified by the angular momentum proxy $\lambda_{\mathrm{R}}$ and the flattening $\epsilon$ with the observed prevalence. Taking full advantage of the three-dimensional data, we demonstrate that the dichotomy between fast and slow rotating galaxies gets enhanced, showing an upper and lower population separated by an underpopulated region in the edge-on $\lambda_{\mathrm{R}}$-$\epsilon$ plane. Following the evolution of the $\lambda_{\mathrm{R}}$-$\epsilon$ plane through cosmic time, we find that, while the upper population is already in place at $z=2$, the lower population gets statistically significant below $z=1$ with a gradual increase. At least $50\%$ of the galaxies transition from fast to slow rotators on a short timescale, in most cases associated to a significant merger event. Furthermore, we connect the $M_{*}$-$j_{*}$ plane, quantified by the $b$-value, with the $\lambda_{\mathrm{R}}$-$\epsilon$ plane, revealing a strong correlation between the position of a galaxy in the $\lambda_{\mathrm{R}}$-$\epsilon$ plane and the $b$-value. Going one step further, we classify our sample based on features in their velocity map, finding all five common kinematic groups, also including the recently observed group of prolate rotators, populating distinct regions in the $\lambda_{\mathrm{R}}$-$b$ plane.
astro-ph.GA
stateoftheart integral field surveys like mathrmatlas3d sluggs califa sami and manga provide large data sets of kinematical observations of earlytype galaxies etgs yielding constraints on the formation of etgs using the cosmological hydrodynamical textitmagneticum pathfinder simulations we investigate the paradigm of fast and slow rotating etgs in a fully cosmological context we show that the etgs within the textitmagneticum simulation are in remarkable agreement with the observations revealing fast and slow rotators quantified by the angular momentum proxy lambda_mathrmr and the flattening epsilon with the observed prevalence taking full advantage of the threedimensional data we demonstrate that the dichotomy between fast and slow rotating galaxies gets enhanced showing an upper and lower population separated by an underpopulated region in the edgeon lambda_mathrmrepsilon plane following the evolution of the lambda_mathrmrepsilon plane through cosmic time we find that while the upper population is already in place at z2 the lower population gets statistically significant below z1 with a gradual increase at least 50 of the galaxies transition from fast to slow rotators on a short timescale in most cases associated to a significant merger event furthermore we connect the m_j_ plane quantified by the bvalue with the lambda_mathrmrepsilon plane revealing a strong correlation between the position of a galaxy in the lambda_mathrmrepsilon plane and the bvalue going one step further we classify our sample based on features in their velocity map finding all five common kinematic groups also including the recently observed group of prolate rotators populating distinct regions in the lambda_mathrmrb plane
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1,802.01584
Measuring the value of the Hubble constant "\`a la Refsdal"
Realizing Refsdal's original idea from 1964, we present estimates of the Hubble constant that are complementary to and potentially competitive with those of other cosmological probes. We use the observed positions of 89 multiple images, with extensive spectroscopic information, from 28 background sources and the measured time delays between the images S1-S4 and SX of supernova "Refsdal" ($z = 1.489$), which were obtained thanks to Hubble Space Telescope (HST) deep imaging and Multi Unit Spectroscopic Explorer (MUSE) data. We extend the strong lensing modeling of the Hubble Frontier Fields (HFF) galaxy cluster MACS J1149.5$+$2223 ($z = 0.542$), published by Grillo et al. (2016), and explore different $\Lambda$CDM models. Taking advantage of the lensing information associated to the presence of very close pairs of multiple images at various redshifts and to the extended surface brightness distribution of the SN Refsdal host, we can reconstruct the total mass density profile of the cluster very precisely. The combined dependence of the multiple image positions and time delays on the cosmological parameters allows us to infer the values of $H_{0}$ and $\Omega_{\rm m}$ with relative (1$\sigma$) statistical errors of, respectively, 6% (7%) and 31% (26%) in flat (general) cosmological models, assuming a conservative 3% uncertainty on the final time delay of image SX and, remarkably, no priors from other cosmological experiments. Our best estimate of $H_{0}$, based on the model described in this work, will be presented when the final time-delay measurement becomes available. Our results show that it is possible to utilize time delays in lens galaxy clusters as an important alternative tool for measuring the expansion rate and the geometry of the Universe.
astro-ph.CO
realizing refsdals original idea from 1964 we present estimates of the hubble constant that are complementary to and potentially competitive with those of other cosmological probes we use the observed positions of 89 multiple images with extensive spectroscopic information from 28 background sources and the measured time delays between the images s1s4 and sx of supernova refsdal z 1489 which were obtained thanks to hubble space telescope hst deep imaging and multi unit spectroscopic explorer muse data we extend the strong lensing modeling of the hubble frontier fields hff galaxy cluster macs j114952223 z 0542 published by grillo et al 2016 and explore different lambdacdm models taking advantage of the lensing information associated to the presence of very close pairs of multiple images at various redshifts and to the extended surface brightness distribution of the sn refsdal host we can reconstruct the total mass density profile of the cluster very precisely the combined dependence of the multiple image positions and time delays on the cosmological parameters allows us to infer the values of h_0 and omega_rm m with relative 1sigma statistical errors of respectively 6 7 and 31 26 in flat general cosmological models assuming a conservative 3 uncertainty on the final time delay of image sx and remarkably no priors from other cosmological experiments our best estimate of h_0 based on the model described in this work will be presented when the final timedelay measurement becomes available our results show that it is possible to utilize time delays in lens galaxy clusters as an important alternative tool for measuring the expansion rate and the geometry of the universe
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1,802.01585
Positive gravitational subsystem energies from CFT cone relative entropies
The positivity of relative entropy for spatial subsystems in a holographic CFT implies the positivity of certain quantities in the dual gravitational theory. In this note, we consider CFT subsystems whose boundaries lie on the lightcone of a point $p$. We show that the positive gravitational quantity which corresponds to the relative entropy for such a subsystem $A$ is a novel notion of energy associated with a gravitational subsystem bounded by the minimal area extremal surface $\tilde{A}$ associated with $A$ and by the AdS boundary region $\hat{A}$ corresponding to the part of the lightcone from $p$ bounded by $\partial A$. This generalizes the results of arXiv:1605.01075 for ball-shaped regions by making use of the recent results in arXiv:1703.10656 for the vacuum modular Hamiltonian of regions bounded on lightcones. As part of our analysis, we give an analytic expression for the extremal surface in pure AdS associated with any such region $A$. We note that its form immediately implies the Markov property of the CFT vacuum (saturation of strong subadditivity) for regions bounded on the same lightcone. This gives a holographic proof of the result proven for general CFTs in arXiv:1703.10656. A similar holographic proof shows the Markov property for regions bounded on a lightsheet for non-conformal holographic theories defined by relevant perturbations of a CFT.
hep-th
the positivity of relative entropy for spatial subsystems in a holographic cft implies the positivity of certain quantities in the dual gravitational theory in this note we consider cft subsystems whose boundaries lie on the lightcone of a point p we show that the positive gravitational quantity which corresponds to the relative entropy for such a subsystem a is a novel notion of energy associated with a gravitational subsystem bounded by the minimal area extremal surface tildea associated with a and by the ads boundary region hata corresponding to the part of the lightcone from p bounded by partial a this generalizes the results of arxiv160501075 for ballshaped regions by making use of the recent results in arxiv170310656 for the vacuum modular hamiltonian of regions bounded on lightcones as part of our analysis we give an analytic expression for the extremal surface in pure ads associated with any such region a we note that its form immediately implies the markov property of the cft vacuum saturation of strong subadditivity for regions bounded on the same lightcone this gives a holographic proof of the result proven for general cfts in arxiv170310656 a similar holographic proof shows the markov property for regions bounded on a lightsheet for nonconformal holographic theories defined by relevant perturbations of a cft
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1,802.01586
A Census of the LyC Photons that Form the UV Background During Reionization
We present a new, on-the-fly photon flux and absorption tracer algorithm designed to directly measure the contribution of different source populations to the metagalactic UV background and to the ionisation fraction of gas in the Universe. We use a suite of multifrequency radiation hydrodynamics simulations that are carefully calibrated to reproduce a realistic reionization history and galaxy properties at $z \ge 6$, to disentangle the contribution of photons emitted by different mass haloes and by stars with different metallicities and ages to the UV background during reionization. While at very early cosmic times low mass, metal poor haloes provide most of the LyC photons, their contribution decreases steadily with time. At $z = 6$ it is the photons emitted by massive systems (${\rm M_{halo}}/{\rm M_\odot} > 10^{10} \, {\rm h ^{-1}}$) and by the metal enriched stars ($10^{-3} < Z/Z_{\rm \odot} < 10^{-1.5}$) that provide the largest contribution to the ionising UV background. We demonstrate that there are large variations in the escape fraction depending on the source, with the escape fraction being highest ($\sim 45-60\%$) for photons emitted by the oldest stars that penetrate into the IGM via low opacity channels carved by the ionising photons and supernova from younger stars. Before HII regions begin to overlap, the photoionisation rate strongly fluctuates between different, isolated HII bubbles, depending on the embedded ionising source, which we suggest may result in spatial variations in the properties of dwarf galaxies.
astro-ph.CO astro-ph.GA
we present a new onthefly photon flux and absorption tracer algorithm designed to directly measure the contribution of different source populations to the metagalactic uv background and to the ionisation fraction of gas in the universe we use a suite of multifrequency radiation hydrodynamics simulations that are carefully calibrated to reproduce a realistic reionization history and galaxy properties at z ge 6 to disentangle the contribution of photons emitted by different mass haloes and by stars with different metallicities and ages to the uv background during reionization while at very early cosmic times low mass metal poor haloes provide most of the lyc photons their contribution decreases steadily with time at z 6 it is the photons emitted by massive systems rm m_halorm m_odot 1010 rm h 1 and by the metal enriched stars 103 zz_rm odot 1015 that provide the largest contribution to the ionising uv background we demonstrate that there are large variations in the escape fraction depending on the source with the escape fraction being highest sim 4560 for photons emitted by the oldest stars that penetrate into the igm via low opacity channels carved by the ionising photons and supernova from younger stars before hii regions begin to overlap the photoionisation rate strongly fluctuates between different isolated hii bubbles depending on the embedded ionising source which we suggest may result in spatial variations in the properties of dwarf galaxies
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1,802.01587
Resilience of scrambling measurements
Most experimental protocols for measuring scrambling require time evolution with a Hamiltonian and with the Hamiltonian's negative counterpart (backwards time evolution). Engineering controllable quantum many-body systems for which such forward and backward evolution is possible is a significant experimental challenge. Furthermore, if the system of interest is quantum-chaotic, one might worry that any small errors in the time reversal will be rapidly amplified, obscuring the physics of scrambling. This paper undermines this expectation: We exhibit a renormalization protocol that extracts nearly ideal out-of-time-ordered-correlator measurements from imperfect experimental measurements. We analytically and numerically demonstrate the protocol's effectiveness, up to the scrambling time, in a variety of models and for sizable imperfections. The scheme extends to errors from decoherence by an environment.
quant-ph cond-mat.dis-nn cond-mat.stat-mech hep-th
most experimental protocols for measuring scrambling require time evolution with a hamiltonian and with the hamiltonians negative counterpart backwards time evolution engineering controllable quantum manybody systems for which such forward and backward evolution is possible is a significant experimental challenge furthermore if the system of interest is quantumchaotic one might worry that any small errors in the time reversal will be rapidly amplified obscuring the physics of scrambling this paper undermines this expectation we exhibit a renormalization protocol that extracts nearly ideal outoftimeorderedcorrelator measurements from imperfect experimental measurements we analytically and numerically demonstrate the protocols effectiveness up to the scrambling time in a variety of models and for sizable imperfections the scheme extends to errors from decoherence by an environment
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1,802.01588
The First Detection of Neutral Hydrogen in Emission in a Strong Spiral Lens
We report HI observations of eight spiral galaxies that are strongly lensing background sources. Our targets were selected from the Sloan WFC (Wide Field Camera) Edge-on Late-type Lens Survey (SWELLS) using the Arecibo, Karl G. Jansky Very Large Array, and Green Bank telescopes. We securely detect J1703+2451 at z=0.063 with a signal-to-noise of 6.7 and W50=79+/-13 km/s, obtaining the first detection of HI emission in a strong spiral lens. We measure a mass of M(HI)= 1.77+/-0.06(+0.35/-0.75) x 10^9 M_(sol) for this source. We find that this lens is a normal spiral, with observable properties that are fairly typical of spiral galaxies. For three other sources we did not secure a detection; however, we are able to place strong constraints on the HI masses of those galaxies. The observations for four of our sources were rendered unusable due to strong radio frequency interference.
astro-ph.GA
we report hi observations of eight spiral galaxies that are strongly lensing background sources our targets were selected from the sloan wfc wide field camera edgeon latetype lens survey swells using the arecibo karl g jansky very large array and green bank telescopes we securely detect j17032451 at z0063 with a signaltonoise of 67 and w507913 kms obtaining the first detection of hi emission in a strong spiral lens we measure a mass of mhi 177006035075 x 109 m_sol for this source we find that this lens is a normal spiral with observable properties that are fairly typical of spiral galaxies for three other sources we did not secure a detection however we are able to place strong constraints on the hi masses of those galaxies the observations for four of our sources were rendered unusable due to strong radio frequency interference
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1,802.01589
PISCO: The Pmas/ppak Integral-field Supernova hosts COmpilation
We present the Pmas/ppak Integral-field Supernova hosts COmpilation (PISCO) which comprises Integral Field Spectroscopy (IFS) of 232 supernova (SN) host galaxies, that hosted 272 SNe, observed over several semesters with the 3.5m telescope at the Calar Alto Observatory (CAHA). PISCO is the largest collection of SN host galaxies observed with wide-field IFS, totaling 466,347 individual spectra covering a typical spatial resolution of $\sim$380 pc. While focused studies regarding specific SN Ia- related topics will be published elsewhere, this paper aims to present the properties of the SN environments with stellar population (SP) synthesis and the gas-phase ISM, providing additional results separating stripped-envelope SNe into their subtypes. With 11,270 HII regions detected in all galaxies, we present for the first time an HII region statistical analysis, that puts HII regions that have hosted SNe in context with all other SF clumps within their galaxies. SNe Ic are associated to more metal-rich, higher EW(H{\alpha}) and higher SF rate environments within their host galaxies than the mean of all HII regions detected within each host, on contrary SNe IIb occur at the most different environments compared to other CC SNe types. We find two clear components of young and old SP at SNe IIn locations. We find that SNe II fast-decliners (IIL) tend to explode at locations where {\Sigma}SFR is more intense. Finally, we outline how a future dedicated IFS survey of galaxies in parallel to an untargeted SN search would overcome the biases in current environmental studies.
astro-ph.GA astro-ph.HE astro-ph.SR
we present the pmasppak integralfield supernova hosts compilation pisco which comprises integral field spectroscopy ifs of 232 supernova sn host galaxies that hosted 272 sne observed over several semesters with the 35m telescope at the calar alto observatory caha pisco is the largest collection of sn host galaxies observed with widefield ifs totaling 466347 individual spectra covering a typical spatial resolution of sim380 pc while focused studies regarding specific sn ia related topics will be published elsewhere this paper aims to present the properties of the sn environments with stellar population sp synthesis and the gasphase ism providing additional results separating strippedenvelope sne into their subtypes with 11270 hii regions detected in all galaxies we present for the first time an hii region statistical analysis that puts hii regions that have hosted sne in context with all other sf clumps within their galaxies sne ic are associated to more metalrich higher ewhalpha and higher sf rate environments within their host galaxies than the mean of all hii regions detected within each host on contrary sne iib occur at the most different environments compared to other cc sne types we find two clear components of young and old sp at sne iin locations we find that sne ii fastdecliners iil tend to explode at locations where sigmasfr is more intense finally we outline how a future dedicated ifs survey of galaxies in parallel to an untargeted sn search would overcome the biases in current environmental studies
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1,802.0159
Computational inverse method for constructing spaces of quantum models from wave functions
Traditional computational methods for studying quantum many-body systems are "forward methods," which take quantum models, i.e., Hamiltonians, as input and produce ground states as output. However, such forward methods often limit one's perspective to a small fraction of the space of possible Hamiltonians. We introduce an alternative computational "inverse method," the Eigenstate-to-Hamiltonian Construction (EHC), that allows us to better understand the vast space of quantum models describing strongly correlated systems. EHC takes as input a wave function $|\psi_T\rangle$ and produces as output Hamiltonians for which $|\psi_T\rangle$ is an eigenstate. This is accomplished by computing the quantum covariance matrix, a quantum mechanical generalization of a classical covariance matrix. EHC is widely applicable to a number of models and in this work we consider seven different examples. Using the EHC method, we construct a parent Hamiltonian with a new type of antiferromagnetic ground state, a parent Hamiltonian with two different targeted degenerate ground states, and large classes of parent Hamiltonians with the same ground states as well-known quantum models, such as the Majumdar-Ghosh model, the XX chain, the Heisenberg chain, the Kitaev chain, and a 2D BdG model.
