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arXiv 2016年

作者： Chiavazzo, Eliodoro Coifman, Ronald R. Covino, Roberto William Gear, C. Georgiou, Anastasia S. Hummer, Gerhard Kevrekidis, Ioannis G. Energy Department Politecnico di Torino Torino10129 Italy Department of Mathematics Program in Applied Mathematics Yale University New HavenCT06510 United States Max Planck Institute of Biophysics Frankfurt am Main60438 Germany Department of Chemical and Biological Engineering Princeton University PrincetonNJ08544 United States Institute of Biophysics Goethe University Frankfurt am Main60438 Germany PACM Princeton University PrincetonNJ08544 United States IAS-TUM Garching Germany

We describe and implement iMapD, a computer-assisted approach for accelerating the exploration of uncharted effective Free Energy Surfaces (FES), and more generally for the extraction of coarse-grained, macroscopic information from atomistic or stochastic (here Molecular Dynamics, MD) simulations. The approach functionally links the MD simulator with nonlinear manifold learning techniques. The added value comes from biasing the simulator towards new, unexplored phase space regions by exploiting the smoothness of the (gradually, as the exploration progresses) revealed intrinsic low-dimensional geometry of the FES. Copyright © 2016, The Authors. All rights reserved.

关键词： Free energy

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Weak-lensing mass calibration of ACTPOL sunyaev-zel’dovich clusters with the hyper suprime-cam survey

arXiv

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arXiv 2018年

作者： Miyatake, Hironao Battaglia, Nicholas Hilton, Matt Medezinski, Elinor Nishizawa, Atsushi J. More, Surhud Aiola, Simone Bahcall, Neta Bond, J. Richard Calabrese, Erminia Choi, Steve K. Devlin, Mark J. Dunkley, Joanna Dunner, Rolando Fuzia, Brittany Gallardo, Patricio Gralla, Megan Hasselfield, Matthew Halpern, Mark Hikage, Chiaki Hill, J. Colin Hincks, Adam D. Hložek, Renée Huffenberger, Kevin Hughes, John P. Koopman, Brian Kosowsky, Arthur Louis, Thibaut Madhavacheril, Mathew S. McMahon, Jeff Mandelbaum, Rachel Marriage, Tobias A. Maurin, Loïc Miyazaki, Satoshi Moodley, Kavilan Murata, Ryoma Naess, Sigurd Newburgh, Laura Niemack, Michael D. Nishimichi, Takahiro Okabe, Nobuhiro Oguri, Masamune Osato, Ken Page, Lyman Partridge, Bruce Robertson, Naomi Sehgal, Neelima Sherwin, Blake Shirasaki, Masato Sievers, Jonathan Sifón, Cristóbal Simon, Sara Spergel, David N. Staggs, Suzanne T. Stein, George Takada, Masahiro Trac, Hy Umetsu, Keiichi van Engelen, Alex Wollack, Edward J. Institute for Advanced Research Nagoya University Nagoya464-8601 Japan Division of Physics and Astrophysical Science Graduate School of Science Nagoya University Nagoya464-8602 Japan Jet Propulsion Laboratory California Institute of Technology PasadenaCA91109 United States UTIAS University of Tokyo Chiba277-8583 Japan Center for Computational Astrophysics Flatiron Institute New YorkNY10010 United States Department of Astronomy Cornell University IthacaNY14853 United States Department of Astrophysical Sciences Princeton University PrincetonNJ08544 United States Astrophysics & Cosmology Research Unit School of Mathematics Statistics & Computer Science University of KwaZulu-Natal Westville Campus Durban4041 South Africa Department of Physics Princeton University PrincetonNJ08544 United States Canadian Institute for Theoretical Astrophysics University of Toronto TorontoONM5S 3H8 Canada School of Physics and Astronomy Cardiff University The Parade CardiffCF24 3AA United Kingdom Department of Physics and Astronomy University of Pennsylvania PhiladelphiaPA19104 United States Instituto de Astrofísica Centro de Astro-Ingeniería Facultad de Física Pontificia Universidad Católica de Chile Av. Vicuña Mackenna 4860 Macul Santiago7820436 Chile Department of Physics Florida State University TallahasseeFL32306 United States Department of Physics Cornell University IthacaNY14853 United States Department of Astronomy/Steward Observatory University of Arizona 933 N. Cherry Ave. TucsonAZ85721 United States Institute for Gravitation and the Cosmos Pennsylvania State University University ParkPA16802 United States Department of Astronomy and Astrophysics Pennsylvania State University University ParkPA16802 United States Department of Physics and Astronomy University of British Columbia VancouverBCV6T 1Z4 Canada School of Natural Sciences Institute for Advanced Study PrincetonNJ08540 United States Department of Physics University

