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We present an efficient multi-accuracy algorithm for the computations of a set of special functions of a complex argument, z=x+iy. These functions include the complex probability function w(z), and closely related functions such as the…

Numerical Analysis · Computer Science 2019-01-23 Mofreh R Zaghloul

We express the Riemann zeta function $\zeta\left(s\right)$ of argument $s=\sigma+i\tau$ with imaginary part $\tau$ in terms of three absolutely convergent series. The resulting simple algorithm allows to compute, to arbitrary precision,…

Number Theory · Mathematics 2017-06-09 Kurt Fischer

Expanding laser plasmas, produced by high energy laser radiation, possess both high thermal and magnetic field energy density. Characterization of such plasma is challenging but needed for understanding of its physical behaviour. Among all…

This paper introduces a novel approach for automated estimation of plasma temperature and density using emission spectroscopy, integrating Bayesian inference with sophisticated physical models. We provide an in-depth examination of Bayesian…

Plasma Physics · Physics 2023-12-21 Todd A. Oliver , Craig Michoski , Samuel Langendorf , Andrew LaJoie

When a pulsed, few-cycle electromagnetic wave is focused by optics with f-number smaller than two, the frequency components it contains are focused to different regions of space, building up a complex electromagnetic field structure.…

We develop a new numerical scheme for solving the radiative transfer equation in a spherically symmetric system. This scheme does not rely on any kind of diffusion approximation and it is accurate for optically thin, thick, and intermediate…

Instrumentation and Methods for Astrophysics · Physics 2018-05-31 Torsten Stamer , Shu-ichiro Inutsuka

This contribution, built on the companion paper [1], is focused on the different mathematical approaches available for the analysis of the quasilinear approximation in plasma physics.

Analysis of PDEs · Mathematics 2020-11-17 Claude Bardos , Nicolas Besse

A formula for supershell partition functions, which play a major role in the Super Transition Array approach to radiative-opacity calculations, is derived as a functional of the distribution of energies within the supershell. It consists in…

Atomic Physics · Physics 2023-06-05 Bran G. Wilson , Jean-Christophe Pain

This paper presents the misestimation of temperature when observations from a kappa distributed plasma are analyzed as a Maxwellian. One common method to calculate the space plasma parameters is by fitting the observed distributions using…

Space Physics · Physics 2016-10-07 Georgios Nicolaou , George Livadiotis

In the present paper we calculate the dielectric functions of an ultra-relativistic plasma, such as an electron-positron or a quark-gluon plasma. We use classical transport theory and take into account collisions within the relaxation time…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. E. Carrington , T. Fugleberg , D. Pickering , M. H. Thoma

The distribution of the electric microfield at a charged particle moving in a two-component plasma is calculated. The theoretical approximations are obtained via the parameter integration technique and using the screened pair approximation…

Plasma Physics · Physics 2015-06-26 J. Ortner , I. Valuev , W. Ebeling

We determine the linear optical susceptibility of a radiation pulse propagating through a mixture of a gas of atoms or molecules and a plasma. For a specific range of radiation and plasma frequencies, resonant generation of volume plasmons…

Plasma Physics · Physics 2016-03-18 Karl-Peter Marzlin , Anuraj Panwar , M. Shajahan G. Razul , Barry C. Sanders

We investigate the effects of plasma interactions on resonance-enhanced fusion rates in stars. Starting from basic principles we derive an expression for the fusion rate that can serve as a basis for discussion of approximation schemes. The…

Solar and Stellar Astrophysics · Physics 2015-06-04 R. F. Sawyer

The simulation of the metabolism in mammalian cells becomes a severe problem if spatial distributions must be taken into account. Especially the cytoplasm has a very complex geometric structure which cannot be handled by standard…

Numerical Analysis · Mathematics 2010-03-01 Michael Hanke , Marry-Chriz Cabauatan-Villanueva

The quasistatic approximation (QSA) is an efficient method of simulating laser- and beam-driven plasma wakefield acceleration, but it becomes imprecise if some plasma particles make long longitudinal excursions in a strongly nonlinear wave,…

Plasma Physics · Physics 2023-05-03 P. V. Tuev , R. I. Spitsyn , K. V. Lotov

A new $z$-stretching finite difference method is established for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain. By introducing proper domain transformations, we solve corresponding…

Numerical Analysis · Mathematics 2010-06-09 Leonel Gonzalez , Shekhar Guha , James W. Rogers , Qin Sheng

Particle-In-Cell codes are widely used for plasma physics simulations. It is often the case that particles within a computational cell need to be split to improve the statistics or, in the case of non-uniform meshes, to avoid the…

Computational Physics · Physics 2021-04-22 Roch Smets , Nicolas Aunais , ANdrea Ciardi , Matthieu Drouin , Martin Campos-Pino , Philip Deegan

We present a general expression for the probability distribution function of electric field in a plasma cloud formed by the impact of a laser pulse on a gas or a solid body. We also present the results of numerical calculation of this…

Plasma Physics · Physics 2022-04-21 S. Ya. Bronin , E. V. Vikhrov , B. B. Zelener , B. V. Zelener

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 term "Active Plasma Resonance Spectroscopy" refers to a class of diagnostic methods which employ the ability of plasmas to resonate on or near the plasma frequency. The basic idea dates back to the early days of discharge physics: An…

Plasma Physics · Physics 2015-06-12 Martin Lapke , Jens Oberrath , Thomas Mussenbrock , Ralf Peter Brinkmann