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We use Maxima to compute the moment matrices of hypersurfaces. After that, we compute the Hilbert-Mumford numerical criterion for plane cubics and plane quartics, and give the stability of these curves.

代数几何 · 数学 2017-08-24 Dun Liang

Coarse-grained (CG) conformational surface hopping (SH) adapts the concept of multisurface dynamics, initially developed to describe electronic transitions in chemical reactions, to accurately describe classical molecular dynamics at a…

软凝聚态物质 · 物理学 2021-02-03 Joseph F. Rudzinski , Tristan Bereau

The wetting of solid surfaces by fluids is a problem of great practical importance that has been extensively studied over the years. Most often, the experimental work has involved measurements of the contact angle made by a liquid on the…

统计力学 · 物理学 2007-05-23 S. Curtarolo , M. J. Bojan , G. Stan , M. W. Cole , W. A. Steele

A new approach to simulating rotational cooling using a direct simulation Monte Carlo (DSMC) method is described and applied to the rotational cooling of ammonia seeded into a helium supersonic jet. The method makes use of ab initio…

We describe the construction of CMC surfaces with symmetries in $\mathbb S^3$ and $\mathbb R^3$ using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the space. The fundamental piece is constructed by the generalized…

微分几何 · 数学 2022-03-03 Alexander I. Bobenko , Sebastian Heller , Nicholas Schmitt

This paper details a class of metal-based space-time metasurfaces for application in wireless communications scenarios. Concretely, we describe space-time metasurfaces that periodically alternate their properties in time between three…

The simulation of soil-structure interaction problems involving two-phase materials poses significant challenges in geotechnical engineering. These challenges arise due to differences in material stiffnesses, the interaction between…

数值分析 · 数学 2023-03-03 Chihun Sung , Shyamini Kularathna , Krishna Kumar

In this paper, we describe a soil-fluid-structure interaction model that combines soil mechanics (saturated sediments), fluid mechanics (seawater or air), and solid mechanics (structures). The formulation combines the Material Point Method,…

数值分析 · 数学 2022-11-24 Quoc Anh Tran , Gustav Grimstad , Seyed Ali Ghoreishian Amiri

One of the main advantages of reciprocal bianisotropic metasurfaces is their capability to produce asymmetric scattering depending from which side they are illuminated and on the handedness of circularly polarized illuminations. For most…

应用物理 · 物理学 2023-02-07 F. S Cuesta , M. S. Mirmoosa , S. A. Tretyakov

Using the Wang-Landau flat histogram Monte Carlo (FHMC) simulation technique, we were able to study two types of triangulated spherical surface models in which the two-dimensional extrinsic curvature energy is assumed in the Hamiltonian.…

统计力学 · 物理学 2010-09-30 Hiroshi Koibuchi

Metamaterials and metasurfaces have given possibilities for manipulating electromagnetic (EM) waves that in the past would have seemed impossible. The majority of metasurface designs are suitable for a particular frequency and angle of…

信号处理 · 电气工程与系统科学 2019-06-10 Loukas Petrou , Petros Karousios , Julius Georgiou

This paper presents a framework for analyzing and designing cylindrical omega-bianisotropic metasurfaces, inspired by mode matching and digital signal processing techniques. Using the discrete Fourier transform, we decompose the the…

经典物理 · 物理学 2022-03-10 Gengyu Xu , George V. Eleftheriades , Sean V. Hum

Solid-solid collapse transition in open framework structures is ubiquitous in nature. The real difficulty in understanding detailed microscopic aspects of such transitions in molecular systems arises from the interplay between different…

软凝聚态物质 · 物理学 2015-06-15 Rakesh S. Singh , Biman Bagchi

Motivated by a vulcanological problem, we establish a sound mathematical approach for surface deformation effects generated by a magma chamber embedded into Earth's interior and exerting on it a uniform hydrostatic pressure. Modeling…

偏微分方程分析 · 数学 2016-06-21 Andrea Aspri , Elena Beretta , Corrado Mascia

We present the concept of a magnetless Reflective Gyrotropic Spatial Isolator (RGSI) metasurface. This is a birefringent metasurface that reflects vertically polarized incident waves into a horizontally polarized waves, and absorbs…

应用物理 · 物理学 2021-08-11 Guillaume Lavigne , Christophe Caloz

The synthesis of a metasurface exhibiting a specific set of desired scattering properties is a time-consuming and resource-demanding process, which conventionally relies on many cycles of full-wave simulations. It requires an experienced…

信号处理 · 电气工程与系统科学 2021-09-15 Parinaz Naseri , Sean V. Hum

Modern 3D Computer-Aided-Design (CAD) systems use mainly two types of geometric models. Classically, objects are defined by a Boundary Representation (B-Rep), where only the objects' surfaces with their corresponding edges and nodes are…

计算工程、金融与科学 · 计算机科学 2018-09-27 Benjamin Wassermann , Tino Bog , Stefan Kollmannsberger , Ernst Rank

We present a comprehensive review on the geometric-phase based metasurfaces for orbital angular momentum(OAM) generation and detection. These metasurfaces manipulate the electromagnetic (EM) wave by introducing abrupt phase change, which is…

光学 · 物理学 2018-03-12 Menglin L. N. Chen , Li Jun Jiang , Wei E. I. Sha

Grain boundary (GB) kinetics is important for many applications in 2d materials and metal thin films. To study how the substrate shape affects GB mobility and kinetics, we develop a kinetic Monte Carlo (kMC) simulation method and an…

材料科学 · 物理学 2022-01-24 Kongtao Chen

We present MOSAIC-GS, a novel, fully explicit, and computationally efficient approach for high-fidelity dynamic scene reconstruction from monocular videos using Gaussian Splatting. Monocular reconstruction is inherently ill-posed due to the…

计算机视觉与模式识别 · 计算机科学 2026-01-12 Svitlana Morkva , Maximum Wilder-Smith , Michael Oechsle , Alessio Tonioni , Marco Hutter , Vaishakh Patil