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Consider Vlasov-Poisson system with a fixed ion background and periodic condition on the space variables, in any dimension d\geq2. First, we show that for general homogeneous equilibrium and any periodic x-box, within any small neighborhood…

偏微分方程分析 · 数学 2011-06-23 Zhiwu Lin , Chongchun Zeng

The optomechanical coupling and transverse stability of a co-propagating monochromatic electromagnetic wave and mono-energetic beam of two-level atoms is investigated in the collisionless regime. The coupled dynamics are studied through a…

原子物理 · 物理学 2021-04-12 Christopher Limbach

In this work, we consider the relativistic Vlasov-Maxwell system, linearized around a spatially homogeneous equilibrium, set in the whole space $\mathbb{R}^3 \times \mathbb{R}^3$. The equilibrium is assumed to belong to a class of radial,…

偏微分方程分析 · 数学 2024-02-20 Daniel Han-Kwan , Toan T. Nguyen , Frédéric Rousset

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…

统计力学 · 物理学 2008-08-01 Boris V. Alexeev

We report angle-resolved Raman scattering observations of the temperature dependent Landau damping of the acoustic plasmon in an electron bilayer system realised in a GaAs double quantum well structure. Corresponding calculations of the…

介观与纳米尺度物理 · 物理学 2009-10-31 D. S. Kainth , D. Richards , H. P. Hughes , M. Y. Simmons , D. A. Ritchie

In the limit of extremely intense electromagnetic fields the Maxwell equations are modified due to the photon-photon scattering that makes the vacuum refraction index depend on the field amplitude. In presence of electromagnetic waves with…

等离子体物理 · 物理学 2020-02-05 S. V. Bulanov , P. V. Sasorov , F. Pegoraro , H. Kadlecova , S. S. Bulanov , T. Zh. Esirkepov , N. N. Rosanov , G. Korn

New non-linear, spatially periodic, long wavelength electrostatic modes of an electron fluid oscillating against a motionless ion fluid (Langmuir waves) are given, with viscous and resistive effects included. The cold plasma approximation…

等离子体物理 · 物理学 2010-05-28 A. A. Skorupski , E. Infeld

We impose in the nonsymmetric gravitational theory, by means of Lagrange multiplier fields in the action, a set of covariant constraints on the antisymmetric tensor field. The canonical Hamiltonian constraints in the weak field…

广义相对论与量子宇宙学 · 物理学 2008-02-03 J. W. Moffat

For short wavelengths, it is well known that the linearized Wigner-Moyal equation predicts wave damping due to wave-particle interaction, where the resonant velocity shifted from the phase velocity by a velocity $v_q = \hbar k/2m$. Here…

等离子体物理 · 物理学 2017-11-15 Gert Brodin , Robin Ekman , Jens Zamanian

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

数学物理 · 物理学 2015-05-14 T. Dereli , R. W. Tucker

Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is applied to low-collision electron-ion plasmas. Taking into account Coulomb collisions…

等离子体物理 · 物理学 2007-08-08 V. N. Soshnikov

We consider two classes of steady states of the three-dimensional, gravitational Vlasov-Poisson system: the spherically symmetric Antonov-stable steady states (including the polytropes and the King model) and their plane symmetric…

偏微分方程分析 · 数学 2022-04-27 Mahir Hadzic , Gerhard Rein , Christopher Straub

A potential resolution for the generation of coherent radio emission in pulsar plasma is the existence of relativistic charge solitons, which are solutions of nonlinear Schr\"{o}dinger equation (NLSE). In an earlier study, Melikidze et al.…

高能天体物理现象 · 物理学 2018-08-22 Taras Lakoba , Dipanjan Mitra , George Melikidze

This paper studies the nonlinear Landau damping on the torus $\mathbb{T}^d$ for the Vlasov-Poisson system with massless electrons (VPME). We consider solutions with analytic or Gevrey ($\gamma > 1/3$) initial data, close to a homogeneous…

偏微分方程分析 · 数学 2023-08-24 Antoine Gagnebin , Mikaela Iacobelli

Shafranov's virial theorem implies that nontrivial magnetohydrodynamical equilibrium configurations must be supported by externally supplied currents. Here we extend the virial theorem to field theory, where it relates to Derrick's scaling…

等离子体物理 · 物理学 2009-11-06 Ludvig Faddeev , Lisa Freyhult , Antti J. Niemi , Peter Rajan

The universe is smooth on large scales but very inhomogeneous on small scales. Why is the spacetime on large scales modeled to a good approximation by the Friedmann equations? Are we sure that small-scale non-linearities do not induce a…

宇宙学与河外天体物理 · 物理学 2015-05-18 Daniel Baumann , Alberto Nicolis , Leonardo Senatore , Matias Zaldarriaga

Inspired by the problem of Planckian scattering we describe a classical effective field theory for weak ultra relativistic scattering in which field propagation is instantaneous and transverse and the particles' equations of motion localize…

高能物理 - 理论 · 物理学 2011-08-08 Barak Kol

In this article, we use the general theory derived in the companion paper [M. Tacu and D. B\'enisti, Phys. Plasmas (2021)] in order to address several long-standing issues regarding nonlinear electron plasma waves (EPW's). First, we discuss…

等离子体物理 · 物理学 2022-05-25 D. Bénisti , D. F. G. Minenna , M. Tacu , A. Debayle , L. Gremillet

The paper treats the validity problem of the nonrelativistic Vlasov-Poisson equation in $d\geq 2$ dimensions. It is shown that the Vlasov-Poisson dynamics can be derived as a combined mean field and point-particle limit of an N-particle…

数学物理 · 物理学 2016-03-23 Dustin Lazarovici

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…

等离子体物理 · 物理学 2024-11-13 Uddipan Banik , Amitava Bhattacharjee