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A particle-in-cell algorithm is derived with a canonical Poisson structure in the formalism of finite element exterior calculus. The resulting method belongs to the class of gauge-compatible splitting algorithms, which exactly preserve…

Plasma Physics · Physics 2022-05-05 Alexander S. Glasser , Hong Qin

The distribution of the electric microfield at a charged particle moving in a two-component plasma is calculated. The theoretical approximations are obtained via the parameter integration technique and using the screened pair approximation…

Plasma Physics · Physics 2015-06-26 J. Ortner , I. Valuev , W. Ebeling

Electrostatic turbulence in weakly collisional, magnetized plasma can be interpreted as a cascade of entropy in phase space, which is proposed as a universal mechanism for dissipation of energy in magnetized plasma turbulence. When the…

Plasma Physics · Physics 2013-05-29 T. Tatsuno , W. Dorland , A. A. Schekochihin , G. G. Plunk , M. Barnes , S. C. Cowley , G. G. Howes

Use of explicit integration methods for power electronic circuits with ideal switch models significantly improves simulation speed. The PLECS package [1] has effectively used this idea; however, the implementation details involved in PLECS…

Computational Engineering, Finance, and Science · Computer Science 2024-06-19 Mahesh B. Patil

We propose an algorithm for encoding of linear kinetic plasma problems in quantum circuits. The focus is made on modeling electrostatic linear waves in one-dimensional Maxwellian electron plasma. The waves are described by the linearized…

Plasma Physics · Physics 2024-09-23 Ivan Novikau , Ilya Y. Dodin , Edward A. Startsev

A probabilistic method is derived for solution of ohmic circuit problems. It is compared to the standard approach, which is construction and solution of a set of coupled, linear equations manifesting Kirchhoff's laws. An example is made of…

Statistical Mechanics · Physics 2019-06-26 Clinton DeW. Van Siclen

We consider nonlinear electrical circuits for which we derive a port-Hamiltonian formulation. After recalling a framework for nonlinear port-Hamiltonian systems, we model each circuit component as an individual port-Hamiltonian system. The…

Optimization and Control · Mathematics 2020-10-28 Hannes Gernandt , Frédéric Haller , Timo Reis Arjan van der Schaft

Two-dimensional, electromagnetic particle-in-cell simulations are employed to study particle kinetics and power deposition in the skin layer when a Radio Frequency (RF) electromagnetic field penetrates into a background plasma. We identify…

Following requirements of the plasma processing industry for increasing throughput, capacitively coupled plasma reactors with large area electrodes driving by very high frequency sources have been proposed. However, such reactors with…

Plasma Physics · Physics 2015-10-13 D. Eremin

A nonlinear kinetic equation for nonrelativistic quantum plasma with electromagnetic interaction of particles is obtained in the Hartree's mean-field approximation. It is cast in a convenient form of Vlasov-Boltzmann-type equation with…

Plasma Physics · Physics 2011-11-30 Y. O. Tyshetskiy , S. V. Vladimirov , R. Kompaneets

In high-temperature plasma physics, a strong magnetic field is usually used to confine charged particles. Therefore, for studying the classical mathematical models of the physical problems it is needed to consider the effect of external…

Numerical Analysis · Mathematics 2023-10-11 Anjiao Gu , Yajuan Sun

We present a method for constructing multiphase excitations in the generally non-integrable system of warm fluid equations describing plasma oscillations. It is based on autoresonant excitation of nonlinear electron plasma waves by phase…

Plasma Physics · Physics 2022-11-04 Vadim R. Munirov , Lazar Friedland , Jonathan S. Wurtele

A detailed simple model is applied to study a high temperature plasma ball. It is assumed that the ions and delocalized electrons are distributed randomly throughout the charged plasma ball (extra/missing charge is assumed to be found in a…

Plasma Physics · Physics 2007-10-18 Yuri Kornyushin

We propose a theoretical ground for emissive capacitively coupled radio-frequency plasma sheath under low pressure. The rf sheath is assumed to be collisionless, and oscillates with external source. A known sinusoidal voltage instead of…

Plasma Physics · Physics 2020-11-25 Guang-Yu Sun , Han-Wei Li , An-Bang Sun , Yuan Li , Bai-Peng Song , Hai-Bao Mu , Xiao-Ran Li , Guan-Jun Zhang

This article addresses the importance of accurate characterization of plasma parameters for electromagnetic compatibility (EMC) purposes. Most of EMC issues involving plasma materials are obviously multi-physics problems (linking chemical,…

Plasma Physics · Physics 2019-02-20 P. Andre , G Faure , A Mahfouf , S. Lalléchère

We present the standard electromagnetic Particle-in-Cell method, starting from the discrete approximation of derivatives on a uniform grid. The application to second-order, centered, finite-difference discretization of the equations of…

Computational Physics · Physics 2020-08-18 J. L. Vay

Plasma accelerators utilize strong electric fields in plasma waves to accelerate charged particles, making them a compact alternative to radiofrequency technologies. Discharge capillaries are plasma sources used in plasma accelerator…

Many problems in astrophysics involve relativistic outflows. The plasma dynamics in these scenarios is critical to determine the conditions for the self-consistent evolution of the fields and particle acceleration. Advances in computer…

Astrophysics · Physics 2014-10-13 L. O. Silva

This paper develops a general approach to the derivation of the boundary conditions for hydrodynamic equations for charged and neutral plasma components. It includes both a well-known classical case for pure diffusion, and considers the…

Plasma Physics · Physics 2020-03-24 V. V. Gorin , A. A. Kudryavtsev , Jingfeng Yao , Chengxun Yuan , Zhongxiang Zhou

Symplectic integrators for Hamiltonian systems have been quite successful for studying few-body dynamical systems. These integrators are frequently derived using a formalism built on symplectic maps. There have been recent efforts to extend…

Plasma Physics · Physics 2017-05-10 Stephen D. Webb , Dan T. Abell , Nathan M. Cook , David L. Bruhwiler