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In this paper the normal collision of spherical particles is investigated. The particle interaction is modelled in a macroscopic way using the Hertzian contact force with additional linear damping. The goal of the work is to develop an…

流体动力学 · 物理学 2016-03-02 Shouryya Ray , Tobias Kempe , Jochen Fröhlich

Accurate reduced models of turbulence are desirable to facilitate the optimization of magnetic-confinement fusion reactor designs. As a first step toward higher-dimensional turbulence applications, we use reservoir computing, a…

等离子体物理 · 物理学 2025-10-21 Nathaniel Barbour , William Dorland , Ian G. Abel , Matt Landreman

A method of solution of the collisionless Vlasov equation, by following collisionless phase point trajectories in phase space, is presented. It is shown that by increasing the number of phase points, without enhancing the resolution of…

等离子体物理 · 物理学 2010-11-17 H. Abbasi , M. H. Jenab , H. Hakimi Pajouh

A careful study of plasma-material interactions is essential to understand and improve the operation of devices where plasma contacts a wall. Key contributions of this work include (i) novel continuum kinetic algorithms with novel boundary…

等离子体物理 · 物理学 2019-06-17 Petr Cagas

In this paper, we study the Vlasov-Poisson-Landau Equations on $\mathbb{T}^3\times \mathbb{R}^3$ with small collision frequency $\nu\ll 1$. We prove that for $\nu$-independent perturbations of the global Maxwellians in Gevrey-$2_-$,…

偏微分方程分析 · 数学 2025-08-26 Jacob Bedrossian , Weiren Zhao , Ruizhao Zi

Kinetic turbulence in magnetized space plasmas has been extensively studied via in situ observations, numerical simulations and theoretical models. In this context, a key point concerns the formation of coherent current structures and their…

Landau-damped oscillations in collisionless plasmas, described by van Kampen and Case, are quasi-modes, representing a continuous superposition of singular eigenfunctions, not true eigenmodes. Recent work by Ng et al. shows that even rare…

等离子体物理 · 物理学 2025-06-24 Evgeny V. Polyachenko , Ilia G. Shukhman

Comparisons are presented between a hybrid Vlasov-Maxwell (HVM) simulation of turbulence in a collisionless plasma and fluid reductions. These include Hall-magnetohydrodynamics (HMHD) and Landau fluid (LF) or FLR-Landau fluid (FLR-LF)…

等离子体物理 · 物理学 2018-05-23 D. Perrone , T. Passot , D. Laveder , F. Valentini , P. L. Sulem , I. Zouganelis , P. Veltri , S. Servidio

Coulomb collisions in particle simulations for weakly coupled plasmas are modeled by the Landau-Fokker-Planck equation, which is typically solved by Monte-Carlo (MC) methods. One of the main disadvantages of MC is the timestep accuracy…

计算物理 · 物理学 2025-01-03 G. Chen , A. J. Stanier , L. Chacón , S. E. Anderson , B. Philip

We present a numerical framework for the simulation of collisional plasma dynamics, based on a coupling between Direct Simulation Monte Carlo (DSMC) and Particle-in-Cell (PIC) methods for the Vlasov-Maxwell-Landau system. The approach…

计算物理 · 物理学 2025-10-28 Andrea Medaglia , Lorenzo Pareschi , Mattia Zanella

Kinetic plasma processes, such as magnetic reconnection, collisionless shocks, and turbulence, are fundamental to the dynamics of astrophysical and laboratory plasmas. Simulating these processes often requires particle-in-cell (PIC)…

等离子体物理 · 物理学 2025-06-11 S. R. Totorica , K. V. Lezhnin , W. Fox

The numerical solutions of nonlocal and local Boltzmann kinetic equations for the simulation of peripheral and central heavy ion reactions are compared. The experimental finding of enhancement of mid-rapidity matter shows the necessity to…

核理论 · 物理学 2007-05-23 Klaus Morawetz

Using two-dimensional hybrid-kinetic simulations, we explore the nonlinear "interruption" of standing and traveling shear-Alfv\'en waves in collisionless plasmas. Interruption involves a self-generated pressure anisotropy removing the…

等离子体物理 · 物理学 2017-12-14 J. Squire , M. W. Kunz , E. Quataert , A. A. Schekochihin

Kinetic plasma simulations solve the Vlasov-Poisson or Vlasov-Maxwell equations to evolve scalar-variable distribution functions in position-velocity phase space and vector-variable electromagnetic fields in physical space. The…

分布式、并行与集群计算 · 计算机科学 2024-10-17 Andrew Ho , Genia Vogman

In this article, we study a collisionless kinetic model for plasmas in the neighborhood of a cylindrical metallic Langmuir probe. This model consists in a bi-species Vlasov-Poisson equation in a domain contained between two cylinders with…

偏微分方程分析 · 数学 2022-02-11 Mehdi Badsi , Ludovic Godard-Cadillac

We explore the nonlinear response of plasmonic materials driven by ultrashort pulses of electromagnetic radiation with temporal duration of few femtoseconds and high peak intensity. By developing the Fokker-Planck-Landau theory of electron…

光学 · 物理学 2018-08-14 Andrea Marini , Alessandro Ciattoni , Claudio Conti

We study the linearized Vlasov equations and the linearized Vlasov-Fokker-Planck equations in the weakly collisional limit in a uniform magnetic field. In both cases, we consider periodic confinement and Maxwellian (or close to Maxwellian)…

偏微分方程分析 · 数学 2020-01-08 Jacob Bedrossian , Fei Wang

Collisions are crucial in governing particle and energy transport in plasmas confined in a magnetic mirror trap. Modern gyrokinetic codes model transport in magnetic mirrors, but some utilize approximate model collision operators. This…

等离子体物理 · 物理学 2025-05-07 Maxwell H. Rosen , Wrick Sengupta , Ian Ochs , Felix Parra Diaz , Gregory W. Hammett

A kinetic equation which combines the quasiparticle drift of Landau's equation with a dissipation governed by a nonlocal and noninstantaneous scattering integral in the spirit of Enskog corrections is discussed. Numerical values of the…

核理论 · 物理学 2009-10-31 Klaus Morawetz , Pavel Lipavský , Václav Špička

We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow map is evolved numerically and exponential resolution in…

数值分析 · 数学 2024-05-14 Philipp Krah , Xi-Yuan Yin , Julius Bergmann , Jean-Christophe Nave , Kai Schneider