We present weak-lensing measurements using the first-year data from the Hyper Suprime-Cam Strategic Survey program on the Subaru telescope for eight galaxy clusters selected through their thermal Sunyaev-Zel’dovich (SZ) signal measured at 148 GHz with the Atacama Cosmology Telescope Polarimeter experiment. The overlap between the two surveys in this work is 33.8 square degrees, before masking bright stars. The signal-to-noise ratio of individual cluster lensing measurements ranges from 2.2 to 8.7, with a total of 11.1 for the stacked cluster weak-lensing signal. We fit for an average weak-lensing mass distribution using three different profiles, a Navarro-Frenk-White profile, a dark-matter-only emulated profile, and a full cosmological hydrodynamic emulated profile. We interpret the differences among the masses inferred by these models as a systematic error of 10%, which is currently smaller than the statistical error. We obtain the ratio of the SZ-estimated mass to the lensing-estimated mass (the so-called hydrostatic mass bias (Formula presented), which is comparable to previous SZ-selected clusters from the Atacama Cosmology Telescope and from the Planck Satellite. We conclude with a discussion of the implications for cosmological parameters inferred from cluster abundances compared to cosmic microwave background primary anisotropy measurements. Subject headings: galaxies: clusters: general;gravitational lensing: weak;cosmology: observations Copyright © 2018, The Authors. All rights reserved.

关键词： Cams

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Oscillatory Couette flow of rotating Sisko fluid

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applied mathematics and Mechanics(English Edition) 2014年第10期35卷 1301-1310页

作者： T.HAYAT S.ABELMAN M.HAMESE Department of Mathematics Quaid-i-Azam University Department of Mathematics Faculty of Science King Abdulaziz University Centre for Differential Equations Continuum Mechanics and Applications School of Computational and Applied Mathematics University of the Witwatersrand

The oscillatory Couette flow of a magnetohydrodynamic （MHD） Sisko fluid between two infinite non-conducting parallel plates is explored in a rotating frame. The lower plate is fixed, and the upper plate is oscillating in its own plane. Using MATLAB, a numerical solution to the resulting nonlinear system is presented. The influence of the physical parameters on the velocity components is analyzed. It is found that the effect of rotation on the primary velocity is more significant than that on the secondary velocity. Further, the oscillatory character in the flow is also induced by rotation. The considered flow situation behaves inertialess when the Reynolds number is small.

关键词： Couette flow Sisko fluid numerical solution oscillatory flow

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High-Girth matrices and polarization

High-Girth matrices and polarization

引用

IEEE International Symposium on Information Theory

作者： Emmanuel Abbe Yuval Wigderson Prog. in Applied and Computational Math Princeton University Department of Mathematics Princeton University

ISBN: (纸本)9781467377058

The girth of a matrix is the least number of linearly dependent columns, in contrast to the rank which is the largest number of linearly independent columns. This paper considers the construction of high-girth matrices, whose probabilistic girth is close to their rank. Random matrices can be used to show the existence of high-girth matrices. This paper uses a recursive construction based on conditional ranks (inspired by polar codes) to obtain a deterministic and efficient construction of high-girth matrices for arbitrary relative ranks. Interestingly, the construction is agnostic to the underlying field and applies to both finite and continuous fields with the same binary matrix. The construction gives in particular the following: (i) over the binary field, high-girth matrices are equivalent to capacity-achieving codes, and our construction turns out to match exactly the BEC polar codes (even at finite block length). It hence gives a different interpretation of BEC polar codes, using the parity-check matrix instead of the generator matrix, and basic linear algebra instead of the mutual information, and generalizes to larger fields; (ii) for the BSC, our construction gives an operational meaning to the Bhattacharyya upper-bound process used in polar codes; (iii) for the reals, it gives an explicit candidate matrix for sparse recovery.

关键词： Probabilistic logic Sparse matrices Linear codes Decoding Mutual information Parity check codes

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H^2-regularity random attractors of stochastic non-Newtonian fluids with multiplicative noise

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applied mathematics and Mechanics(English Edition) 2014年第1期35卷 105-116页

作者：郭春晓郭柏灵杨慧 Department of Mathematics China University of Mining and Technology Beijing Institute of Applied Physics and Computational Mathematics College of Mathematics Yunnan Normal University

In this paper, the authors study the long time behavior of solutions to stochastic non-Newtonian fluids in a two-dimensional bounded domain, and prove the existence of H2-regularity random attractor.

