The self-consistent kinetic theory of dusty plasmas [V. N. Tsytovich and U. de Angelis, Phys. Plasmas 6, 1093 (1999)] is extended to frequency regimes relevant for ion dynamics, accounting for both constant and fluctuating plasma sources. In contrast to earlier models, binary plasma collisions are no longer neglected with respect to collisions with dust; hence, the model developed here is also valid for low dust densities. Expressions are found for the system’s permittivity, the ion collision integral, and the spectral densities of ion density fluctuations. The structure of the ion kinetic equation is analyzed, and applications of the model for both astrophysical and laboratory environments are discussed.
REFERENCES
1.
2.
V. N.
Tsytovich
and U.
de Angelis
, Phys. Plasmas
6
, 1093
(1999
).3.
V. N.
Tsytovich
, U.
de Angelis
, A. V.
Ivlev
, and G. E.
Morfill
, Phys. Plasmas
12
, 082103
(2005
).4.
V. N.
Tsytovich
and U.
de Angelis
, Phys. Plasmas
7
, 554
(2000
).5.
V. N.
Tsytovich
and U.
de Angelis
, Phys. Plasmas
8
, 1141
(2001
).6.
V. N.
Tsytovich
and U.
de Angelis
, Phys. Plasmas
9
, 2497
(2002
).7.
V. N.
Tsytovich
and U.
de Angelis
, Phys. Plasmas
11
, 496
(2004
).8.
U.
de Angelis
, A. V.
Ivlev
, G. E.
Morfill
, and V. N.
Tsytovich
, Phys. Plasmas
12
, 052301
(2005
).9.
V. N.
Tsytovich
, U.
de Angelis
, and R.
Bingham
, Phys. Plasmas
9
, 1079
(2002
).10.
P.
Tolias
, S.
Ratynskaia
, and U.
de Angelis
, Phys. Plasmas
17
, 103707
(2010
).11.
P.
Tolias
, New J. Phys.
14
, 013002
(2012
).12.
U.
de Angelis
, R.
Bingham
, A.
Forlani
, and V. N.
Tsytovich
, Phys. Scr.
T98
, 163
(2002
).13.
S.
Ratynskaia
, M.
De Angeli
, U.
de Angelis
, C.
Marmolino
, G.
Capobianco
, M.
Lontano
, E.
Lazzaro
, G. E.
Morfill
, and G.
Gervasini
, Phys. Rev. Lett.
99
, 075002
(2007
).14.
Yu. L.
Klimontovich
, The Statistical Theory of Non-Equilibrium Processes in a Plasma
(Pergamon
, London
, 1967
).15.
16.
Yu. L.
Klimontovich
, Kinetic Theory of Non-Ideal Gases and Non-Ideal Plasmas
(Pergamon
, New York
, 1982
).17.
Yu. L.
Klimontovich
, Kinetic Theory of Electromagnetic Processes
(Springer
, Heidelberg
, 1983
).18.
V. N.
Tsytovich
, Lectures on Nonlinear Plasma Kinetics
(Springer
, Berlin
, 1995
).19.
A. F.
Aleksandrov
, L. S.
Bogdankevich
, and A. A.
Rukhadze
, Principles of Plasma Electrodynamics
(Springer
, New York
, 1984
).20.
P.
Tolias
, S.
Ratynskaia
, and U.
de Angelis
, Phys. Plasmas
18
, 073705
(2011
).21.
U.
de Angelis
, G.
Capobianco
, C.
Marmolino
, and C.
Castaldo
, Plasma Phys. Controlled Fusion
48
, B91
(2006
).22.
Yu. L.
Klimontovich
, H.
Wilhemsson
, I. P.
Yakimenko
, and A. G.
Zagorodny
, Phys. Rep.
175
, 263
(1989
).23.
P. L.
Bhatnagar
, E. P.
Gross
, and M.
Krook
, Phys. Rev.
94
, 511
(1954
).24.
P.
Tolias
, S.
Ratynskaia
, and U.
de Angelis
, Phys. Rev. E
85
, 026408
(2012
).25.
S.
Ichimaru
, Statistical Plasma Physics, Volume I: Basic Principles
(Addison Wesley
, Tokyo
, 1992
).26.
R.
Balescu
, Equilibrium and Non-Equilibrium Statistical Mechanics
(John Wiley & Sons
, New York
, 1975
).27.
V. N.
Tsytovich
, Sov. Phys. Usp.
32
, 911
(1989
).28.
R.
Kubo
, Rep. Prog. Phys.
29
, 255
(1966
).29.
P. K.
Shukla
and V. P.
Silin
, Phys. Scr.
45
, 508
(1992
).30.
P.
Ricci
, G.
Lapenta
, U.
de Angelis
, and V. N.
Tsytovich
, Phys. Plasmas
8
, 769
(2001
).31.
A. V.
Ivlev
, A.
Lazarian
, V. N.
Tsytovich
, U.
de Angelis
, T.
Hoang
, and G. E.
Morfill
, Astrophys. J.
723
, 612
(2010
).32.
C.
Marmolino
, U.
de Angelis
, A. V.
Ivlev
, and G. E.
Morfill
, Phys. Plasmas
16
, 033701
(2009
).33.
C.
Marmolino
, U.
de Angelis
, A. V.
Ivlev
, and G. E.
Morfill
, AIP Conf. Proc.
1061
, 105
(2008
).34.
S.
Ratynskaia
, M.
De Angeli
, E.
Lazzaro
, C.
Marmolino
, U.
de Angelis
, C.
Castaldo
, A.
Cremona
, L.
Laguardia
, G.
Gervasini
, and G.
Grosso
, Phys. Plasmas
17
, 043703
(2010
).© 2012 American Institute of Physics.
2012
American Institute of Physics
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