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Using the Finite-Difference-Time-Domain (FDTD) method, we compute the electromagnetic field distribution in and around dielectric media of various shapes and optical properties. With the aid of the constitutive relations, we proceed to…

Optics · Physics 2014-01-29 Armis R. Zakharian , Masud Mansuripur , Jerome V. Moloney

The main objective of the paper is to determine asymptotic solutions to the initial-value conditions for Vlasov-Ampere/Gauss system of equations that is to find the "far field" solutions. Next, we determine dispersion relations for…

Plasma Physics · Physics 2007-05-23 A. J. Turski , B. Atamaniuk , E. Turska

We calculate the thermal diffusion constant $D_T$ and butterfly velocity $v_B$ in neutral magnetized plasma using holographic magnetic brane background. We find the thermal diffusion constant satisfies Blake's bound. The constant in the…

High Energy Physics - Theory · Physics 2019-08-28 Wei Li , Shu Lin , Jiajie Mei

We present an extension of the multi-moment advection scheme (Minoshima et al., 2011, J. Comput. Phys.) to the three-dimensional case, for full electromagnetic Vlasov simulations of magnetized plasma. The scheme treats not only point values…

Computational Physics · Physics 2015-06-04 Takashi Minoshima , Yosuke Matsumoto , Takanobu Amano

We investigate electromagnetic buoyancy instabilities of the electron-ion plasma with the heat flux based on not the magnetohydrodynamic (MHD) equations, but using the multicomponent plasma approach when the momentum equations are solved…

Astrophysics of Galaxies · Physics 2015-05-27 Anatoly Nekrasov , Mohsen Shadmehri

We study the long term evolution of magnetic fields generated by a collisionless relativistic $e^+e^-$ shock which is initially unmagnetized. Our 2D particle-in-cell numerical simulations show that downstream of such a Weibel-mediated…

Astrophysics · Physics 2009-11-13 P. Chang , A. Spitkovsky , J. Arons

The purpose of the present paper is to provide an overview of Asymptotic-Preserving methods for multiscale plasma simulations by addressing three singular perturbation problems. First, the quasi-neutral limit of fluid and kinetic models is…

Plasma Physics · Physics 2017-04-05 Pierre Degond , Fabrice Deluzet

We study electromagnetic streaming instabilities in thermal viscous regions of rotating astrophysical objects, such as, protostellar and protoplanetary magnetized accretion disks, molecular clouds, their cores, and elephant trunks. The…

Astrophysics of Galaxies · Physics 2015-05-14 A. K. Nekrasov

We present a new method for solving the relativistic Vlasov--Maxwell system of equations, applicable to a wide range of extreme high-energy-density astrophysical and laboratory environments. The method directly discretizes the kinetic…

High Energy Astrophysical Phenomena · Physics 2026-02-20 James Juno , Grant Johnson , Alexander Philippov , Ammar Hakim , Alexander Chernoglazov , Shuzhe Zeng

Consider the motion of a charged, point particle moving in the complement of a Poisson distribution of hard sphere scatterers in two dimensions under the effect of a fixed magnetic field. Building on, and extending a coupling method…

Probability · Mathematics 2024-11-07 Christopher Lutsko , Balint Toth

In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong magnetic field. Whenever the magnetic field has constant intensity, the oscillations generated by the stiff term are periodic.…

Numerical Analysis · Mathematics 2019-07-11 Philippe Chartier , Nicolas Crouseilles , Mohammed Lemou , Florian Mehats , Xiaofei Zhao

The dielectric function for electron gas with parabolic energy bands is derived in a fractional dimensional space. The static response function shows a good dimensional dependance. The plasma frequencies are obtained from the roots of the…

Plasma Physics · Physics 2014-03-25 Krushna Mohan Mohapatra , Birendra kumar Panda

We derive a Lorentz invariant distribution of velocities for a relativistic gas. Our derivation is based on three pillars: the special theory of relativity, the central limit theorem and the Lobachevskyian structure of the velocity space of…

Statistical Mechanics · Physics 2014-06-04 Evaldo M. F. Curado , Ivano D. Soares

The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle…

Analysis of PDEs · Mathematics 2025-07-15 Peter Constantin , Hezekiah Grayer

To better understanding the principal features of collisionless damping/growing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in two-stream plasmas with the delta-function type…

Plasma Physics · Physics 2007-08-07 V. N. Soshnikov

The procedure of comprehensive analysis of instability of current sheathes in a wide range of frequencies and wave lengths in the electrically neutral approximation has been developed. This comprehensive analysis of instability is based on…

Plasma Physics · Physics 2010-09-17 V. V. Lyahov , V. M. Neshchadim

Collisionless damping of electrical waves in plasma is investigated in the frame of the classical formulation of the problem. The new principle of regularization of the singular integral is used. The exact solution of the corresponding…

Statistical Mechanics · Physics 2008-08-01 Boris V. Alexeev

We present a microscopic calculation of the electric conductivity and net-particle diffusion coefficients for a viscous and resistive ultra-relativistic plasma. Our results might be of interest for several astrophysical and cosmological…

High Energy Physics - Phenomenology · Physics 2025-06-13 Ferdinando Frascà , Andrea Beraudo , Luca Del Zanna

We revisit the problem of stationary distribution of vorticity in three-dimensional turbulence. Using Clebsch variables we construct an explicit invariant measure on stationary solutions of Euler equations with the extra condition of fixed…

High Energy Physics - Theory · Physics 2020-10-13 Alexander Migdal

The linearized Vlasov equation for a plasma system in a uniform magnetic field and the corresponding linear Vlasov operator are studied. The spectrum and the corresponding eigenfunctions of the Vlasov operator are found. The spectrum of…

Mathematical Physics · Physics 2009-10-31 Biao Wu
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