cond-mat.str-el quant-ph
traditional computational methods for studying quantum manybody systems are forward methods which take quantum models ie hamiltonians as input and produce ground states as output however such forward methods often limit ones perspective to a small fraction of the space of possible hamiltonians we introduce an alternative computational inverse method the eigenstatetohamiltonian construction ehc that allows us to better understand the vast space of quantum models describing strongly correlated systems ehc takes as input a wave function psi_trangle and produces as output hamiltonians for which psi_trangle is an eigenstate this is accomplished by computing the quantum covariance matrix a quantum mechanical generalization of a classical covariance matrix ehc is widely applicable to a number of models and in this work we consider seven different examples using the ehc method we construct a parent hamiltonian with a new type of antiferromagnetic ground state a parent hamiltonian with two different targeted degenerate ground states and large classes of parent hamiltonians with the same ground states as wellknown quantum models such as the majumdarghosh model the xx chain the heisenberg chain the kitaev chain and a 2d bdg model
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1,802.01591
Clockwork without supersymmetry
The clockwork mechanism would be completely spoiled by the presence of a cosmological constant in the bulk of its 5D construction, or by analogous terms in the discrete case. It is believed that supersymmetry is required to forbid the appearance of these fatal terms, thus apparently tying the fate of the clockwork to the presence of supersymmetry. In this letter we argue that a robust clockwork can be obtained also without supersymmetry, by providing a model for the clockwork/linear dilaton EFT where this protection is instead related to diffeomorphism invariance in a higher number of extra dimensions. We show that the clockwork mechanism is a quite general setup that emerges, rather minimally, from pure gravity in the presence of $D-5$ additional flat extra dimensions. The linear dilaton model is obtained asymptotically in the limit of infinitely many extra dimensions. We then study the finite-$D$ theory, which is a deformation of the linear dilaton one, but still a clockwork theory for $D$ large enough.
hep-ph hep-th
the clockwork mechanism would be completely spoiled by the presence of a cosmological constant in the bulk of its 5d construction or by analogous terms in the discrete case it is believed that supersymmetry is required to forbid the appearance of these fatal terms thus apparently tying the fate of the clockwork to the presence of supersymmetry in this letter we argue that a robust clockwork can be obtained also without supersymmetry by providing a model for the clockworklinear dilaton eft where this protection is instead related to diffeomorphism invariance in a higher number of extra dimensions we show that the clockwork mechanism is a quite general setup that emerges rather minimally from pure gravity in the presence of d5 additional flat extra dimensions the linear dilaton model is obtained asymptotically in the limit of infinitely many extra dimensions we then study the finited theory which is a deformation of the linear dilaton one but still a clockwork theory for d large enough
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1,802.01592
Deconstructing S-Duality
We use the technique of deconstruction to lift dualities from 2+1 to 3+1 dimensions. In this work we demonstrate the basic idea by deriving S-duality of maximally supersymmetric electromagnetism in 3+1 dimensions from mirror symmetry in 2+1. We also study the deconstruction of a non-supersymmetric duality in 3+1 dimensions using Abelian bosonization in 2+1 dimensions.
hep-th cond-mat.str-el
we use the technique of deconstruction to lift dualities from 21 to 31 dimensions in this work we demonstrate the basic idea by deriving sduality of maximally supersymmetric electromagnetism in 31 dimensions from mirror symmetry in 21 we also study the deconstruction of a nonsupersymmetric duality in 31 dimensions using abelian bosonization in 21 dimensions
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1,802.01593
The enhancement of rapidly quenched galaxies in distant clusters at 0.5<z<1.0
We investigate the relationship between environment and galaxy evolution in the redshift range $0.5 < z < 1.0$. Galaxy overdensities are selected using a Friends-of-Friends algorithm, applied to deep photometric data in the Ultra-Deep Survey (UDS) field. A study of the resulting stellar mass functions reveals clear differences between cluster and field environments, with a strong excess of low-mass rapidly quenched galaxies in cluster environments compared to the field. Cluster environments also show a corresponding deficit of young, low-mass star-forming galaxies, which show a sharp radial decline towards cluster centres. By comparing mass functions and radial distributions, we conclude that young star-forming galaxies are rapidly quenched as they enter overdense environments, becoming post-starburst galaxies before joining the red sequence. Our results also point to the existence of two environmental quenching pathways operating in galaxy clusters, operating on different timescales. Fast quenching acts on galaxies with high specific star-formation rates, operating on timescales shorter than the cluster dynamical time ($ < 1$ Gyr). In contrast, slow quenching affects galaxies with moderate specific star-formation rates, regardless of their stellar mass, and acts on longer timescales ($\gtrsim 1$ Gyr). Of the cluster galaxies in the stellar mass range $9.0 < \log(M_{*}/M_{\odot}) < 10.5$ quenched during this epoch, we find that 73% were transformed through fast quenching, while the remaining 27% followed the slow quenching route.
astro-ph.GA
we investigate the relationship between environment and galaxy evolution in the redshift range 05 z 10 galaxy overdensities are selected using a friendsoffriends algorithm applied to deep photometric data in the ultradeep survey uds field a study of the resulting stellar mass functions reveals clear differences between cluster and field environments with a strong excess of lowmass rapidly quenched galaxies in cluster environments compared to the field cluster environments also show a corresponding deficit of young lowmass starforming galaxies which show a sharp radial decline towards cluster centres by comparing mass functions and radial distributions we conclude that young starforming galaxies are rapidly quenched as they enter overdense environments becoming poststarburst galaxies before joining the red sequence our results also point to the existence of two environmental quenching pathways operating in galaxy clusters operating on different timescales fast quenching acts on galaxies with high specific starformation rates operating on timescales shorter than the cluster dynamical time 1 gyr in contrast slow quenching affects galaxies with moderate specific starformation rates regardless of their stellar mass and acts on longer timescales gtrsim 1 gyr of the cluster galaxies in the stellar mass range 90 logm_m_odot 105 quenched during this epoch we find that 73 were transformed through fast quenching while the remaining 27 followed the slow quenching route
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1,802.01594
Magnetized advective accretion flows: formation of magnetic barriers in Magnetically Arrested Discs
We discuss the importance of large scale strong magnetic field in the removal of angular momentum outward, as well as the possible origin of different kinds of magnetic barrier in advective, geometrically thick, sub-Keplerian accretion flows around black holes. The origin of this large scale strong magnetic field near the event horizon is due to the advection of the magnetic flux by the accreting gas from the environment, say, the interstellar medium or a companion star, because of flux freezing. In this simplest vertically averaged, 1.5-dimensional disc model, we choose the maximum upper limit of the magnetic field, which the disc around a black hole can sustain. In this so called magnetically arrested disc (MAD) model, the accreting gas either decelerates or faces the magnetic barrier near the event horizon by the accumulated magnetic field depending on the geometry. The magnetic barrier may knock the matter to infinity. We suggest that these types of flow are the building block to produce jets and outflows in the accreting system. We also find that in some cases, when matter is trying to go back to infinity after knocking the barrier, matter is prevented being escaped by the cumulative action of strong gravity and the magnetic tension, hence by another barrier. In this way, magnetic field can lock the matter in between these two barriers and it might be a possible explanation for the formation of episodic jet.
astro-ph.HE gr-qc
we discuss the importance of large scale strong magnetic field in the removal of angular momentum outward as well as the possible origin of different kinds of magnetic barrier in advective geometrically thick subkeplerian accretion flows around black holes the origin of this large scale strong magnetic field near the event horizon is due to the advection of the magnetic flux by the accreting gas from the environment say the interstellar medium or a companion star because of flux freezing in this simplest vertically averaged 15dimensional disc model we choose the maximum upper limit of the magnetic field which the disc around a black hole can sustain in this so called magnetically arrested disc mad model the accreting gas either decelerates or faces the magnetic barrier near the event horizon by the accumulated magnetic field depending on the geometry the magnetic barrier may knock the matter to infinity we suggest that these types of flow are the building block to produce jets and outflows in the accreting system we also find that in some cases when matter is trying to go back to infinity after knocking the barrier matter is prevented being escaped by the cumulative action of strong gravity and the magnetic tension hence by another barrier in this way magnetic field can lock the matter in between these two barriers and it might be a possible explanation for the formation of episodic jet
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1,802.01595
Search for the Neutron Decay n$\rightarrow$ X+$\gamma$ where X is a dark matter particle
In a recent paper submitted to Physical Review Letters, Fornal and Grinstein have suggested that the discrepancy between two different methods of neutron lifetime measurements, the beam and bottle methods can be explained by a previously unobserved dark matter decay mode, n$\rightarrow$ X+$\gamma$ where X is a dark matter particle. We have performed a search for this decay mode over the allowed range of energies of the monoenergetic gamma ray for X to be a dark matter particle. We exclude the possibility of a sufficiently strong branch to explain the lifetime discrepancy with greater than 4 sigma confidence.
nucl-ex
in a recent paper submitted to physical review letters fornal and grinstein have suggested that the discrepancy between two different methods of neutron lifetime measurements the beam and bottle methods can be explained by a previously unobserved dark matter decay mode nrightarrow xgamma where x is a dark matter particle we have performed a search for this decay mode over the allowed range of energies of the monoenergetic gamma ray for x to be a dark matter particle we exclude the possibility of a sufficiently strong branch to explain the lifetime discrepancy with greater than 4 sigma confidence
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1,802.01596
The mass-size relation of LRGs from BOSS and DECaLS
We use the DECaLS DR3 survey photometry matched to the SDSS-III/BOSS DR12 spectroscopic catalog to investigate the morphology and stellar mass-size relation of luminous red galaxies (LRGs) within the CMASS and LOWZ galaxy samples in the redshift range $0.2<z<0.7$. The large majority of both samples is composed of early-type galaxies with De Vaucouleurs profiles, while only less than 20% are late-type exponentials. We calibrate DECaLS effective radii using the higher resolution CFHT/MegaCam observations and optimise the correction for each morphological type. By cross-matching the photometric properties of the early-type population with the Portsmouth stellar mass catalog, we are able to explore the high-mass end of the distribution using a large sample of 313,026 galaxies over 4380 deg$^{2}$. We find a clear correlation between the sizes and the stellar masses of these galaxies, which appears flatter than previous estimates at lower masses. The sizes of these early-type galaxies do not exhibit significant evolution within the BOSS redshift range, but a slightly declining redshift trend is found when these results are combined with $z\sim0.1$ SDSS measurements at the high-mass end. The synergy between BOSS and DECaLS has important applications in other fields, including galaxy clustering and weak lensing.
astro-ph.GA
we use the decals dr3 survey photometry matched to the sdssiiiboss dr12 spectroscopic catalog to investigate the morphology and stellar masssize relation of luminous red galaxies lrgs within the cmass and lowz galaxy samples in the redshift range 02z07 the large majority of both samples is composed of earlytype galaxies with de vaucouleurs profiles while only less than 20 are latetype exponentials we calibrate decals effective radii using the higher resolution cfhtmegacam observations and optimise the correction for each morphological type by crossmatching the photometric properties of the earlytype population with the portsmouth stellar mass catalog we are able to explore the highmass end of the distribution using a large sample of 313026 galaxies over 4380 deg2 we find a clear correlation between the sizes and the stellar masses of these galaxies which appears flatter than previous estimates at lower masses the sizes of these earlytype galaxies do not exhibit significant evolution within the boss redshift range but a slightly declining redshift trend is found when these results are combined with zsim01 sdss measurements at the highmass end the synergy between boss and decals has important applications in other fields including galaxy clustering and weak lensing
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1,802.01597
Mapping the core of the Tarantula Nebula with VLT-MUSE: I. Spectral and nebular content around R136
We introduce VLT-MUSE observations of the central 2$'\times2'$ (30$\times$30 pc) of the Tarantula Nebula in the Large Magellanic Cloud. The observations provide an unprecedented spectroscopic census of the massive stars and ionised gas in the vicinity of R136, the young, dense star cluster located in NGC 2070, at the heart of the richest star-forming region in the Local Group. Spectrophotometry and radial-velocity estimates of the nebular gas (superimposed on the stellar spectra) are provided for 2255 point sources extracted from the MUSE datacubes, and we present estimates of stellar radial velocities for 270 early-type stars (finding an average systemic velocity of 271$\pm$41 km/s). We present an extinction map constructed from the nebular Balmer lines, with electron densities and temperatures estimated from intensity ratios of the [SII], [NII], and [SIII] lines. The interstellar medium, as traced by H$\alpha$ and [NII] $\lambda$6583, provides new insights in regions where stars are probably forming. The gas kinematics are complex, but with a clear bi-modal, blue- and red-shifted distribution compared to the systemic velocity of the gas centred on R136. Interesting point-like sources are also seen in the eastern cavity, western shell, and around R136; these might be related to phenomena such as runaway stars, jets, formation of new stars, or the interaction of the gas with the population of Wolf--Rayet stars. Closer inspection of the core reveals red-shifted material surrounding the strongest X-ray sources, although we are unable to investigate the kinematics in detail as the stars are spatially unresolved in the MUSE data. Further papers in this series will discuss the detailed stellar content of NGC 2070 and its integrated stellar and nebular properties.
astro-ph.GA
we introduce vltmuse observations of the central 2times2 30times30 pc of the tarantula nebula in the large magellanic cloud the observations provide an unprecedented spectroscopic census of the massive stars and ionised gas in the vicinity of r136 the young dense star cluster located in ngc 2070 at the heart of the richest starforming region in the local group spectrophotometry and radialvelocity estimates of the nebular gas superimposed on the stellar spectra are provided for 2255 point sources extracted from the muse datacubes and we present estimates of stellar radial velocities for 270 earlytype stars finding an average systemic velocity of 271pm41 kms we present an extinction map constructed from the nebular balmer lines with electron densities and temperatures estimated from intensity ratios of the sii nii and siii lines the interstellar medium as traced by halpha and nii lambda6583 provides new insights in regions where stars are probably forming the gas kinematics are complex but with a clear bimodal blue and redshifted distribution compared to the systemic velocity of the gas centred on r136 interesting pointlike sources are also seen in the eastern cavity western shell and around r136 these might be related to phenomena such as runaway stars jets formation of new stars or the interaction of the gas with the population of wolfrayet stars closer inspection of the core reveals redshifted material surrounding the strongest xray sources although we are unable to investigate the kinematics in detail as the stars are spatially unresolved in the muse data further papers in this series will discuss the detailed stellar content of ngc 2070 and its integrated stellar and nebular properties
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1,802.01598
Scalar one-point functions and matrix product states of AdS/dCFT
We determine in a closed form all scalar one-point functions of the defect CFT dual to the D3-D5 probe brane system with k units of flux which amounts to calculating the overlap between a Bethe eigenstate of the integrable SO(6) spin chain and a certain matrix product state of bond dimension k. In particular, we show that the matrix product state is annihilated by all the parity odd charges of the spin chain which has recently been suggested as the criterion for such a state to correspond to an integrable initial state. Finally, we discuss the properties of the analogous matrix product state for the SO(5) symmetric D3-D7 probe brane set-up.
hep-th cond-mat.stat-mech
we determine in a closed form all scalar onepoint functions of the defect cft dual to the d3d5 probe brane system with k units of flux which amounts to calculating the overlap between a bethe eigenstate of the integrable so6 spin chain and a certain matrix product state of bond dimension k in particular we show that the matrix product state is annihilated by all the parity odd charges of the spin chain which has recently been suggested as the criterion for such a state to correspond to an integrable initial state finally we discuss the properties of the analogous matrix product state for the so5 symmetric d3d7 probe brane setup
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1,802.01599
Cooper-Pair Spin Current in a Strontium Ruthenate Heterostructure
It has been recognized that the condensation of spin-triplet Cooper pairs requires not only the broken gauge symmetry but also the spin ordering as well. One consequence of this is the possibility of the Cooper-pair spin current analogous to the magnon spin current in magnetic insulators, the analogy also extending to the existence of the Gilbert damping of the collective spin-triplet dynamics. The recently fabricated heterostructure of the thin film of the itinerant ferromagnet SrRuO3 on the bulk Sr2RuO4, the best-known candidate material for the spin-triplet superconductor, offers a promising platform for generating such spin current. We will show how such heterostructure allows us to not only realize the long-range spin valve but also electrically drive the collective spin mode of the spin-triplet order parameter. Our proposal represents both a new realization of the spin superfluidity and a transport signature of the spin-triplet superconductivity.
