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Reduced fluid models for collisionless plasmas including electron inertia and finite Larmor radius corrections are derived for scales ranging from the ion to the electron gyroradii. Based either on pressure balance or on the…

Plasma Physics · Physics 2018-01-23 T. Passot , P. L. Sulem , E. Tassi

Fluid models offer crucial computational efficiency for plasma simulations, yet accurately capturing kinetic effects like Landau damping remains a fundamental challenge. While conventional closures (e.g., Hammett-Perkins and Hunana) are…

Plasma Physics · Physics 2026-04-30 Yong Sun , Shijia Chen , Minqing He , Sizhong Wu , Rui Cheng , Jie Yang , Lei Yang , Zhiyu Sun , Liangwen Chen , Hua Zhang

The susceptibility of timestepping algorithms to numerical instabilities is an important consideration when simulating partial differential equations (PDEs). Here we identify and analyze a pernicious numerical instability arising in…

Numerical Analysis · Mathematics 2025-03-28 Benjamin A. Hyatt , Daniel Lecoanet , Evan H. Anders , Keaton J. Burns

The dispersion relation of kinetic Alfv\'en wave in inertial regime is studied in a three component non-degenerate streaming plasma. A lin- ear dispersion relation using fluid- Vlasov equation for quantum plasma is also derived. The quantum…

Plasma Physics · Physics 2016-08-02 N. Rubab , G. Jaffer

An unstable one-dimensional Bernstein-Greene-Kruskal (BGK) mode has been studied through high-precision numerical simulations. The initial turbulent, periodic equilibrium state is obtained by solving a Vlasov-Poisson system for initially…

Plasma Physics · Physics 2025-12-15 Sofia Zanelli , Gabriele Celebre , Sergio Servidio , Francesco Valentini

One of the most striking properties of Kinetic Alfv\'en Waves (KAW) is that, unlike the also Alfv\'enic Electromagnetic Ion Cyclotron (EMIC) waves, these waves are right-hand polarized in the plasma frame. In particular, this signature…

Plasma Physics · Physics 2021-04-06 Pablo S. Moya , Iván Gallo-Méndez , Bea Zenteno-Quinteros

The 1D Vlasov-Poisson system is the simplest kinetic model for describing an electrostatic collisonless plasma, and the BGK waves are its famous exact steady solutions. They play an important role on the long time dynamics of a…

Analysis of PDEs · Mathematics 2017-04-26 Yan Guo , Zhiwu Lin

To simulate plasma phenomena, large-scale computational resources have been employed in developing high-precision and high-resolution plasma simulations. One of the main obstacles in plasma simulations is the requirement of computational…

Quantum Physics · Physics 2025-11-17 Hayato Higuchi , Yuki Ito , Kazuki Sakamoto , Keisuke Fujii , Akimasa Yoshikawa

A Kolmogorov-type cascade of Kelvin waves--the distortion waves on vortex lines--plays a key part in the relaxation of superfluid turbulence at low temperatures. We propose an efficient numeric scheme for simulating the Kelvin wave cascade…

Other Condensed Matter · Physics 2010-10-28 Evgeny Kozik , Boris Svistunov

A long-standing challenge encountered in modeling plasma dynamics is achieving practical Vlasov equation simulation in multiple spatial dimensions over large length and time scales. While direct multi-dimension Vlasov simulation methods…

Plasma Physics · Physics 2015-05-30 Harvey A. Rose , William Daughton

The dissipation mechanism of the magnetic energy in turbulent collisionless space and astrophysical plasmas is still not well understood. Its investigation requires efficient kinetic simulations of the energy transfer in collisionless…

Linear properties of kinetic Alfv\'{e}n waves (KAWs) and kinetic slow waves (KSWs) are studied in the framework of two-fluid magnetohydrodynamics. We obtain the wave dispersion relations that are valid in a wide range of the wave frequency…

Solar and Stellar Astrophysics · Physics 2014-09-16 J. S. Zhao , Y. Voitenko , M. Y. Yu , J. Y. Lu , D. J Wu

The kinetic description of relativistic plasmas in the presence of time-varying and spatially non-uniform electromagnetic fields is a fundamental theoretical issue both in astrophysics and plasma physics. This refers, in particular, to the…

High Energy Astrophysical Phenomena · Physics 2023-06-21 Claudio Cremaschini , Massimo Tessarotto , Zdeněk Stuchlík

A conservative scheme has been formulated and verified for gyrokinetic particle simulations of electromagnetic waves and instabilities in magnetized plasmas. An electron continuity equation derived from drift kinetic equation is used to…

Plasma Physics · Physics 2018-03-14 J. Bao , Z. Lin , Z. X. Lu

This paper aims at investigating the existence of localized stationary waves in the shallow subsurface whose constitutive behaviour is governed by the hyperbolic model, implying non-polynomial nonlinearity and strain-dependent shear…

A nonlinear Langmuir wave in the kinetic regime $k\lambda_D\gtrsim0.2$ may have a filamentation instability, where $k$ is the wavenumber and $\lambda_D$ is the Debye length. The nonlinear stage of that instability develops into the…

Plasma Physics · Physics 2017-04-26 Denis A. Silantyev , Pavel M. Lushnikov , Harvey A. Rose

The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of research. In this study, we take a closer look at the extended nonlocal Kadomtsev-Petviashvili (enKP) model through a systematic analysis of…

Pattern Formation and Solitons · Physics 2023-08-21 K. Sakkaravarthi , Sudhir Singh , N. Karjanto

Kinetic models provide highly accurate descriptions of plasma waves but involve complex integrals that are computationally expensive to solve. To facilitate a fluid-like treatment of the system, we propose rational approximations for both…

Plasma Physics · Physics 2025-08-13 Huasheng Xie

Running kinetic plasma physics simulations using grid-based solvers is very demanding both in terms of memory as well as computational cost. This is primarily due to the up to six-dimensional phase space and the associated unfavorable…

Computational Physics · Physics 2021-10-28 Lukas Einkemmer , Alexander Moriggl

Periodic waves are investigated in a system composed of a Kuramoto-Sivashinsky - Korteweg-de Vries (KS-KdV) equation, which is linearly coupled to an extra linear dissipative equation. The model describes, e.g., a two-layer liquid film…

Pattern Formation and Solitons · Physics 2009-11-07 Bao-Feng Feng , Boris A. Malomed , Takuji Kawahara