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We present a six-moment multi-fluid model, which solves the governing equations for both ions and electrons, with pressure anisotropy along and perpendicular to the magnetic field direction, as well as the complete set of Maxwell equations.…

Computational Physics · Physics 2019-05-01 Zhenguang Huang , Gabor Toth , Bart van der Holst , Yuxi Chen , Tamas Gombosi

A new method that solves concurrently the multi-fluid and Maxwell's equations has been developed for plasma simulations. By calculating the stress tensor in the multi-fluid momentum equation by means of computational particles moving in a…

Computational Physics · Physics 2018-04-04 Stefano Markidis , Pierre Henri , Giovanni Lapenta , Kjell Ronnmark , Maria Hamrin , Zakaria Meliani , Erwin Laure

We introduce an extensible multi-fluid moment model in the context of collisionless magnetic reconnection. This model evolves full Maxwell equations, and simultaneously moments of the Vlasov-Maxwell equation for each species in the plasma.…

Plasma Physics · Physics 2015-09-07 Liang Wang , Ammar H. Hakim , A. Bhattacharjee , K. Germaschewski

The two-fluid Maxwell system couples frictionless electron and ion fluids via Maxwell's equations. When the frequencies of light waves, Langmuir waves, and single-particle cyclotron motion are scaled to be asymptotically large, the…

Plasma Physics · Physics 2017-08-02 J. W. Burby

A number of physical processes in laser-plasma interaction can be described with the two-fluid plasma model. We report on a solver for the three-dimensional two-fluid plasma model equations. This solver is particularly suited for simulating…

Plasma Physics · Physics 2021-02-26 B. Morel , R. Giust , K. Ardaneh , F Courvoisier

Based on a rigorous thermodynamic framework, this work develops a two-fluid magnetohydrodynamic model grounded in the Helmholtz free energy formalism. The model maintains full thermodynamic consistency by simultaneously satisfying energy…

Plasma Physics · Physics 2025-11-07 Ting Xiao , Qiaolin He

Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Despite the need to accurately capture the dynamics of these plasmas and the implications for…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Elias R. Most , Jorge Noronha , Alexander A. Philippov

We consider the Vlasov-Maxwell equations with one spatial direction and two momenta, one in the longitudinal direction and one in the transverse direction. By solving the Jacobi identity, we derive reduced Hamiltonian fluid models for the…

Chaotic Dynamics · Physics 2021-10-04 Cristel Chandre , Bradley A. Shadwick

Simulations of large-scale plasma systems are typically based on a fluid approximation approach. These models construct a moment-based system of equations that approximate the particle-based physics as a fluid, but as a result lack the…

Plasma Physics · Physics 2022-03-25 Brecht Laperre , Jorge Amaya , Sara Jamal , Giovanni Lapenta

We propose a well-posed Maxwell-type boundary condition for the linear moment system in half-space. As a reduction of the Boltzmann equation, the moment equations are available to model Knudsen layers near a solid wall, where proper…

Analysis of PDEs · Mathematics 2023-01-31 Ruo Li , Yichen Yang

The fundamental "two-fluid" model for describing plasma dynamics is given by the Euler-Maxwell system, in which compressible ion and electron fluids interact with their own self-consistent electromagnetic field. We prove global stability of…

Analysis of PDEs · Mathematics 2013-03-06 Yan Guo , Alexandru D. Ionescu , Benoit Pausader

A numerical method for the quasi-neutral two-fluid (QNTF) plasma model is described. The basic equations are ion and electron fluid equations and the Maxwell equations without displacement current. The neglect of displacement current is…

Computational Physics · Physics 2015-08-03 Takanobu Amano

We present a solver of 3D two-fluid plasma model for the simulation of short-pulse laser interactions with plasma. This solver resolves the equations of the two-fluid plasma model with ideal gas closure. We also include the…

Plasma Physics · Physics 2021-02-26 B. Morel , R. Giust , K. Ardaneh , F. Courvoisier

In various astrophysics settings it is common to have a two-fluid relativistic plasma that interacts with the electromagnetic field. While it is common to ignore the displacement current in the ideal, classical magnetohydrodynamic limit,…

Computational Physics · Physics 2016-06-22 Dinshaw S. Balsara , Takanobu Amano , Sudip Garain , Jinho Kim

We consider the periodic problem for two-fluid non-isentropic Euler-Maxwell systems in plasmas. By means of suitable choices of symmetrizers and an induction argument on the order of the time-space derivatives of solutions in energy…

Analysis of PDEs · Mathematics 2018-08-15 Yue-Hong Feng , Xin Li , Shu Wang

We simulate magnetic reconnection in the GEM problem using a two-fluid model with 10 moments for the electron fluid as well as the proton fluid. We show that use of 10 moments for electrons gives good qualitative agreement with the the…

Plasma Physics · Physics 2015-03-17 E. Alec Johnson , James A. Rossmanith

Two-fluid relativistic plasma flow equations combine the equations of relativistic hydrodynamics with Maxwell's equations for electromagnetic fields, which involve divergence constraints for the magnetic and electric fields. When developing…

Numerical Analysis · Mathematics 2025-03-27 Jaya Agnihotri , Deepak Bhoriya , Harish Kumar , Praveen Chandrashekar , Dinshaw S. Balsara

A new formulation of the Maxwell equations based on two vector and two scalar potentials is proposed. The use of these potentials allows the electromagnetic field equations to be written in the form of a hyperbolic system. In contrast to…

Classical Physics · Physics 2012-06-05 Alexey N. Kudryavtsev , Sergey I. Trashkeev

The two-fluid plasma equations for a single ion species, with full transport terms, including temperature and magnetic field dependent ion and electron viscous stresses and heat fluxes, frictional drag force, and ohmic heating term have…

Plasma Physics · Physics 2019-02-04 Z. Li , D. Livescu

The inclusion of kinetic effects into fluid models has been a long standing problem in magnetic reconnection and plasma physics. Generally the pressure tensor is reduced to a scalar which is an approximation used to aid in the modeling of…

Plasma Physics · Physics 2023-03-15 John Donaghy , Kai Germaschewski
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