cond-mat.supr-con
it has been recognized that the condensation of spintriplet cooper pairs requires not only the broken gauge symmetry but also the spin ordering as well one consequence of this is the possibility of the cooperpair spin current analogous to the magnon spin current in magnetic insulators the analogy also extending to the existence of the gilbert damping of the collective spintriplet dynamics the recently fabricated heterostructure of the thin film of the itinerant ferromagnet srruo3 on the bulk sr2ruo4 the bestknown candidate material for the spintriplet superconductor offers a promising platform for generating such spin current we will show how such heterostructure allows us to not only realize the longrange spin valve but also electrically drive the collective spin mode of the spintriplet order parameter our proposal represents both a new realization of the spin superfluidity and a transport signature of the spintriplet superconductivity
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1,802.016
Models of Tidally Induced Gas Filaments in the Magellanic Stream
The Magellanic Stream and Leading Arm of HI that stretches from the Large and Small Magellanic Clouds (LMC and SMC) and over 200 degrees of the Southern sky is thought to be formed from multiple encounters between the LMC and SMC. In this scenario, most of the gas in the Stream and Leading Arm is stripped from the SMC, yet recent observations have shown a bifurcation of the Trailing Arm that reveals LMC origins for some of the gas. Absorption measurements in the Stream also reveal an order of magnitude more gas than in current tidal models. We present hydrodynamical simulations of the multiple encounters between the LMC and SMC at their first pass around the Milky Way, assuming that the Clouds were more extended and gas rich in the past. Our models create filamentary structures of gas in the Trailing Stream from both the LMC and SMC. While the SMC trailing filament matches the observed Stream location, the LMC filament is offset. In addition, the total observed mass of the Stream in these models is underestimated of a factor of four when the ionized component is accounted for. Our results suggest that there should also be gas stripped from both the LMC and SMC in the Leading Arm, mirroring the bifurcation in the Trailing Stream. This prediction is consistent with recent measurements of spatial variation in chemical abundances in the Leading Arm, which show that gas from multiple sources is present, although the nature is still uncertain.
astro-ph.GA
the magellanic stream and leading arm of hi that stretches from the large and small magellanic clouds lmc and smc and over 200 degrees of the southern sky is thought to be formed from multiple encounters between the lmc and smc in this scenario most of the gas in the stream and leading arm is stripped from the smc yet recent observations have shown a bifurcation of the trailing arm that reveals lmc origins for some of the gas absorption measurements in the stream also reveal an order of magnitude more gas than in current tidal models we present hydrodynamical simulations of the multiple encounters between the lmc and smc at their first pass around the milky way assuming that the clouds were more extended and gas rich in the past our models create filamentary structures of gas in the trailing stream from both the lmc and smc while the smc trailing filament matches the observed stream location the lmc filament is offset in addition the total observed mass of the stream in these models is underestimated of a factor of four when the ionized component is accounted for our results suggest that there should also be gas stripped from both the lmc and smc in the leading arm mirroring the bifurcation in the trailing stream this prediction is consistent with recent measurements of spatial variation in chemical abundances in the leading arm which show that gas from multiple sources is present although the nature is still uncertain
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1,802.01601
Quantum Fisher information for general spatial deformations of quantum emitters
We present a framework for the detection and estimation of deformations applied to a grid of sources. Our formalism uses the Hamiltonian formulation of the quantum Fisher information matrix (\textsc{qfim}) as the figure of merit to quantify the amount of information we have on the deformation matrix. Quantum metrology for grid deformations provides an ideal testbed to examine multi-parameter estimations for arbitrarily parameterised channel evolutions with generally non-commuting Hermitian generators. We generalise the local generator of translations for deformation parameters to multi-parameter estimations and use it to explore how well different deformations can be detected and corrected for. This approach holds for any deformation. We explore the application of our theory to the set of affine geometry maps. Both the configuration of the grid and the properties of the sources help to maximise the sensitivity of the \textsc{qfim} to changes in the deformation parameters. For the non-multiplicative Hamiltonian parameterisations resulting from grid rotations about any chosen axis, oscillatory dependence of the \textsc{qfi} surfaces for a specific interplay between mutual source separation distances and grid configurations.
quant-ph
we present a framework for the detection and estimation of deformations applied to a grid of sources our formalism uses the hamiltonian formulation of the quantum fisher information matrix textscqfim as the figure of merit to quantify the amount of information we have on the deformation matrix quantum metrology for grid deformations provides an ideal testbed to examine multiparameter estimations for arbitrarily parameterised channel evolutions with generally noncommuting hermitian generators we generalise the local generator of translations for deformation parameters to multiparameter estimations and use it to explore how well different deformations can be detected and corrected for this approach holds for any deformation we explore the application of our theory to the set of affine geometry maps both the configuration of the grid and the properties of the sources help to maximise the sensitivity of the textscqfim to changes in the deformation parameters for the nonmultiplicative hamiltonian parameterisations resulting from grid rotations about any chosen axis oscillatory dependence of the textscqfi surfaces for a specific interplay between mutual source separation distances and grid configurations
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1,802.01602
Gauge-invariant observables, gravitational dressings, and holography in AdS
This paper explores construction of gauge (diffeomorphism)-invariant observables in anti de Sitter (AdS) space and the related question of how to find a "holographic map" providing a quantum equivalence to a boundary theory. Observables are constructed perturbatively to leading order in the gravitational coupling by gravitationally dressing local field theory operators in order to solve the gravitational constraints. Many such dressings are allowed and two are explicitly examined, corresponding to a gravitational line and to a Coulomb field; these also reveal an apparent role for more general boundary conditions than considered previously. The observables obey a nonlocal algebra, and we derive explicit expressions for the boundary generators of the SO(D-1,2) AdS isometries that act on them. We examine arguments that gravity {\it explains} holography through the role of such a boundary Hamiltonian. Our leading-order gravitational construction reveals some questions regarding how these arguments work, and indeed construction of such a holographic map appears to require solution of the non-perturbative generalization of the bulk constraint equations.
hep-th gr-qc
this paper explores construction of gauge diffeomorphisminvariant observables in anti de sitter ads space and the related question of how to find a holographic map providing a quantum equivalence to a boundary theory observables are constructed perturbatively to leading order in the gravitational coupling by gravitationally dressing local field theory operators in order to solve the gravitational constraints many such dressings are allowed and two are explicitly examined corresponding to a gravitational line and to a coulomb field these also reveal an apparent role for more general boundary conditions than considered previously the observables obey a nonlocal algebra and we derive explicit expressions for the boundary generators of the sod12 ads isometries that act on them we examine arguments that gravity it explains holography through the role of such a boundary hamiltonian our leadingorder gravitational construction reveals some questions regarding how these arguments work and indeed construction of such a holographic map appears to require solution of the nonperturbative generalization of the bulk constraint equations
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1,802.01603
Evading no-hair theorems: hairy black holes in a Minkowski box
We find hairy black holes of Einstein-Maxwell theory with a complex scalar field that is confined inside a box in a Minkowski background. These regular hairy black holes are asymptotically flat and thus the presence of the box or mirror allows to evade well-known no-hair theorems. We also find the Israel surface stress tensor that the confining box must have to obey the energy conditions. In the zero horizon radius limit, these hairy black holes reduce to a regular asymptotically flat hairy soliton. We find our solutions using perturbation theory. At leading order, a hairy black hole can be seen as a Reissner-Nordstrom black hole placed on top of a hairy soliton with the same chemical potential (so that the system is in thermodynamic equilibrium). The hairy black holes merge with the Reissner-Nordstrom black hole family at the onset of the superradiant instability. When they co-exist, for a given energy and electric charge, hairy black holes have higher entropy than caged Reissner-Nordstrom black holes. Therefore, our hairy black holes are the natural candidates for the endpoint of charged superradiance in the Reissner-Nordstrom black hole mirror system.
gr-qc hep-th
we find hairy black holes of einsteinmaxwell theory with a complex scalar field that is confined inside a box in a minkowski background these regular hairy black holes are asymptotically flat and thus the presence of the box or mirror allows to evade wellknown nohair theorems we also find the israel surface stress tensor that the confining box must have to obey the energy conditions in the zero horizon radius limit these hairy black holes reduce to a regular asymptotically flat hairy soliton we find our solutions using perturbation theory at leading order a hairy black hole can be seen as a reissnernordstrom black hole placed on top of a hairy soliton with the same chemical potential so that the system is in thermodynamic equilibrium the hairy black holes merge with the reissnernordstrom black hole family at the onset of the superradiant instability when they coexist for a given energy and electric charge hairy black holes have higher entropy than caged reissnernordstrom black holes therefore our hairy black holes are the natural candidates for the endpoint of charged superradiance in the reissnernordstrom black hole mirror system
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1,802.01604
Learning from Richer Human Guidance: Augmenting Comparison-Based Learning with Feature Queries
We focus on learning the desired objective function for a robot. Although trajectory demonstrations can be very informative of the desired objective, they can also be difficult for users to provide. Answers to comparison queries, asking which of two trajectories is preferable, are much easier for users, and have emerged as an effective alternative. Unfortunately, comparisons are far less informative. We propose that there is much richer information that users can easily provide and that robots ought to leverage. We focus on augmenting comparisons with feature queries, and introduce a unified formalism for treating all answers as observations about the true desired reward. We derive an active query selection algorithm, and test these queries in simulation and on real users. We find that richer, feature-augmented queries can extract more information faster, leading to robots that better match user preferences in their behavior.
cs.AI
we focus on learning the desired objective function for a robot although trajectory demonstrations can be very informative of the desired objective they can also be difficult for users to provide answers to comparison queries asking which of two trajectories is preferable are much easier for users and have emerged as an effective alternative unfortunately comparisons are far less informative we propose that there is much richer information that users can easily provide and that robots ought to leverage we focus on augmenting comparisons with feature queries and introduce a unified formalism for treating all answers as observations about the true desired reward we derive an active query selection algorithm and test these queries in simulation and on real users we find that richer featureaugmented queries can extract more information faster leading to robots that better match user preferences in their behavior
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1,802.01605
Dimension-scalable recurrence threshold estimation
The appropriate selection of recurrence thresholds is a key problem in applications of recurrence quantification analysis (RQA) and related methods across disciplines. Here, we discuss the distribution of pairwise distances between state vectors in the studied system's state space reconstructed by means of time-delay embedding as the key characteristic that should guide the corresponding choice for obtaining an adequate resolution of a recurrence plot. Specifically, we present an empirical description of the distance distribution, focusing on characteristic changes of its shape with increasing embedding dimension. Based on our results, we recommend selecting the recurrence threshold adaptively according to a fixed quantile of this distribution. We highlight the advantages of this strategy over other previously suggested approaches by discussing the performance of selected RQA measures in detecting chaos--chaos transitions in some prototypical model system.
physics.data-an nlin.CD
the appropriate selection of recurrence thresholds is a key problem in applications of recurrence quantification analysis rqa and related methods across disciplines here we discuss the distribution of pairwise distances between state vectors in the studied systems state space reconstructed by means of timedelay embedding as the key characteristic that should guide the corresponding choice for obtaining an adequate resolution of a recurrence plot specifically we present an empirical description of the distance distribution focusing on characteristic changes of its shape with increasing embedding dimension based on our results we recommend selecting the recurrence threshold adaptively according to a fixed quantile of this distribution we highlight the advantages of this strategy over other previously suggested approaches by discussing the performance of selected rqa measures in detecting chaoschaos transitions in some prototypical model system
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1,802.01606
Scaling of polarization amplitude in quantum many-body systems in one dimension
Resta proposed a definition of the electric polarization in one-dimensional systems in terms of the ground-state expectation value of the large gauge transformation operator. Vanishing of the expectation value in the thermodynamic limit implies that the system is a conductor. We study Resta's polarization amplitude (expectation value) in the $S=1/2$ XXZ chain and its several generalizations, in the gapless conducting Tomonaga-Luttinger Liquid phase. We obtain an analytical expression in the lowest-order perturbation theory about the free fermion point (XY chain), and an exact result for the Haldane-Shastry model with long-range interactions. We also obtain numerical results, mostly using the exact diagonalization method. We find that the amplitude exhibits a power-law scaling in the system size (chain length) and vanishes in the thermodynamic limit. On the other hand, the exponent depends on the model even when the low-energy limit is described by the Tomonaga-Luttinger Liquid with the same Luttinger parameter. We find that a change in the exponent occurs when the Umklapp term(s) are eliminated, suggesting the importance of the Umklapp terms.
cond-mat.stat-mech
resta proposed a definition of the electric polarization in onedimensional systems in terms of the groundstate expectation value of the large gauge transformation operator vanishing of the expectation value in the thermodynamic limit implies that the system is a conductor we study restas polarization amplitude expectation value in the s12 xxz chain and its several generalizations in the gapless conducting tomonagaluttinger liquid phase we obtain an analytical expression in the lowestorder perturbation theory about the free fermion point xy chain and an exact result for the haldaneshastry model with longrange interactions we also obtain numerical results mostly using the exact diagonalization method we find that the amplitude exhibits a powerlaw scaling in the system size chain length and vanishes in the thermodynamic limit on the other hand the exponent depends on the model even when the lowenergy limit is described by the tomonagaluttinger liquid with the same luttinger parameter we find that a change in the exponent occurs when the umklapp terms are eliminated suggesting the importance of the umklapp terms
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1,802.01607
$hh+\text{jet}$ production at 100 TeV
Higgs pair production is a crucial phenomenological process in deciphering the nature of the TeV scale and the mechanism underlying electroweak symmetry breaking. At the Large Hadron Collider, this process is statistically limited. Pushing the energy frontier beyond the LHC's reach will create new opportunities to exploit the rich phenomenology at higher centre-of-mass energies and luminosities. In this work, we perform a comparative analysis of the $hh+\text{jet}$ channel at a future 100 TeV hadron collider. We focus on the $hh\to b\bar b b\bar b$ and $hh \to b\bar b \tau^+\tau^-$ channels and employ a range of analysis techniques to estimate the sensitivity potential that can be gained by including this jet-associated Higgs pair production to the list of sensitive collider processes in such an environment. In particular, we observe that $hh \to b\bar b \tau^+\tau^-$ in the boosted regime exhibits a large sensitivity to the Higgs boson self-coupling and the Higgs self-coupling could be constrained at the 8\% level in this channel alone.
hep-ph hep-ex
higgs pair production is a crucial phenomenological process in deciphering the nature of the tev scale and the mechanism underlying electroweak symmetry breaking at the large hadron collider this process is statistically limited pushing the energy frontier beyond the lhcs reach will create new opportunities to exploit the rich phenomenology at higher centreofmass energies and luminosities in this work we perform a comparative analysis of the hhtextjet channel at a future 100 tev hadron collider we focus on the hhto bbar b bbar b and hh to bbar b tautau channels and employ a range of analysis techniques to estimate the sensitivity potential that can be gained by including this jetassociated higgs pair production to the list of sensitive collider processes in such an environment in particular we observe that hh to bbar b tautau in the boosted regime exhibits a large sensitivity to the higgs boson selfcoupling and the higgs selfcoupling could be constrained at the 8 level in this channel alone
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1,802.01608
On The Circular Altitude of Graphs
Peter Cameron introduced the concept of the circular altitude of graphs; a parameter which was shown by Bamberg et al. that provides a lower bound on the circular chromatic number. In this note, we investigate this parameter and show that the circular altitude of a graph is equal to the maximum of circular altitudes of its blocks. Also, we show that homomorphically equivalent graphs have the same circular altitudes. Finally, we prove that the circular altitude of the Cartesian product of two graphs is equal to the maximum of circular altitudes of its factors.
math.CO
peter cameron introduced the concept of the circular altitude of graphs a parameter which was shown by bamberg et al that provides a lower bound on the circular chromatic number in this note we investigate this parameter and show that the circular altitude of a graph is equal to the maximum of circular altitudes of its blocks also we show that homomorphically equivalent graphs have the same circular altitudes finally we prove that the circular altitude of the cartesian product of two graphs is equal to the maximum of circular altitudes of its factors
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1,802.01609
The KMOS Cluster Survey (KCS) II - The Effect of Environment on the Structural Properties of Massive Cluster Galaxies at Redshift $1.39 < z <1.61$
We present results on the structural properties of massive passive galaxies in three clusters at $1.39<z<1.61$ from the KMOS Cluster Survey. We measure light-weighted and mass-weighted sizes from optical and near-infrared Hubble Space Telescope imaging and spatially resolved stellar mass maps. The rest-frame $R$-band sizes of these galaxies are a factor of $\sim2-3$ smaller than their local counterparts. The slopes of the relation between the stellar mass and the light-weighted size are consistent with recent studies in clusters and the field. Their mass-weighted sizes are smaller than the rest frame $R$-band sizes, with an average mass-weighted to light-weighted size ratio that varies between $\sim0.45$ and $0.8$ among the clusters. We find that the median light-weighted size of the passive galaxies in the two more evolved clusters is $\sim24\%$ larger than for field galaxies, independent of the use of circularized effective radii or semi-major axes. These two clusters also show a smaller size ratio than the less evolved cluster, which we investigate using color gradients to probe the underlying $M_{*}/L_{H_{160}}$ gradients. The median color gradients are $\nabla{z-H} \sim-0.4$ mag dex$^{-1}$, twice the local value. Using stellar populations models, these gradients are best reproduced by a combination of age and metallicity gradients. Our results favor the minor merger scenario as the dominant process responsible for the observed galaxy properties and the environmental differences at this redshift. The environmental differences support that clusters experience accelerated structural evolution compared to the field, likely via an epoch of enhanced minor merger activity during cluster assembly.
