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arXiv 2017年

作者： Bao, Yuanxun Rachh, Manas Keaveny, Eric E. Greengard, Leslie Donev, Aleksandar Courant Institute of Mathematical Sciences New York University 251 Mercer Street New YorkNY United States Applied Mathematics Program Yale University New HavenCT06511 United States Department of Mathematics Imperial College London LondonSW7 2AZ United Kingdom Center for Computational Biology Flatiron Institute New YorkNY United States

We present a fluctuating boundary integral method (FBIM) for overdamped Brownian Dynamics (BD) of two-dimensional periodic suspensions of rigid particles of complex shape immersed in a Stokes fluid. We develop a novel approach for generating Brownian displacements that arise in response to the thermal fluctuations in the fluid. Our approach relies on a first-kind boundary integral formulation of a mobility problem in which a random surface velocity is prescribed on the particle surface, with zero mean and covariance proportional to the Green’s function for Stokes flow (Stokeslet). This approach yields an algorithm that scales linearly in the number of particles for both deterministic and stochastic dynamics, handles particles of complex shape, achieves high order of accuracy, and can be generalized to three dimensions and other boundary conditions. We show that Brownian displacements generated by our method obey the discrete fluctuation-dissipation balance relation (DFDB). Based on a recently-developed Positively Split Ewald method [A. M. Fiore, F. Balboa Usabiaga, A. Donev and J. W. Swan, J. Chem. Phys., 146, 124116, 2017], near-field contributions to the Brownian displacements are efficiently approximated by iterative methods in real space, while far-field contributions are rapidly generated by fast Fourier-space methods based on fluctuating hydrodynamics. FBIM provides the key ingredient for time integration of the overdamped Langevin equations for Brownian suspensions of rigid particles. We demonstrate that FBIM obeys DFDB by performing equilibrium BD simulations of suspensions of starfish-shaped bodies using a random finite difference temporal integrator. Copyright © 2017, The Authors. All rights reserved.

关键词： Boundary integral equations

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Author Correction: Universal DNA methylation age across mammalian tissues

Nature aging

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Nature aging 2023年第11期3卷 1462页

