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The plasma edge flow, situated at the intricate boundary between plasma and neutral particles, plays a pivotal role in the design of nuclear fusion devices such as divertors and pumps. Traditional numerical simulation methods, such as the…

Computational Physics · Physics 2024-11-14 Yifan Wen , Yanbing Zhang , Lei Wu

A grid polygon is a polygon whose vertices are points of a grid. We define an injective map between permutations of length n and a subset of grid polygons on n vertices, which we call consecutive-minima polygons. By the kernel method, we…

Combinatorics · Mathematics 2007-05-23 Toufik Mansour , Simone Severini

We introduce a general, scalable computational framework for multi-axis 3D printing based on implicit neural fields (INFs) that unifies all stages of toolpath generation and global collision-free motion planning. In our pipeline, input…

Robotics · Computer Science 2025-09-09 Jiasheng Qu , Zhuo Huang , Dezhao Guo , Hailin Sun , Aoran Lyu , Chengkai Dai , Yeung Yam , Guoxin Fang

Many contemporary studies utilize grid-based models for neural field representation, but a systematic analysis of grid-based models is still missing, hindering the improvement of those models. Therefore, this paper introduces a theoretical…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Zelin Zhao , Fenglei Fan , Wenlong Liao , Junchi Yan

Implicit neural representations have emerged as a powerful approach for encoding complex geometries as continuous functions. These implicit models are widely used in computer vision and 3D content creation, but their integration into…

Charged particles gyrate around magnetic field lines, a property that is exploited to confine plasma in magnetic confinement fusion devices. Typically, the gyroradius is small compared to the system size and thus the gyromotion can be…

Plasma Physics · Physics 2018-11-27 Alessandro Geraldini

The immersed boundary method (IB) is an elegant way to fully couple the motion of a fluid and deformations of an immersed elastic structure. In that vein, the IB2d software allows for expedited explorations of fluid-structure interaction…

Fluid Dynamics · Physics 2018-09-19 Nicholas Battista , Christopher Strickland , Aaron Barrett , Laura Miller

Implicit neural networks have emerged as a crucial technology in 3D surface reconstruction. To reconstruct continuous surfaces from discrete point clouds, encoding the input points into regular grid features (plane or volume) has been…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Shengtao Li , Ge Gao , Yudong Liu , Yu-Shen Liu , Ming Gu

In a recent paper, Clusel and Fortin [J. Phys. A.: Math. Gen. 39 (2006) 995] presented an analytical study of a first-order transition induced by an inhomogeneous boundary magnetic field in the two-dimensional Ising model. They identified…

Statistical Mechanics · Physics 2008-09-05 Elmar Bittner , Wolfhard Janke

In magnetized plasma situations where magnetic fields intersect massive conducting boundaries, "line-tied" boundary conditions are often used, analytically and in numerical simulations. For ideal MHD plasmas, these conditions are arrived at…

Plasma Physics · Physics 2019-04-10 A. B. Hassam , Yi-Min Huang

Kinetic Particle In Cell (PIC) methods can extend greatly their range of applicability if implicit time differencing and spatial adaption are used to address the wide range of time and length scales typical of plasmas. For implicit…

Plasma Physics · Physics 2008-06-05 Giovanni Lapenta

Experimentally-measured pressure fields play an important role in understanding many fluid dynamics problems. Unfortunately, pressure fields are difficult to measure directly with non-invasive, spatially resolved diagnostics, and…

Fluid Dynamics · Physics 2024-04-16 Fernando Zigunov , John Charonko

One of the fundamental problems is the understanding of physics of electrostatic and electromagnetic fluctuations in multi-scale plasma turbulence. Especially so, in continuously connected plasma regions with varying degree of…

Plasma Physics · Physics 2018-05-09 A. D. Patel , M. Sharma , N. Ramasubramanian , R. Ganesh , P. K. Chattopadhyay

Topological analysis of the magnetic field in simulated plasmas allows the study of various physical phenomena in a wide range of settings. One such application is magnetic reconnection, a phenomenon related to the dynamics of the magnetic…

In this work, we develop interface-gated physics-informed neural networks (IG-PINNs) to solve elliptic interface equations. In IG-PINNs, we use a fully connected neural network to capture the smooth behavior across the entire domain. In…

Numerical Analysis · Mathematics 2025-12-09 Jiachun Zheng , Yunqing Huang , Nianyu Yi

Quantifying degrees of fusion and separability between data groups in representation space is a fundamental problem in representation learning, particularly under domain shift. A meaningful metric should capture fusion-altering factors like…

Machine Learning · Computer Science 2026-01-30 Xiaolong Zhang , Jianwei Zhang , Xubo Song

Supramolecular chemistry has allowed the production, by self-assembly, of inorganic complexes with a [N x N] square matrix-like configuration of N^2 metal centers. Interest in these systems is driven by the potential applications in…

Strongly Correlated Electrons · Physics 2007-05-23 O. Waldmann

Expanding laser plasmas, produced by high energy laser radiation, possess both high thermal and magnetic field energy density. Characterization of such plasma is challenging but needed for understanding of its physical behaviour. Among all…

Fusion plasmas are highly sensitive to external magnetic perturbations which result in complex responses near a region known as the resonant layer. Past analytic descriptions of this phenomena used boundary layer theory in a simplified…

Plasma Physics · Physics 2026-04-14 Jace C. Waybright , Yeongsun Lee , Jong-Kyu Park

This paper describes the production and tests performed with the tungsten collimator prototype produced using laser powder bed fusion technology in a converging geometry. This prototype has been tested for being the anti-scatter grid for…