astro-ph.GA
we present results on the structural properties of massive passive galaxies in three clusters at 139z161 from the kmos cluster survey we measure lightweighted and massweighted sizes from optical and nearinfrared hubble space telescope imaging and spatially resolved stellar mass maps the restframe rband sizes of these galaxies are a factor of sim23 smaller than their local counterparts the slopes of the relation between the stellar mass and the lightweighted size are consistent with recent studies in clusters and the field their massweighted sizes are smaller than the rest frame rband sizes with an average massweighted to lightweighted size ratio that varies between sim045 and 08 among the clusters we find that the median lightweighted size of the passive galaxies in the two more evolved clusters is sim24 larger than for field galaxies independent of the use of circularized effective radii or semimajor axes these two clusters also show a smaller size ratio than the less evolved cluster which we investigate using color gradients to probe the underlying m_l_h_160 gradients the median color gradients are nablazh sim04 mag dex1 twice the local value using stellar populations models these gradients are best reproduced by a combination of age and metallicity gradients our results favor the minor merger scenario as the dominant process responsible for the observed galaxy properties and the environmental differences at this redshift the environmental differences support that clusters experience accelerated structural evolution compared to the field likely via an epoch of enhanced minor merger activity during cluster assembly
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1,802.0161
Fast and accurate approximation of the full conditional for gamma shape parameters
The gamma distribution arises frequently in Bayesian models, but there is not an easy-to-use conjugate prior for the shape parameter of a gamma. This inconvenience is usually dealt with by using either Metropolis-Hastings moves, rejection sampling methods, or numerical integration. However, in models with a large number of shape parameters, these existing methods are slower or more complicated than one would like, making them burdensome in practice. It turns out that the full conditional distribution of the gamma shape parameter is well approximated by a gamma distribution, even for small sample sizes, when the prior on the shape parameter is also a gamma distribution. This article introduces a quick and easy algorithm for finding a gamma distribution that approximates the full conditional distribution of the shape parameter. We empirically demonstrate the speed and accuracy of the approximation across a wide range of conditions. If exactness is required, the approximation can be used as a proposal distribution for Metropolis-Hastings.
stat.CO stat.ML
the gamma distribution arises frequently in bayesian models but there is not an easytouse conjugate prior for the shape parameter of a gamma this inconvenience is usually dealt with by using either metropolishastings moves rejection sampling methods or numerical integration however in models with a large number of shape parameters these existing methods are slower or more complicated than one would like making them burdensome in practice it turns out that the full conditional distribution of the gamma shape parameter is well approximated by a gamma distribution even for small sample sizes when the prior on the shape parameter is also a gamma distribution this article introduces a quick and easy algorithm for finding a gamma distribution that approximates the full conditional distribution of the shape parameter we empirically demonstrate the speed and accuracy of the approximation across a wide range of conditions if exactness is required the approximation can be used as a proposal distribution for metropolishastings
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1,802.01611
A Sterile Neutrino Origin for the Upward Directed Cosmic Ray Showers Detected by ANITA
The ANITA balloon experiment has recently observed several ~EeV cascade events at an angle below the horizon that renders any Standard Model (SM) interpretation unlikely as the Earth is significantly opaque to all SM particles at such energies. In this paper, we study a sterile neutrino interpretation of these events, calculating the angular acceptance of cascades and the relative sensitivities of several experiments to a cascade initiated by an EeV sterile neutrino. We find that ANITA is uniquely sensitive to this type of upward directed cascade signal over a wide portion of the sky and from the direction of the two observed events has a transient acceptance roughly equivalent to that of the IceCube experiment.
hep-ph astro-ph.HE
the anita balloon experiment has recently observed several eev cascade events at an angle below the horizon that renders any standard model sm interpretation unlikely as the earth is significantly opaque to all sm particles at such energies in this paper we study a sterile neutrino interpretation of these events calculating the angular acceptance of cascades and the relative sensitivities of several experiments to a cascade initiated by an eev sterile neutrino we find that anita is uniquely sensitive to this type of upward directed cascade signal over a wide portion of the sky and from the direction of the two observed events has a transient acceptance roughly equivalent to that of the icecube experiment
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1,802.01612
Sequence-dependent Three Interaction Site (TIS) Model for Single and Double-stranded DNA
We develop a robust coarse-grained model for single and double stranded DNA by representing each nucleotide by three interaction sites (TIS) located at the centers of mass of sugar, phosphate, and base. The resulting TIS model includes base-stacking, hydrogen bond, and electrostatic interactions as well as bond-stretching and bond angle potentials that account for the polymeric nature of DNA. The choices of force constants for stretching and the bending potentials were guided by a Boltzmann inversion procedure using a large representative set of DNA structures extracted from the Protein Data Bank. Some of the parameters in the stacking interactions were calculated using a learning procedure, which ensured that the experimentally measured melting temperatures of dimers are faithfully reproduced. Without any further adjustments, the calculations based on the TIS model reproduces the experimentally measured salt and sequence dependence of the size of single stranded DNA (ssDNA), as well as the persistence lengths of poly(dA) and poly(dT) chains. Interestingly, upon application of mechanical force the extension of poly(dA) exhibits a plateau, which we trace to the formation of stacked helical domains. In contrast, the force-extension curve (FEC) of poly(dT) is entropic in origin, and could be described by a standard polymer model. We also show that the persistence length of double stranded DNA is consistent with the prediction based on the worm-like chain. The persistence length, which decreases with increasing salt concentration, is in accord with the Odijk-Skolnick-Fixman theory intended for stiff polyelectrolyte chains near the rod limit. The range of applications, which did not require adjusting any parameter after the initial construction based solely on PDB structures and melting profiles of dimers, attests to the transferability and robustness of the TIS model for ssDNA and dsDNA.
q-bio.BM cond-mat.soft
we develop a robust coarsegrained model for single and double stranded dna by representing each nucleotide by three interaction sites tis located at the centers of mass of sugar phosphate and base the resulting tis model includes basestacking hydrogen bond and electrostatic interactions as well as bondstretching and bond angle potentials that account for the polymeric nature of dna the choices of force constants for stretching and the bending potentials were guided by a boltzmann inversion procedure using a large representative set of dna structures extracted from the protein data bank some of the parameters in the stacking interactions were calculated using a learning procedure which ensured that the experimentally measured melting temperatures of dimers are faithfully reproduced without any further adjustments the calculations based on the tis model reproduces the experimentally measured salt and sequence dependence of the size of single stranded dna ssdna as well as the persistence lengths of polyda and polydt chains interestingly upon application of mechanical force the extension of polyda exhibits a plateau which we trace to the formation of stacked helical domains in contrast the forceextension curve fec of polydt is entropic in origin and could be described by a standard polymer model we also show that the persistence length of double stranded dna is consistent with the prediction based on the wormlike chain the persistence length which decreases with increasing salt concentration is in accord with the odijkskolnickfixman theory intended for stiff polyelectrolyte chains near the rod limit the range of applications which did not require adjusting any parameter after the initial construction based solely on pdb structures and melting profiles of dimers attests to the transferability and robustness of the tis model for ssdna and dsdna
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1,802.01613
The Inhomogeneous Reionization Times of Present-day Galaxies
Today's galaxies experienced cosmic reionization at different times in different locations. For the first time, reionization ($50\%$ ionized) redshifts, $z_R$, at the location of their progenitors are derived from new, fully-coupled radiation-hydrodynamics simulation of galaxy formation and reionization at $z > 6$, matched to N-body simulation to z = 0. Constrained initial conditions were chosen to form the well-known structures of the local universe, including the Local Group and Virgo, in a (91 Mpc)$^3$ volume large enough to model both global and local reionization. Reionization simulation CoDa I-AMR, by CPU-GPU code EMMA, used (2048)$^3$ particles and (2048)$^3$ initial cells, adaptively-refined, while N-body simulation CoDa I-DM2048, by Gadget2, used (2048)$^3$ particles, to find reionization times for all galaxies at z = 0 with masses $M(z=0)\ge 10^8 M_\odot$. Galaxies with $M(z=0) \gtrsim 10^{11} M_\odot$ reionized earlier than the universe as a whole, by up to $\sim$ 500 Myrs, with significant scatter. For Milky-Way-like galaxies, $z_R$ ranged from 8 to 15. Galaxies with $M(z=0) \lesssim 10^{11} M_\odot$ typically reionized as late or later than globally-averaged $50\%$ reionization at $\langle z_R\rangle =7.8$, in neighborhoods where reionization was completed by external radiation. The spread of reionization times within galaxies was sometimes as large as the galaxy-to-galaxy scatter. The Milky Way and M31 reionized earlier than global reionization but later than typical for their mass, neither dominated by external radiation. Their most massive progenitors at $z>6$ had $z_R$ = 9.8 (MW) and 11 (M31), while their total masses had $z_R$ = 8.2 (both).
astro-ph.CO
todays galaxies experienced cosmic reionization at different times in different locations for the first time reionization 50 ionized redshifts z_r at the location of their progenitors are derived from new fullycoupled radiationhydrodynamics simulation of galaxy formation and reionization at z 6 matched to nbody simulation to z 0 constrained initial conditions were chosen to form the wellknown structures of the local universe including the local group and virgo in a 91 mpc3 volume large enough to model both global and local reionization reionization simulation coda iamr by cpugpu code emma used 20483 particles and 20483 initial cells adaptivelyrefined while nbody simulation coda idm2048 by gadget2 used 20483 particles to find reionization times for all galaxies at z 0 with masses mz0ge 108 m_odot galaxies with mz0 gtrsim 1011 m_odot reionized earlier than the universe as a whole by up to sim 500 myrs with significant scatter for milkywaylike galaxies z_r ranged from 8 to 15 galaxies with mz0 lesssim 1011 m_odot typically reionized as late or later than globallyaveraged 50 reionization at langle z_rrangle 78 in neighborhoods where reionization was completed by external radiation the spread of reionization times within galaxies was sometimes as large as the galaxytogalaxy scatter the milky way and m31 reionized earlier than global reionization but later than typical for their mass neither dominated by external radiation their most massive progenitors at z6 had z_r 98 mw and 11 m31 while their total masses had z_r 82 both
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1,802.01614
ComPAS: Community Preserving Sampling for Streaming Graphs
In the era of big data, graph sampling is indispensable in many settings. Existing sampling methods are mostly designed for static graphs, and aim to preserve basic structural properties of the original graph (such as degree distribution, clustering coefficient etc.) in the sample. We argue that for any sampling method it is impossible to produce an universal representative sample which can preserve all the properties of the original graph; rather sampling should be application specific (such as preserving hubs - needed for information diffusion). Here we consider community detection as an application scenario. We propose ComPAS, a novel sampling strategy that unlike previous methods, is not only designed for streaming graphs (which is a more realistic representation of a real-world scenario) but also preserves the community structure of the original graph in the sample. Empirical results on both synthetic and different real-world graphs show that ComPAS is the best to preserve the underlying community structure with average performance reaching 73.2% of the most informed algorithm for static graphs.
cs.SI physics.soc-ph
in the era of big data graph sampling is indispensable in many settings existing sampling methods are mostly designed for static graphs and aim to preserve basic structural properties of the original graph such as degree distribution clustering coefficient etc in the sample we argue that for any sampling method it is impossible to produce an universal representative sample which can preserve all the properties of the original graph rather sampling should be application specific such as preserving hubs needed for information diffusion here we consider community detection as an application scenario we propose compas a novel sampling strategy that unlike previous methods is not only designed for streaming graphs which is a more realistic representation of a realworld scenario but also preserves the community structure of the original graph in the sample empirical results on both synthetic and different realworld graphs show that compas is the best to preserve the underlying community structure with average performance reaching 732 of the most informed algorithm for static graphs
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1,802.01615
Association schemes perspective of microbubble cluster in ultrasonic fields
Dynamics of a cluster of chaotic oscillators on a network are studied using coupled maps. By introducing the association schemes, we obtain coupling strength in the adjacency matrices form, which satisfies Markov matrices property. We remark that in general, the stability region of the cluster of oscillators at the synchronization state is characterized by Lyapunov exponent which can be defined based on the N-coupled map. As a detailed physical example, dynamics of microbubble cluster in an ultrasonic field are studied using coupled maps. Microbubble cluster dynamics have an indicative highly active nonlinear phenomenon, were not easy to be explained. In this paper, a cluster of microbubbles with a thin elastic shell based on the modified Keller-Herring equation in an ultrasonic field is demonstrated in the framework of the globally coupled map. On the other hand, a relation between the microbubble elements is replaced by a relation between the vertices. Based on this method, the stability region of microbubbles pulsations at complete synchronization state has been obtained analytically. In this way, distances between microbubbles as coupling strength play the crucial role. In the stability region, we thus observe that the problem of the study of dynamics of N-microbubble oscillators reduce to that of a single microbubble. Therefore, the important parameters of the isolated microbubble such as applied pressure, driving frequency and the initial radius have effective behavior on the synchronization state.
nlin.CD
dynamics of a cluster of chaotic oscillators on a network are studied using coupled maps by introducing the association schemes we obtain coupling strength in the adjacency matrices form which satisfies markov matrices property we remark that in general the stability region of the cluster of oscillators at the synchronization state is characterized by lyapunov exponent which can be defined based on the ncoupled map as a detailed physical example dynamics of microbubble cluster in an ultrasonic field are studied using coupled maps microbubble cluster dynamics have an indicative highly active nonlinear phenomenon were not easy to be explained in this paper a cluster of microbubbles with a thin elastic shell based on the modified kellerherring equation in an ultrasonic field is demonstrated in the framework of the globally coupled map on the other hand a relation between the microbubble elements is replaced by a relation between the vertices based on this method the stability region of microbubbles pulsations at complete synchronization state has been obtained analytically in this way distances between microbubbles as coupling strength play the crucial role in the stability region we thus observe that the problem of the study of dynamics of nmicrobubble oscillators reduce to that of a single microbubble therefore the important parameters of the isolated microbubble such as applied pressure driving frequency and the initial radius have effective behavior on the synchronization state
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1,802.01616
Re-Weighted Learning for Sparsifying Deep Neural Networks
This paper addresses the topic of sparsifying deep neural networks (DNN's). While DNN's are powerful models that achieve state-of-the-art performance on a large number of tasks, the large number of model parameters poses serious storage and computational challenges. To combat these difficulties, a growing line of work focuses on pruning network weights without sacrificing performance. We propose a general affine scaling transformation (AST) algorithm to sparsify DNN's. Our approach follows in the footsteps of popular sparse recovery techniques, which have yet to be explored in the context of DNN's. We describe a principled framework for transforming densely connected DNN's into sparsely connected ones without sacrificing network performance. Unlike existing methods, our approach is able to learn sparse connections at each layer simultaneously, and achieves comparable pruning results on the architecture tested.
cs.LG
this paper addresses the topic of sparsifying deep neural networks dnns while dnns are powerful models that achieve stateoftheart performance on a large number of tasks the large number of model parameters poses serious storage and computational challenges to combat these difficulties a growing line of work focuses on pruning network weights without sacrificing performance we propose a general affine scaling transformation ast algorithm to sparsify dnns our approach follows in the footsteps of popular sparse recovery techniques which have yet to be explored in the context of dnns we describe a principled framework for transforming densely connected dnns into sparsely connected ones without sacrificing network performance unlike existing methods our approach is able to learn sparse connections at each layer simultaneously and achieves comparable pruning results on the architecture tested
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1,802.01617
Predictive Second Order Sliding Control of Constrained Linear Systems with Application to Automotive Control Systems
This paper presents a new predictive second order sliding controller (PSSC) formulation for setpoint tracking of constrained linear systems. The PSSC scheme is developed by combining the concepts of model predictive control (MPC) and second order discrete sliding mode control. In order to guarantee the feasibility of the PSSC during setpoint changes, a virtual reference variable is added to the PSSC cost function to calculate the closest admissible set point. The states of the system are then driven asymptotically to this admissible setpoint by the control action of the PSSC. The performance of the proposed PSSC is evaluated for an advanced automotive engine case study, where a high fidelity physics-based model of a reactivity controlled compression ignition (RCCI) engine is utilized to serve as the virtual test-bed for the simulations. Considering the hard physical constraints on the RCCI engine states and control inputs, simultaneous tracking of engine load and optimal combustion phasing is a challenging objective to achieve. The simulation results of testing the proposed PSSC on the high fidelity RCCI model show that the developed predictive controller is able to track desired engine load and combustion phasing setpoints, with minimum steady state error, and no overshoot. Moreover, the simulation results confirm the robust tracking performance of the PSSC during transient operations, in the presence of engine cyclic variability.
