This article is cited in 4 papers

Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy and the kinetic theory of dusty plasmas

A. G. Zagorodnii

N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine

Abstract: We consider the modern state of a consistent kinetic theory of dusty plasmas. We present the derivation of equations for microscopic phase densities of plasma particles and grains. Such equations are suitable for extending the Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy to the case of dusty plasmas and for deriving the kinetic equations with regard for both elastic and inelastic particle collisions. Moreover, we describe the effective grain–grain potentials kinetically.

Keywords: BBGKY hierarchy, kinetic equation, dusty plasma, effective potential, dynamical screening.

Received: 05.02.2009

DOI: 10.4213/tmf6398

 English version: Theoretical and Mathematical Physics, 2009, 160:2, 1101–1112

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