作者： A T Lu Z Fei A Haghani T R Robeck J A Zoller C Z Li R Lowe Q Yan J Zhang H Vu J Ablaeva V A Acosta-Rodriguez D M Adams J Almunia A Aloysius R Ardehali A Arneson C S Baker G Banks K Belov N C Bennett P Black D T Blumstein E K Bors C E Breeze R T Brooke J L Brown G G Carter A Caulton J M Cavin L Chakrabarti I Chatzistamou H Chen K Cheng P Chiavellini O W Choi S M Clarke L N Cooper M L Cossette J Day J DeYoung S DiRocco C Dold E E Ehmke C K Emmons S Emmrich E Erbay C Erlacher-Reid C G Faulkes S H Ferguson C J Finno J E Flower J M Gaillard E Garde L Gerber V N Gladyshev V Gorbunova R G Goya M J Grant C B Green E N Hales M B Hanson D W Hart M Haulena K Herrick A N Hogan C J Hogg T A Hore T Huang J C Izpisua Belmonte A J Jasinska G Jones E Jourdain O Kashpur H Katcher E Katsumata V Kaza H Kiaris M S Kobor P Kordowitzki W R Koski M Krützen S B Kwon B Larison S G Lee M Lehmann J F Lemaitre A J Levine C Li X Li A R Lim D T S Lin D M Lindemann T J Little N Macoretta D Maddox C O Matkin J A Mattison M McClure J Mergl J J Meudt G A Montano K Mozhui J Munshi-South A Naderi M Nagy P Narayan P W Nathanielsz N B Nguyen C Niehrs J K O'Brien P O'Tierney Ginn D T Odom A G Ophir S Osborn E A Ostrander K M Parsons K C Paul M Pellegrini K J Peters A B Pedersen J L Petersen D W Pietersen G M Pinho J Plassais J R Poganik N A Prado P Reddy B Rey B R Ritz J Robbins M Rodriguez J Russell E Rydkina L L Sailer A B Salmon A Sanghavi K M Schachtschneider D Schmitt T Schmitt L Schomacher L B Schook K E Sears A W Seifert A Seluanov A B A Shafer D Shanmuganayagam A V Shindyapina M Simmons K Singh I Sinha J Slone R G Snell E Soltanmaohammadi M L Spangler M C Spriggs L Staggs N Stedman K J Steinman D T Stewart V J Sugrue B Szladovits J S Takahashi M Takasugi E C Teeling M J Thompson B Van Bonn S C Vernes D Villar H V Vinters M C Wallingford N Wang R K Wayne G S Wilkinson C K Williams R W Williams X W Yang M Yao B G Young B Zhang Z Zhang P Zhao Y Zhao W Zhou J Zimmermann J Ernst K Raj S Horvath Department of Human Genetics David Geffen School of Medicine University of California Los Angeles Los Angeles CA USA. Altos Labs San Diego Institute of Science San Diego CA USA. Department of Biostatistics Fielding School of Public Health University of California Los Angeles Los Angeles CA USA. Department of Statistics University of California Riverside Riverside CA USA. Zoological SeaWorld Parks and Entertainment Orlando FL USA. Altos Labs Cambridge Institute of Science Cambridge UK. Bioinformatics Interdepartmental Program University of California Los Angeles CA USA. Department of Biological Chemistry University of California Los Angeles Los Angeles CA USA. Department of Biology University of Rochester Rochester NY USA. Department of Neuroscience Peter O'Donnell Jr. Brain Institute University of Texas Southwestern Medical Center Dallas TX USA. Department of Biology University of Maryland College Park MD USA. Loro Parque Fundacion Puerto de la Cruz Spain. Department of Biology University of Kentucky Lexington KY USA. Division of Cardiology Department of Internal Medicine David Geffen School of Medicine University of California Los Angeles Los Angeles CA USA. Marine Mammal Institute Oregon State University Newport OR USA. School of Science and Technology Clifton Campus Nottingham Trent University Nottingham UK. School of Life and Environmental Sciences the University of Sydney Sydney New South Wales Australia. Department of Zoology and Entomology University of Pretoria Hatfield South Africa. Busch Gardens Tampa Tampa FL USA. Department of Ecology and Evolutionary Biology University of California Los Angeles Los Angeles CA USA. Rocky Mountain Biological Laboratory Crested Butte CO USA. Altius Institute for Biomedical Sciences Seattle WA USA. Epigenetic Clock Development Foundation Los Angeles CA USA. Center for Species Survival Smithsonian Conservation Biology Institute Front Royal VA USA. Department of Evolution Eco

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Inverse design of disordered stealthy hyperuniform spin chains

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Physical Review B 2016年第6期93卷 064201-064201页

作者： Eli Chertkov Robert A. DiStasio, Jr. Ge Zhang Roberto Car Salvatore Torquato Department of Physics Princeton University Princeton New Jersey 08544 USA Department of Chemistry Princeton University Princeton New Jersey 08544 USA Department of Chemistry and Chemical Biology Cornell University Ithaca New York 14853 USA Princeton Institute for the Science and Technology of Materials Princeton University Princeton New Jersey 08544 USA Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA

