Expansion of single-particle distribution functions with respect to effective long-range potentials

1982 ◽  
Vol 53 (1) ◽  
pp. 988-993
Author(s):  
V. L. Kuz'min
Keyword(s):  
Long Range ◽  
Single Particle ◽  
Particle Distribution ◽  
Distribution Functions

On one form of equations chains for equilibrium many-particle distribution functions

1997 ◽  
Vol 1 (3) ◽  
pp. 459-468
Author(s):  
Yu. V. Slusarenko
Keyword(s):  
Particle Distribution ◽  
Distribution Functions

scholarly journals On Minimum-B Stabilization of Electrostatic Drift Instabilities

1966 ◽  
Vol 21 (11) ◽  
pp. 1953-1959 ◽  
Author(s):  
R. Saison ◽  
H. K. Wimmel
Keyword(s):  
Dispersion Relation ◽  
Particle Distribution ◽  
Inhomogeneous Plasma ◽  
Distribution Functions ◽  
Loss Cone ◽  
First Order ◽  
Stabilization Theorem ◽  
The Stability ◽  
Necessary And Sufficient ◽  
Limiting Case

A check is made of a stabilization theorem of ROSENBLUTH and KRALL (Phys. Fluids 8, 1004 [1965]) according to which an inhomogeneous plasma in a minimum-B field (β ≪ 1) should be stable with respect to electrostatic drift instabilities when the particle distribution functions satisfy a condition given by TAYLOR, i. e. when f0 = f(W, μ) and ∂f/∂W < 0 Although the dispersion relation of ROSENBLUTH and KRALL is confirmed to first order in the gyroradii and in ε ≡ d ln B/dx z the stabilization theorem is refuted, as also is the validity of the stability criterion used by ROSEN-BLUTH and KRALL, ⟨j·E⟩ ≧ 0 for all real ω. In the case ωpi ≫ | Ωi | equilibria are given which satisfy the condition of TAYLOR and are nevertheless unstable. For instability it is necessary to have a non-monotonic ν ⊥ distribution; the instabilities involved are thus loss-cone unstable drift waves. In the spatially homogeneous limiting case the instability persists as a pure loss cone instability with Re[ω] =0. A necessary and sufficient condition for stability is D (ω =∞, k,…) ≦ k2 for all k, the dispersion relation being written in the form D (ω, k, K,...) = k2+K2. In the case ωpi ≪ | Ωi | adherence to the condition given by TAYLOR guarantees stability.

scholarly journals Characteristics of long-range transported PM2.5 at a coastal city using the single particle aerosol mass spectrometry

2019 ◽  
Vol 24 (4) ◽  
pp. 690-698 ◽  
Author(s):  
Qiuliang Cai ◽  
Lei Tong ◽  
Jingjing Zhang ◽  
Jie Zheng ◽  
Mengmeng He ◽  
...  
Keyword(s):  
Mass Spectrometry ◽  
Long Range ◽  
Single Particle ◽  
Coastal City ◽  
Aerosol Mass ◽  
Aerosol Mass Spectrometry

scholarly journals Inter-particle distribution functions for one-species diffusion-limited annihilation, A + A → 0

1995 ◽  
Vol 206 (1-2) ◽  
pp. 18-25 ◽  
Author(s):  
Pablo A. Alemany ◽  
Daniel ben-Avraham
Keyword(s):  
Particle Distribution ◽  
Distribution Functions ◽  
Diffusion Limited ◽  
Species Diffusion

A perturbation method for the Vlasov–Poisson system

1998 ◽  
Vol 60 (1) ◽  
pp. 181-192 ◽  
Author(s):  
JONAS LUNDBERG ◽  
TOR FLÅ
Keyword(s):  
Perturbation Method ◽  
Particle Distribution ◽  
Distribution Functions ◽  
Poisson System ◽  
Nonlinear Wave Propagation ◽  
Starting Point ◽  
Self Consistent ◽  
Good Starting Point ◽  
New Perturbation ◽  
Lie Transformations

A perturbation method for the Vlasov–Poisson system is presented. It is self-consistent and entirely based on Lie transformations, which are considered as active transformations, generating the dynamics of the particle distribution function in the space of distribution functions. The main result is a set of three equations that forms a good starting point for a wide variety of problems concerning nonlinear wave propagation. Besides being efficient, the new perturbation method is systematic and therefore also suited for the use of computer algebra.

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