Statistical theory of dusty plasmas: Microscopic equations and Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy

Schram, Ppjm Piet; Sitenko, A.G.; Trigger, S. A.; Zagorodny, A. G.

doi:10.1103/physreve.63.016403

Cited by 36 publications

(73 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…(25), the dust translational temperature in the Maxwellian gas tends to 2T 0 [4]. However, due to the absence of the friction torque within the adopted model, there is no steady behaviour with respect to the rotational degrees of freedom.…”

Section: Eq (28) Is Reduced To the Diffusion Equation By Changing Thmentioning

confidence: 99%

“…The collision terms in the right-hand sides of Eqs. (7,8) account for gas absorption by dust grains; similar terms were introduced in [4]. The convenient short-hand forms of these terms are…”

Section: Bmentioning

confidence: 99%

“…and N n (p, r, t) as smooth one-particle distribution functions; in details the procedure was discussed in [4]. Then we integrate over Γ ′ in Eq.…”

Section: Bmentioning

confidence: 99%

“…The kinetic description of dusty plasma was discussed in numerous theoretical studies [3,4,5,6,7,8,9]. Generally, there are two ways plasma particles interact with dust grains: first, the scattering of a particle by grain electric field and, second, the direct impact of a particle on a grain surface.…”

Section: Introductionmentioning

confidence: 99%

“…In other words, as it is well-understood nowadays, the adequate statistical description of the dust component should take into account inner degrees of freedom, the most important among which is the grain charge. Kinetic consideration of charging process shows that absorption of small plasma particles by grains can result in inequality of the grain temperature and the temperatures of the light components even for the case of equal temperatures of electrons and ions [3,4].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Rotational kinetics of absorbing dust grains in neutral gas

et al. 2002

Self Cite

View full text Add to dashboard Cite

We study the rotational and translational kinetics of massive particulates (dust grains) absorbing the ambient gas. Equations for microscopic phase densities are deduced resulting in the Fokker-Planck equation for the dust component. It is shown that although there is no stationary distribution, the translational and rotational temperatures of dust tend to certain values, which differ from the temperature of the ambient gas. The influence of the inner structure of grains on rotational kinetics is also discussed.

show abstract

Section: Eq (28) Is Reduced To the Diffusion Equation By Changing Thmentioning

confidence: 99%

Section: Bmentioning

confidence: 99%

“…and N n (p, r, t) as smooth one-particle distribution functions; in details the procedure was discussed in [4]. Then we integrate over Γ ′ in Eq.…”

Section: Bmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Rotational kinetics of absorbing dust grains in neutral gas

et al. 2002

Self Cite

View full text Add to dashboard Cite

show abstract

Charging Kinetics of Dust Particles with a Variable Mass

Trigger

2001

Contrib. Plasma Phys.

View full text Add to dashboard Cite

Fokker‐Planck equation with velocity‐dependent coefficients: Application to dusty plasmas and active particles

Trigger¹,

Ébeling

Ignatov

et al. 2003

Contrib. Plasma Phys.

View full text Add to dashboard Cite

Self-consistent and universal description of friction and diffusion for Brownian particles in such various systems as dusty plasma and active particles (e.g., cells in biological systems) is presented. Generalized friction function is determined to describe the friction force itself as well as a drag force in the case of non-zero driven ion velocity in plasmas.Brownian dynamics nowadays is in the focus of interest due to the wide fields of applications: physicalchemical systems, dusty plasmas, various objects in biological systems. Existence of the Einstein relation and even the correct specific forms of the Fokker-Planck equation for such systems are not still completely clarified. Recently the friction and diffusion coefficients as functions of the grain velocity V were rigorously calculated for dusty plasmas [1]. Due to ion absorption by grains the friction coefficient can become negative [2]. In this work we develop a general approach based on the probability transition (PT) [3], to the calculation of the velocity dependent friction and diffusion coefficients for such different systems as dusty plasmas (within the well known model with a fix grain mass) and active particles, e.g. cells.The friction and diffusion coefficients β(V ) and D(V ) = D (V ) (tensorial character of D for the cases considered here is negligible) are determined via the probability transition w(P, q) asHere (Pq) is the scalar product in velocity space of the dimension s and P ≡ M V.Therefore it is impossible to define the friction and diffusion coefficients independently not only for the processes, which describe the systems close to thermodynamic equilibrium, when the Einstein relation is a priori valid, but also for the systems in which there is stationary, but non-equilibrium state, or for the systems far from equilibrium. For the Boltzmann-type collisions between light particles (conventionally atoms) and grains with the masses, respectively, m and M (m M ), the PT function w(P, q) and the coefficients β(V ) and D(V ) can be calculated for an arbitrary cross-section [3]. The Einstein relation is violated only for extremely high grain velocity values V > T /m, where T is the atomic temperature. For spherical grains of radius a the interpolation relation between the diffusion and friction coefficients with the exact velocity asymptotes is:

show abstract

Statistical theory of dusty plasmas: Microscopic equations and Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy

Cited by 36 publications

References 9 publications

Rotational kinetics of absorbing dust grains in neutral gas

Rotational kinetics of absorbing dust grains in neutral gas

Charging Kinetics of Dust Particles with a Variable Mass

Fokker‐Planck equation with velocity‐dependent coefficients: Application to dusty plasmas and active particles

Contact Info

Product

Resources

About