Positioned between crystalline solids and liquids, disordered many-particle systems which are stealthy and hyperuniform represent new states of matter that are endowed with novel physical and thermodynamic properties. Such stealthy and hyperuniform states are unique in that they are transparent to radiation for a range of wave numbers around the origin. In this work, we employ recently developed inverse statistical-mechanical methods, which seek to obtain the optimal set of interactions that will spontaneously produce a targeted structure or configuration as a unique ground state, to investigate the spin-spin interaction potentials required to stabilize disordered stealthy hyperuniform one-dimensional (1D) Ising-type spin chains. By performing an exhaustive search over the spin configurations that can be enumerated on periodic 1D integer lattices containing N=2,3,...,36 sites, we were able to identify and structurally characterize all stealthy hyperuniform spin chains in this range of system sizes. Within this pool of stealthy hyperuniform spin configurations, we then utilized such inverse optimization techniques to demonstrate that stealthy hyperuniform spin chains can be realized as either unique or degenerate disordered ground states of radial long-ranged (relative to the spin-chain length) spin-spin interactions. Such exotic ground states appear to be distinctly different from spin glasses in both their inherent structural properties and the nature of the spin-spin interactions required to stabilize them. As such, the implications and significance of the existence of these disordered stealthy hyperuniform ground-state spin systems warrants further study, including whether their bulk physical properties and excited states, like their many-particle system counterparts, are singularly remarkable, and can be experimentally realized.

关键词： Optimization problems Ising model Spin chains

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Global comparison of core-collapse supernova simulations in spherical symmetry

arXiv

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arXiv 2018年

作者： O’Connor, Evan Bollig, Robert Burrows, Adam Couch, Sean Fischer, Tobias Janka, Hans-Thomas Kotake, Kei Lentz, Eric J. Liebendörfer, Matthias Messer, O.E. Bronson Mezzacappa, Anthony Takiwaki, Tomoya Vartanyan, David Department of Astronomy and Oskar Klein Centre Stockholm University AlbaNova StockholmSE-106 91 Sweden Max-Planck-Institut für Astrophysik Karl-Schwarzschild-Str. 1 Garching85748 Germany Physik Department Technische Universität München James-Franck-Straße 1 Garching85748 Germany Department of Astrophysical Sciences Princeton University PrincetonNJ08544 United States Department of Physics and Astronomy Michigan State University East LansingMI48824 United States Joint Institute for Nuclear Astrophysics-Center for the Evolution of the Elements Michigan State University East LansingMI48824 United States Department of Computational Mathematics Science and Engineering Michigan State University East LansingMI48824 United States National Superconducting Cyclotron Laboratory Michigan State University East LansingMI48824 United States Institute for Theoretical Physics University of Wroc law Wroc law50-204 Poland Department of Applied Physics Fukuoka University Nanakuma 8-19-1 Fukuoka814-0180 Japan Department of Physics and Astronomy University of Tennessee KnoxvilleTN37996-1200 United States Physics Division Oak Ridge National Laboratory P.O. Box 2008 Oak RidgeTN37831-6354 United States Department für Physik Universität Basel BaselCH-4056 Switzerland National Center for Computational Sciences Oak Ridge National Laboratory P.O. Box 2008 Oak RidgeTN37831-6164 United States Joint Institute for Computational Sciences Oak Ridge National Laboratory P.O. Box 2008 Oak RidgeTN37831-6354 United States National Astronomical Observatory of Japan Mitaka Tokyo181-8588 Japan

We present a comparison between several simulation codes designed to study the core-collapse supernova mechanism. We pay close attention to controlling the initial conditions and input physics in order to ensure a meaningful and informative comparison. Our goal is three-fold. First, we aim to demonstrate the current level of agreement between various groups studying the core-collapse supernova central engine. Second, we desire to form a strong basis for future simulation codes and methods to compare to. Lastly, we want this work to be a stepping stone for future work exploring more complex simulations of core-collapse supernovae, i.e., simulations in multiple dimensions and simulations with modern neutrino and nuclear physics. We compare the early (first ∼500 ms after core bounce) spherically-symmetric evolution of a 20M☉ progenitor star from six different core-collapse supernovae codes: 3DnSNe-IDSA, AGILE-BOLTZTRAN, FLASH, Fornax, GR1D, and PROMETHEUS-VERTEX. Given the diversity of neutrino transport and hydrodynamic methods employed, we find excellent agreement in many critical quantities, including the shock radius evolution and the amount of neutrino heating. Our results provide an excellent starting point from which to extend this comparison to higher dimensions and compare the development of hydrodynamic instabilities that are crucial to the supernova explosion mechanism, such as turbulence and convection. Copyright © 2018, The Authors. All rights reserved.

