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This article describes Monte-Carlo algorithms for charged systems using constrained updates for the electric field. The method is generalized to treat inhomogeneous dielectric media, electrolytes via the Poisson-Boltzmann equation and…

Statistical Mechanics · Physics 2009-11-10 A. C. Maggs

Efficient modeling of dispersive materials via time-domain simulations of the Maxwell equations relies on the technique of auxiliary differential equations. In this approach, a material's frequency-dependent permittivity is represented via…

Understanding the dynamics of electric-double-layer (EDL) charging in porous media is essential for advancements in next-generation energy storage devices. Due to the high computational demands of direct numerical simulations and a lack of…

Chemical Physics · Physics 2023-09-04 Filipe Henrique , Pawel J. Zuk , Ankur Gupta

The field-circuit coupled simulation of switch-mode power converters with conventional time discretization is computationally expensive since very small time steps are needed to appropriately account for steep transients occurring inside…

Computational Engineering, Finance, and Science · Computer Science 2019-07-09 Andreas Pels , Herbert De Gersem , Ruth V. Sabariego , Sebastian Schöps

In this paper we present a model based on dynamics of the electrons in the plasma using a simplified Boltzmann equation coupled with a Poisson equation. The motivation arose to simulate active plasma resonance spectroscopy which is used for…

Numerical Analysis · Mathematics 2012-01-13 Juergen Geiser , Thomas Zacher

Electromagnetic particle simulation model has been formulated and verified for nonlinear processes of lower hybrid (LH) waves in fusion plasmas. Electron dynamics is described by the drift kinetic equation using either kinetic momentum or…

Plasma Physics · Physics 2017-10-06 J. Bao , Z. Lin , A. Kuley , Z. X. Wang

This article proposes a universal simulation platform for simulating systems undergoing duress. In other words, this paper introduces a total simulation package which includes a number of methods of simulating the flexibility of a given…

Optimization and Control · Mathematics 2017-10-20 Vu Hoang Minh , Tajwar Abrar Aleef , Usama Pervaiz , Yeman Brhane Hagos , Saed Khawaldeh

The precise engineering of electromagnetic couplings is paramount for constructing scalable and highfidelity superconducting quantum processors. While essential for orchestrating qubit operations, these couplings also present significant…

Quantum Physics · Physics 2025-08-12 Ebrahim Forati , Brandon W. Langley , Ani Nersisyan , Reza Molavi

Splitting algorithms are well-established in convex optimization and are designed to solve large-scale problems. Using such algorithms to simulate the behavior of nonlinear circuit networks provides scalable methods for the simulation and…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Amir Shahhosseini , Thomas Chaffey , Rodolphe Sepulchre

At high pressure electric discharges typically grow as thin, elongated filaments. In a numerical simulation this large aspect ratio should ideally translate into a narrow, cylindrical computational domain that envelops the discharge as…

Plasma Physics · Physics 2018-02-20 Alejandro Malagón-Romero , Alejandro Luque

The negative power absorption in low pressure plasmas is investigated by means of an analyical model which couples Boltzmann's equation and the quasi-stationary Maxwell's equation. Exploiting standard Hilbert space methods an explicit…

Plasma Physics · Physics 2017-01-19 Jan Trieschmann , Thomas Mussenbrock

We investigate the nonlinear interaction between a relativistically strong laser beam and a plasma in the quantum regime. The collective behavior of the electrons is modeled by a Klein-Gordon equation, which is nonlinearly coupled with the…

Plasma Physics · Physics 2011-07-26 Bengt Eliasson , Padma K. Shukla

The effects of the discharge voltage on the formation and nature of electric field transients in a symmetric, collisionless, very high frequency, capacitively coupled plasma are studied using a self-consistent particle-in-cell (PIC)…

Plasma Physics · Physics 2019-07-24 Sarveshwar Sharma , N. Sirse , A. Sen , J. S. Wu , M. M. Turner

Particle-based simulations of the Vlasov equation typically require a large number of particles, which leads to a high-dimensional system of ordinary differential equations. Solving such systems is computationally very expensive, especially…

Computational Physics · Physics 2023-07-19 Tomasz M. Tyranowski , Michael Kraus

Electrical characterization of a nonthermal radio-frequency atmospheric-pressure microplasma in a parallel plate configuration has shown that reducing electrode gap into the submillimeter range increases current and power density at a…

Plasma Physics · Physics 2010-03-16 Andrew J. Wagner , Davide Mariotti , Konstantin J. Yurchenko , Tuhin K. Das

In this work, an implicit scheme for particle-in-cell/Fourier electromagnetic simulations is developed and applied to studies of Alfv\'en waves in one dimension and three-dimensional tokamak plasmas. An analytical treatment is introduced to…

Plasma Physics · Physics 2021-02-03 Z. X. Lu , G. Meng , M. Hoelzl , Ph. Lauber

The boundary sheath of a low temperature plasma comprises typically only a small fraction of its volume but is responsible for many aspects of the macroscopic behavior. A thorough understanding of the sheath dynamics is therefore of…

Plasma Physics · Physics 2013-06-10 A. E. Elgendy , H. Hatefinia , T. Hemke , M. Shihab , A. Wollny , D. Eremin , T. Mussenbrock , R. P. Brinkmann

Pulsar electrodynamics is reviewed emphasizing the role of the inductive electric field in an oblique rotator and the incomplete screening of its parallel component by charges, leaving `gaps' with $E_\parallel\ne0$. The response of the…

High Energy Astrophysical Phenomena · Physics 2016-04-27 D. B. Melrose , R. Yuen

In this paper, we propose an efficient parallelization strategy for boundary element method (BEM) solvers that perform the electromagnetic analysis of structures with lossy conductors. The proposed solver is accelerated with the adaptive…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-30 Damian Marek , Shashwat Sharma , Piero Triverio

Continuum kinetic simulations of plasmas, where the distribution function of the species is directly discretized in phase-space, permits fully kinetic simulations without the statistical noise of particle-in-cell methods. Recent advances in…

Computational Physics · Physics 2019-06-18 Petr Cagas , Ammar Hakim , Bhuvana Srinivasan
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