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Related papers: Introduction to Landau Damping

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Landau damping is a key mechanism to preserve the stability of particle beams under the influence of various collective forces that would otherwise spoil its quality through beam instabilities. We describe its root cause as well as ways to…

Accelerator Physics · Physics 2025-10-20 Xavier Buffat

Landau damping is the mechanism of plasma and beam stabilization; it arises through energy transfer from collective modes to the incoherent motion of resonant particles. Normally this resonance requires the resonant particle's frequency to…

Accelerator Physics · Physics 2018-01-31 Alexandru Macridin , Alexey Burov , Eric Stern , James Amundson , Panagiotis Spentzouris

Landau damping is calculated using real variables, clarifying the physical mechanism.

Plasma Physics · Physics 2015-10-29 John Wesson

Within the framework of the hypothesis offered by authors about complex-valued nature of physical quantities, the effect of the Landau damping has been explored with assumption that not only frequency can be a small imaginary component but…

Plasma Physics · Physics 2007-05-23 V. V. Lyahov , V. M. Neshchadim

Landau damping is one of the cornerstones of plasma physics. In the context of the mathematical framework developed by Landau in his original derivation of Landau damping, we examine the solutions of the linear Vlasov-Poisson system for…

Plasma Physics · Physics 2025-04-02 Riccardo Stucchi , Philipp Lauber

Landau damping is an essential mechanism for ensuring collective beam stability in particle accelerators. Precise knowledge of how strong Landau damping is, is key to making accurate predictions on beam stability for state-of-the-art high…

Accelerator Physics · Physics 2021-04-28 S. A. Antipov , D. Amorim , N. Biancacci , X. Buffat , E. Métral , N. Mounet , A. Oeftiger , D. Valuch

It is shown that partial incoherence, in the form of stochastic phase noise, of a Langmuir wave in an unmagnetized plasma gives rise to a Landau-type damping. Starting from the Zakharov equations, which describe the nonlinear interaction…

Chaotic Dynamics · Physics 2009-11-07 R. Fedele , P. K. Shukla , M. Onorato , D. Anderson , M. Lisak

Small amplitude oscillations are a commonly observed feature in prominences/filaments. These oscillations appear to be of local nature, are associated to the fine structure of prominence plasmas, and simultaneous flows and counterflows are…

Solar and Stellar Astrophysics · Physics 2015-05-18 I. Arregui , J. L. Ballester

We present a study of the standard plasma physics test, Landau damping, using the Particle-In-Cell (PIC) algorithm. The Landau damping phenomenon consists of the damping of small oscillations in plasmas without collisions. In the PIC…

Plasma Physics · Physics 2023-03-23 Daniel S. Finn , Matthew G. Knepley , Joseph V. Pusztay , Mark F. Adams

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…

Statistical Mechanics · Physics 2008-08-01 Boris V. Alexeev

Going beyond the linearized study has been a longstanding problem in the theory of Landau damping. In this paper we establish exponential Landau damping in analytic regularity. The damping phenomenon is reinterpreted in terms of transfer of…

Analysis of PDEs · Mathematics 2012-02-22 Clément Mouhot , Cédric Villani

Two decades ago, a phenomenon resembling Landau damping was described in the synchronization of globally coupled oscillators: the evidence of a regime where the order parameter decays when linear theory predicts neutral stability for the…

Chaotic Dynamics · Physics 2015-07-21 Tian Qiu , Yue Zhang , Jie Liu , Hongjie Bi , S. Boccaletti , Zonghua Liu , Shuguang Guan

Our last three papers provide an occasion to make some brief notes on ideology of waves in plasmas and to rehabilitate Vlasov prescription to calculate relevant logarithmically divergent integrals in the principal value sense. In this…

Plasma Physics · Physics 2007-05-23 V. N. Soshnikov

Landau damping/growing at boundary condition of excitation of a harmonic wave in collisionless ion-electron-neutrals plasma contradicts to the law of energy conservation of a wave damping/growing in space. There is also no criterion of a…

General Physics · Physics 2015-09-11 V. N. Soshnikov

Progress on the Intensity Frontier of high energy physics critically depends on record high intensity charged particles accelerators. Beams in such machines become operationally limited by coherent beam instabilities, particularly enhanced…

Accelerator Physics · Physics 2017-09-29 Yuri Alexahin , Alexey Burov , Vladimir Shiltsev

The decay of the Langmuir waves in dense plasmas is not accurately predicted by the prevalent Landau damping theory. A dielectric function theory is introduced, predicting much higher damping than the Landau damping theory. This strong…

Plasma Physics · Physics 2015-05-18 S. Son , S. Ku , Sung Joon Moon

We present the first assessment, using hybrid PIC simulations, of the role of non-linear Landau damping in the process of self-generated scattering in a high $\beta$ plasma, conditions appropriate for CR scattering in the halo of the…

High Energy Astrophysical Phenomena · Physics 2024-09-05 Benedikt Schroer , Damiano Caprioli , Pasquale Blasi

How turbulent energy is dissipated in weakly collisional space and astrophysical plasmas is a major open question. Here, we present the application of a field-particle correlation technique to directly measure the transfer of energy between…

Space Physics · Physics 2019-02-18 C. H. K. Chen , K. G. Klein , G. G. Howes

To address the problem of Landau damping in kinetic turbulence, the forcing of the linearized Vlasov equation by a stationary random source is considered. It is found that the time-asymptotic density response is dominated by resonant…

Plasma Physics · Physics 2015-06-05 G. G. Plunk

The effect of spin of particles in the propagation of plasma waves is studied using a semi-classical kinetic theory for a magnetized plasma. We focus in the simple damping effects for the electrostatic wave modes besides Landau damping.…

Plasma Physics · Physics 2010-05-17 Pablo S. Moya , Felipe A. Asenjo
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