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Related papers: From molecular dynamics to kinetic models: data-dr…

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We introduce a data-driven approach to learn a generalized kinetic collision operator directly from molecular dynamics. Unlike the conventional (e.g., Landau) models, the present operator takes an anisotropic form that accounts for a second…

Computational Physics · Physics 2025-04-08 Yue Zhao , Joshua W. Burby , Andrew Christlieb , Huan Lei

We present a generalized, data-driven collisional operator for one-component plasmas, learned from molecular dynamics simulations, to extend the collisional kinetic model beyond the weakly coupled regime. The proposed operator features an…

Numerical Analysis · Mathematics 2025-10-20 Yue Zhao , Huan Lei

We propose a methodology to infer collision operators from phase space data of plasma dynamics. Our approach combines a differentiable kinetic simulator, whose core component in this work is a differentiable Fokker-Planck solver, with a…

Plasma Physics · Physics 2026-01-19 Diogo D. Carvalho , Pablo J. Bilbao , Warren B. Mori , Luis O. Silva , E. Paulo Alves

Collisional and stochastic wave-particle dynamics in plasmas far from equilibrium are complex, temporally evolving, stochastic processes which are challenging to model. In this work, we extend previous methods coupling differentiable…

Plasma Physics · Physics 2026-04-27 Diogo D. Carvalho , Luis O. Silva , E. Paulo Alves

A new form of the model collision operator for a Boltzmann gas of hard spheres and Coulomb plasma is derived. One-component and many-component systems are considered. The collision operator proposed takes properly into account the…

Statistical Mechanics · Physics 2014-09-23 Viacheslav V. Belyi

A three species one-dimensional kinetic model is presented for a spatially homogeneous weakly ionized plasma subjected to the action of a time varying electric field. Planar geometry is assumed, which means that the plasma dynamics evolves…

Plasma Physics · Physics 2016-06-21 J. Gonzalez , J. M. Donoso , S. P. Tierno

The linearized model collision operator for multiple species plasmas given by H. Sugama, T.-H. Watanabe, and M. Nunami [Phys.\ Plasmas {\bf 16}, 112503 (2009)] is improved to be properly applicable up to the highly collisional regime. The…

Plasma Physics · Physics 2020-01-08 Hideo Sugama , Seikichi Matsuoka , Shinsuke Satake , Masanori Nunami , Tomohiko Watanabe

Coarse-grained modeling in molecular simulations serves not only to extend accessible time and length scales beyond atomistic limits, but also to reduce high-dimensional chemical data to low-dimensional representations that expose the…

Chemical Physics · Physics 2026-05-19 Michael N. Sakano , Alejandro Strachan

At the core of some of the most important problems in plasma physics -- from controlled nuclear fusion to the acceleration of cosmic rays -- is the challenge to describe nonlinear, multi-scale plasma dynamics. The development of reduced…

Plasma Physics · Physics 2022-09-13 E. Paulo Alves , Frederico Fiuza

Plasma supports collective modes and particle-wave interactions that leads to complex behavior in inertial fusion energy applications. While plasma can sometimes be modeled as a charged fluid, a kinetic description is useful towards the…

Plasma Physics · Physics 2022-11-28 Archis S. Joglekar , Alexander G. R. Thomas

This paper proposes a novel numerical integrator for modeling multispecies Coulomb collisions in kinetic plasmas. The proposed scheme provides an energy-, momentum-, and positivity-preserving particle discretization of the nonlinear Landau…

Plasma Physics · Physics 2022-12-28 Filippo Zonta , Joseph V. Pusztay , Eero Hirvijoki

This work explores the application of deep operator learning principles to a problem in statistical physics. Specifically, we consider the linear kinetic equation, consisting of a differential advection operator and an integral collision…

Numerical Analysis · Mathematics 2024-02-27 Jae Yong Lee , Steffen Schotthöfer , Tianbai Xiao , Sebastian Krumscheid , Martin Frank

A gyrokinetic Coulomb collision operator is derived, which is particularly useful to describe the plasma dynamics at the periphery region of magnetic confinement fusion devices. The derived operator is able to describe collisions occurring…

Plasma Physics · Physics 2019-11-05 R. Jorge , B. J. Frei , P. Ricci

A kinetic approach for the evolution of ultracold neutral plasmas including interionic correlations and the treatment of ionization/excitation and recombination/deexcitation by rate equations is described in detail. To assess the…

Atomic Physics · Physics 2009-11-10 T. Pohl , T. Pattard , J. M. Rost

A drift-kinetic model to describe the plasma dynamics in the scrape-off layer region of tokamak devices at arbitrary collisionality is derived. Our formulation is based on a gyroaveraged Lagrangian description of the charged particle…

Plasma Physics · Physics 2019-04-18 R. Jorge , P. Ricci , N. F. Loureiro

Accurate and efficient plasma models are essential to understand and control experimental devices. Existing magnetohydrodynamic or kinetic models are nonlinear, computationally intensive, and can be difficult to interpret, while often only…

Plasma Physics · Physics 2020-03-04 Alan A. Kaptanoglu , Kyle D. Morgan , Chris J. Hansen , Steven L. Brunton

Deriving governing equations of complex physical systems based on first principles can be quite challenging when there are certain unknown terms and hidden physical mechanisms in the systems. In this work, we apply a deep learning…

Plasma Physics · Physics 2022-12-06 Wenjie Cheng , Haiyang Fu , Liang Wang , Chuanfei Dong , Yaqiu Jin , Mingle Jiang , Jiayu Ma , Yilan Qin , Kexin Liu

Magnetic reconnection (MR) plays a fundamental role in plasma dynamics under many different conditions, from space and astrophysical environments to laboratory devices. High-resolution in-situ measurements from space missions allow to study…

Coulomb collisions in plasmas are typically modeled using the Boltzmann collision operator, or its variants, which apply to weakly magnetized plasmas in which the typical gyroradius of particles significantly exceeds the Debye length.…

Plasma Physics · Physics 2020-11-04 Louis Jose , Scott D. Baalrud

In our previous work, numerical schemes for a simplified version of 3-wave kinetic equations, in which only the simple forward-cascade terms of the collision operators are kept, have been successfully designed, especially to capture the…

Numerical Analysis · Mathematics 2025-06-10 Steven Walton , Minh-Binh Tran
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