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This paper proposes a novel approach for learning a data-driven quadratic manifold from high-dimensional data, then employing this quadratic manifold to derive efficient physics-based reduced-order models. The key ingredient of the approach…

Numerical Analysis · Mathematics 2022-12-29 Rudy Geelen , Stephen Wright , Karen Willcox

We present a one-dimensional (1-D) model composed of aligned, electrostatically interacting charged disks, conceived in order to address in a computable model the validity of the Bogoliubov assumption on the decay of particle correlations…

Plasma Physics · Physics 2024-10-08 Francesco Pegoraro , Philip J. Morrison , Davide Manzini , Francesco Califano

Understanding electron energy dynamics in low-temperature plasmas such as capacitively coupled plasmas (CCPs), including energy absorption, conversion, transport, and dissipation, is essential for interpreting discharge physics and process…

Plasma Physics · Physics 2026-01-23 Jianxiong Yao , Zeduan Zhang , Feng He , Jinsong Miao , Jiting Ouyang , Bocong Zheng

Astrophysical plasmas in accretion discs are usually treated in the framework of fluid or MHD approaches but there are some situations where these treatments become inadequate and one needs to revert to the more fundamental underlying…

High Energy Astrophysical Phenomena · Physics 2012-01-10 C. Cremaschini , J. C. Miller , M. Tessarotto

A collisionless kinetic plasma model may often be cast as an infinite-dimensional noncanonical Hamiltonian system. I show that, when this is the case, the model can be discretized in space and particles while preserving its Hamiltonian…

Plasma Physics · Physics 2017-04-05 J. W. Burby

Computer aided engineering of multi-time-scale plasma systems which exhibit a quasi-steady state solution are challenging due to the large number of time steps required to reach convergence. Machine learning techniques combined with…

Plasma Physics · Physics 2025-10-03 Andrew T. Powis , Domenica Corona Rivera , Alexander Khrabry , Igor D. Kaganovich

A reduced kinetic method (RKM) with a first-principle collision operator is introduced in a 1D2V planar geometry and implemented in a computationally inexpensive code to investigate non-local ion heat transport in multi-species plasmas. The…

Plasma Physics · Physics 2024-03-07 Nicholas Mitchell , David Chapman , Christopher McDevitt , Martin Read , Grigory Kagan

The problem of the linear microtearing mode in a slab magnetised plasma, and its connection to kinetic reconnecting modes, is addressed. Electrons are described using a novel hybrid fluid-kinetic model that captures electron heating, ions…

Plasma Physics · Physics 2015-06-23 A Zocco , N F Loureiro , D Dickinson , R Numata , C M Roach

One important problem in constructing the reduced dynamics of molecular systems is the accurate modeling of the non-Markovian behavior arising from the dynamics of unresolved variables. The main complication emerges from the lack of scale…

Computational Physics · Physics 2023-02-01 Zhiyuan She , Pei Ge , Huan Lei

A brief review of the existing kinetic-magnetohydrodynamic(MHD) hybrid models for the alpha particle physics in burning plasma demonstrates that the pressure-coupling scheme is equivalent to the current-coupling scheme only in a specific…

Plasma Physics · Physics 2019-11-06 Modhuchandra Laishram , Ping Zhu , Yawei Hou

This work deals with the modeling of plasmas, which are charged-particle fluids. Thanks to machine leaning, we construct a closure for the one-dimensional Euler-Poisson system valid for a wide range of collision regimes. This closure, based…

Numerical Analysis · Mathematics 2020-11-13 Léo Bois , Emmanuel Franck , Laurent Navoret , Vincent Vigon

We consider a non reactive multi component gas mixture.We propose a class of models, which can be easily generalized to multiple species. The two species mixture is modelled by a system of kinetic BGK equations featuring two interaction…

Analysis of PDEs · Mathematics 2018-06-26 Christian Klingenberg , Marlies Pirner , Gabriella Puppo

Kinetic simulations excel at capturing microscale plasma physics phenomena with high accuracy, but their computational demands make them impractical for modeling large-scale space and astrophysical systems. In this context, we build a…

Plasma Physics · Physics 2025-09-05 Simin Shekarpaz , Chuanfei Dong , Ziyu Huang

Despite advancements in high-performance computing and modern numerical algorithms, computational cost remains prohibitive for multi-query kinetic plasma simulations. In this work, we develop data-driven reduced-order models (ROMs) for…

Numerical Analysis · Mathematics 2025-02-05 Ping-Hsuan Tsai , Seung Whan Chung , Debojyoti Ghosh , John Loffeld , Youngsoo Choi , Jonathan L. Belof

We study, globaly in time, the velocity distribution $f(v,t)$ of a spatially homogeneous system that models a system of electrons in a weakly ionized plasma, subjected to a constant external electric field $E$. The density $f$ satisfies a…

Plasma Physics · Physics 2009-10-30 E. Carlen , R. Esposito , J. L. Lebowitz , R. Marra , A. Rokhlenko

Ammonia is a promising zero-carbon fuel for industrial and transport applications, but its combustion is hindered by flame instabilities, incomplete oxidation, and the formation of nitrogen oxides. Accurate and detailed kinetic models are…

Thermal plasma properties play a critical role in plasma simulations and plasma-related applications. However, their strong nonlinear dependence on temperature, pressure, and gas composition makes accurate and efficient evaluation…

Plasma Physics · Physics 2026-05-01 Zuo Wang , Linlin Zhong

The nonlinear evolution of collisionless plasmas is typically a multi-scale process where the energy is injected at large, fluid scales and dissipated at small, kinetic scales. Accurately modelling the global evolution requires to take into…

Collisions are an important dissipation mechanism in plasmas. In one-dimensional modelling, a commonly used collision operator is the Lenard-Bernstein operator, or its modified energy- and momentum-conserving counterpart. When approximating…

Plasma Physics · Physics 2024-02-02 Sandra Jeyakumar , Michael Kraus , Matthew Hole , David Pfefferlé

Two kinetic models are proposed for high-temperature rarefied (or non-equilibrium) gas flows with radiation. One of the models uses the Boltzmann collision operator to model the translational motion of gas molecules, which has the ability…

Fluid Dynamics · Physics 2023-06-28 Qi Li , Jianan Zeng , Lei Wu