cs.SY math.OC
this paper presents a new predictive second order sliding controller pssc formulation for setpoint tracking of constrained linear systems the pssc scheme is developed by combining the concepts of model predictive control mpc and second order discrete sliding mode control in order to guarantee the feasibility of the pssc during setpoint changes a virtual reference variable is added to the pssc cost function to calculate the closest admissible set point the states of the system are then driven asymptotically to this admissible setpoint by the control action of the pssc the performance of the proposed pssc is evaluated for an advanced automotive engine case study where a high fidelity physicsbased model of a reactivity controlled compression ignition rcci engine is utilized to serve as the virtual testbed for the simulations considering the hard physical constraints on the rcci engine states and control inputs simultaneous tracking of engine load and optimal combustion phasing is a challenging objective to achieve the simulation results of testing the proposed pssc on the high fidelity rcci model show that the developed predictive controller is able to track desired engine load and combustion phasing setpoints with minimum steady state error and no overshoot moreover the simulation results confirm the robust tracking performance of the pssc during transient operations in the presence of engine cyclic variability
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1,802.01618
Unified Analysis and Optimization of D2D Communications in Cellular Networks Over Fading Channels
This paper develops an innovative approach to the modeling and analysis of downlink cellular networks with device-to-device (D$2$D) transmissions. The analytical embodiment of the signal-to-noise and-interference ratio (SINR) analysis in general fading channels is unified due to the H-transform theory, a taxonomy never considered before in stochastic geometry-based cellular network modeling and analysis. The proposed framework has the potential, due to versatility of the Fox's H functions, of significantly simplifying the cumbersome analysis procedure and representation of D$2$D and cellular coverage, while subsuming those previously derived for all the known simple and composite fading models. By harnessing its tractability, the developed statistical machinery is employed to launch an investigation into the optimal design of coexisting D$2$D and cellular communications. We propose novel coverage-aware power control combined with opportunistic access control to maximize the area spectral efficiency (ASE) of D$2$D communications. Simulation results substantiate performance gains achieved by the proposed optimization framework in terms of cellular communication coverage probability, average D$2$D transmit power, and the ASE of D$2$D communications under different fading models and link- and network-level dynamics.
cs.IT math.IT
this paper develops an innovative approach to the modeling and analysis of downlink cellular networks with devicetodevice d2d transmissions the analytical embodiment of the signaltonoise andinterference ratio sinr analysis in general fading channels is unified due to the htransform theory a taxonomy never considered before in stochastic geometrybased cellular network modeling and analysis the proposed framework has the potential due to versatility of the foxs h functions of significantly simplifying the cumbersome analysis procedure and representation of d2d and cellular coverage while subsuming those previously derived for all the known simple and composite fading models by harnessing its tractability the developed statistical machinery is employed to launch an investigation into the optimal design of coexisting d2d and cellular communications we propose novel coverageaware power control combined with opportunistic access control to maximize the area spectral efficiency ase of d2d communications simulation results substantiate performance gains achieved by the proposed optimization framework in terms of cellular communication coverage probability average d2d transmit power and the ase of d2d communications under different fading models and link and networklevel dynamics
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1,802.01619
Convergence of Maximum Bisection Ratio of Sparse Random Graphs
We consider sequences of large sparse random graphs whose degree distribution approaches a limit with finite mean. This model includes both the random regular graphs and the Erd\"os-Renyi graphs of constant average degree. We prove that the maximum bisection ratio of such a graph sequence converges almost surely to a deterministic limit. We extend this result to so-called 2-spin spin glasses in the paramagnetic to ferromagnetic regime. Our work generalizes the graph interpolation method to some non-additive graph parameters.
math.PR
we consider sequences of large sparse random graphs whose degree distribution approaches a limit with finite mean this model includes both the random regular graphs and the erdosrenyi graphs of constant average degree we prove that the maximum bisection ratio of such a graph sequence converges almost surely to a deterministic limit we extend this result to socalled 2spin spin glasses in the paramagnetic to ferromagnetic regime our work generalizes the graph interpolation method to some nonadditive graph parameters
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1,802.0162
KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
Color-factor symmetry is used to derive a KLT-type relation for tree-level QCD amplitudes containing gluons and an arbitrary number of massive or massless quark-antiquark pairs, generalizing the expression for Yang-Mills amplitudes originally postulated by Bern, De Freitas, and Wong. An explicit expression is given for all amplitudes with two or fewer quark-antiquark pairs in terms of the (modified) momentum kernel. We also introduce the bicolor scalar theory, the "zeroth copy" of QCD, containing massless biadjoint scalars and massive bifundamental scalars, generalizing the biadjoint scalar theory of Cachazo, He, and Yuan. We derive KLT-type relations for tree-level amplitudes of biadjoint and bicolor theories using the color-factor symmetry possessed by these theories.
hep-th hep-ph
colorfactor symmetry is used to derive a klttype relation for treelevel qcd amplitudes containing gluons and an arbitrary number of massive or massless quarkantiquark pairs generalizing the expression for yangmills amplitudes originally postulated by bern de freitas and wong an explicit expression is given for all amplitudes with two or fewer quarkantiquark pairs in terms of the modified momentum kernel we also introduce the bicolor scalar theory the zeroth copy of qcd containing massless biadjoint scalars and massive bifundamental scalars generalizing the biadjoint scalar theory of cachazo he and yuan we derive klttype relations for treelevel amplitudes of biadjoint and bicolor theories using the colorfactor symmetry possessed by these theories
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1,802.01621
Un-unzippable Convex Caps
An unzipping of a polyhedron P is a cut-path through its vertices that unfolds P to a non-overlapping shape in the plane. It is an open problem to decide if every convex P has an unzipping. Here we show that there are nearly flat convex caps that have no unzipping. A convex cap is a "top" portion of a convex polyhedron; it has a boundary, i.e., it is not closed by a base.
cs.CG cs.DM
an unzipping of a polyhedron p is a cutpath through its vertices that unfolds p to a nonoverlapping shape in the plane it is an open problem to decide if every convex p has an unzipping here we show that there are nearly flat convex caps that have no unzipping a convex cap is a top portion of a convex polyhedron it has a boundary ie it is not closed by a base
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1,802.01622
A Matrix Baker-Akhiezer Function Associated with the Maxwell-Bloch Equations and their Finite-Gap Solutions
The Baker-Akhiezer (BA) function theory was successfully developed in the mid 1970s. This theory brought very interesting and important results in the spectral theory of almost periodic operators and theory of completely integrable nonlinear equations such as Korteweg-de Vries equation, nonlinear Schr\"odinger equation, sine-Gordon equation, Kadomtsev-Petviashvili equation. Subsequently the theory was reproduced for the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchies. However, extensions of the Baker-Akhiezer function for the Maxwell-Bloch (MB) system or for the Karpman-Kaup equations, which contain prescribed weight functions characterizing inhomogeneous broadening of the main frequency, are unknown. The main goal of the paper is to give a such of extension associated with the Maxwell-Bloch equations. Using different Riemann-Hilbert problems posed on the complex plane with a finite number of cuts we propose such a matrix function that has unit determinant and takes an explicit form through Cauchy integrals, hyperelliptic integrals and theta functions. The matrix BA function solves the AKNS equations (the Lax pair for MB system) and generates a quasi-periodic finite-gap solution to the Maxwell-Bloch equations. The suggested function will be useful in the study of the long time asymptotic behavior of solutions of different initial-boundary value problems for the MB equations using the Deift-Zhou method of steepest descent and for an investigation of rogue waves of the Maxwell-Bloch equations.
nlin.SI
the bakerakhiezer ba function theory was successfully developed in the mid 1970s this theory brought very interesting and important results in the spectral theory of almost periodic operators and theory of completely integrable nonlinear equations such as kortewegde vries equation nonlinear schrodinger equation sinegordon equation kadomtsevpetviashvili equation subsequently the theory was reproduced for the ablowitzkaupnewellsegur akns hierarchies however extensions of the bakerakhiezer function for the maxwellbloch mb system or for the karpmankaup equations which contain prescribed weight functions characterizing inhomogeneous broadening of the main frequency are unknown the main goal of the paper is to give a such of extension associated with the maxwellbloch equations using different riemannhilbert problems posed on the complex plane with a finite number of cuts we propose such a matrix function that has unit determinant and takes an explicit form through cauchy integrals hyperelliptic integrals and theta functions the matrix ba function solves the akns equations the lax pair for mb system and generates a quasiperiodic finitegap solution to the maxwellbloch equations the suggested function will be useful in the study of the long time asymptotic behavior of solutions of different initialboundary value problems for the mb equations using the deiftzhou method of steepest descent and for an investigation of rogue waves of the maxwellbloch equations
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1,802.01623
Cost-optimal design of a simplified highly renewable Chinese electricity network
Rapid economic growth in China has lead to an increasing energy demand in the country. In combination with China's emission control and clean air initiatives, it has resulted in large-scale expansion of the leading renewable energy technologies, wind and solar power. Their intermittent nature and uneven geographic distribution, however, raises the question of how to best exploit them in a future sustainable electricity system, where their combined production may very well exceed that of all other technologies. It is well known that interconnecting distant regions provides more favorable production patterns from wind and solar. On the other hand, long-distance connections challenge traditional local energy autonomy. In this paper, the advantage of interconnecting the contiguous provinces of China is quantified. To this end, two different methodologies are introduced. The first aims at gradually increasing heterogeneity, that is non-local wind and solar power production, to minimize production costs without regard to the match between production and demand. The second method optimizes the trade-off between low cost production and high utility value of the energy. In both cases, the study of a 100% renewable Chinese electricity network is based on 8 years of high-resolution hourly time series of wind and solar power generation and electricity demand for each of the provinces. From the study we conclude that compared to a baseline design of homogeneously distributed renewable capacities, a heterogeneous network not only lowers capital investments but also reduces backup dispatches from thermal units. Installing more capacity in provinces like Inner Mongolia, Jiangsu, Hainan and north-western regions, heterogeneous layouts may lower the levelized cost of electricity (LCOE) by up to 27%, and reduce backup needs by up to 64%.
physics.soc-ph
rapid economic growth in china has lead to an increasing energy demand in the country in combination with chinas emission control and clean air initiatives it has resulted in largescale expansion of the leading renewable energy technologies wind and solar power their intermittent nature and uneven geographic distribution however raises the question of how to best exploit them in a future sustainable electricity system where their combined production may very well exceed that of all other technologies it is well known that interconnecting distant regions provides more favorable production patterns from wind and solar on the other hand longdistance connections challenge traditional local energy autonomy in this paper the advantage of interconnecting the contiguous provinces of china is quantified to this end two different methodologies are introduced the first aims at gradually increasing heterogeneity that is nonlocal wind and solar power production to minimize production costs without regard to the match between production and demand the second method optimizes the tradeoff between low cost production and high utility value of the energy in both cases the study of a 100 renewable chinese electricity network is based on 8 years of highresolution hourly time series of wind and solar power generation and electricity demand for each of the provinces from the study we conclude that compared to a baseline design of homogeneously distributed renewable capacities a heterogeneous network not only lowers capital investments but also reduces backup dispatches from thermal units installing more capacity in provinces like inner mongolia jiangsu hainan and northwestern regions heterogeneous layouts may lower the levelized cost of electricity lcoe by up to 27 and reduce backup needs by up to 64
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1,802.01624
Irredundant Triangular Decomposition
Triangular decomposition is a classic, widely used and well-developed way to represent algebraic varieties with many applications. In particular, there exist sharp degree bounds for a single triangular set in terms of intrinsic data of the variety it represents, and powerful randomized algorithms for computing triangular decompositions using Hensel lifting in the zero-dimensional case and for irreducible varieties. However, in the general case, most of the algorithms computing triangular decompositions produce embedded components, which makes it impossible to directly apply the intrinsic degree bounds. This, in turn, is an obstacle for efficiently applying Hensel lifting due to the higher degrees of the output polynomials and the lower probability of success. In this paper, we give an algorithm to compute an irredundant triangular decomposition of an arbitrary algebraic set $W$ defined by a set of polynomials in C[x_1, x_2, ..., x_n]. Using this irredundant triangular decomposition, we were able to give intrinsic degree bounds for the polynomials appearing in the triangular sets and apply Hensel lifting techniques. Our decomposition algorithm is randomized, and we analyze the probability of success.
math.AG math.AC
triangular decomposition is a classic widely used and welldeveloped way to represent algebraic varieties with many applications in particular there exist sharp degree bounds for a single triangular set in terms of intrinsic data of the variety it represents and powerful randomized algorithms for computing triangular decompositions using hensel lifting in the zerodimensional case and for irreducible varieties however in the general case most of the algorithms computing triangular decompositions produce embedded components which makes it impossible to directly apply the intrinsic degree bounds this in turn is an obstacle for efficiently applying hensel lifting due to the higher degrees of the output polynomials and the lower probability of success in this paper we give an algorithm to compute an irredundant triangular decomposition of an arbitrary algebraic set w defined by a set of polynomials in cx_1 x_2 x_n using this irredundant triangular decomposition we were able to give intrinsic degree bounds for the polynomials appearing in the triangular sets and apply hensel lifting techniques our decomposition algorithm is randomized and we analyze the probability of success
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1,802.01625
A posteriori error estimates for the Laplace-Beltrami operator on parametric $C^2$ surfaces
We prove new a posteriori error estimates for surface finite element methods (SFEM). Surface FEM approximate solutions to PDE posed on surfaces. Prototypical examples are elliptic PDE involving the Laplace-Beltrami operator. Typically the surface is approximated by a polyhedral or higher-order polynomial approximation. The resulting FEM exhibits both a geometric consistency error due to the surface approximation and a standard Galerkin error. A posteriori estimates for SFEM require practical access to geometric information about the surface in order to computably bound the geometric error. It is thus advantageous to allow for maximum flexibility in representing surfaces in practical codes when proving a posteriori error estimates for SFEM. However, previous a posteriori estimates using general parametric surface representations are suboptimal by one order on $C^2$ surfaces. Proofs of error estimates optimally reflecting the geometric error instead employ the closest point projection, which is defined using the signed distance function. Because the closest point projection is often unavailable or inconvenient to use computationally, a posteriori estimates using the signed distance function have notable practical limitations. We merge these two perspectives by assuming {\it practical} access only to a general parametric representation of the surface, but using the distance function as a {\it theoretical} tool. This allows us to derive sharper geometric estimators which exhibit improved experimentally observed decay rates when implemented in adaptive surface finite element algorithms.
math.NA
we prove new a posteriori error estimates for surface finite element methods sfem surface fem approximate solutions to pde posed on surfaces prototypical examples are elliptic pde involving the laplacebeltrami operator typically the surface is approximated by a polyhedral or higherorder polynomial approximation the resulting fem exhibits both a geometric consistency error due to the surface approximation and a standard galerkin error a posteriori estimates for sfem require practical access to geometric information about the surface in order to computably bound the geometric error it is thus advantageous to allow for maximum flexibility in representing surfaces in practical codes when proving a posteriori error estimates for sfem however previous a posteriori estimates using general parametric surface representations are suboptimal by one order on c2 surfaces proofs of error estimates optimally reflecting the geometric error instead employ the closest point projection which is defined using the signed distance function because the closest point projection is often unavailable or inconvenient to use computationally a posteriori estimates using the signed distance function have notable practical limitations we merge these two perspectives by assuming it practical access only to a general parametric representation of the surface but using the distance function as a it theoretical tool this allows us to derive sharper geometric estimators which exhibit improved experimentally observed decay rates when implemented in adaptive surface finite element algorithms
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1,802.01626
Frobenius Heisenberg categorification
We associate a graded monoidal supercategory $\mathcal{H}\mathit{eis}_{F,k}$ to every graded Frobenius superalgebra $F$ and integer $k$. These categories, which categorify a broad range of lattice Heisenberg algebras, recover many previously defined Heisenberg categories as special cases. In this way, the categories $\mathcal{H}\mathit{eis}_{F,k}$ serve as a unifying and generalizing framework for Heisenberg categorification. Even in the case of previously defined Heisenberg categories, we obtain new, more efficient, presentations of these categories, based on an approach of Brundan. When $k=0$, our construction yields new versions of the affine oriented Brauer category depending on a graded Frobenius superalgebra.