关键词： Hydrodynamics

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Astro2020 APC white paper project: The simons observatory

arXiv

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arXiv 2019年

作者： Abitbol, Maximilian H. Adachi, Shunsuke Ade, Peter Aguirre, James Ahmed, Zeeshan Aiola, Simone Ali, Aamir Alonso, David Alvarez, Marcelo A. Arnold, Kam Ashton, Peter Atkins, Zachary Austermann, Jason Awan, Humna Baccigalupi, Carlo Baildon, Taylor Lizancos, Anton Baleato Barron, Darcy Battaglia, Nick Battye, Richard Baxter, Eric Bazarko, Andrew Beall, James A. Bean, Rachel Beck, Dominic Beckman, Shawn Beringue, Benjamin Bhandarkar, Tanay Bhimani, Sanah Bianchini, Federico Boada, Steven Boettger, David Bolliet, Boris Richard Bond, J. Borrill, Julian Brown, Michael L. Bruno, Sarah Marie Bryan, Sean Calabrese, Erminia Calafut, Victoria Calisse, Paolo Carron, Julien Carl, Fred M. Cayuso, Juan Challinor, Anthony Chesmore, Grace Chinone, Yuji Chluba, Jens Cho, Hsiao-Mei Sherry Choi, Steve Clark, Susan Clarke, Philip Contaldi, Carlo Coppi, Gabriele Cothard, Nicholas F. Coughlin, Kevin Coulton, Will Crichton, Devin Crowley, Kevin D. Crowley, Kevin T. Cukierman, Ari D'Ewart, John M. Dünner, Rolando De Haan, Tijmen Devlin, Mark Dicker, Simon Dober, Bradley Duell, Cody J. Duff, Shannon Duivenvoorden, Adri Dunkley, Jo Bouhargani, Hamza El Errard, Josquin Fabbian, Giulio Feeney, Stephen Fergusson, James Ferraro, Simone Fluxà, Pedro Freese, Katherine Frisch, Josef C. Frolov, Andrei Fuller, George Galitzki, Nicholas Gallardo, Patricio A. Ghersi, Jose Tomas Galvez Gao, Jiansong Gawiser, Eric Gerbino, Martina Gluscevic, Vera Goeckner-Wald, Neil Golec, Joseph Gordon, Sam Gralla, Megan Green, Daniel Grigorian, Arpi Groh, John Groppi, Chris Guan, Yilun Gudmundsson, Jon E. Halpern, Mark Han, Dongwon Hargrave, Peter Harrington, Kathleen Hasegawa, Masaya Hasselfield, Matthew Hattori, Makoto Haynes, Victor Hazumi, Masashi Healy, Erin Henderson, Shawn W. Hensley, Brandon Hervias-Caimapo, Carlos Hill, Charles A. Colin Hill, J. Hilton, Gene Hilton, Matt Hincks, Adam D. Hinshaw, Gary Hložek, Renée Ho, Shirley Ho, Shuay-Pwu Patty Hoang, Thuong D. Hoh, Jonathan Hotinli, Selim C. Huang, Zhiqi Hubmayr, Johannes Huffenberger, Kevin Hughes, John P University of Oxford Denys Wilkinson Building Keble Road OxfordOX1 3RH United Kingdom Department of Physics Faculty of Science Kyoto University Kyoto606 Japan School of Physics and Astronomy Cardiff University The Parade CardiffCF24 3AA United Kingdom Department of Physics and Astronomy University of Pennsylvania 209 South 33rd Street PhiladelphiaPA19104 United States Kavli Institute for Particle Astrophysics and Cosmology Menlo ParkCA94025 United States SLAC National Accelerator Laboratory Menlo ParkCA94025 United States Center for Computational Astrophysics Flatiron Institute 162 5th Avenue New YorkNY10010 United States Department of Physics University of California BerkeleyCA94720 United States Computational Cosmology Center Lawrence Berkeley National Laboratory BerkeleyCA94720 United States Department of Physics University of California San Diego CA92093 United States Physics Division Lawrence Berkeley National Laboratory BerkeleyCA94720 United States University of Tokyo Kashiwa277- 8583 Japan Joseph Henry Laboratories of Physics Jadwin Hall Princeton University PrincetonNJ08544 United States NIST Quantum Sensors Group 325 Broadway Mailcode 687.08 BoulderCO80305 United States Department of Physics and Astronomy Rutgers State University of New Jersey PiscatawayNJ08854-8019 United States Via Bonomea 265 Trieste34136 Italy INFN Sezione di Trieste Padriciano 99 Trieste34149 Italy Department of Physics University of Michigan Ann Arbor48103 United States Kavli Institute for Cosmology Cambridge Madingley Road CambridgeCB3 0HA United Kingdom Institute of Astronomy Madingley Road CambridgeCB3 0HA United Kingdom Department of Physics and Astronomy University of New Mexico AlbuquerqueNM87131 United States Department of Astronomy Cornell University IthacaNY14853 United States Jodrell Bank Centre for Astrophysics School of Physics and Astronomy University of Manchester Manchester United Kingdom AstroParticule e

