Geodesic
Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy and the kinetic theory of dusty plasmas
Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 2, pp. 276-289 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {A. G. Zagorodnii},
     title = {Bogoliubov{\textendash}Born{\textendash}Green{\textendash}Kirkwood{\textendash}Yvon hierarchy and the~kinetic theory of dusty plasmas},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2009_160_2_a3/}
}
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A. G. Zagorodnii. Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy and the kinetic theory of dusty plasmas. Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 2, pp. 276-289. http://geodesic.mathdoc.fr/item/TMF_2009_160_2_a3/

[1] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M.-L., 1946 | MR | MR | Zbl

[2] Yu. L. Klimontovich, V. P. Silin, ZhETF, 23 (1952), 151–160 | Zbl

[3] Yu. L. Klimontovich, Statisticheskaya teoriya neravnovesnykh protsessov v plazme, MGU, M., 1967 | MR | Zbl

[4] S. Ichimaru, Ann. Phys., 20:1 (1962), 78–118 | DOI | MR | Zbl

[5] A. G. Sitenko, Fluktuatsii i nelineinoe vzaimodeistvie voln v plazme, Naukova dumka, Kiev, 1977 | MR | Zbl

[6] S. Ichimaru, Statistical Plasma Physics, Addison–Wesley, Redwood City, CA, 1992

[7] Yu. L. Klimontovich, H. Wilhelmsson, I. P. Yakimenko, A. G. Zagorodny, Phys. Rep., 175:5–6 (1989), 263–401 | DOI

[8] Yu. L. Klimontovich, Statisticheskaya teoriya otkrytykh sistem. T. 2. Kineticheskaya teoriya plazmy. Kineticheskaya teoriya fazovykh perekhodov vtorogo roda, Yanus-K, M., 1999

[9] V. E. Fortov, A. V. Ivlev, S. A. Khrapak, A. G. Khrapak, G. E. Morfill, Phys. Rep., 421:1–2 (2005), 1–103 | DOI | MR

[10] V. E. Fortov, A. G. Khrapak, S. A. Khrapak, V. I. Molotkov, O. F. Petrov, UFN, 174:5 (2004), 495–544 | DOI | MR

[11] P. P. J. M. Schram, A. G. Sitenko, S. A. Trigger, A. G. Zagorodny, Contrib. Plasma Phys., 41:2–3 (2001), 211–214 | DOI

[12] P. P. J. Schram, A. G. Sitenko, S. A. Trigger, A. G. Zagorodny, Phys. Rev. E, 63:1 (2000), 016403 | DOI

[13] A. V. Filippov, A. G. Zagorodnii, A. F. Pal, A. N. Starostin, A. I. Momot, Pisma v ZhETF, 86:12 (2007), 873–878 | DOI

[14] A. V. Filippov, A. G. Zagorodnii, A. I. Momot, Pisma v ZhETF, 88:1 (2008), 27–33 | DOI

[15] N. N. Bogolyubov, TMF, 24:2 (1975), 242–247 | DOI | MR

[16] D. Ya. Petrina, K. D. Petrina, Ukr. mat. zhurn., 50:2 (1998), 195–210 | DOI | MR | Zbl

[17] P. L. Bhatnagar, E. P. Gross, M. Krook, Phys. Rev., 54:3 (1954), 511–525 | DOI | MR

[18] A. G. Zagorodny, A. V. Filippov, A. F. Pal', A. N. Starostin, A. I. Momot, Probl. Atomic Sci. and Technology, 2006, no. 6, 99–103

[19] A. V. Filippov, A. G. Zagorodnii, A. I. Momot, A. F. Pal, A. N. Starostin, ZhETF, 131:1 (2007), 164–179 | DOI

[20] S. A. Khrapak, S. K. Zhdanov, A. V. Ivlev, G. E. Morfill, J. Appl. Phys., 101:3 (2007), 033307 | DOI

[21] M. Chandhuri, S. A. Khrapak, G. E. Morfill, Phys. Plasmas, 14:2 (2007), 022102 | DOI