math.RT
we associate a graded monoidal supercategory mathcalhmathiteis_fk to every graded frobenius superalgebra f and integer k these categories which categorify a broad range of lattice heisenberg algebras recover many previously defined heisenberg categories as special cases in this way the categories mathcalhmathiteis_fk serve as a unifying and generalizing framework for heisenberg categorification even in the case of previously defined heisenberg categories we obtain new more efficient presentations of these categories based on an approach of brundan when k0 our construction yields new versions of the affine oriented brauer category depending on a graded frobenius superalgebra
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1,802.01627
Sensitivity of asymmetric rate-dependent critical systems to initial conditions: insights into cellular decision making
The work reported here aims to address the effects of time-dependent parameters and stochasticity on decision-making in biological systems. We achieve this by extending previous studies that resorted to simple normal forms. Yet, we focus primarily on the issue of the system's sensitivity to initial conditions in the presence of different noise distributions. In addition, we assess the impact of two-way sweeping through the critical region of a canonical Pitchfork bifurcation with a constant external asymmetry. The parallel with decision-making in bio-circuits is performed on this simple system since it is equivalent in its available states and dynamics to more complex genetic circuits. Overall, we verify that rate-dependent effects are specific to particular initial conditions. Information processing for each starting state is affected by the balance between sweeping speed through critical regions, and the type of fluctuations added. For a heavy-tail noise, forward-reverse dynamic bifurcations are more efficient in processing the information contained in external signals, when compared to the system relying on escape dynamics, if it starts at an attractor not favoured by the asymmetry and, in conjunction, if the sweeping amplitude is large.
q-bio.QM q-bio.MN
the work reported here aims to address the effects of timedependent parameters and stochasticity on decisionmaking in biological systems we achieve this by extending previous studies that resorted to simple normal forms yet we focus primarily on the issue of the systems sensitivity to initial conditions in the presence of different noise distributions in addition we assess the impact of twoway sweeping through the critical region of a canonical pitchfork bifurcation with a constant external asymmetry the parallel with decisionmaking in biocircuits is performed on this simple system since it is equivalent in its available states and dynamics to more complex genetic circuits overall we verify that ratedependent effects are specific to particular initial conditions information processing for each starting state is affected by the balance between sweeping speed through critical regions and the type of fluctuations added for a heavytail noise forwardreverse dynamic bifurcations are more efficient in processing the information contained in external signals when compared to the system relying on escape dynamics if it starts at an attractor not favoured by the asymmetry and in conjunction if the sweeping amplitude is large
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1,802.01628
Proposed Spreadsheet Transparency Definition and Measures
Auditors demand financial models be transparent yet no consensus exists on what that means precisely. Without a clear modeling transparency definition we cannot know when our models are "transparent". The financial modeling community debates which methods are more or less transparent as though transparency is a quantifiable entity yet no measures exist. Without a transparency measure modelers cannot objectively evaluate methods and know which improves model transparency. This paper proposes a definition for spreadsheet modeling transparency that is specific enough to create measures and automation tools for auditors to determine if a model meets transparency requirements. The definition also provides modelers the ability to objectively compare spreadsheet modeling methods to select which best meets their goals.
cs.SE
auditors demand financial models be transparent yet no consensus exists on what that means precisely without a clear modeling transparency definition we cannot know when our models are transparent the financial modeling community debates which methods are more or less transparent as though transparency is a quantifiable entity yet no measures exist without a transparency measure modelers cannot objectively evaluate methods and know which improves model transparency this paper proposes a definition for spreadsheet modeling transparency that is specific enough to create measures and automation tools for auditors to determine if a model meets transparency requirements the definition also provides modelers the ability to objectively compare spreadsheet modeling methods to select which best meets their goals
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1,802.01629
The Cohomology of Unramified Rapoport-Zink Spaces of EL-type and Harris's Conjecture
We study the $l$-adic cohomology of unramified Rapoport-Zink spaces of EL-type. These spaces were used in Harris and Taylor's proof of the local Langlands correspondence for $\mathrm{GL_n}$ and to show local-global compatibilities of the Langlands correspondence. In this paper we consider certain morphisms, $\mathrm{Mant}_{b, \mu}$, of Grothendieck groups of representations constructed from the cohomology of the above spaces, as studied by Harris and Taylor, Mantovan, Fargues, Shin, and others. Due to earlier work of Fargues and Shin we have a description of $\mathrm{Mant}_{b, \mu}(\rho)$ for $\rho$ a supercuspidal representation. In this paper, we give a conjectural formula for $\mathrm{Mant}_{b, \mu}(\rho)$ for all $\rho$ and prove it when $\rho$ is essentially square integrable. Our proof works for general $\rho$ conditionally on a conjecture appearing in Shin's work. We show that our description agrees with a conjecture of Harris in the case of parabolic inductions of supercuspidal representations of a Levi subgroup.
math.NT math.AG
we study the ladic cohomology of unramified rapoportzink spaces of eltype these spaces were used in harris and taylors proof of the local langlands correspondence for mathrmgl_n and to show localglobal compatibilities of the langlands correspondence in this paper we consider certain morphisms mathrmmant_b mu of grothendieck groups of representations constructed from the cohomology of the above spaces as studied by harris and taylor mantovan fargues shin and others due to earlier work of fargues and shin we have a description of mathrmmant_b murho for rho a supercuspidal representation in this paper we give a conjectural formula for mathrmmant_b murho for all rho and prove it when rho is essentially square integrable our proof works for general rho conditionally on a conjecture appearing in shins work we show that our description agrees with a conjecture of harris in the case of parabolic inductions of supercuspidal representations of a levi subgroup
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1,802.0163
Estimation of Viterbi path in Bayesian hidden Markov models
The article studies different methods for estimating the Viterbi path in the Bayesian framework. The Viterbi path is an estimate of the underlying state path in hidden Markov models (HMMs), which has a maximum posterior probability (MAP). For an HMM with given parameters, the Viterbi path can be easily found with the Viterbi algorithm. In the Bayesian framework the Viterbi algorithm is not applicable and several iterative methods can be used instead. We introduce a new EM-type algorithm for finding the MAP path and compare it with various other methods for finding the MAP path, including the variational Bayes approach and MCMC methods. Examples with simulated data are used to compare the performance of the methods. The main focus is on non-stochastic iterative methods and our results show that the best of those methods work as well or better than the best MCMC methods. Our results demonstrate that when the primary goal is segmentation, then it is more reasonable to perform segmentation directly by considering the transition and emission parameters as nuisance parameters.
stat.CO
the article studies different methods for estimating the viterbi path in the bayesian framework the viterbi path is an estimate of the underlying state path in hidden markov models hmms which has a maximum posterior probability map for an hmm with given parameters the viterbi path can be easily found with the viterbi algorithm in the bayesian framework the viterbi algorithm is not applicable and several iterative methods can be used instead we introduce a new emtype algorithm for finding the map path and compare it with various other methods for finding the map path including the variational bayes approach and mcmc methods examples with simulated data are used to compare the performance of the methods the main focus is on nonstochastic iterative methods and our results show that the best of those methods work as well or better than the best mcmc methods our results demonstrate that when the primary goal is segmentation then it is more reasonable to perform segmentation directly by considering the transition and emission parameters as nuisance parameters
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1,802.01631
A Discrete Spherical Harmonics Method for Radiative Transfer Analysis in Inhomogeneous Polarized Planar Atmosphere
A discrete spherical harmonics method is developed for the radiative transfer problem in inhomogeneous polarized planar atmosphere illuminated at the top by a collimated sunlight while the bottom reflects the radiation. The method expands both the Stokes vector and the phase matrix in a finite series of generalized spherical functions and the resulting vector radiative transfer equation is expressed in a set of polar directions. Hence, the polarized characteristics of the radiance within the atmosphere at any polar direction and azimuthal angle can be determined without linearization and/or interpolations. The spatial dependent of the problem is solved using the spectral Chebyshev method. The emergent and transmitted radiative intensity and the degree of polarization are predicted for both Rayleigh and Mie scattering. The discrete spherical harmonics method predictions using 36 streams are found in good agreement with benchmark literature results. The maximum deviation between the proposed method and literature results and for absolue value of the polar directions greater than 0.1 is less than 0.5% and 0.9% for the Rayleigh and Mie scattering, respectively. These deviations for directions close to zero are about 3% and 10 % for Rayleigh and Mie scattering, respectively.
astro-ph.IM
a discrete spherical harmonics method is developed for the radiative transfer problem in inhomogeneous polarized planar atmosphere illuminated at the top by a collimated sunlight while the bottom reflects the radiation the method expands both the stokes vector and the phase matrix in a finite series of generalized spherical functions and the resulting vector radiative transfer equation is expressed in a set of polar directions hence the polarized characteristics of the radiance within the atmosphere at any polar direction and azimuthal angle can be determined without linearization andor interpolations the spatial dependent of the problem is solved using the spectral chebyshev method the emergent and transmitted radiative intensity and the degree of polarization are predicted for both rayleigh and mie scattering the discrete spherical harmonics method predictions using 36 streams are found in good agreement with benchmark literature results the maximum deviation between the proposed method and literature results and for absolue value of the polar directions greater than 01 is less than 05 and 09 for the rayleigh and mie scattering respectively these deviations for directions close to zero are about 3 and 10 for rayleigh and mie scattering respectively
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1,802.01632
Electrical-current-induced magnetic hysteresis in self-assembled vertically aligned La_{2/3}Sr_{1/3}MnO_3:ZnO-nanopillar composites
Magnetoresistive random-access memory (MRAM) is poised to become a next-generation information storage device. Yet, many materials challenges remain unsolved before it can become a widely used memory storage solution. Among them, an urgent need is to identify a material system that is suitable for downscaling and is compatible with low-power logic applications. Self-assembled, vertically-aligned La_{2/3}Sr_{1/3}MnO_3:ZnO nanocomposites, in which La_{2/3}Sr_{1/3}MnO_3 (LSMO) matrix and ZnO nanopillars form an intertwined structure with coincident-site-matched growth occurring between the LSMO and ZnO vertical interfaces, may offer new MRAM applications by combining their superior electric, magnetic (B), and optical properties. In this paper, we show the results of electrical current induced magnetic hysteresis in magneto-resistance measurements in these nano-pillar composites. We observe that when the current level is low, for example, 1 uA, the magneto-resistance displays a linear, negative, non-hysteretic B field dependence. Surprisingly, when a large current is used, I > 10 uA, a hysteretic behavior is observed when the B field is swept in the up and down directions. This hysteresis weakens as the sample temperature is increased. A possible spin-valve mechanism related to this electrical current induced magnetic hysteresis is proposed and discussed.
cond-mat.mtrl-sci
magnetoresistive randomaccess memory mram is poised to become a nextgeneration information storage device yet many materials challenges remain unsolved before it can become a widely used memory storage solution among them an urgent need is to identify a material system that is suitable for downscaling and is compatible with lowpower logic applications selfassembled verticallyaligned la_23sr_13mno_3zno nanocomposites in which la_23sr_13mno_3 lsmo matrix and zno nanopillars form an intertwined structure with coincidentsitematched growth occurring between the lsmo and zno vertical interfaces may offer new mram applications by combining their superior electric magnetic b and optical properties in this paper we show the results of electrical current induced magnetic hysteresis in magnetoresistance measurements in these nanopillar composites we observe that when the current level is low for example 1 ua the magnetoresistance displays a linear negative nonhysteretic b field dependence surprisingly when a large current is used i 10 ua a hysteretic behavior is observed when the b field is swept in the up and down directions this hysteresis weakens as the sample temperature is increased a possible spinvalve mechanism related to this electrical current induced magnetic hysteresis is proposed and discussed
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1,802.01633
Topological phases, edge modes, and the Hofstadter butterfly in coupled Su-Schrieffer-Heeger systems
Motivated by recent experimental realizations of topological edge states in Su-Schrieffer-Heeger (SSH) chains, we theoretically study a ladder system whose legs are comprised of two such chains. We show that the ladder hosts a rich phase diagram and related edge mode structure dictated by choice of inter-chain and intra-chain couplings. Namely, we exhibit three distinct physical regimes: a topological hosting localized zero energy edge modes, a topologically trivial phase having no edge mode structure, and a regime reminiscent of a weak topological insulator having unprotected edge modes resembling a "twin-SSH" construction. In the topological phase, the SSH ladder system acts as an analog of the Kitaev chain, which is known to support localized Majorana fermion end modes, with the difference that bound states of the SSH ladder having the same spatial wavefunction profiles correspond to Dirac fermion modes. Further, inhomogeneity in the couplings can have a drastic effect on the topological phase diagram of the ladder system. In particular for quasiperiodic variations of the inter-chain coupling, the phase diagram reproduces Hofstadter's butterfly pattern. We thus identify the SSH ladder system as a potential candidate for experimental observation of such fractal structure.
cond-mat.mes-hall
motivated by recent experimental realizations of topological edge states in suschriefferheeger ssh chains we theoretically study a ladder system whose legs are comprised of two such chains we show that the ladder hosts a rich phase diagram and related edge mode structure dictated by choice of interchain and intrachain couplings namely we exhibit three distinct physical regimes a topological hosting localized zero energy edge modes a topologically trivial phase having no edge mode structure and a regime reminiscent of a weak topological insulator having unprotected edge modes resembling a twinssh construction in the topological phase the ssh ladder system acts as an analog of the kitaev chain which is known to support localized majorana fermion end modes with the difference that bound states of the ssh ladder having the same spatial wavefunction profiles correspond to dirac fermion modes further inhomogeneity in the couplings can have a drastic effect on the topological phase diagram of the ladder system in particular for quasiperiodic variations of the interchain coupling the phase diagram reproduces hofstadters butterfly pattern we thus identify the ssh ladder system as a potential candidate for experimental observation of such fractal structure
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1,802.01634
Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions
We show that a system of three species of one-dimensional fermions, with an attractive three-body contact interaction, features a scale anomaly directly related to the anomaly of two-dimensional fermions with two-body forces. We show, furthermore, that those two cases (and their multi species generalizations) are the only non-relativistic systems with contact interactions that display a scale anomaly. While the two-dimensional case is well-known and has been under study both experimentally and theoretically for years, the one-dimensional case presented here has remained unexplored. For the latter, we calculate the impact of the anomaly on the equation of state, which appears through the generalization of Tan's contact for three-body forces, and determine the pressure at finite temperature. In addition, we show that the third-order virial coefficient is proportional to the second-order coefficient of the two-dimensional two-body case.
cond-mat.quant-gas hep-th nucl-th quant-ph
we show that a system of three species of onedimensional fermions with an attractive threebody contact interaction features a scale anomaly directly related to the anomaly of twodimensional fermions with twobody forces we show furthermore that those two cases and their multi species generalizations are the only nonrelativistic systems with contact interactions that display a scale anomaly while the twodimensional case is wellknown and has been under study both experimentally and theoretically for years the onedimensional case presented here has remained unexplored for the latter we calculate the impact of the anomaly on the equation of state which appears through the generalization of tans contact for threebody forces and determine the pressure at finite temperature in addition we show that the thirdorder virial coefficient is proportional to the secondorder coefficient of the twodimensional twobody case
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1,802.01635
Imaging a non-singular rotating black hole at the center of the Galaxy
We show that the rotating generalization of Hayward's non-singular black hole previously studied in the literature is geodesically incomplete, and that its straightforward extension leads to a singular spacetime. We present another extension, which is devoid of any curvature singularity. The obtained metric depends on three parameters and, depending on their values, yields an event horizon or not. These two regimes, named respectively regular rotating Hayward black hole and naked rotating wormhole, are studied both numerically and analytically. In preparation for the upcoming results of the Event Horizon Telescope, the images of an accretion torus around Sgr A*, the supermassive object at the center of the Galaxy, are computed. These images contain, even in the absence of a horizon, a central faint region which bears a resemblance to the shadow of Kerr black holes and emphasizes the difficulty of claiming the existence of an event horizon from the analysis of strong-field images. The frequencies of the co- and contra-rotating orbits at the innermost stable circular orbit (ISCO) in this geometry are also computed, in the hope that quasi-periodic oscillations may permit to compare this model with Kerr's black hole on observational grounds.
gr-qc astro-ph.HE
we show that the rotating generalization of haywards nonsingular black hole previously studied in the literature is geodesically incomplete and that its straightforward extension leads to a singular spacetime we present another extension which is devoid of any curvature singularity the obtained metric depends on three parameters and depending on their values yields an event horizon or not these two regimes named respectively regular rotating hayward black hole and naked rotating wormhole are studied both numerically and analytically in preparation for the upcoming results of the event horizon telescope the images of an accretion torus around sgr a the supermassive object at the center of the galaxy are computed these images contain even in the absence of a horizon a central faint region which bears a resemblance to the shadow of kerr black holes and emphasizes the difficulty of claiming the existence of an event horizon from the analysis of strongfield images the frequencies of the co and contrarotating orbits at the innermost stable circular orbit isco in this geometry are also computed in the hope that quasiperiodic oscillations may permit to compare this model with kerrs black hole on observational grounds
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1,802.01636
Do You Want Your Autonomous Car To Drive Like You?