The Simons Observatory (SO) is a ground-based cosmic microwave background (CMB) experiment sited on Cerro Toco in the Atacama Desert in Chile that promises to provide breakthrough discoveries in fundamental physics, cosmology, and astrophysics. Supported by the Simons Foundation, the Heising-Simons Foundation, and with contributions from collaborating institutions, SO will see first light in 2021 and start a five year survey in 2022. SO has 287 collaborators from 12 countries and 53 institutions, including 85 students and 90 postdocs. The SO experiment in its currently funded form ('SO-Nominal') consists of three 0.4 m Small Aperture Telescopes (SATs) and one 6 m Large Aperture Telescope (LAT). Optimized for minimizing systematic errors in polarization measurements at large angular scales, the SATs will perform a deep, degree-scale survey of 10% of the sky to search for the signature of primordial gravitational waves. The LAT will survey 40% of the sky with arc-minute resolution. These observations will measure (or limit) the sum of neutrino masses, search for light relics, measure the early behavior of Dark Energy, and refine our understanding of the intergalactic medium, clusters and the role of feedback in galaxy formation. With up to ten times the sensitivity and five times the angular resolution of the Planck satellite, and roughly an order of magnitude increase in mapping speed over currently operating ("Stage 3") experiments, SO will measure the CMB temperature and polarization fluctuations to exquisite precision in six frequency bands from 27 to 280 GHz. SO will rapidly advance CMB science while informing the design of future observatories such as CMB-S4. Construction of SO-Nominal is fully funded, and operations and data analysis are funded for part of the planned five-year observations. We will seek federal funding to complete the observations and analysis of SO-Nominal, at the $25M level. The SO has a low risk and cost efficient upgrade path - the 6 m LAT

关键词： Observatories

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Robust camera location estimation by convex programming

Robust camera location estimation by convex programming

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IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2015

作者： Özyeşil, Onur Singer, Amit Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544-1000 United States Department of Mathematics Princeton University PrincetonNJ08544-1000 United States

ISBN: (纸本)9781467369640

3D structure recovery from a collection of 2D images requires the estimation of the camera locations and orientations, i.e. the camera motion. For large, irregular collections of images, existing methods for the location estimation part, which can be formulated as the inverse problem of estimating n locations t1, t2,..., tn in 3 from noisy measurements of a subset of the pairwise directions ti-tj/||ti-tj||, are sensitive to outliers in direction measurements. In this paper, we firstly provide a complete characterization of well-posed instances of the location estimation problem, by presenting its relation to the existing theory of parallel rigidity. For robust estimation of camera locations, we introduce a two-step approach, comprised of a pairwise direction estimation method robust to outliers in point correspondences between image pairs, and a convex program to maintain robustness to outlier directions. In the presence of partially corrupted measurements, we empirically demonstrate that our convex formulation can even recover the locations exactly. Lastly, we demonstrate the utility of our formulations through experiments on Internet photo collections. © 2015 IEEE.

