Adiabatic representation for the three-body problem in hyperspherical coordinates. I. Statement of the problem

Kadomtsev, M. B.; Vinitskii, S. I.

doi:10.1088/0022-3700/20/21/020

Cited by 48 publications

(46 citation statements)

References 8 publications

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“…These intriguing observations, although not central to the subjects developed in this article, is reminiscent of reports on electron temperature or pressure "profile consistency" [12 − 13] reported from several experiments [1, 11 − 13]. The relationship seen experimentally are consistent with Kadomtsev's [3] and Biskamp's [2] predictions based on the idea of plasma self-organization to a state of minimum energy. The relation < σ >≈< j >≈< p > has been shown to follow from the plasma equilibrium force balance [4].…”

Section: Relation Between Viscosity and Conductivitysupporting

confidence: 81%

Relationship between viscosity and conductivity for tokamak plasmas

Asif¹

2009

Braz. J. Phys.

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The relation between parallel viscosity and the parallel conductivity for tokamak plasma has been derived by combining Ideal MHD equilibrium equations with the concept of universal profiles. It is obtained that the parallel viscosity Π and parallel conductivity σ in a tokamak are related by Π σ −1 = γ (U −U 0 )I/R, where U is the loop voltage, U 0 is attributed to polarization, I is the toroidal current and R is the major radius of the machine. The coefficient γ depends on para-or diamagnetism and on toroidal effects and exhibits a weak dependence on the minor radius.

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Section: Relation Between Viscosity and Conductivitysupporting

confidence: 81%

Relationship between viscosity and conductivity for tokamak plasmas

Asif¹

2009

Braz. J. Phys.

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“…The dynamics of density fluctuations can be described using the generalization of the BoltzmannLangevin formalism 46,47 to nonideal gases. 48 In this approach one describes the state of the system by a fluctuating distribution function f =f +δf averaged over a physically microscopic spatial scales (of order d in our case) containing a large number of particles.…”

Section: Qualitative Discussionmentioning

confidence: 99%

“…It is worth noting that in a wide temperature interval T c < T < T h [see Eqs. (46) and (47) ] the frequency of the plasmon modes contributing to drag, ω pl in Eq. (2), still exceeds the rate of electron collisions, so that their hydrodynamic treatment is inapplicable.…”

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confidence: 99%

Boltzmann-Langevin theory of Coulomb drag

2015

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We develop a Boltzmann-Langevin description of Coulomb drag effect in clean double-layer systems with large interlayer separation d as compared to the average interelectron distance λF . Coulomb drag arises from density fluctuations with spatial scales of order d. At low temperatures their characteristic frequencies exceed the intralayer equilibration rate of the electron liquid, and Coulomb drag may be treated in the collisionless approximation. As temperature is raised the electron mean free path becomes short due to electron-electron scattering. This leads to local equilibration of electron liquid and consequently drag is determined by hydrodynamic density modes. Our theory applies to both collisionless and hydrodynamic regime and enables us to describe the crossover between them. We find that drag resistivity exhibits nonmonotonic temperature dependence with multiple crossovers at distinct energy scales. At lowest temperatures Coulomb drag is dominated by the particle-hole continuum, whereas at higher-temperatures of the collision-dominated regime it is governed by the plasmon modes. We observe that fast intralayer equilibration mediated by electron-electron collisions ultimately renders stronger drag effect.

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“…We show in this Letter that any amount of background dissipation results in bursting instabilities, meaning that holes and clumps can be generated far from, as well as close to, the instability threshold. The underlying physics is that holes and clumps develop from negative energy waves, [15], which grow rather than damp as a result of dissipation. Their existence relies on the presence of a nearly unmodulated plateau in the fast particle distribution, whose interface with the surroundings is sharp enough to alter the dielectric response of the fast particles as to support waves near the plateau edge.…”

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confidence: 99%

Formation of Phase Space Holes and Clumps

Lilley

Nyqvist

2014

Phys. Rev. Lett.

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It is shown that the formation of phase space holes and clumps in kinetically driven, dissipative systems is not restricted to the near threshold regime, as previously reported and widely believed. Specifically, we observe hole-clump generation from the edges of an unmodulated phase space plateau, created via excitation, phase mixing and subsequent dissipative decay of a linearly unstable bulk plasma mode in the electrostatic bump-on-tail model. This has now allowed us to elucidate the underlying physics of the holeclump formation process for the first time. Holes and clumps develop from negative energy waves that arise due to the sharp gradients at the interface between the plateau and the nearly unperturbed, ambient distribution and destabilize in the presence of dissipation in the bulk plasma. We confirm this picture by demonstrating that the formation of such nonlinear structures in general does not rely on a "seed" wave, only on the ability of the system to generate a plateau. In addition, we observe repetitive cycles of plateau generation and erosion, the latter due to hole-clump formation and detachment, which appear to be insensitive to initial conditions and can persist for a long time. We present an intuitive discussion of why this continual regeneration occurs.

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Adiabatic representation for the three-body problem in hyperspherical coordinates. I. Statement of the problem

Cited by 48 publications

References 8 publications

Relationship between viscosity and conductivity for tokamak plasmas

Relationship between viscosity and conductivity for tokamak plasmas

Boltzmann-Langevin theory of Coulomb drag

Formation of Phase Space Holes and Clumps

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