With progress in enabling autonomous cars to drive safely on the road, it is time to start asking how they should be driving. A common answer is that they should be adopting their users' driving style. This makes the assumption that users want their autonomous cars to drive like they drive - aggressive drivers want aggressive cars, defensive drivers want defensive cars. In this paper, we put that assumption to the test. We find that users tend to prefer a significantly more defensive driving style than their own. Interestingly, they prefer the style they think is their own, even though their actual driving style tends to be more aggressive. We also find that preferences do depend on the specific driving scenario, opening the door for new ways of learning driving style preference.
cs.RO cs.HC
with progress in enabling autonomous cars to drive safely on the road it is time to start asking how they should be driving a common answer is that they should be adopting their users driving style this makes the assumption that users want their autonomous cars to drive like they drive aggressive drivers want aggressive cars defensive drivers want defensive cars in this paper we put that assumption to the test we find that users tend to prefer a significantly more defensive driving style than their own interestingly they prefer the style they think is their own even though their actual driving style tends to be more aggressive we also find that preferences do depend on the specific driving scenario opening the door for new ways of learning driving style preference
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1,802.01637
On residue maps for affine curves
We establish several compatibility results between residue maps in \'etale and Galois cohomology that arise naturally in the analysis of smooth affine algebraic curves having good reduction over discretely valued fields. These results are needed, and in fact have already been used, for the study of finiteness properties of the unramified cohomology of function fields of affine curves over number fields.
math.NT math.AG
we establish several compatibility results between residue maps in etale and galois cohomology that arise naturally in the analysis of smooth affine algebraic curves having good reduction over discretely valued fields these results are needed and in fact have already been used for the study of finiteness properties of the unramified cohomology of function fields of affine curves over number fields
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1,802.01638
Quantum many-body dynamics of the Einstein-de Haas effect
In 1915, Einstein and de Haas and Barnett demonstrated that changing the magnetization of a magnetic material results in mechanical rotation, and vice versa. At the microscopic level, this effect governs the transfer between electron spin and orbital angular momentum, and lattice degrees of freedom, understanding which is key for molecular magnets, nano-magneto-mechanics, spintronics, and ultrafast magnetism. Until now, the timescales of electron-to-lattice angular momentum transfer remain unclear, since modeling this process on a microscopic level requires addition of an infinite amount of quantum angular momenta. We show that this problem can be solved by reformulating it in terms of the recently discovered angulon quasiparticles, which results in a rotationally invariant quantum many-body theory. In particular, we demonstrate that non-perturbative effects take place even if the electron--phonon coupling is weak and give rise to angular momentum transfer on femtosecond timescales.
cond-mat.mes-hall cond-mat.str-el
in 1915 einstein and de haas and barnett demonstrated that changing the magnetization of a magnetic material results in mechanical rotation and vice versa at the microscopic level this effect governs the transfer between electron spin and orbital angular momentum and lattice degrees of freedom understanding which is key for molecular magnets nanomagnetomechanics spintronics and ultrafast magnetism until now the timescales of electrontolattice angular momentum transfer remain unclear since modeling this process on a microscopic level requires addition of an infinite amount of quantum angular momenta we show that this problem can be solved by reformulating it in terms of the recently discovered angulon quasiparticles which results in a rotationally invariant quantum manybody theory in particular we demonstrate that nonperturbative effects take place even if the electronphonon coupling is weak and give rise to angular momentum transfer on femtosecond timescales
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1,802.01639
A Data as a Service (DaaS) Model for GPU-based Data Analytics
Cloud-based services with resources to be provisioned for consumers are increasingly the norm, especially with respect to Big data, spatiotemporal data mining and application services that impose a user's agreed Quality of Service (QoS) rules or Service Level Agreement (SLA). Considering the pervasive nature of data centers and cloud system, there is a need for a real-time analytics of the systems considering cost, utility and energy. This work presents an overlay model of GPU system for Data As A Service (DaaS) to give a real-time data analysis of network data, customers, investors and users' data from the datacenters or cloud system. Using a modeled layer to define a learning protocol and system, we give a custom, profitable system for DaaS on GPU. The GPU-enabled pre-processing and initial operations of the clustering model analysis is promising as shown in the results. We examine the model on real-world data sets to model a big data set or spatiotemporal data mining services. We also produce results of our model with clustering, neural networks' Self-organizing feature maps (SOFM or SOM) to produce a distribution of the clustering for DaaS model. The experimental results thus far show a promising model that could enhance SLA and or QoS based DaaS.
cs.DC
cloudbased services with resources to be provisioned for consumers are increasingly the norm especially with respect to big data spatiotemporal data mining and application services that impose a users agreed quality of service qos rules or service level agreement sla considering the pervasive nature of data centers and cloud system there is a need for a realtime analytics of the systems considering cost utility and energy this work presents an overlay model of gpu system for data as a service daas to give a realtime data analysis of network data customers investors and users data from the datacenters or cloud system using a modeled layer to define a learning protocol and system we give a custom profitable system for daas on gpu the gpuenabled preprocessing and initial operations of the clustering model analysis is promising as shown in the results we examine the model on realworld data sets to model a big data set or spatiotemporal data mining services we also produce results of our model with clustering neural networks selforganizing feature maps sofm or som to produce a distribution of the clustering for daas model the experimental results thus far show a promising model that could enhance sla and or qos based daas
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1,802.0164
Mitigating Spreadsheet Risk in Complex Multi-Dimensional Models in Excel
Microsoft Excel is the most ubiquitous analytical tool ever built. Companies around the world leverage it for its power, flexibility and ease of use. However, spreadsheets are manually intensive and prone to error, making it difficult for companies to control spreadsheet risk. The following solution is designed to mitigate spreadsheet risk for a set of problems commonly addressed in a spreadsheet defined as "complex multi-dimensional models". "Complex" referring to certain types of applications that require functionality such as sophisticated algorithms, challenging hierarchies and database write-back (i.e. planning, forecasting, etc.) and "multi-dimensional" referring to providing capabilities such as reporting, data input forms and ad hoc analysis on the different attributes associated with the resulting model. The solution is defined as a "PivotModel" because it works similarly to a PivotTable but is designed to leverage the robust capabilities of the Microsoft Excel platform.
cs.SE
microsoft excel is the most ubiquitous analytical tool ever built companies around the world leverage it for its power flexibility and ease of use however spreadsheets are manually intensive and prone to error making it difficult for companies to control spreadsheet risk the following solution is designed to mitigate spreadsheet risk for a set of problems commonly addressed in a spreadsheet defined as complex multidimensional models complex referring to certain types of applications that require functionality such as sophisticated algorithms challenging hierarchies and database writeback ie planning forecasting etc and multidimensional referring to providing capabilities such as reporting data input forms and ad hoc analysis on the different attributes associated with the resulting model the solution is defined as a pivotmodel because it works similarly to a pivottable but is designed to leverage the robust capabilities of the microsoft excel platform
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1,802.01641
Volatility options in rough volatility models
We discuss the pricing and hedging of volatility options in some rough volatility models. First, we develop efficient Monte Carlo methods and asymptotic approximations for computing option prices and hedge ratios in models where log-volatility follows a Gaussian Volterra process. While providing a good fit for European options, these models are unable to reproduce the VIX option smile observed in the market, and are thus not suitable for VIX products. To accommodate these, we introduce the class of modulated Volterra processes, and show that they successfully capture the VIX smile.
q-fin.PR math.PR
we discuss the pricing and hedging of volatility options in some rough volatility models first we develop efficient monte carlo methods and asymptotic approximations for computing option prices and hedge ratios in models where logvolatility follows a gaussian volterra process while providing a good fit for european options these models are unable to reproduce the vix option smile observed in the market and are thus not suitable for vix products to accommodate these we introduce the class of modulated volterra processes and show that they successfully capture the vix smile
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1,802.01642
Modal Noise Mitigation through Fiber Agitation for Fiber-fed Radial Velocity Spectrographs
Optical fiber modal noise is a limiting factor for high precision spectroscopy signal-to-noise in the near-infrared and visible. Unabated, especially when using highly coherent light sources for wavelength calibration, modal noise can induce radial velocity (RV) errors that hinder the discovery of low-mass (and potentially Earth-like) planets. Previous research in this field has found sufficient modal noise mitigation through the use of an integrating sphere, but this requires extremely bright light sources, a luxury not necessarily afforded by the next generation of high-resolution optical spectrographs. Otherwise, mechanical agitation, which "mixes" the fiber's modal patterns and allows the noise to be averaged over minutes-long exposures, provides some noise reduction but the exact mechanism behind improvement in signal-to-noise and RV drift has not been fully explored or optimized by the community. Therefore, we have filled out the parameter space of modal noise agitation techniques in order to better understand agitation's contribution to mitigating modal noise and to discover a better method for agitating fibers. We find that modal noise is best suppressed by the quasi-chaotic motion of two high-amplitude agitators oscillating with varying phase for fibers with large core diameters and low azimuthal symmetry. This work has subsequently influenced the design of a fiber agitator, to be installed with the EXtreme PREcision Spectrograph, that we estimate will reduce modal-noise-induced RV error to less than 3.2 cm/s.
astro-ph.IM physics.ins-det
optical fiber modal noise is a limiting factor for high precision spectroscopy signaltonoise in the nearinfrared and visible unabated especially when using highly coherent light sources for wavelength calibration modal noise can induce radial velocity rv errors that hinder the discovery of lowmass and potentially earthlike planets previous research in this field has found sufficient modal noise mitigation through the use of an integrating sphere but this requires extremely bright light sources a luxury not necessarily afforded by the next generation of highresolution optical spectrographs otherwise mechanical agitation which mixes the fibers modal patterns and allows the noise to be averaged over minuteslong exposures provides some noise reduction but the exact mechanism behind improvement in signaltonoise and rv drift has not been fully explored or optimized by the community therefore we have filled out the parameter space of modal noise agitation techniques in order to better understand agitations contribution to mitigating modal noise and to discover a better method for agitating fibers we find that modal noise is best suppressed by the quasichaotic motion of two highamplitude agitators oscillating with varying phase for fibers with large core diameters and low azimuthal symmetry this work has subsequently influenced the design of a fiber agitator to be installed with the extreme precision spectrograph that we estimate will reduce modalnoiseinduced rv error to less than 32 cms
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1,802.01643
$C^{1,\alpha}$ regularity for fully nonlinear elliptic equations with superlinear growth in the gradient
We extend the Caffarelli-\'Swiech-Winter $C^{1,\alpha}$ regularity estimates to $L^p$-viscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form with superlinear growth in the gradient and unbounded coefficients. As an application, in addition to the usual $W^{2,p}$ results, we prove the existence of positive eigenvalues for proper operators with nonnegative unbounded weight, in particular for Pucci's operators with unbounded coefficients.
math.AP
we extend the caffarelliswiechwinter c1alpha regularity estimates to lpviscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form with superlinear growth in the gradient and unbounded coefficients as an application in addition to the usual w2p results we prove the existence of positive eigenvalues for proper operators with nonnegative unbounded weight in particular for puccis operators with unbounded coefficients
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1,802.01644
Nonlinear effects for three-terminal heat engine and refrigerator
The three-terminal heat device consisting of a cavity and coupled to a heat bath is established. By tuning the temperatures of the electrodes and the phonon bath, the device can function as a heat engine or a refrigerator. We study the characteristic performance in the linear and nonlinear regime for both setups. It is our focus here to analyze how the efficiency of the heat engine and coefficient of performance of the refrigerator are affected by the nonlinear transport. With such considerations, the maximum efficiency and power are then optimized for various energy levels, temperatures and other parameters.
cond-mat.mes-hall cond-mat.stat-mech physics.app-ph
the threeterminal heat device consisting of a cavity and coupled to a heat bath is established by tuning the temperatures of the electrodes and the phonon bath the device can function as a heat engine or a refrigerator we study the characteristic performance in the linear and nonlinear regime for both setups it is our focus here to analyze how the efficiency of the heat engine and coefficient of performance of the refrigerator are affected by the nonlinear transport with such considerations the maximum efficiency and power are then optimized for various energy levels temperatures and other parameters
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1,802.01645
Semi-Transparent Solar Cell enabled by Frequency Selective Light Trapping
We propose a frequency selective light trapping scheme that enables the creation of more visually-transparent and yet simultaneously more efficient semitransparent solar cells. A nanoparticle scattering layer and photonic stack back reflector create a selective trapping effect by total internal reflection within a medium, increasing absorption of IR light. We propose a strong frequency selective scattering layer using spherical TiO2 nanoparticles with radius of 255 nm and area density of 1.1% in a medium with index of refraction of 1.5. Using detailed numerical simulations for this configuration, we find that it is possible to create a semitransparent silicon solar cell that has a Shockley Queisser efficiency of 12.0%\pm0.4% with a visible transparency of 60.2%\pm1.3%, 13.3%\pm1.3 more visibly-transparent than a bare silicon cell at the same efficiency.
physics.app-ph physics.optics
we propose a frequency selective light trapping scheme that enables the creation of more visuallytransparent and yet simultaneously more efficient semitransparent solar cells a nanoparticle scattering layer and photonic stack back reflector create a selective trapping effect by total internal reflection within a medium increasing absorption of ir light we propose a strong frequency selective scattering layer using spherical tio2 nanoparticles with radius of 255 nm and area density of 11 in a medium with index of refraction of 15 using detailed numerical simulations for this configuration we find that it is possible to create a semitransparent silicon solar cell that has a shockley queisser efficiency of 120pm04 with a visible transparency of 602pm13 133pm13 more visiblytransparent than a bare silicon cell at the same efficiency
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1,802.01646
Anagram-Free Chromatic Number is not Pathwidth-Bounded
The anagram-free chromatic number is a new graph parameter introduced independently Kam\v{c}ev, {\L}uczak, and Sudakov (2017) and Wilson and Wood (2017). In this note, we show that there are planar graphs of pathwidth 3 with arbitrarily large anagram-free chromatic number. More specifically, we describe $2n$-vertex planar graphs of pathwidth 3 with anagram-free chromatic number $\Omega(\log n)$. We also describe $kn$ vertex graphs with pathwidth $2k-1$ having anagram-free chromatic number in $\Omega(k\log n)$.
math.CO
the anagramfree chromatic number is a new graph parameter introduced independently kamvcev luczak and sudakov 2017 and wilson and wood 2017 in this note we show that there are planar graphs of pathwidth 3 with arbitrarily large anagramfree chromatic number more specifically we describe 2nvertex planar graphs of pathwidth 3 with anagramfree chromatic number omegalog n we also describe kn vertex graphs with pathwidth 2k1 having anagramfree chromatic number in omegaklog n
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1,802.01647
Strain-mediated spin-orbit torque switching for magnetic memory
Spin-orbit torque (SOT) represents an energy efficient method to control magnetization in magnetic memory devices. However, deterministically switching perpendicular memory bits usually requires the application of an additional bias field for breaking lateral symmetry. Here we present a new approach of field-free deterministic perpendicular switching using a strain-mediated SOT switching method. The strain-induced magnetoelastic anisotropy breaks the lateral symmetry, and the resulting symmetry-breaking is controllable. A finite element model and a macrospin model are used to numerically simulate the strain-mediated SOT switching mechanism. The results show that a relatively small voltage (${\pm}0.5$ V) along with a modest current ($3.5 \times 10^{7} A/cm^{2}$) can produce a 180{\deg} perpendicular magnetization reversal. The switching direction (up or down) is dictated by the voltage polarity (positive or negative) applied to the piezoelectric layer in the magnetoelastic/heavy metal/piezoelectric heterostructure. The switching speed can be as fast as 10 GHz. More importantly, this control mechanism can be potentially implemented in a magnetic random-access memory system with small footprint, high endurance and high tunnel magnetoresistance (TMR) readout ratio.