关键词： random attractor non-Newtonian fluid multiplicative noise Stratonovichprocess

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Reduced modeling of transitional exact coherent states in shear flow 15

Reduced modeling of transitional exact coherent states in sh...

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15th European Turbulence Conference, ETC 2015

作者： Beaume, Cédric Chini, Greg P. Julien, Keith Knobloch, Edgar Department of Aeronautics Imperial College London LondonSW7 2AZ United Kingdom Department of Mechanical Engineering and Program in Integrated Applied Mathematics University of New Hampshire DurhamNH03824 United States Department of Applied Mathematics University of Colorado at Boulder BoulderCO80309 United States Department of Physics University of California BerkeleyCA94720 United States

In parallel shear flows, the lower branch solution follows simple streamwise dynamics. A decomposition of this solution into Fourier modes in this direction yields modes whose amplitudes scale with inverse powers of the Reynolds number. We use this scaling to derive a reduced model for exact coherent structures in general parallel shear flows. The reduced model is regularized by retaining higher order viscous terms. Both lower branch and upper branch solutions are captured and studied. © TU Delft.

关键词： Shear flow

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A comparative study of two new conjugate gradient methods

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AIP Conference Proceedings 2015年第1期1643卷 616-621页

作者： Mohamed Hamoda Abdelrhaman Abashar Mustafa Mamat Mohd Rivaie School of Informatics and Applied Mathematics Universiti Malaysia Terengganu (UMT) Malaysia Department of Computational & Applied Mathematics Faculty of Informatics and Computing Universiti Sultan Zainal Abidin Kampus Tembila Besut Malaysia Department of Computer Science and Mathematics Universiti Teknologi MARA (UITM) Terengganu Campus Kuala Terengganu Malaysia

In this paper, we compared the performance profile of the classical conjugate gradient coefficients FR, PRP with two new βk. These two new βk possess global convergence properties using the exact line search. Preliminary numerical results show that, the two new βk is very promising and efficient when compared to CG coefficients FR, PRP.

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Packed ultra-wideband mapping array (PUMA∗): A radio telescope for cosmology and transients

arXiv

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arXiv 2019年

作者： Slosar, Anže Ahmed, Zeeshan Alonso, David Amin, Mustafa A. Ansari, Réza Arena, Evan J. Bandura, Kevin Battaglia, Nicholas Blazek, Jonathan Bull, Philip Castorina, Emanuele Chang, Tzu-Ching Connor, Liam Davé, Romeel Dvorkin, Cora van Engelen, Alexander Ferraro, Simone Flauger, Raphael Foreman, Simon Frisch, Josef Green, Daniel Holder, Gilbert Jacobs, Daniel Johnson, Matthew C. Dillon, Joshua S. Karagiannis, Dionysios Kaurov, Alexander A. Knox, Lloyd Liu, Adrian Loverde, Marilena Ma, Yin-Zhe Masui, Kiyoshi W. McClintock, Thomas Meerburg, Pieter D. Moodley, Kavilan Münchmeyer, Moritz Newburgh, Laura B. Ng, Cherry Nomerotski, Andrei O'Connor, Paul Obuljen, Andrej Padmanabhan, Hamsa Parkinson, David Xavier Prochaska, J. Rajendran, Surjeet Rapetti, David Saliwanchik, Benjamin Schaan, Emmanuel Sehgal, Neelima Richard Shaw, J. Sheehy, Chris Sheldon, Erin Shirley, Raphael Silverstein, Eva Slatyer, Tracy Slosar, Anže Stankus, Paul Stebbins, Albert Timbie, Peter T. Tucker, Gregory S. Tyndall, William Villaescusa-Navarro, Francisco Wallisch, Benjamin White, Martin Brookhaven National Laboratory SLAC National Accelerator Laboratory Menlo ParkCA94025 United States University of Oxford OxfordOX1 3RH United Kingdom Department of Physics & Astronomy Rice University HoustonTX77005 United States Université Paris-Sud LAL UMR 8607 Orsay CedexF-91898 France CNRS/IN2P3 OrsayF-91405 France Brookhaven National Laboratory UptonNY11973 United States Drexel University PhiladelphiaPA19104 United States CSEE West Virginia University MorgantownWV26505 United States Center for Gravitational Waves and Cosmology West Virginia University MorgantownWV26505 United States Cornell University IthacaNY14853 United States Observatoire de Sauverny Versoix1290 Switzerland Queen Mary University of London LondonE1 4NS United Kingdom Department of Physics & Astronomy University of the Western Cape Cape Town7535 South Africa Department of Physics University of California Berkeley BerkeleyCA94720 United States Jet Propulsion Laboratory California Institute of Technology PasadenaCA United States Anton Pannekoek Institute for Astronomy University of Amsterdam Amsterdam1098 XH Netherlands University of Edinburgh EdinburghEH8 9YL United Kingdom Department of Physics Harvard University CambridgeMA02138 United States Canadian Institute for Theoretical Astrophysics University of Toronto TorontoONM5S 3H8 Canada Arizona State University TempeAZ85287 United States Lawrence Berkeley National Laboratory BerkeleyCA94720 United States University of California San Diego San DiegoCA92093 United States Department of Physics University of Illinois at Urbana-Champaign UrbanaIL61801 United States Department of Physics and Astronomy York University TorontoONM3J 1P3 Canada Perimeter Institute WaterlooONN2L 2Y5 Canada Department of Astronomy University of California Berkeley BerkeleyCA94720 United States Dipartimento di Fisica e Astronomia "G. Galilei" Università degli Studi di Padova Padova35131 Italy Istituto Naziona