关键词： Convex optimization

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Search for Gravitational Waves Emitted from SN 2023ixf

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The Astrophysical Journal 2025年第2期985卷 183-183页

作者： A. G. Abac R. Abbott I. Abouelfettouh F. Acernese K. Ackley S. Adhicary N. Adhikari R. X. Adhikari V. K. Adkins D. Agarwal M. Agathos M. Aghaei Abchouyeh O. D. Aguiar I. Aguilar L. Aiello A. Ain T. Akutsu S. Albanesi R. A. Alfaidi A. Al-Jodah C. Alléné A. Allocca S. Al-Shammari P. A. Altin S. Alvarez-Lopez A. Amato L. Amez-Droz A. Amorosi C. Amra A. Ananyeva S. B. Anderson W. G. Anderson M. Andia M. Ando T. Andrade N. Andres M. Andrés-Carcasona T. Andrić J. Anglin S. Ansoldi J. M. Antelis S. Antier M. Aoumi E. Z. Appavuravther S. Appert S. K. Apple K. Arai A. Araya M. C. Araya J. S. Areeda L. Argianas N. Aritomi F. Armato N. Arnaud M. Arogeti S. M. Aronson G. Ashton Y. Aso M. Assiduo S. Assis de Souza Melo S. M. Aston P. Astone F. Attadio F. Aubin K. AultONeal G. Avallone S. Babak F. Badaracco C. Badger S. Bae S. Bagnasco E. Bagui J. G. Baier L. Baiotti R. Bajpai T. Baka M. Ball G. Ballardin S. W. Ballmer S. Banagiri B. Banerjee D. Bankar P. Baral J. C. Barayoga B. C. Barish D. Barker P. Barneo F. Barone B. Barr L. Barsotti M. Barsuglia D. Barta A. M. Bartoletti M. A. Barton I. Bartos S. Basak A. Basalaev R. Bassiri A. Basti D. E. Bates M. Bawaj P. Baxi J. C. Bayley A. C. Baylor P. A. Baynard II M. Bazzan V. M. Bedakihale F. Beirnaert M. Bejger D. Belardinelli A. S. Bell V. Benedetto W. Benoit J. D. Bentley M. Ben Yaala S. Bera M. Berbel F. Bergamin B. K. Berger S. Bernuzzi M. Beroiz D. Bersanetti A. Bertolini J. Betzwieser D. Beveridge N. Bevins R. Bhandare U. Bhardwaj R. Bhatt D. Bhattacharjee S. Bhaumik S. Bhowmick A. Bianchi I. A. Bilenko G. Billingsley A. Binetti S. Bini O. Birnholtz S. Biscoveanu A. Bisht M. Bitossi M.-A. Bizouard J. K. Blackburn L. A. Blagg C. D. Blair D. G. Blair F. Bobba N. Bode G. Boileau M. Boldrini G. N. Bolingbroke A. Bolliand L. D. Bonavena R. Bondarescu F. Bondu E. Bonilla M. S. Bonilla A. Bonino R. Bonnand P. Booker A. Borchers V. Boschi S. Bose V. Bossilkov V. Boudart A. Boudon A. Bozzi C. Bradaschia P. R. Brady M. Braglia A. Branch M. Branchesi J. Brandt I. Braun M. Breschi T. B Max Planck Institute for Gravitational Physics (Albert Einstein Institute) D-14476 Potsdam Germany LIGO Laboratory California Institute of Technology Pasadena CA 91125 USA LIGO Hanford Observatory Richland WA 99352 USA Dipartimento di Farmacia Università di Salerno I-84084 Fisciano Salerno Italy INFN Sezione di Napoli I-80126 Napoli Italy University of Warwick Coventry CV4 7AL UK The Pennsylvania State University University Park PA 16802 USA University of Wisconsin-Milwaukee Milwaukee WI 53201 USA Louisiana State University Baton Rouge LA 70803 USA Université catholique de Louvain B-1348 Louvain-la-Neuve Belgium Inter-University Centre for Astronomy and Astrophysics Pune 411007 India Queen Mary University of London London E1 4NS UK Department of Physics and Astronomy Sejong University 209 Neungdong-ro Gwangjin-gu Seoul 143-747 Republic of Korea Instituto Nacional de Pesquisas Espaciais 12227-010 São José dos Campos São Paulo Brazil Stanford University Stanford CA 94305 USA Università di Roma Tor Vergata I-00133 Roma Italy INFN Sezione di Roma Tor Vergata I-00133 Roma Italy Cardiff University Cardiff CF24 3AA UK Universiteit Antwerpen 2000 Antwerpen Belgium Gravitational Wave Science Project National Astronomical Observatory of Japan 2-21-1 Osawa Mitaka City Tokyo 181-8588 Japan Advanced Technology Center National Astronomical Observatory of Japan 2-21-1 Osawa Mitaka City Tokyo 181-8588 Japan INFN Sezione di Torino I-10125 Torino Italy Theoretisch-Physikalisches Institut Friedrich-Schiller-Universität Jena D-07743 Jena Germany Dipartimento di Fisica Università degli Studi di Torino I-10125 Torino Italy SUPA University of Glasgow Glasgow G12 8QQ UK OzGrav University of Western Australia Crawley Western Australia 6009 Australia University Savoie Mont Blanc CNRS Laboratoire d’Annecy de Physique des Particules - IN2P3 F-74000 Annecy France Università di Napoli “Federico II ” I-80126 Napoli Italy OzGrav Australian National University C

