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775
On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem
 Indiana Univ. Math. J
, 2009
"... Abstract. In this paper we prove the existence of a large class of periodic solutions of the VlasovPoisson in one space dimension that decay exponentially as t → ∞. The exponential decay is well known for the linearized version of the Landau damping problem. The results in this paper provide the f ..."
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Cited by 9 (0 self)
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Abstract. In this paper we prove the existence of a large class of periodic solutions of the VlasovPoisson in one space dimension that decay exponentially as t → ∞. The exponential decay is well known for the linearized version of the Landau damping problem. The results in this paper provide
On Landau damping
, 2009
"... Abstract. In this note we present the main results from the recent work [16], which for the first time establish Landau damping in a nonlinear context — for all times if the interaction is less singular than Coulomb or Newton, and for exponentially large times in the case of these potentials. Keywor ..."
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Cited by 38 (1 self)
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Abstract. In this note we present the main results from the recent work [16], which for the first time establish Landau damping in a nonlinear context — for all times if the interaction is less singular than Coulomb or Newton, and for exponentially large times in the case of these potentials
ModeCoupling and Nonlinear Landau Damping Effects in Auroral FarleyBuneman Turbulence
, 1998
"... The fundamental problem of FarleyBuneman turbulence in the auroral Eregion has been discussed and debated extensively in the past two decades. In the present paper we intend to clarify the different steps that the auroral Eregion plasma has to undergo before reaching a steady state. The modecoup ..."
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coupling calculation, for FarleyBuneman turbulence, is developed in order to place it in perspective and to estimate its magnitude relative to the anomalous effects which arise through the nonlinear waveparticle interaction. This nonlinear effect, known as nonlinear “Landau damping ” is due to the coupling of waves
LOSS OF LANDAU DAMPING FOR BUNCH OSCILLATIONS
"... Abstract Conditions for the existence, uniqueness and stability of selfconsistent bunch steady states are considered. For the existence and uniqueness problems, simple algebraic criteria are derived for both the action and Hamiltonian domain distributions. For the stability problem, van Kampen the ..."
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Abstract Conditions for the existence, uniqueness and stability of selfconsistent bunch steady states are considered. For the existence and uniqueness problems, simple algebraic criteria are derived for both the action and Hamiltonian domain distributions. For the stability problem, van Kampen
Landau Damping in Formation and Propagation of Dust Ion Acoustic Perturbations in Complex
"... 1. Lowfrequency dust ion acoustic (DIA) perturbations can propagate in cosmic plasma environments, dusty plasma of Earth's mesosphere. They have a relevance to lowfrequency noise in the Fring of Saturn [1]. In laboratory complex plasmas the investigation of linear [2] and nonlinear [3 5] DIA w ..."
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waves has been performed. The signicant problem in description of both linear and nonlinear (shocks, solitons) DIA waves is the correct calculation of the Landau damping (or growth) rates. In particular, as it has been mentioned in [3], Landau damping effect can prevent the formation of DIA shocks
Classical Statistical Mechanics and Landau Damping
, 1997
"... We study the retarded response function in scalar φ 4theory at finite temperature. We find that in the hightemperature limit the imaginary part of the selfenergy is given by the classical theory to leading order in the coupling. In particular the plasmon damping rate is a purely classical effect ..."
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Cited by 1 (0 self)
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to leading order, as shown by Aarts and Smit. The dominant contribution to Landau damping is given by the propagation of classical fields in a heat bath of noninteracting fields. In the hightemperature phase of the standard model of electroweak interactions baryonnumber and leptonnumber violating
Laser light triggers increased Raman amplification in the regime of nonlinear Landau damping
"... Stimulated Raman backscattering (SRS) has many unwanted effects in megajoulescale inertially confined fusion (ICF) plasmas. Moreover, attempts to harness SRS to amplify short laser pulses through backward Raman amplification have achieved limited success. In hightemperature fusion plasmas, SRS usu ..."
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Landau damping with increasing Langmuir wave amplitude and determine its effects on Raman amplification. The threshold for trapping effects to influence the amplification is shown to be very low. Above threshold, the complex SRS dynamics results in increased amplification factors, which partly explains
Landau damping of partially incoherent Langmuir waves Submitted
, 2002
"... 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 Landautype damping. Starting from the Zakharov equations, which describe the nonlinear interaction between Langmuir and ionacoustic waves, a kinetic equation is ..."
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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 Landautype damping. Starting from the Zakharov equations, which describe the nonlinear interaction between Langmuir and ionacoustic waves, a kinetic equation
LANDAU DAMPING OF LONGITUDINAL MULTIBUNCH INSTABILITIES IN DAΦNE
, 1993
"... One of the main problems in the beam dynamics in DAΦNE are the multibunch instabilities caused by the strong coupling between the beam and parasitic HOMs of the RF cavity [1]. Strong efforts have been done to optimize the RF cavity shape [2] and to apply different HOM damping tech ..."
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One of the main problems in the beam dynamics in DAΦNE are the multibunch instabilities caused by the strong coupling between the beam and parasitic HOMs of the RF cavity [1]. Strong efforts have been done to optimize the RF cavity shape [2] and to apply different HOM damping tech
Landau Equation
, 1992
"... On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation ..."
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On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation
Results 1  10
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775