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The utilisation of the Very Low Earth Orbit (VLEO) region offers significant application specific, technological, operational, and cost benefits. However, attaining sustained and economically viable VLEO flight is challenging, primarily due…

Fluid Dynamics · Physics 2022-10-19 Franziska Hild , Constantin Traub , Marcel Pfeiffer , Julian Beyer , Stefanos Fasoulas

We discuss generation of series expansions for Ising spin-glasses with a symmetric $\pm J$ (i.e. bimodal) distribution on d-dimensional hypercubic lattices using linked-cluster methods. Simplifications for the bimodal distribution allow us…

Disordered Systems and Neural Networks · Physics 2018-01-03 R. R. P. Singh , A. P. Young

Surface stiffnesses engender steady patterns of Faraday waves (FWs), so called hydrodynamic crystals as correspond to ordered wave lattices made of discrete subharmonics under monochromatic driving. Mastering rules are both inertia-imposed…

We use simulations of LSS formation to study the build-up of magnetic fields (MFs) in the ICM. Our basic assumption is that cosmological MFs grow in a MHD amplification process driven by structure formation out of a seed MF present at high…

Astrophysics · Physics 2010-12-09 Klaus Dolag , Dario Grasso , Volker Springel , Igor Tkachev

Lattice-skin structures composed of a thin-shell skin and a lattice infill are widespread in nature and large-scale engineering due to their efficiency and exceptional mechanical properties. Recent advances in additive manufacturing, or 3D…

Numerical Analysis · Mathematics 2022-06-20 Xiao Xiao , Fehmi Cirak

The integration of Low Earth Orbit (LEO) satellite constellations into 5G and Beyond is essential to achieve efficient global connectivity. As LEO satellites are a global infrastructure with predictable dynamics, a pre-planned fair and…

Networking and Internet Architecture · Computer Science 2022-11-14 Israel Leyva-Mayorga , Vineet Gala , Federico Chiariotti , Petar Popovski

In this paper, we propose scalable distributed beamforming schemes over low Earth orbit (LEO) satellite networks that rely solely on statistical channel state information for downlink orthogonal frequency division multiplexing systems. We…

Signal Processing · Electrical Eng. & Systems 2025-10-28 Yuchen Zhang , Tareq Y. Al-Naffouri

The delocalization error of popular density functional approximations (DFAs) leads to diversified problems in present-day density functional theory calculations. For achieving a universal elimination of delocalization error, we develop a…

Chemical Physics · Physics 2017-09-07 Chen Li , Xiao Zheng , Neil Qiang Su , Weitao Yang

The best-understood crystal ordering transition is that of two-dimensional freezing, which proceeds by the rapid eradication of lattice defects as the temperature is lowered below a critical threshold. But crystals that assemble on closed…

Soft Condensed Matter · Physics 2018-02-22 Rodrigo E. Guerra , Colm P. Kelleher , Andrew D. Hollingsworth , Paul M. Chaikin

In a recent paper by the same authors, we provided a theoretical foundation for the component-by-component (CBC) construction of lattice algorithms for multivariate $L_2$ approximation in the worst case setting, for functions in a periodic…

Numerical Analysis · Mathematics 2019-10-16 Ronald Cools , Frances Y. Kuo , Dirk Nuyens , Ian H. Sloan

Inorganic crystals are periodic, highly-symmetric arrangements of atoms in three-dimensional space. Their structures are constrained by the symmetry operations of a crystallographic \emph{space group} and restricted to lie in specific…

Machine Learning · Computer Science 2025-09-30 Omri Puny , Yaron Lipman , Benjamin Kurt Miller

Optimal growth of structures governed by spatially stochastic dynamics arises in many scientific settings, for example in processes such as solution-based crystallization and the formation of microbial biofilms on patterned substrates or…

Optimization and Control · Mathematics 2025-12-16 Maike C. de Jongh , Cristian Spitoni , Emilio N. M. Cirillo

Low Earth orbit (LEO) satellite mega-constellations with hundreds or thousands of satellites and inter-satellite links (ISLs) have the potential to provide global end-to-end connectivity. Furthermore, if the physical distance between source…

Networking and Internet Architecture · Computer Science 2024-05-14 Rasmus Sibbern Frederiksen , Thomas Gundgaard Mulvad , Israel Leyva-Mayorga , Tatiana Kozlova Madsen , Federico Chiariotti

Low earth orbit satellite constellations with intersatellite links (ISLs) are currently being developed and deployed. The availability of ISLs provides the capability to route across the satellite constellation, rather than using the…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Peter Ashwood-Smith , Bill McCormick

Linear scaling methods for density-functional theory (DFT) simulations are formulated in terms of localised orbitals in real-space, rather than the delocalised eigenstates of conventional approaches. In local-orbital methods, relative to…

Materials Science · Physics 2011-05-30 N. D. M. Hine , M. Robinson , P. D. Haynes , C. -K. Skylaris , M. C. Payne , A. A. Mostofi

An ab initio downfolding method is formulated to construct low-dimensional models for correlated electrons. In addition to the band downfolding by constrained random phase approximation formulated for 3D models, screening away from the…

Strongly Correlated Electrons · Physics 2011-01-11 Kazuma Nakamura , Yoshihide Yoshimoto , Yoshiro Nohara , Masatoshi Imada

The fraction of stars forming in compact, gravitationally bound clusters (the `cluster formation efficiency' or CFE) is an important quantity for deriving the spatial clustering of stellar feedback and for tracing star formation using…

Astrophysics of Galaxies · Physics 2019-02-25 Adam Ginsburg , J. M. Diederik Kruijssen

Flat bands are intriguing platforms for correlated and topological physics. Various methods have been developed to create flat bands utilizing lattice geometry, but the investigation of orbital symmetry in multiorbital materials is a new…

Strongly Correlated Electrons · Physics 2024-10-01 Keyu Zeng , Ziqiang Wang

Lattice-like structures can provide a combination of high stiffness with light weight that is useful in many applications, but a resolved finite element mesh of such structures results in a computationally expensive discretization. This…

Numerical Analysis · Mathematics 2022-09-07 Sean McBane , Youngsoo Choi , Karen Willcox