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In this introductory review article, we explore the special relativistic equations of particle motions and the consequent derivation of Einstein's famous formula $E=mc^2$. Next, we study the special relativistic electromagnetic field…

Mathematical Physics · Physics 2007-05-23 A. Das , A. DeBenedictis , S. Kloster , N. Tariq

These lecture notes in geometric mechanics are meant to convey insight through clear definitions and workable examples. The lecture format adopted here is intended to convey the immediacy of the taught course and to be useful as a basis for…

Classical Physics · Physics 2024-09-23 Darryl D. Holm

Classical plasma with arbitrary degree of degeneration of electronic gas is considered. In plasma N (N>2) collinear electromagnatic waves are propagated. It is required to find the response of plasma to these waves. Distribution function in…

Plasma Physics · Physics 2017-01-12 A. V. Latyshev , V. I. Askerova

We analyze the instability of an unpolarized uniform quantum plasma consisting of two oppositely charged fermionic components with varying mass ratios, against charge and spin density waves (CDWs and SDWs). Using density functional theory,…

Strongly Correlated Electrons · Physics 2019-10-22 Zhaoyu Han , Shiwei Zhang , Xi Dai

A double perturbation idea is presented in framework of the quark-gluon plasma kinetic theory. A solvable set of equations from the 'double perturbation' is derived and the equations are showed to be gauge-independent. The formalism of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiaoping Zheng , Jiarong Li

The growing need for a better understanding of nonlinear processes in plasma physics has in the last decades stimulated the development of new and more advanced data analysis techniques. This review lists some of the basic properties one…

comp-gas · Physics 2008-02-03 T. Dudok de Wit

Astrophysical plasmas in accretion discs are usually treated in the framework of fluid or MHD approaches but there are some situations where these treatments become inadequate and one needs to revert to the more fundamental underlying…

High Energy Astrophysical Phenomena · Physics 2012-01-10 C. Cremaschini , J. C. Miller , M. Tessarotto

In this paper, we study the polyatomic Boltzmann equation based on continuous internal energy, focusing on physically relevant collision kernels of the hard potentials type with integrable angular part. We establish three main results:…

Analysis of PDEs · Mathematics 2025-10-14 Ricardo Alonso , Milana Čolić

The magnetic energy of nonlinear Alfven waves in compressible plasmas may be ponderomotively coupled only to ion-acoustic quasi-modes which modulate the wave phase velocity and cause wave-front steepening. In the collisionless plasma with…

Astrophysics · Physics 2009-10-31 M. V. Medvedev

Lecture notes prepared for the EMS--IAMP Spring School ``Symmetries and Measurement in Quantum Field Theory''. This set of lecture notes covers four lectures: 1. Operator Algebras and Quantum Field Theory, 2. Tomita-Takesaki Modular Theory…

Mathematical Physics · Physics 2025-07-02 Rainer Verch

In this paper we study the regularity of the non-cutoff Vlasov-Poisson-Boltzmann system for plasma particles of two species in the whole space $\mathbb{R}^3$ with hard potential. The existence of global-in-time nearby Maxwellian solutions…

Analysis of PDEs · Mathematics 2021-09-22 Dingqun Deng

Formulas for longitudinal electric conductivity and dielectric permeability in the quantum non-degenerate collisional plasma with the frequency of collisions depending on momentum in Mermin' approach are received. The kinetic equation in…

Plasma Physics · Physics 2013-03-11 A. V. Latyshev , A. A. Yushkanov

This paper is the first in a series devoted to the numerical study of nonlinear interactions of electromagnetic waves with plasma. We start with non-magnetized pair plasmas, where the primary processes are induced (Compton) scattering and…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Arka Ghosh , Daniel Kagan , Uri Keshet , Yuri Lyubarsky

This work is an electronic pre-publication of a book manuscript being under consideration in order to provide information to interested researchers about a review of mechanical forces in plasmas by electro-dynamic fields. Beginning with…

Plasma Physics · Physics 2014-08-22 Heinrich Hora

This is a series of lecture notes explaining topos theory and its application in physics.

Mathematical Physics · Physics 2012-07-10 Cecilia Flori

This paper is concerned with the Vlasov-Poisson-Boltzmann system for plasma particles of two species in three space dimensions. The Boltzmann collision kernel is assumed to be angular non-cutoff with $-3<\gamma<-2s$ and $1/2\leq s<1$, where…

Analysis of PDEs · Mathematics 2015-06-17 Renjun Duan , Shuangqian Liu

The mathematical description of laboratory fusion plasmas produced in Tokamaks is still challenging. Complete models for electrons and ions, as Vlasov-Maxwell systems, are computationally too expensive because they take into account all…

Analysis of PDEs · Mathematics 2012-04-23 Frédérique Charles , Bruno Després , Benoît Perthame , Remi Sentis

Concepts underlying the Enskog kinetic theory of hard-spheres are applied to include short-range correlation effects in a model for transport coefficients of strongly coupled plasmas. The approach is based on an extension of the effective…

Plasma Physics · Physics 2015-06-11 Scott D. Baalrud , Jerome Daligault

Particle dynamics are investigated in plasma turbulence, using self-consistent kinetic simulations, in two dimensions. In steady state, the trajectories of single protons and proton-pairs are studied, at different values of plasma "beta"…

Plasma Physics · Physics 2016-08-31 S. Servidio , C. T. Haynes , W. H. Matthaeus , D. Burgess , V. Carbone , P. Veltri

These lectures treat scattering theory from a non-perturbative point of view. The course begins with a review of formal aspects in scattering theory, discussing the in/out states and the $S$ matrix that connects them. Unitarity relations,…

High Energy Physics - Phenomenology · Physics 2024-09-26 J. A. Oller