physics.app-ph cond-mat.mes-hall
spinorbit torque sot represents an energy efficient method to control magnetization in magnetic memory devices however deterministically switching perpendicular memory bits usually requires the application of an additional bias field for breaking lateral symmetry here we present a new approach of fieldfree deterministic perpendicular switching using a strainmediated sot switching method the straininduced magnetoelastic anisotropy breaks the lateral symmetry and the resulting symmetrybreaking is controllable a finite element model and a macrospin model are used to numerically simulate the strainmediated sot switching mechanism the results show that a relatively small voltage pm05 v along with a modest current 35 times 107 acm2 can produce a 180deg perpendicular magnetization reversal the switching direction up or down is dictated by the voltage polarity positive or negative applied to the piezoelectric layer in the magnetoelasticheavy metalpiezoelectric heterostructure the switching speed can be as fast as 10 ghz more importantly this control mechanism can be potentially implemented in a magnetic randomaccess memory system with small footprint high endurance and high tunnel magnetoresistance tmr readout ratio
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1,802.01648
Surface Tension Prediction for Liquid Mixtures
Recently Escobedo and Mansoori (AIChE J. 42(5): 1425, 1996) proposed a new expression, originally derived from statistical mechanics, for the surface tension prediction of pure fluids. In this report, the same theory is extended to the case of mixtures of organic liquids. Using the proposed equation surface tensions of 55 binary mixtures are predicted within an overall 0.50 AAD% which is better than the other available prediction methods. Using a corresponding states expression the surface tension of all the 55 binary mixtures are predicted within an overall 2.10 AAD%. The proposed model is also applicable to multicomponent liquid mixtures.
physics.chem-ph cond-mat.soft physics.flu-dyn
recently escobedo and mansoori aiche j 425 1425 1996 proposed a new expression originally derived from statistical mechanics for the surface tension prediction of pure fluids in this report the same theory is extended to the case of mixtures of organic liquids using the proposed equation surface tensions of 55 binary mixtures are predicted within an overall 050 aad which is better than the other available prediction methods using a corresponding states expression the surface tension of all the 55 binary mixtures are predicted within an overall 210 aad the proposed model is also applicable to multicomponent liquid mixtures
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1,802.01649
Real-Time Rejection and Mitigation of Time Synchronization Attacks on the Global Positioning System
This paper introduces the Time Synchronization Attack Rejection and Mitigation (TSARM) technique for Time Synchronization Attacks (TSAs) over the Global Positioning System (GPS). The technique estimates the clock bias and drift of the GPS receiver along with the possible attack contrary to previous approaches. Having estimated the time instants of the attack, the clock bias and drift of the receiver are corrected. The proposed technique is computationally efficient and can be easily implemented in real time, in a fashion complementary to standard algorithms for position, velocity, and time estimation in off-the-shelf receivers. The performance of this technique is evaluated on a set of collected data from a real GPS receiver. Our method renders excellent time recovery consistent with the application requirements. The numerical results demonstrate that the TSARM technique outperforms competing approaches in the literature.
cs.SY cs.CR eess.SP math.OC
this paper introduces the time synchronization attack rejection and mitigation tsarm technique for time synchronization attacks tsas over the global positioning system gps the technique estimates the clock bias and drift of the gps receiver along with the possible attack contrary to previous approaches having estimated the time instants of the attack the clock bias and drift of the receiver are corrected the proposed technique is computationally efficient and can be easily implemented in real time in a fashion complementary to standard algorithms for position velocity and time estimation in offtheshelf receivers the performance of this technique is evaluated on a set of collected data from a real gps receiver our method renders excellent time recovery consistent with the application requirements the numerical results demonstrate that the tsarm technique outperforms competing approaches in the literature
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1,802.0165
Centimeter-scale superfine three-dimensional printing with femtosecond laser two-photon polymerization
Nowadays three-dimensional (3D) printing has been widely used for producing geometrically complex 3D structures from a broad range of materials such as ceramics, metals, polymers, semiconductors, etc. Although it has been demonstrated that a fabrication resolution as high as ~100 nm can be achieved in 3D printing based on two photon polymerization (TPP), the end product size of TPP is typically on millimeter scale limited by the short working distance of high-numerical-aperture focal lens. Here we present a method based on simultaneous spatiotemporal focusing (SSTF) of the femtosecond laser pulses that enables to fabricate centimeter-scale 3D structures of fine features with TPP. We also demonstrate an isotropic spatial resolution which can be continuously tuned in the range of ~10 um and ~40 um by only varying the power of femtosecond laser, making this technique extremely flexible and easy to implement. We fabricate several Chinese guardian lions of a maximum height of 0.6 cm and a Terra Cotta Warrior of a height of 1.3 cm using this method.
physics.app-ph physics.optics
nowadays threedimensional 3d printing has been widely used for producing geometrically complex 3d structures from a broad range of materials such as ceramics metals polymers semiconductors etc although it has been demonstrated that a fabrication resolution as high as 100 nm can be achieved in 3d printing based on two photon polymerization tpp the end product size of tpp is typically on millimeter scale limited by the short working distance of highnumericalaperture focal lens here we present a method based on simultaneous spatiotemporal focusing sstf of the femtosecond laser pulses that enables to fabricate centimeterscale 3d structures of fine features with tpp we also demonstrate an isotropic spatial resolution which can be continuously tuned in the range of 10 um and 40 um by only varying the power of femtosecond laser making this technique extremely flexible and easy to implement we fabricate several chinese guardian lions of a maximum height of 06 cm and a terra cotta warrior of a height of 13 cm using this method
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1,802.01651
High sensitivity refractive index sensor based on the semicircular bent fiber
A refractive index sensor based on a semicircular bent fiber is presented. The interference occurs between the cladding mode excited in the bending region and the core mode. Both the theoretical and experimental results show that the resonant dip wavelength decreases linearly with the increase of the refractive index of the surrounding environment. A high sensitivity of 1031 nm per refractive index unit is obtained over the refractive index range of 1.3324 to 1.3435 by using a bent fiber with a bending radius of 500 {\mu}m.
physics.app-ph
a refractive index sensor based on a semicircular bent fiber is presented the interference occurs between the cladding mode excited in the bending region and the core mode both the theoretical and experimental results show that the resonant dip wavelength decreases linearly with the increase of the refractive index of the surrounding environment a high sensitivity of 1031 nm per refractive index unit is obtained over the refractive index range of 13324 to 13435 by using a bent fiber with a bending radius of 500 mum
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1,802.01652
Revisiting the charging-capacitor problem
The charging capacitor is used as a standard paradigm for illustrating the concept of the Maxwell "displacement current". A certain aspect of the problem, however, is often overlooked. It concerns the conditions for satisfaction of the Faraday-Henry law both in the interior and in the exterior of the capacitor. In this article the situation is analyzed and a recursive process is described for obtaining (at least approximate) solutions of Maxwell's equations inside and outside the capacitor.
physics.class-ph
the charging capacitor is used as a standard paradigm for illustrating the concept of the maxwell displacement current a certain aspect of the problem however is often overlooked it concerns the conditions for satisfaction of the faradayhenry law both in the interior and in the exterior of the capacitor in this article the situation is analyzed and a recursive process is described for obtaining at least approximate solutions of maxwells equations inside and outside the capacitor
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1,802.01653
Levy walk with multiple internal states
Levy walk is a fundamental model with applications ranging from quantum physics to paths of animal foraging. Taking animal foraging as an example, a natural idea that comes to one's mind is to introduce the multiple internal states for dealing with the dependence of the PDF of waiting time on the energy of the animal and richness of the food at a particular location, etc; the framework can also be used to model the moving trajectories of smart animals without returning to the directions or locations which they come from immediately. After building the Levy walk model with multiple internal states and deriving the governing equation of the distribution of the positions of the particles, some applications are discussed with specific transition matrices. The type of diffusion for non-immediately-repeating L\'{e}vy walk is uncovered, and the distribution and average of first passage time are numerically simulated.
cond-mat.stat-mech
levy walk is a fundamental model with applications ranging from quantum physics to paths of animal foraging taking animal foraging as an example a natural idea that comes to ones mind is to introduce the multiple internal states for dealing with the dependence of the pdf of waiting time on the energy of the animal and richness of the food at a particular location etc the framework can also be used to model the moving trajectories of smart animals without returning to the directions or locations which they come from immediately after building the levy walk model with multiple internal states and deriving the governing equation of the distribution of the positions of the particles some applications are discussed with specific transition matrices the type of diffusion for nonimmediatelyrepeating levy walk is uncovered and the distribution and average of first passage time are numerically simulated
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1,802.01654
Quantum mechanical analysis of nonlinear optical response of interacting graphene nanoflakes
We propose a distant-neighbor quantum-mechanical (DNQM) approach to study the linear and nonlinear optical properties of graphene nanoflakes (GNFs). In contrast to the widely used tight-binding description of the electronic states that considers only the nearest-neighbor coupling between the atoms, our approach is more accurate and general, as it captures the electron-core interactions between all atoms in the structure. Therefore, as we demonstrate, the DNQM approach enables the investigation of the optical coupling between two closely separated, but chemically unbound GNFs. We also find that the optical response of GNFs depends crucially on their shape, size, and symmetry properties. Specifically, increasing the size of nanoflakes is found to shift their accommodated quantum plasmon oscillations to lower frequency. Importantly, we show that by embedding a cavity into GNFs, one can change their symmetry properties, tune their optical properties, or enable otherwise forbidden second-harmonic generation processes.
cond-mat.mes-hall physics.optics
we propose a distantneighbor quantummechanical dnqm approach to study the linear and nonlinear optical properties of graphene nanoflakes gnfs in contrast to the widely used tightbinding description of the electronic states that considers only the nearestneighbor coupling between the atoms our approach is more accurate and general as it captures the electroncore interactions between all atoms in the structure therefore as we demonstrate the dnqm approach enables the investigation of the optical coupling between two closely separated but chemically unbound gnfs we also find that the optical response of gnfs depends crucially on their shape size and symmetry properties specifically increasing the size of nanoflakes is found to shift their accommodated quantum plasmon oscillations to lower frequency importantly we show that by embedding a cavity into gnfs one can change their symmetry properties tune their optical properties or enable otherwise forbidden secondharmonic generation processes
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1,802.01655
3D Printing of Flexible Room-Temperature Liquid Metal Battery
The entirely soft and transformable room-temperature liquid metal battery based on 3D hybrid printing was proposed and experimentally demonstrated. Liquid metal gallium and conductive gel were employed as the negative and positive electrode material, respectively. The discharge process of batteries with different structure, single-cell and multi-cell, were clarified. The results indicated that the obtained battery possessed rather stable and persisted discharge property, but the multi-cell battery presented stair-step decrease overtime. SEM and EDS images were obtained to evaluate the morphological change of the electrode during the discharge process, and the liquid metal was found to be easily exposed and active according to the solubility of the alkaline electrolyte to oxidized gallium. The successful 3D hybrid printing allowed different polymers, including PLA, ABS and TPU, to be precisely patterned in any required battery body structures, with liquid electrodes in appropriate specified positions. The flexibility and practicability of this new generation battery was illustrated through working devices. The present soft battery offers important power supply for future wearable and epidermal electronics.
physics.app-ph physics.chem-ph
the entirely soft and transformable roomtemperature liquid metal battery based on 3d hybrid printing was proposed and experimentally demonstrated liquid metal gallium and conductive gel were employed as the negative and positive electrode material respectively the discharge process of batteries with different structure singlecell and multicell were clarified the results indicated that the obtained battery possessed rather stable and persisted discharge property but the multicell battery presented stairstep decrease overtime sem and eds images were obtained to evaluate the morphological change of the electrode during the discharge process and the liquid metal was found to be easily exposed and active according to the solubility of the alkaline electrolyte to oxidized gallium the successful 3d hybrid printing allowed different polymers including pla abs and tpu to be precisely patterned in any required battery body structures with liquid electrodes in appropriate specified positions the flexibility and practicability of this new generation battery was illustrated through working devices the present soft battery offers important power supply for future wearable and epidermal electronics
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1,802.01656
Innovative thermo-solar air heater
In the present work we elaborate the innovative design of the solar air heater and justify it by a Computational Fluid Dynamics (CFD) simulation, implementing and experimentally testing a sample. We propose to use this device for maintenance of constant ambient conditions for thermal comfort and low energy consumption for indoor environments, inside greenhouses, passive houses, and to protect buildings against temperature fluctuations. We tested the functionality of our sample of the solar air heater for 50 weeks and obtained an agreement between the results of the numerical simulation, implemented using OpenFOAM (an open source numerical CFD software) and the experimental results.
physics.app-ph
in the present work we elaborate the innovative design of the solar air heater and justify it by a computational fluid dynamics cfd simulation implementing and experimentally testing a sample we propose to use this device for maintenance of constant ambient conditions for thermal comfort and low energy consumption for indoor environments inside greenhouses passive houses and to protect buildings against temperature fluctuations we tested the functionality of our sample of the solar air heater for 50 weeks and obtained an agreement between the results of the numerical simulation implemented using openfoam an open source numerical cfd software and the experimental results
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1,802.01657
Hybrid Nanophotonics
Advances in the field of plasmonics, that is, nanophotonics based on optical properties of metal nanostructures, paved the way for the development of ultrasensitive biological sensors and other devices whose operating principles are based on localization of an electromagnetic field at the nanometer scale. However, high dissipative losses of metal nanostructures limit their performance in many modern areas, including metasurfaces, metamaterials, and optical interconnections, which required the development of new devices that combine them with high refractive index dielectric nanoparticles. Resulting metal-dielectric (hybrid) nanostructures demonstrated many superior properties from the point of view of practical application, including moderate dissipative losses, resonant optical magnetic response, strong nonlinear optical properties, which made the development in this field the vanguard of the modern light science. This review is devoted to the current state of theoretical and experimental studies of hybrid metal-dielectric nanoantennas and nanostructures based on them, capable of selective scattering light waves, amplifying and transmitting optical signals in the desired direction, controlling the propagation of such signals, and generating optical harmonics.
physics.app-ph physics.optics
advances in the field of plasmonics that is nanophotonics based on optical properties of metal nanostructures paved the way for the development of ultrasensitive biological sensors and other devices whose operating principles are based on localization of an electromagnetic field at the nanometer scale however high dissipative losses of metal nanostructures limit their performance in many modern areas including metasurfaces metamaterials and optical interconnections which required the development of new devices that combine them with high refractive index dielectric nanoparticles resulting metaldielectric hybrid nanostructures demonstrated many superior properties from the point of view of practical application including moderate dissipative losses resonant optical magnetic response strong nonlinear optical properties which made the development in this field the vanguard of the modern light science this review is devoted to the current state of theoretical and experimental studies of hybrid metaldielectric nanoantennas and nanostructures based on them capable of selective scattering light waves amplifying and transmitting optical signals in the desired direction controlling the propagation of such signals and generating optical harmonics
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1,802.01658
Almost Hyperbolic Groups with Almost Finitely Presented Subgroups
We construct new examples of CAT(0) groups containing non finitely presented subgroups that are of type $FP_2$, these CAT(0) groups do not contain copies of $\mathbb{Z}^3$. We also give a construction of groups which are of type $F_n$ but not $F_{n+1}$ with no free abelian subgroups of rank greater than $\lceil\frac{n}{3}\rceil$.
math.GR
we construct new examples of cat0 groups containing non finitely presented subgroups that are of type fp_2 these cat0 groups do not contain copies of mathbbz3 we also give a construction of groups which are of type f_n but not f_n1 with no free abelian subgroups of rank greater than lceilfracn3rceil
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1,802.01659
Transmutation of Minor Actinides and Power Flattening in PWR MOX Fuel
In order to transmute long-lived MAs and flatten power distribution in a PWR MOX fuel assembly, the authors have proposed to replace some high power fuel rods by MAs loaded fuel rods. The present work proves the high efficiency of long-lived MAs transmutation in a PWR MOX assembly with 92 fuel rods with 3% MAs loaded. The power and the burnup distribution have been flatted by using the MAs loading method proposed by authors. The 237Np loading method is expected for the transmutation by comparing with natural decay time to achieve the same reduction. The mixed MAs loading has better behaviors on power flattening and negative contribution of reactivity. In addition, the mixed MAs loading can largely reduce the quantity of 241Am, while the addition of other MAs has no influence on the transmutation efficiency of 237Np.
physics.app-ph nucl-th
in order to transmute longlived mas and flatten power distribution in a pwr mox fuel assembly the authors have proposed to replace some high power fuel rods by mas loaded fuel rods the present work proves the high efficiency of longlived mas transmutation in a pwr mox assembly with 92 fuel rods with 3 mas loaded the power and the burnup distribution have been flatted by using the mas loading method proposed by authors the 237np loading method is expected for the transmutation by comparing with natural decay time to achieve the same reduction the mixed mas loading has better behaviors on power flattening and negative contribution of reactivity in addition the mixed mas loading can largely reduce the quantity of 241am while the addition of other mas has no influence on the transmutation efficiency of 237np
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