We present the results of a search for gravitational-wave transients associated with core-collapse supernova SN 2023ixf, which was observed in the galaxy Messier 101 via optical emission on 2023 May 19, during the LIGO–Virgo–KAGRA 15th Engineering Run. We define a five-day on-source window during which an accompanying gravitational-wave signal may have occurred. No gravitational waves have been identified in data when at least two gravitational-wave observatories were operating, which covered ∼14% of this five-day window. We report the search detection efficiency for various possible gravitational-wave emission models. Considering the distance to M101 (6.7 Mpc), we derive constraints on the gravitational-wave emission mechanism of core-collapse supernovae across a broad frequency spectrum, ranging from 50 Hz to 2 kHz, where we assume the gravitational-wave emission occurred when coincident data are available in the on-source window. Considering an ellipsoid model for a rotating proto-neutron star, our search is sensitive to gravitational-wave energy 1 × 10⁻⁴ M_⊙c² and luminosity 2.6 × 10⁻⁴ M_⊙c² s⁻¹ for a source emitting at 82 Hz. These constraints are around an order of magnitude more stringent than those obtained so far with gravitational-wave data. The constraint on the ellipticity of the proto-neutron star that is formed is as low as 1.08, at frequencies above 1200 Hz, surpassing past results.

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Corrigendum: Hyperuniformity variation with quasicrystal local isomorphism class

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Journal of physics. Condensed matter : an Institute of Physics journal 2017年第47期29卷 2017 Aug 8页

作者： C Lin P J Steinhardt S Torquato Department of Physics Princeton University Princeton NJ 08544 United States of America. Princeton Center for Theoretical Science Princeton University Princeton NJ 08544 United States of America. Department of Chemistry Princeton University Princeton NJ 08544 United States of America. Program of Applied and Computational Mathematics Princeton University Princeton NJ 08544 United States of America. Princeton Institute for the Science and Technology of Materials Princeton University Princeton NJ 08544 United States of America.

