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The relaxation of a weakly collisional plasma, which is of fundamental interest to laboratory and astrophysical plasmas, can be described by the Boltzmann-Poisson equations with the Lenard-Bernstein collision operator. We perform a…

Plasma Physics · Physics 2024-11-13 Uddipan Banik , Amitava Bhattacharjee

As is well-known, for plasmas of high density and modest temperature, the classical kinetic theory needs to be extended. Such extensions can be based on the Schr\"odinger Hamiltonian, applying a Wigner transform of the density matrix, in…

Plasma Physics · Physics 2021-11-02 Gert Brodin , Jens Zamanian

We investigate the dispersion relation and Landau damping of ion acoustic waves in the collisionless magnetic-field-free plasma if it is described by the nonextensive q-distributions of Tsallis statistics. We show that the increased numbers…

Plasma Physics · Physics 2015-08-10 Liyan Liu , Jiulin Du

This review presents an upgraded wave theory adapted to the high fluctuation level of driven realistic i.e. non-idealized plasmas. Above all, this means giving up the well-known concept of a linear wave theory in favor of a thoroughly…

Plasma Physics · Physics 2022-05-18 Hans Schamel

Electromagnetic waves propagating through vacuum can polarize virtual electron-positron pairs; this polarization, in turn, nonlinearly modifies their propagation. A semi-classical nonlinear wave equation describing the propagation is…

Optics · Physics 2026-01-08 D. Ramsey , M. S. Formanek , J. P. Palastro

These notes provide a pedagogical introduction to the theoretical study of vacuum polarization effects in strong electromagnetic fields as provided by state-of-the-art high-intensity lasers. Quantum vacuum fluctuations give rise to…

High Energy Physics - Phenomenology · Physics 2020-01-22 Felix Karbstein

On the basis of the Blaizot-Iancu equations, which are a local formulation of the hard thermal loop (HTL) equations of motion for soft fluctuating quark and gluon fields and their induced sources, the coupled kinetic equations for plasminos…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yu. A. Markov , M. A. Markova

The Caldeira-Leggett Hamiltonian (Eq. (1) below) describes the interaction of a discrete harmonic oscillator with a continuous bath of harmonic oscillators. This system is a standard model of dissipation in macroscopic low temperature…

Plasma Physics · Physics 2015-05-19 George I. Hagstrom , P. J. Morrison

The nonlinear frequency shift is derived in a transparent asymptotic form for intense Langmuir waves in general collisionless plasma. The formula describes both fluid and kinetic effects simultaneously. The fluid nonlinearity is expressed,…

Plasma Physics · Physics 2015-11-13 Chang Liu , Ilya Y. Dodin

The Heisenberg-Euler theory of the quantum vacuum supplements Maxwell's theory of electromagnetism with nonlinear light-light interactions. These originate in vacuum fluctuations, a key prediction of quantum theory, and can be triggered by…

Computational Physics · Physics 2023-09-28 Andreas Lindner , Baris Ölmez , Hartmut Ruhl

We discuss pair creation in a strong laser background. Using lightfront field theory, we show that all the physics is contained in the lightfront momentum transfer from the laser, and probe, to the produced pair. The dependence of this…

High Energy Physics - Phenomenology · Physics 2011-01-26 Thomas Heinzl , Anton Ilderton , Mattias Marklund

We analyse the effect of expansion in Newtonian cosmology on the asymptotic behaviour of charged self-interacting plasmas close to Poisson equilibria. To this end, we study the Vlasov-Poisson system on the phase space of a $3$-torus which…

Analysis of PDEs · Mathematics 2026-04-17 David Fajman , Liam Urban

A perpendicular ion drift is investigated as a mechanism for the generation of magnetic field structures in a highly collisional dusty plasma. The basic dissipation mechanism is assumed to be the dust-neutrals momentum exchange, so that…

Plasma Physics · Physics 2009-11-13 F. Haas , P. K. Shukla

A new mechanism for the production of electron-positron pairs from the interaction of a laser field and a fully stripped diatomic molecule in the tunneling regime is presented. When the laser field is turned off, the Dirac operator has…

High Energy Physics - Phenomenology · Physics 2013-03-18 François Fillion-Gourdeau , Emmanuel Lorin , André D. Bandrauk

We investigate the effects of the asymmetric pulse shapes on electron-positron pair production in three distinct fields: chirp-free, small frequency chirp, and large frequency chirp fields via the real-time Dirac-Heisenberg-Wigner…

High Energy Physics - Phenomenology · Physics 2024-01-31 Neng-Zhi Chen , Orkash Amat , Li-Na Hu , Hong-Hao Fan , Bai-Song Xie

Langmuir turbulence is an archetype of wave turbulence in plasma physics. By means of 1D-1V Vlasov-Poisson simulations, we show that coherent structures, called Langmuir cavitons, are generated by the long time evolution of Langmuir weak…

Plasma Physics · Physics 2013-01-16 P. Henri , F. Califano , C. Briand , A. Mangeney

Equations of motions and energy-momentum density tensors are obtained for a dispersive and dissipative medium sustaining electric and magnetic polarizations, using Lagrangian formalisms. A previous work on the subject by the authors has…

Optics · Physics 2007-05-23 Asher Yahalom , Robert Englman , Yosef Pinhasi

The linear response is investigated in a long-range Hamiltonian system from the view point of dynamics, which is described by the Vlasov equation in the limit of large population. Due to existence of the Casimir invariants of the Vlasov…

Statistical Mechanics · Physics 2017-06-07 Yoshiyuki Y. Yamaguchi , Daiki Sawai

We apply the linear response theory to systems with long-range interactions described by hydrodynamic equations such as the Euler, Smoluchowski, and damped Euler equations. We analytically determine the response of the system submitted to a…

Statistical Mechanics · Physics 2013-09-04 Pierre-Henri Chavanis

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
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