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Time-centered, hence second-order, methods for integrating the relativistic momentum of charged particles in an electromagnetic field are derived. A new method is found by averaging the momentum before use in the magnetic rotation term, and…

Plasma Physics · Physics 2017-05-24 Adam V. Higuera , John R. Cary

We present a new, high-performance coupled electrodynamics-micromagnetics solver for full physical modeling of signals in microelectronic circuitry. The overall strategy couples a finite-difference time-domain (FDTD) approach for Maxwell's…

Computational Physics · Physics 2021-03-25 Zhi Yao , Revathi Jambunathan , Yadong Zeng , Andrew Nonaka

In this paper, we propose a linearized finite element method (FEM) for solving the cubic nonlinear Schr\"{o}dinger equation with wave operator. In this method, a modified leap-frog scheme is applied for time discretization and a Galerkin…

Numerical Analysis · Mathematics 2019-02-25 Wentao Cai , Dongdong He , Kejia Pan

We describe a charge-conserving scatter-gather algorithm for particle-in-cell simulations on unstructured grids. Charge conservation is obtained from first principles, i.e., without the need for any post-processing or correction steps. This…

Numerical Analysis · Mathematics 2016-05-04 Haksu Moon , Fernando L. Teixeira , Yuri A. Omelchenko

We take issue with the conclusions in the recent publication by Savard et al. In the study, the authors implement a fully nonlinear charge- and energy-conserving implicit particle-in-cell method (ECC-IPIC), and use it to study the impact of…

Plasma Physics · Physics 2026-03-04 Luis Chacon , Guangye Chen , Lee Ricketson

This paper proposes a charge-conserving, variational, spatio-temporal discretization for the drift-kinetic Vlasov-Maxwell system, utilizing finite-elements for the electromagnetic fields and the particle-in-cell approach for the Vlasov…

Plasma Physics · Physics 2019-10-09 Eero Hirvijoki

Coherent or exact equations of motion for a post-Newtonian Lagrangian formalism are the Euler-Lagrange equations without any terms truncated. They naturally conserve energy {and} angular momentum. Doubling the phase-space variables of…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Guifan Pan , Xin Wu , Enwei Liang

The simulation of problems in kinetic plasma physics are often challenging due to strongly coupled phenomena across multiple scales. In this work, we propose a wavelet-based coarse-grained numerical scheme, based on the framework of…

Computational Physics · Physics 2016-10-05 Paul Cazeaux , Jan S. Hesthaven

This paper discusses temporally continuous and discrete forms of the speed-limited particle-in-cell (SLPIC) method first treated by Werner et al. [Phys. Plasmas 25, 123512 (2018)]. The dispersion relation for a 1D1V electrostatic plasma…

Plasma Physics · Physics 2021-08-31 Thomas G. Jenkins , Gregory R. Werner , John R. Cary

We describe an implementation of a particle physics module available for the PLUTO code, appropriate for the dynamical evolution of a plasma consisting of a thermal fluid and a non-thermal component represented by relativistic charged…

High Energy Astrophysical Phenomena · Physics 2018-05-23 A. Mignone , G. Bodo , B. Vaidya , G. Mattia

We present a novel structure-preserving framework for solving the Vlasov-Poisson-Landau system of equations using a particle in cell (PIC) discretization combined with discrete gradient time integrators. The Vlasov-Poisson-Landau system is…

Plasma Physics · Physics 2026-02-16 Daniel S. Finn , Joseph V. Pusztay , Matthew G. Knepley , Mark F. Adams

In this paper we present a novel approach to FEL simulations based on the decomposition of the electromagnetic field in a finite number of radiation modes. The evolution of each mode amplitude is simply determined by energy conservation.…

Accelerator Physics · Physics 2020-11-18 A. Fisher , P. Musumeci , S. B. Van der Geer

The gravitational memory effect and its electromagnetic (EM) analog are potential probes in the strong gravity regime. In the literature, this effect is derived for static observers at asymptotic infinity. While this is a physically…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Susmita Jana , S. Shankaranarayanan

We design and develop a new Particle-in-Cell (PIC) method for plasma simulations using Deep-Learning (DL) to calculate the electric field from the electron phase space. We train a Multilayer Perceptron (MLP) and a Convolutional Neural…

Plasma Physics · Physics 2021-07-07 Xavier Aguilar , Stefano Markidis

This article is devoted to the shape optimization of the internal structure of an electric motor, and more precisely of the arrangement of air and ferromagnetic material inside the rotor part with the aim to increase the torque of the…

Optimization and Control · Mathematics 2024-02-13 Alessio Cesarano , Charles Dapogny , Peter Gangl

The dynamics of biomolecules are crucial for our understanding of their functioning in living systems. However, current 3D imaging techniques, such as cryogenic electron microscopy (cryo-EM), require freezing the sample, which limits the…

Quantitative Methods · Quantitative Biology 2023-08-24 Enze Ye , Yuhang Wang , Hong Zhang , Yiqin Gao , Huan Wang , He Sun

A Time Projection Chamber (TPC) is an ideal device for the detection of charged particle tracks in a large volume covering a solid angle of almost $4\pi$. The high density of hits on a given particle track facilitates the task of pattern…

This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of the medium, then it scatters every pair of incident EM…

Analysis of PDEs · Mathematics 2016-11-15 Hongyu Liu , Jingni Xiao

A fundamental limit to the application of Time Projection Chambers (TPCs) in high-rate experiments is the accumulation of slowly drifting ions in the active gas volume, which compromises the homogeneity of the drift field and hence the…

Instrumentation and Detectors · Physics 2012-09-05 F. V. Böhmer , M. Ball , S. Dørheim , C. Höppner , B. Ketzer , I. Konorov , S. Neubert , S. Paul , J. Rauch , M. Vandenbroucke

This work represents an extension of mesoscale particle-based modeling of electrophoretic deposition (EPD), which has relied exclusively on pairwise interparticle interactions described by Derjaguin-Landau-Verwey-Overbeek (DLVO) theory.…