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A dispersion relation for a commonly used hybrid model of plasma physics is developed, which combines fully kinetic ions and a massless-electron fluid description. Although this model and variations of it have been used to describe plasma…

Plasma Physics · Physics 2022-03-30 Daniel Told , Tessa Cookmeyer , Patrick Astfalk , Frank Jenko

A general dispersion-relation solver that numerically evaluates the full propagation properties of all the waves in fluid plasmas is presented. The effects of anisotropic pressure, external magnetic fields and beams, relativistic dynamics,…

Plasma Physics · Physics 2013-11-20 Hua-sheng Xie

We present an algorithm for solving the linear dispersion relation in an inhomogeneous, magnetised, relativistic plasma. The method is a generalisation of a previously reported algorithm that was limited to the homogeneous case. The…

Astrophysics · Physics 2009-11-13 J. Pétri , J. G. Kirk

Space plasmas are known to be out of (local) thermodynamic equilibrium, as observations show direct or indirect evidences of non-thermal velocity distributions of plasma particles. Prominent are the anisotropies relative to the magnetic…

Plasma Physics · Physics 2021-06-14 R. A. López , S. M. Shaaban , M. Lazar

A hitherto difficult and unsolved issue in plasma physics is how to give a general numerical solver for complicated plasma dispersion relation, although we have long known the general analytical forms. We transform the task to a full-matrix…

Plasma Physics · Physics 2013-04-23 Hua-sheng Xie

A general, fast, and effective approach is developed for numerical calculation of kinetic plasma dispersion relations. The plasma dispersion function is approximated by $J$-pole expansion. Subsequently, the dispersion relation is…

Plasma Physics · Physics 2016-02-18 Hua-sheng Xie , Yong Xiao

A generalized linear dispersion relation of electromagnetic slab universal modes is derived, taking into account arbitrary ion charge state, electron finite Larmor radius (FLR) effects, and Debye shielding effects. As a consequence, it…

Plasma Physics · Physics 2020-10-28 Ben Zhu , Manaure Francisquez , Barrett N. Rogers , Xue-qiao Xu

The hybrid Vlasov-Maxwell system of equations is suitable to describe a magnetized plasma at scales of the order of or larger than proton kinetic scales. An exact stationary solution is presented by revisiting previous results with a…

Plasma Physics · Physics 2018-06-06 F. Malara , O. Pezzi , F. Valentini

We present BO-PBK (BO-Product-Bi-Kappa), a new solver for kinetic dispersion relations of obliquely propagating waves in magnetized plasmas with complex velocity distributions. It reformulates the linearized Vlasov-Maxwell system into a…

Plasma Physics · Physics 2025-12-09 Wei Bai , Huasheng Xie

We investigate nonlinear, higher-order dispersive equations with measure (or even less regular) potentials and initial data with low regularity. Our approach is of distributional nature and relies on the phase space analysis (via Gabor wave…

Analysis of PDEs · Mathematics 2024-07-23 Sonia Mazzucchi , Fabio Nicola , S. Ivan Trapasso

Electronic parametric instabilities of an ultrarelativistic circularly polarized laser pulse propagating in underdense plasmas are studied by numerically solving the dispersion relation which includes the effect of the radiation reaction…

Plasma Physics · Physics 2020-03-05 Ferdinand Gleixner , Naveen Kumar

The Arbitrary Linear Plasma Solver (ALPS) is a parallelised numerical code that solves the dispersion relation in a hot (even relativistic) magnetised plasma with an arbitrary number of particle species with arbitrary gyrotropic equilibrium…

A procedure that allows study of unstable stability of a boundary layer between plasma and a magnetic field has been developed. Layer equilibrium for one reason or another is not set but follows from strict solution of kinetic equation with…

Plasma Physics · Physics 2010-05-25 V. V. Lyahov , V. M. Neshchadim

A unified numerically solvable framework for dispersion relations with arbitrary number of species drifting at arbitrary directions and with Krook collision is derived for linear uniform/homogenous kinetic plasma, which largely extended the…

Plasma Physics · Physics 2019-08-30 Huasheng Xie

We propose a new and effective method to find plasma oscillatory and wave modes. It implies searching a pair of poles of two-dimensional (in coordinate $x$ and time $t$) Laplace transform of self-consistent plasma electric field $E(x,t) \to…

Plasma Physics · Physics 2008-02-03 V. N. Soshnikov

The equilibrium of a finite-beta cylindrical RFP plasma in the presence of saturated-amplitude tearing modes is investigated. The singularities arising from the perturbative analysis of the MHD force balance equation JxB=grad(p) are…

Plasma Physics · Physics 2007-05-23 P. Zanca , F. Sattin , E. Martines

In order to find an approximate solution to the Vlasov-Maxwell equation system describing the lower hybrid wave propagation in magnetic confined plasmas, the use of the WKB method leads to the ray tracing equations. The Hamiltonian…

Plasma Physics · Physics 2014-03-05 Andrea Casolari , Alessandro Cardinali

In the paper within the approximation of the two-fluid magnetohydrodynamics and geometrooptical approximation the dispersion relation was found for ionacoustic instabilities of the ionospheric plasma at 80-200km altitudes in…

Plasma Physics · Physics 2009-04-07 Oleg I. Berngardt , Alexander P. Potekhin

A fully relativistic treatment of Bernstein waves in an electron-positron pair plasma has remained too formidable a task owing to the very complex nature of the problem. In this article, we perform contour integration of the dielectric…

Plasma Physics · Physics 2009-11-19 Ramandeep Gill , Jeremy S. Heyl

Synchrotron x-ray reflectivity is used to study ion distributions at the liquid-liquid interface between a nitrobenzene solution of tetrabutylammonium tetraphenylborate (TBATPB) and a water solution of tetrabutylammonium bromide (TBABr).…

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