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The standard Grad-Shafranov equation for axisymmetric toroidal plasma equilibrium is customary expressed in cylindrical coordinates with toroidal contours, and through which benchmark equilibria are solved. An alternative approach to cast…

Plasma Physics · Physics 2012-10-18 K. H. Tsui

The effect of magnetic shear and shear flow on local gravitationally induced instabilities is investigated. A simple model is constructed allowing for an arbitrary entropy gradient and a shear plasma flow in the Boussinesq approximation. A…

Astrophysics · Physics 2009-11-06 Gregory G. Howes , Steven C. Cowley , James C. McWilliams

We construct smooth, non-symmetric plasma equilibria which possess closed, nested flux surfaces and solve the magnetohydrostatic (steady three-dimensional incompressible Euler) equations with a small force. The solutions are also `nearly'…

Analysis of PDEs · Mathematics 2021-02-17 Peter Constantin , Theodore D. Drivas , Daniel Ginsberg

In this work we study the non-equilibrium dynamics of a quark-gluon plasma, as created in heavy-ion collisions. We investigate how big of a role plasma instabilities can play in the isotropization and equilibration of a quark-gluon plasma.…

High Energy Physics - Phenomenology · Physics 2008-11-18 Bjoern Schenke

Effects of anisotropy on the geodesic acoustic mode (GAM) is analyzed by using gyro-kinetic equations applicable to low-frequency microinstabilities in a toroidally rotating tokamak plasma. Dispersion relation in the presence of arbitrary…

Plasma Physics · Physics 2015-03-05 Haijun Ren

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

We present an analytical model of the self-consistent equilibrium of a magnetic flux rope which is obtained in cylindrical geometry. The equilibrium azimuthal magnetic field and plasma pressure are determined in a self-consistent way…

Pattern Formation and Solitons · Physics 2024-02-19 Oleg K. Cheremnykh , Viktor Fedun , Volodymyr M. Lashkin

In space plasma, various effects of magnetic reconnection and turbulence cause the electron motion to significantly deviate from their Larmor orbits. Collectively these orbits affect the electron velocity distribution function and lead to…

Plasma Physics · Physics 2018-04-04 H. Che , C. Schiff , G. Le , J. Dorelli , B. Giles , T. Moore

Hybrid Vlasov-Maxwell simulations are employed to investigate the role of kinetic effects in a two-dimensional turbulent multi-ion plasma, composed of protons, alpha particles and fluid electrons. In the typical conditions of the solar-wind…

The aim of the present work is to investigate tokamak equilibria with reversed magnetic shear and sheared flow, which may play a role in the formation of internal transport barriers (ITBs), within the framework of two-fluid model. The study…

Plasma Physics · Physics 2009-11-11 G. Poulipoulis , G. N. Throumoulopoulos , H. Tasso

The problem posed by the possible existence/non-existence of spatially non-symmetric kinetic equilibria has remained unsolved in plasma theory. For collisionless magnetized plasmas this involves the construction of stationary solutions of…

High Energy Astrophysical Phenomena · Physics 2023-07-04 Claudio Cremaschini , Massimo Tessarotto

The aim of this work is to introduce a numerical method to cope with the multiscale nature of confined plasma physics. These investigations are focused on fluid plasma description under large magnetic field. The difficulties in this context…

Plasma Physics · Physics 2025-02-28 Chang Yang , Fabrice Deluzet

In this paper, we present a new static and time-dependent MagnetoHydroDynamic (MHD) equilibrium code, TokaMaker, for axisymmetric configurations of magnetized plasmas, based on the well-known Grad-Shafranov equation. This code utilizes…

Plasma Physics · Physics 2024-02-28 C. Hansen , I. G. Stewart , D. Burgess , M. Pharr , S. Guizzo , F. Logak , A. O. Nelson , C. Paz-Soldan

Ion anisotropies can affect a host of processes within the magnetosphere, from modifying the growth rate of various instabilities to the energization and mass transport within the magnetosphere. Global multi-fluid simulations using a full…

Earth and Planetary Astrophysics · Physics 2016-05-05 Robert Winglee , Erika Harnett

The anisotropic diffusion of electrons with various rigidity and the anomalous conductivity of a collisionless plasma in the presence of Weibel-generated quasi-static turbulent and uniform external magnetic fields are examined. Using an…

We study the anisotropic Forchheimer-typed flows for compressible fluids in porous media. The first half of the paper is devoted to understanding the nonlinear structure of the anisotropic momentum equations. Unlike the isotropic flows, the…

Analysis of PDEs · Mathematics 2024-12-05 Luan Hoang , Thinh Kieu

The results of experimental study of interference induced magnetoconductivity in narrow quantum well HgTe with the normal energy spectrum are presented. Analysis is performed with taking into account the conductivity anisotropy. It is shown…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 G. M. Minkov , A. V. Germanenko , O. E. Rut , A. A. Sherstobitov , S. A. Dvoretski , N. N. Mikhailov

In weakly collisional astrophysical plasmas, such as the intracluster medium of galaxy clusters, the amplification of cosmic magnetic fields by chaotic fluid motions is hampered by the adiabatic production of magnetic-field-aligned pressure…

Plasma Physics · Physics 2019-12-25 Denis A. St-Onge

The azimuthal anisotropies of the collective transverse flow of hadrons are investigated in a large range of heavy-ion collision energy within the Parton-Hadron-String Dynamics (PHSD) microscopic transport approach which incorporates…

Nuclear Theory · Physics 2015-05-30 V. P. Konchakovski , E. L. Bratkovskaya , W. Cassing , V. D Toneev , V. Voronyuk

This paper deals with the numerical study of a strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high anisotropy. Furthermore, the recently proposed Asymptotic-Preserving…

Numerical Analysis · Mathematics 2015-06-15 Jacek Narski , Maurizio Ottaviani