Abstract
Although a general description of the pair grain interaction can be directly obtained from fluctuations of grain distributions and grain pair correlation function, we prefer here to give a simple description of the collective interaction using the model of a “test” grain in a “sea” of all other grains. In the limit of linear fluctuations this can lead to a direct description of the grain interaction in the presence of many grains (with collective effects included) for β ≪ 1. But using this approach we will also be able to demonstrate how the non-linearity changes the collective interaction for β ≫ 1.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D. Gross (2001). Micro-canonical Thermodynamics, Phase Transitions in“Small” Systems, World Scientific Lecture Notes in Physics 66.
V. Tsytovich (1995). Lectures on Nonlinear Plasma Kinetics Springer Verlag, Berlin.
H. Thomas, D. Morfill, V. Demmel, and J. Goree (1994). Phys.Rev.Lett. 73, 652.
J.U. Chu and I. Lin (1994). Physica A 205, 183.
A. Melzer, T. Trottenberg, and A. Piel (1994). Phys.Lett. A 191, 301.
Y. Hayashi, K. Tachibana (1994). Jpn. Appl. Phys. 33, L804.
V. Fortov, A. Nefedov, O. Petrov, A. Samarin and A. Chernychev (1996). Phys. Let.A 219, 89.
V. Tsytovich (1994). Comm PL Phys. Contr. Fus. 15, 349.
L. Landau and E. Lifshitz (1955). Electrodynamics of Continuous Media Pegramon press, London N.Y.
S. Hamaguichi (1997). Comm Pl. Phys.Contr.Fus. 18, 95.
Ya. Khodataev, R. Bingham, V. Tarakanov, and V. Tsytovich (1996). Fiz. Plazmy (Russia), 22, 1028.
A. Ignatov (1995). Comments P.N.lebedev Inst.A 58, 1.
Ya. Khodataev, G. Morfill, and V. Tsytovich (2001). J. Plasma Phys. 65, 257.
M. Lampe, V. Gavrishchaka, G. Ganguli, and G. Joyce (2001). Phys. Rev. Lett. 86, 5278.
M. Lampe, G. Joyce, and G. Ganguli (2001). Phys. Scr. T89, 106.
V. Tsytovich, Ya. Khodataev, and R. Bingham (1996). Comments on Plasma Phys. Contr. Fusion 17, 249.
Sh. Amiranashvili Sh., N. Duseinzade and V. Tsytovich V.(1999), Phys,Rev.A, 8, 3110.
Ya. Khodataev, G. Morfill, and VVV. Tsytovich (2001). J. Plasma Phys. 65, 257.
V. Tsytovich, Ya. Khodataev, G. Morfill, R. Bingham, and J. Winter (1998). Comments in Plasma Physics and Controlled Fusion 18, 281.
R. Bingham and V. Tsytovich (2001). IEEE Trans. Plasma Sci. 29, 158.
S.V. Vladimirov, K. Ostrikov, and A.A. Samarian (2005). Physics and Applications of Complex Plasmas, Imperial College, London.
S.V. Vladimirov and K. Ostrikov (2004). Phys. Rep. 393, 175.
L. Spitzer (1978). Physical Processes in the Interstellar Medium, John Wiley and Sons, New York.
S. Weidenschilling and J. Cuzzi (1993). Protostars and Planets III, edited by E. Levy and J. Lunine, Univ. Arizona Press, Tucson, p. 1031.
S. Kempf, S. Pfalzner, and T. Henning (1999). Icarces 141, 388.
P. Meaking (1991). Rev. Geophys. Res. 29, 317.
J. Blum, G. Wurm, S. Kempf et al.(2000). Phys. Rev. Lett. 85, 2426.
L. Boufendi and A. Boushoule (1994). Plasma Sources Sci. Technol. 3, 262.
A. Bouchoule (1999). Technological Impacts of Dusty Plasmasin: Dusty Plasmas: Physics, Chemistry and Technological Impacts in Plasma Processing.John Wiley and Sons.
