2002
DOI: 10.1063/1.1418720
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Properties of the Lenard–Balescu collision operator: A numerical study

Abstract: Average atom transport properties for pure and mixed species in the hot and warm dense matter regimes Phys. Plasmas 19, 102709 (2012) Hot-electron generation by "cavitating" Langmuir turbulence in the nonlinear stage of the two-plasmon-decay instability Phys. Plasmas 19, 102708 (2012) Spherical torus equilibria reconstructed by a two-fluid, low-collisionality model Phys. Plasmas 19, 102512 (2012) Space-charge-based electrostatic plasma confinement involving relaxed plasma species Phys. Plasmas 19, 102… Show more

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Cited by 8 publications
(4 citation statements)
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References 16 publications
(15 reference statements)
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“…Finally, it should be mentioned that, on longer timescales, the two streams are destroyed by the instability and the system evolves towards thermal equilibrium. This occurs over a characteristic time that scales as g −2 ∼ (nλ De ) 2 , in agreement with earlier results [9,11,12].…”
Section: Two-stream Instabilitysupporting
confidence: 92%
See 1 more Smart Citation
“…Finally, it should be mentioned that, on longer timescales, the two streams are destroyed by the instability and the system evolves towards thermal equilibrium. This occurs over a characteristic time that scales as g −2 ∼ (nλ De ) 2 , in agreement with earlier results [9,11,12].…”
Section: Two-stream Instabilitysupporting
confidence: 92%
“…The relaxation towards a Maxwellian distribution was also studied, revealing different scalings of the relaxation time for sub-populations of the particles and for the overall population [11]. The relaxation times were compared to the results of the Lenard-Balescu equation [12]. Other works investigated similar relaxation problems for the dynamics of self-gravitating systems [13].…”
Section: Introductionmentioning
confidence: 99%
“…In any case the classical equation considered by Dolinsky is divergent at large k and, unlike the quantum version, an artificial cutoff is needed. Besides Dolinksy, we know only of the somewhat related work of Ricci and Lapenta 15 , in which they consider a one-dimensional version of the Lenard-Balescu equation. While certainly interesting, their system is primarily of theoretical value (it cannot equilibrate, for example).…”
Section: Quantum Lenard-balescu Equationmentioning
confidence: 99%
“…Recognition of this similarity aids in deriving properties a physically meaningful collision operator should possess such as conservation laws and the Boltzmann H-theorem. By doing so, we generalize the Lenard-Balescu equation, which is typically referred to as a highly accurate correction of the Landau collision operator, 7,8 to describe scattering by a fundamentally different physical mechanism that can be applied to an entirely new class of problems. Problems of interest involving convective instabilities include collisions in the presence of the ion-acoustic instability, 9 non-Maxwellian plasmas, 10 and anomalous resistivity.…”
Section: Introductionmentioning
confidence: 99%