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We describe a technique for solving the combined collisionless Boltzmann and Poisson equations in a discretised, or lattice, phase space. The time and the positions and velocities of `particles' take on integer values, and the forces are…

Astrophysics · Physics 2015-06-24 D. Syer , S. Tremaine

We study particle acceleration in strongly turbulent pair plasmas using novel 3D Particle-in-Cell simulations, featuring particle injection from an external heat bath and diffusive escape. We demonstrate the formation of steady-state,…

High Energy Astrophysical Phenomena · Physics 2025-07-10 Evgeny A. Gorbunov , Daniel Grošelj , Fabio Bacchini

We present a new solver for coupled nonlinear elliptic partial differential equations (PDEs). The solver is based on pseudo-spectral collocation with domain decomposition and can handle one- to three-dimensional problems. It has three…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Harald P. Pfeiffer , Lawrence E. Kidder , Mark A. Scheel , Saul A. Teukolsky

We use electromagnetic Particle-in-Cell codes to investigate the two-stream instability and Weibel instability when two beams of plasma collide head-on relativistically. We compare the dissipation of kinetic energies in the two cases. We…

Astrophysics · Physics 2008-03-11 Orestes P. Hastings , Edison Liang

We analyze the classical equations of motion for a particle moving in the presence of a static magnetic field applied in the $ z $ direction, which varies as $ {1\over{x^2}} $. We find the symmetries through Lie's method of group analysis.…

Mathematical Physics · Physics 2007-05-23 Karmadeva Maharana

We propose a novel deterministic particle method to numerically approximate the Landau equation for plasmas. Based on a new variational formulation in terms of gradient flows of the Landau equation, we regularize the collision operator to…

Analysis of PDEs · Mathematics 2020-05-26 Jose A. Carrillo , Jingwei Hu , Li Wang , Jeremy Wu

Over the past decades, multiple gyrokinetic codes have shown to be able to simulate turbulence and associated transport in the core of Tokamak devices. However, their application to the edge and scrape-off layer (SOL) region presents…

A new model to study the dynamics of relativistic quantum plasmas using the quantum electrodynamical (QED) approach has been constructed to analyze the quantum effects, relativistic corrections, and electromagnetic interactions. Considering…

Plasma Physics · Physics 2025-04-17 Priya Mishra , Punit Kumar

This work presents a unified fluid modeling framework for reacting flows coupled with nonthermal plasmas (NTPs). Building upon the gas-plasma kinetics solver, ChemPlasKin, and the CFD library, OpenFOAM, the integrated solver, reactPlasFOAM,…

Computational Physics · Physics 2025-08-19 Xiao Shao , Deanna A. Lacoste , Hong G. Im

Plasma turbulence is studied via direct numerical simulations in a two-dimensional spatial geometry. Using a hybrid Vlasov-Maxwell model, we investigate the possibility of a velocity-space cascade. A novel theory of space plasma turbulence…

Plasma Physics · Physics 2018-08-01 O. Pezzi , S. Servidio , D. Perrone , F. Valentini , L. Sorriso-Valvo , A. Greco , W. H. Matthaeus , P. Veltri

We study the existence of stable axially and spherically symmetric plasma structures on the basis of the new nonlinear Schrodinger equation (NLSE) accounting for nonlocal electron nonlinearities. The numerical solutions of NLSE having the…

Plasma Physics · Physics 2015-03-17 Maxim Dvornikov

Many plasmas of interest to the astrophysical and fusion communities are weakly collisional. In such plasmas, small scales can develop in the distribution of particle velocities, potentially affecting observable quantities such as turbulent…

Plasma Physics · Physics 2015-05-13 Michael Barnes , William Dorland , Tomoya Tatsuno

In this paper, we present splitting methods that are based on iterative schemes and applied to plasma simulations. The motivation arose of solving the Coulomb collisions, which are modeled by nonlinear stochastic differential equations. We…

Numerical Analysis · Mathematics 2017-06-22 Juergen Geiser

Simulating plasmas in the Hall-MagnetoHydroDynamics (Hall-MHD) regime represents a valuable {approach for the investigation of} complex non-linear dynamics developing in astrophysical {frameworks} and {fusion machines}. Taking into account…

Heliospheric plasmas require multi-scale and multi-physics considerations. On one hand, MHD codes are widely used for global simulations of the solar-terrestrial environments, but do not provide the most elaborate physical description of…

Computational Physics · Physics 2020-12-09 S. P. Moschou , I. V. Sokolov , O. Cohen , G. Toth , J. J. Drake , Z. Huang , C. Garraffo , J. D. Alvarado-Gómez , T. Gombosi

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

We present a Vlasov-DArwin numerical code (ViDA) specifically designed to address plasma physics problems, where small-scale high accuracy is requested even during the non linear regime to guarantee a clean description of the plasma…

For a class of partial differential algebraic equations (PDAEs) of quasi-linear type which include nonlinear terms of convection type a possibility to determine a time and spatial index is considered. As a typical example we investigate an…

Numerical Analysis · Mathematics 2013-03-19 Wenfried Lucht , Kristian Debrabant

Eulerian electrostatic kinetic simulations of unmagnetized plasmas (kinetic electrons and motionless protons) with high-frequency equilibrium perturbations have been employed to investigate the phase space free energy transfer across…

Plasma Physics · Physics 2023-10-12 G. Celebre , S. Servidio , F. Valentini

A quantum kinetic theory for correlated charged-particle systems in strong time-dependent electromagnetic fields is developed. Our approach is based on a systematic gauge-invariant nonequilibrium Green's functions formulation. Extending our…

Statistical Mechanics · Physics 2015-06-25 M. Bonitz , Th. Bornath , D. Kremp , M. Schlanges , W. D. Kraeft
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