J. Blum and G. Wurm.(2000). 143, 138.
A. Gasgarden et al.(1994). Plasma Sources Sci. Technol. 3, 329.
A. Boushoule et al.(1991). J.Appl.Phys. 70, 1991.
V. Tsytovich and J. Winter (1998). Phys. Uspekchi 41, 815.
J. Winter (1996). Plasma Phys. Control Fusion 38, 1503.
J. Winter, A. Nefedov, and V. Fortov (2001). J. Nucl. Materials 290–293, 509.
A. Kukushkin and A. Rantzev-Kartinov (1999). Long Lived Filaments in Fusion Plasmas: Review of Observations and status of Hypothesys of micro-product assembled skeletons (Preprint INNN RFS “Kurchatov Institute”).
S.V. Vladimirov, S.A. Maiorov, and N.F. Cramer (2003). Phys. Rev. E 67, 016407.
S.V. Vladimirov, S.A. Maiorov, and O. Ishihara (2003). Phys. Plasmas 10, 3867.
A.A. Samarian, S.V. Vladimirov, and B.W. James (2005). JETP Lett. 82, 858.
V. Tsytovich and G. Morfill (2002). Fiz. Plazmy (Russia), 28 195;
V. Tsytovich and G. Morfill (2002). Plasma Physics Reports 28, 171.
V. Tsytovich. (2003). JEPT Lett. 78, 763.
R. Kompaneetz, V. Tsytovich, and G. Morfill (2004). EEE Trans Sc special issue “Dusty Plasma”, “Weak Dust ion -acoustic and Dust-acoustic solitons with absorption of ions, ionisation and ion drag” (April 2004).
U. Konopka, D. Samsonov, A. Ivlev, J. Goree, V. Steinberg, V., and G. Morfill, G. (2000). Phys. Rev. E 61, 1890.
O. Ishihara and N. Sato (2001) IEEE Trans. Plasma Sci. 29, 179.
V. Tsytovich (2004). Contr. to Plasma Phys. 44, 26.
V. Tsytovich (2005). JETP Lett. 81, 448.
V. Tsytovich (2005). Contr. to Plasma Phys. 45, 230.
C. Castaldo, U. de Angelis, and V. Tsytovich (2006). Phys. Rev.Lett. 96, 075004.
V. Tsytovich, R. Kompaneets, U. de Angelis and C. Castaldo (2005). Contr. to Plasma Phys. 45, 288.
V. Tsytovich and R. Companeets (2005). Contr. to Plasma Phys. 45, 265.
Y. Al’pert, A. Gurevich, and L. Pitaevsky (1965). Space Physics with Artificial Sattelites, p. 186 (Consultant Bureaut), London, NY.
J. Laframboise and L. Parker (1973). Phys. Fluids 16, 629–36.
V. Tsytovich and G. Morfill (2004). Plasma Physics and Contrelled Fusion, 45, Number 13A, Special issue: Invited papers from the 31th European Physical Society Conference on Controlled Fusion and Plasma Physics, London, 28 June 2 Jely 2004, Institite of Physics Publishing.
U. Konopka, L. Ratke, and H. Thomas (1997). Phys. Rev. Lett. 79, 1269.
U. Konopka, G. Morfill, H. Thomas, and L. Ratke (1998). AIP Conf. Proc. 446, 53.
U. Konopka, G. Morfill, and L. Ratke (2000). Phys. Rev. Lett. 84, 891.
A. Ivlev, U. Konopka, G. Morfill (2000). Phys. Rev. E 62, 2739.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Tsytovich, V.N., Morfill, G.E., Vladimirov, S.V., Thomas, H.M. (2008). Micro-particle Collective and Non-collective Pair Interactions. In: Elementary Physics of Complex Plasmas. Lecture Notes in Physics, vol 731. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-29003-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-540-29003-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06703-7
Online ISBN: 978-3-540-29003-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)