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Real-space investigation of short-range magnetic correlations in fluoride pyrochlores NaCaCo2F7 and NaSrCo2F7 with magnetic pair distribution function analysis

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Physical Review Materials 2017年第7期1卷 074412-074412页

作者： Benjamin A. Frandsen Kate A. Ross Jason W. Krizan Gøran J. Nilsen Andrew R. Wildes Robert J. Cava Robert J. Birgeneau Simon J. L. Billinge Materials Sciences Division Lawrence Berkeley National Laboratory Berkeley California 94720 USA Department of Physics University of California Berkeley California 94720 USA Department of Physics Colorado State University Fort Collins Colorado 80523 USA Quantum Materials Program Canadian Institute for Advanced Research Toronto Ontario M5G 1Z8 Canada Department of Physics Princeton University Princeton New Jersey 08544 USA Institut Laue-Langevin CS 20156 38042 Grenoble Cédex 9 France ISIS Neutron and Muon Facility Rutherford Appleton Laboratory Didcot OX11 0QX United Kingdom Department of Materials Science and Engineering University of California Berkeley California 94720 USA Condensed Matter Physics and Materials Science Department Brookhaven National Laboratory Upton New York 11973 USA Department of Applied Physics and Applied Mathematics Columbia University New York New York 10027 USA

We present time-of-flight neutron total scattering and polarized neutron scattering measurements of the magnetically frustrated compounds NaCaCo2F7 and NaSrCo2F7, which belong to a class of recently discovered pyrochlore compounds based on transition metals and fluorine. The magnetic pair distribution function (mPDF) technique is used to analyze and model the total scattering data in real space. We find that a previously proposed model of short-range XY-like correlations with a length scale of 10–15 Å, combined with nearest-neighbor collinear antiferromagnetic correlations, accurately describes the mPDF data at low temperature, confirming the magnetic ground state in these materials. This model is further verified by the polarized neutron scattering data. From an analysis of the temperature dependence of the mPDF and polarized neutron scattering data, we find that short-range correlations persist on the nearest-neighbor length scale up to 200 K, approximately two orders of magnitude higher than the spin freezing temperatures of these compounds. These results highlight the opportunity presented by these new pyrochlore compounds to study the effects of geometric frustration at relatively high temperatures, while also advancing the mPDF technique and providing an opportunity to investigate a genuinely short-range-ordered magnetic ground state directly in real space.

关键词： Frustrated magnetism Neutron pair-distribution function analysis Neutron scattering

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Pseudo prolate spheroidal functions 11

Pseudo prolate spheroidal functions

引用

11th International Conference on Sampling Theory and Applications, SampTA 2015

作者： Daniel Abreu, Luis Pereira, Joao M. Austrian Academy of Sciences Acoustics Research Institute Wohllebengasse 12-14 ViennaA-1040 Austria Program in Applied and Computational Mathematics Princeton University PrincetonNJ08544 United States

ISBN: (纸本)9781467373531

Let Dt and BΩ denote the operators which cut the time content outside T and the frequency content outside Ω, respectively. The prolate spheroidal functions are the eigen-functions of the operator Ρτ,Ω = DtBΩDt. With the aim of formulating in precise mathematical terms the notion of Nyquist rate, Landau and Pollack have shown that, asymptotically, the number of such functions with eigenvalue close to one is ≈ TΩ/2π. We have recently revisited this problem with a new approach: instead of counting the number of eigenfunctions with eigenvalue close to one, we count the maximum number of orthogonal Ε-pseudoeigenfunctions with Ε-pseudoeigenvalue one. Precisely, we count how many orthogonal functions have a maximum of energy e outside the domain T x Ω, in the sense that PT, Ωf - f2 ≤ Ε. We have recently discovered that the sharp asymptotic number is ≈ (1 - Ε)-1TΩ/2π. The proof involves an explicit construction of the pseudoeigenfunctions of PT, Ω. When T and Ω are intervals we call them pseudo prolate spheroidal functions. In this paper we explain how they are constructed. © 2015 IEEE.

关键词： Orthogonal functions

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