We present a concept for an ultra-wide band, high-sensitivity and low-resolution radio telescope array operating at 200 MHz-1100 MHz, which is optimized for cosmology with 21 cm intensity mapping in the post-reionization era, but also addresses other science goals amenable to such observations, including Fast Radio Bursts (FRBs), pulsar monitoring and transients as a part of multi-messenger observations. Our project is named PUMA (Packed Ultra-wideband Mapping Array) and is an evolution of the Stage II 21 cm experiment concept. This idea grew out of deliberations of the Cosmic Visions Dark Energy Committee, a department of Energy panel tasked with investigating possible future directions for the DOE HEP program in the field of dark energy science, and more generally low-redshift survey science. In two reports [1, 2], the idea of a DOE-led 21 cm experiment was advocated, followed by the development of a concept within the 21 cm working group. This has culminated in the 21cm Roadmap document [3], which was published on the arXiv in October 2018 and submitted to the DOE. For the decadal survey, the concept has been significantly updated following new insights, mostly regarding the feasibility of the ultra-wide bandwidth feed antennas and the theoretical modelling of the expected signal. Copyright © 2019, The Authors. All rights reserved.

关键词： Ultra-wideband (UWB)

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Characteristics of betatron radiation from direct-laser-accelerated electrons

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Physical Review E 2016年第6期93卷 063203-063203页

作者： T. W. Huang A. P. L. Robinson C. T. Zhou B. Qiao B. Liu S. C. Ruan X. T. He P. A. Norreys HEDPS Center for Applied Physics and Technology and School of Physics Peking University Beijing 100871 People's Republic of China Central Laser Facility STFC Rutherford-Appleton Laboratory Didcot OX11 0QX United Kingdom Institute of Applied Physics and Computational Mathematics Beijing 100094 People's Republic of China College of Electronic Science and Technology Shenzhen University Shenzhen 518060 People's Republic of China Clarendon Laboratory Department of Physics University of Oxford Parks Road Oxford OX1 3PU United Kingdom

Betatron radiation from direct-laser-accelerated electrons is characterized analytically and numerically. It is shown here that the electron dynamics is strongly dependent on a self-similar parameter S(≡nenca0). Both the electron transverse momentum and energy are proportional to the normalized amplitude of laser field (a0) for a fixed value of S. As a result, the total number of radiated photons scales as a02/S and the energy conversion efficiency of photons from the accelerated electrons scales as a03/S. The particle-in-cell simulations agree well with the analytical scalings. It is suggested that a tunable high-energy and high-flux radiation source can be achieved by exploiting this regime.

关键词： Laser-plasma interactions X-ray generation in plasmas

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Existence of Generalized Heteroclinic Solutions of the Coupled Schrdinger System under a Small Perturbation

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Chinese Annals of mathematics,Series B 2014年第6期35卷 857-872页

作者： Shengfu DENG Boling GUO Tingchun WANG Department of Mathematics Zhanjiang Normal University Institute of Applied Physics and Computational Mathematics School of Mathematics and Statistics Nanjing University of Information Science and Technology

The following coupled Schrodinger system with a small perturbation is considered, where β and ε are small parameters. The whole system has a periodic solution with the aid of a Fourier series expansion technique, and its dominant system has a heteroclinic solution. Then adjusting some appropriate constants and applying the fixed point theorem and the perturbation method yield that this heteroclinic solution deforms to a heteroclinic solution exponentially approaching the obtained periodic solution （called the generalized heteroclinic solution thereafter）.

关键词： Coupled SchrSdinger system Heteroclinic solutions Reversibility

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