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Validity of fluid models breaks down for non-thermal or weakly collisional plasmas which often occur e.g. in the solar wind. In these regimes one has to resort to modelling through the first-principle Vlasov-Maxwell system, but its…

Plasma Physics · Physics 2025-12-01 Rostislav-Paul Wilhelm , Fabio Bacchini

Many phenomena in collisionless plasma physics require a kinetic description. The evolution of the phase space density can be modeled by means of the Vlasov equation, which has to be solved numerically in most of the relevant cases. One of…

Plasma Physics · Physics 2017-02-02 T. Trost , S. Lautenbach , R. Grauer

We consider a three-dimensional kinetic model for a two species plasma consisting of electrons and ions confined by an external nonconstant magnetic field. Then we derive a kinetic-fluid model when the mass ratio $m_e/m_i$ tends to zero.…

Analysis of PDEs · Mathematics 2026-01-08 Maxime Herda

In the present contribution, we derive from kinetic theory a unified fluid model for multicomponent plasmas by accounting for the electromagnetic field influence. We deal with a possible thermal nonequilibrium of the translational energy of…

Plasma Physics · Physics 2011-03-07 Benjamin Graille , Thierry E. Magin , Marc Massot

Enskog-Vlasov equation is currently the most sophisticated kinetic model for describing non-equilibrium evaporative flows. While it enables more efficient simulations than the molecular dynamics (MD) methods, its accuracy in reproducing the…

Soft Condensed Matter · Physics 2026-03-10 Shaokang Li , Livio Gibelli , Yonghao Zhang

This paper considers magnetohydrodynamics (MHD) and some of its applications from the perspective of differential geometry, considering the dynamics of an ideal fluid flow and magnetic field on a general three-dimensional manifold, equipped…

Fluid Dynamics · Physics 2023-07-26 Andrew D. Gilbert , Jacques Vanneste

The dynamics of plasmas are governed by a set of non-linear differential equations which remain challenging to solve directly for large 2D and 3D problems. Here we investigate how tensor networks could be applied to plasmas described by the…

Plasma Physics · Physics 2025-12-19 Ryan J. J. Connor , Preetma Soin , Callum W. Duncan , Andrew J. Daley

Microfluidic devices manufactured from soft polymeric materials have emerged as a paradigm for cheap, disposable and easy-to-prototype fluidic platforms for integrating chemical and biological assays and analyses. The interplay between the…

Soft Condensed Matter · Physics 2021-11-25 Ivan C. Christov

Plasmas in strong magnetic fields have been mainly studied in two distinct limiting cases--that of weak and strong nonideality with very different physical properties. While the former is well described by the familiar theory of Braginskii,…

Plasma Physics · Physics 2021-12-23 Hanno Kählert , Michael Bonitz

We propose in this work the first symmetric hyperbolic system of conservation laws to describe viscoelastic flows of Maxwell fluids, i.e. fluidswith memory that are characterized by one relaxation-time parameter. Precisely, the system of…

Numerical Analysis · Mathematics 2019-08-12 Sébastien Boyaval

This work describes a new 1D hybrid approach for modeling atmospheric pressure discharges featuring complex chemistry. In this approach electrons are described fully kinetically using Particle-In-Cell/Monte-Carlo (PIC/MCC) scheme, whereas…

Plasma Physics · Physics 2016-01-20 Denis Eremin , Torben Hemke , Thomas Mussenbrock

The Vlasov-Maxwell equations possess a Hamiltonian structure expressed in terms of a Hamiltonian functional and a functional bracket. In the present paper, the transformation ("lift") of the Vlasov-Maxwell bracket induced by the dynamical…

Plasma Physics · Physics 2016-12-21 A. J. Brizard , P. J. Morrison , J. W. Burby , L. de Guillebon , M. Vittot

According to magnetohydrodynamics (MHD), the encounter of two collisional magnetized plasmas at high velocity gives rise to shock waves. Investigations conducted so far have found that the same conclusion still holds in the case of…

Plasma Physics · Physics 2017-05-24 Antoine Bret , Asaf Pe'er , Lorenzo Sironi , Aleksander Sadowski , Ramesh Narayan

A minimal model for magnetic reconnection and, generally, low-frequency dynamics in low-beta plasmas is proposed. The model combines analytical and computational simplicity with physical realizability: it is a rigorous limit of gyrokinetics…

Plasma Physics · Physics 2011-10-25 Alessandro Zocco , Alexander Schekochihin

In this paper, a physics-oriented stochastic kinetic scheme will be developed that includes random inputs from both flow and electromagnetic fields via a hybridization of stochastic Galerkin and collocation methods. Based on the BGK-type…

Computational Physics · Physics 2021-03-17 Tianbai Xiao , Martin Frank

A general derivation is proposed for several boundary conditions arisen in the lattice Boltzmann simulations of various physical problems. Pair-wise moment conservations are proposed to enforce the boundary conditions with given macroscopic…

Computational Physics · Physics 2025-10-16 Jun Li , Wai Hong Ronald Chan , Zhe Feng , Chenglei Wang

A generalized hydrodynamic (GHD) model depicting the behaviour of visco-elastic fluids has often been invoked to explore the behaviour of a strongly coupled dusty plasma medium below their crystallization limit. The model has been…

Plasma Physics · Physics 2015-06-22 Vikram Singh Dharodi , Sanat Kumar Tiwari , Amita Das

Ideal MHD provides an accurate description of low-frequency Alfv\'en waves in fully ionized plasmas. However, higher frequency waves in many plasmas of the solar atmosphere cannot be correctly described by ideal MHD and a more accurate…

Solar and Stellar Astrophysics · Physics 2016-12-07 David Martínez-Gómez , Roberto Soler , Jaume Terradas

The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to large alignment frequency where the alignment effects are…

Analysis of PDEs · Mathematics 2017-01-16 M. Bostan , J. A. Carrillo

An asymptotic model based on a reductive perturbative expansion of the drift kinetic and the Maxwell equations is used to demonstrate that, near the instability threshold, the nonlinear dynamics of mirror modes in a magnetized plasma with…

Plasma Physics · Physics 2015-05-13 E. A. Kuznetsov , T. Passot , P. L. Sulem
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