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As an extension of previous theoretical study on the coherent structure resonance due to space charge effects [Chao Li and R. A. Jameson, Phys. Rev. Accel. Beams 21, 024204, 2018], this paper aims to demonstrate how the beam, as a whole, is…

Accelerator Physics · Physics 2019-06-05 Zhicong Liu , Chao Li , Qing Qin

The beam-plasma instability can be addressed as a reduced model in several contexts of plasma physics, from space to fusion plasma. In this paper, we review and refine some non-linear features of this model. Specifically, by analyzing the…

Plasma Physics · Physics 2020-09-04 Nakia Carlevaro , Giovanni Montani , Matteo Valerio Falessi

The microbunching instability usually exists in the LINAC of a free electron laser (FEL) facility. In many cases, the longitudinal space charge (LSC) is a dominant factor that generates the instability. For the highly bright electron beams,…

Accelerator Physics · Physics 2013-10-01 Dazhang Huang , King Yuen Ng , Qiang Gu

The paper deals with the interaction between buckling and resonance instabilities of mechanical systems. Taking into account the effect of geometric nonlinearity in the equations of motion through the geometric stiffness matrix, the problem…

Exactly Solvable and Integrable Systems · Physics 2008-02-07 Alberto Carpinteri , Marco Paggi

We focus our attention on some relevant aspects of the beam-plasma instability in order to refine some features of the linear and non-linear dynamics. After a re-analysis of the Poisson equation and of the assumption dealing with the…

Plasma Physics · Physics 2020-10-23 Nakia Carlevaro , Matteo Del Prete , Giovanni Montani , Fabio Squillaci

The beam-plasma instability, i.e. the response of the plasma bulk to the injection of supra thermal charged-particle beams, results to be appropriately characterized by a long-range interaction system. This physical system hosts a number of…

It is well-known that the resonance phenomena can destroy the adiabatic invariance and cause chaos and mixing. In the present paper we show that the nonlinear wave-particle resonant interaction may cause the emergence of large-scale…

Plasma Physics · Physics 2019-02-13 Fan Wu , Dmitri Vainchtein , Anton Artemyev

In this paper we present a quantitative measurement of the change in frequency (tune) with intensity of four transverse resonances in a high intensity Gaussian beam. Due to the non-linear space charge forces present in high intensity beams,…

Accelerator Physics · Physics 2019-06-04 Lucy Martin , Shinji Machida , David Kelliher , Suzie Sheehy

A survey is presented of current investigations of the impact of band structure effects on various aspects of the interaction of charged particles with real solids. The role that interband transitions play in the decay mechanism of bulk…

Materials Science · Physics 2009-10-31 J. M. Pitarke , I. Campillo

This study investigates the streaming instability triggered by ion motion in a plasma system that is finite in length, collisionless, and inhomogeneous. Employing numerical simulations using Particle-In-Cell (PIC) techniques and kinetic…

Plasma Physics · Physics 2024-05-07 R. Mishra , R. Moulick , S. Adhikari , S. Marholm , A. J. Eklund , W. J. Miloch

In a recent one-dimensional numerical fluid simulation study [Saxena et al., Phys. Plasmas 13,032309 (2006)], it was found that an instability is associated with a special class of one-dimensional nonlinear solutions for modulated light…

Plasma Physics · Physics 2008-09-12 Vikrant Saxena , Amita Das , Sudip Sengupta , Predhiman Kaw , Abhijit Sen

The gravitation interaction between particles is taken into account in central configuration model. After that, the resonance perturbation of the particle of the central configuration by distant satellite is considered in the restricted…

Dynamical Systems · Mathematics 2007-05-23 A. E. Rosaev

A systematic method is proposed for the determination of the statistical properties of a field consisting of a coherent structure interacting with turbulent linear waves. The explicit expression of the generating functional of the…

Plasma Physics · Physics 2009-11-07 F. Spineanu , M. Vlad

Along with $\pi^0$ and $\eta$ mesons, a resonance structure in the invariant mass spectrum of two photons at $M_{\gamma\gamma}= 360 \pm 7 \pm 9$ MeV is observed in the reaction $d C\to\gamma + \gamma +X$ at momentum 2.75 GeV/c per nucleon.…

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

We consider a perturbative approach to the Vlasov-Poisson system for cosmic structure formation that does not rely on any truncation of the momentum-cumulant hierarchy. The generally non-trivial linear solution is computed by solving a…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 Hannes Heisler , Marvin Sipp , Matthias Bartelmann

Building on the Radon transform of the Vlasov-Poisson equations, a macroscopic fluid model for the coherent beam-beam interaction has been developed. It is shown that the Vlasov equation, expressed in action-angle variables, can be reduced…

Accelerator Physics · Physics 2008-11-26 Stephan I. Tzenov , Ronald C. Davidson

This paper reviews resent theoretical and experimental research on physical processes in compensated negative-ion beams. A previous review was published by one of the authors in Ref. [1]. The present paper summarizes the new results of…

Plasma Physics · Physics 2007-05-23 I. A. Soloshenko , V. N. Gorshkov , A. M. Zavalov

Plasma sheaths are inhomogeneous stationary states that form when a plasma is in contact with an absorbing wall. We prove linear and non linear stability of a kinetic sheath stationary state for a Vlasov-Poisson type system in a bounded…

Analysis of PDEs · Mathematics 2025-06-09 Mehdi Badsi

Plasma instabilities can be encountered in many branches of physics. This work focuses on relativistic plasmas with applications in theoretical astrophysics and particle accelerator physics. Even though these fields seem to be unrelated the…

High Energy Astrophysical Phenomena · Physics 2009-04-20 Bjoern S. Schmekel
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