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The finite-difference time-domain (FDTD) method is a well established method for solving the time evolution of Maxwell's equations. Unfortunately the scheme introduces numerical dispersion and therefore phase and group velocities which…

Plasma Physics · Physics 2018-02-05 Alexander Blinne , David Schinkel , Stephan Kuschel , Nina Elkina , Sergey Rykovanov , Matt Zepf

We present a novel paradigm for dispersion engineering in coupled transmission lines (CTLs) based on exceptional points of degeneracy (EPDs). We develop a theory for fourth-order EPDs consisting of four Floquet-Bloch eigenmodes coalescing…

The Particle-In-Cell (PIC) method is widely used in relativistic particle beam and laser plasma modeling. However, the PIC method exhibits numerical instabilities that can render unphysical simulation results or even destroy the simulation.…

Plasma Physics · Physics 2016-05-04 M. D. Meyers , C. -K. Huang , Y. Zeng , S. A. Yi , B. J. Albright

We derive an equation whose solutions describe self-consistent states of marginal stability for a proton-electron plasma interacting with parallel-propagating ion cyclotron waves. Ion cyclotron waves propagating through this marginally…

Plasma Physics · Physics 2015-06-04 Philip A. Isenberg

After approximate replacing of Maxwellian distribution exponent with the rational polynomial fraction we have obtained precise analytical expression for and calculated the principal value of logarithmically divergent integral in the…

Plasma Physics · Physics 2007-09-17 V. N. Soshnikov

The propagation of plasma waves in a new non-linear, logarithmic electrodynamics model is performed. A cold, uniform, collisionless fluid plasma model is applied. Electrostatic waves in magnetized plasma are shown to correspond to modified…

Differential equations are pivotal in modeling and understanding the dynamics of various systems, offering insights into their future states through parameter estimation fitted to time series data. In fields such as economy, politics, and…

Machine Learning · Statistics 2024-04-24 Hyeontae Jo , Sung Woong Cho , Hyung Ju Hwang

Ultra-magnetized plasmas, where the magnetic field strength exceeds the Schwinger field of about $B_{Q}\approx4\times10^{13}$~gauss, become of great scientific interest, thanks to the current advances in laser-plasma experiments and…

Plasma Physics · Physics 2026-02-03 Mikhail V. Medvedev

Shocks, turbulence and winds all influence the electron velocity distribution in hot plasmas, exciting lower-energy electrons and generating a high-energy (typically power-law) tail. This effect, typically described as a kappa distribution…

Solar and Stellar Astrophysics · Physics 2020-01-08 Xiaohong Cui , Adam R. Foster , Takayuki Yuasa , Randall K. Smith

Properties of modified plasma waves in non-linear electrodynamics are investigated. We consider a cold, uniform, collisionless, and magnetized plasma model. Initially, we also assume small amplitude waves and the non-relativistic…

Plasma Physics · Physics 2023-06-27 Leonardo P. R. Ospedal , Fernando Haas

The dispersion and damping of ion-acoustic waves in the plasma with a regularized kappa-distribution are studied. The generalized dispersion relation and damping rate are derived, which both depend significantly on the parameters alpha and…

Plasma Physics · Physics 2023-09-29 Rui Huo , Jiulin Du

Energy distribution of electrons in the plasma sustained by the electron-cyclotron resonance (ECR) discharge has a complicated shape as a function of various parameters that still remains unknown. Meanwhile, it is an important plasma…

Plasma Physics · Physics 2022-05-18 Elena Kiseleva , Ivan Izotov , Vadim Skalyga

We investigate kinetic entropy-based measures of the non-Maxwellianity of distribution functions in plasmas, i.e., entropy-based measures of the departure of a local distribution function from an associated Maxwellian distribution function…

Plasma Physics · Physics 2020-10-28 Haoming Liang , M. Hasan Barbhuiya , P. A. Cassak , O. Pezzi , S. Servidio , F. Valentini , G. P. Zank

Electrostatic waves in a collision-free unmagnetized plasma of electrons with fixed ions are investigated for electron equilibrium velocity distribution functions that deviate slightly from Maxwellian. Of interest are undamped waves that…

Plasma Physics · Physics 2015-06-05 F. Valentini , D. Perrone , F. Califano , F. Pegoraro , P. Veltri , P. J. Morrison , T. M. O'Neil

Relativistic quantum plasma dispersion functions are defined and the longitudinal and transverse response functions for an electron (plus positron) gas are written in terms of them. The dispersion is separated into Landau-damping,…

Plasma Physics · Physics 2009-11-11 D. B. Melrose , J. I. Weise , J. McOrist

We propose a family of four-parameter distributions that contain the K-distribution as special case. The family is derived as a mixture distribution that uses the three-parameter reflected Gamma distribution as parental and the…

Statistics Theory · Mathematics 2021-07-09 Stylianos E. Trevlakis , Nestor D. Chatzidiamantis , George K. Karagiannidis

A new category of plasma emerged at the end of the 1970s. It consists of a column of plasma maintained by the electric field component of radiofrequency (RF) and microwave (MW) waves that propagate at the interface between the outer surface…

Plasma Physics · Physics 2026-04-20 Michel Moisan

This paper discusses temporally continuous and discrete forms of the speed-limited particle-in-cell (SLPIC) method first treated by Werner et al. [Phys. Plasmas 25, 123512 (2018)]. The dispersion relation for a 1D1V electrostatic plasma…

Plasma Physics · Physics 2021-08-31 Thomas G. Jenkins , Gregory R. Werner , John R. Cary

Examination of equilibrium radiation in plasma media shows that the spectral energy distribution of such radiation is different from the Planck equilibrium radiation. Using the approach of quantum electrodynamics the general relation for…

Plasma Physics · Physics 2020-06-24 Sergey A. Trigger

The linear drift-tearing mode is analyzed for different regimes of the plasma-$\beta$, ion-skin-depth parameter space with an unreduced, extended-MHD model. New dispersion relations are found at moderate plasma $\beta$ and previous…

Plasma Physics · Physics 2014-07-16 Jacob R King , Scott E Kruger