Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy and the kinetic theory of dusty plasmas
Tóm tắt
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.
Tài liệu tham khảo
N. N. Bogoliubov, Problems of a Dynamical Theory in Statistical Physics [in Russian], Gostekhizdat, Moscow (1946); English transl. (Stud. Statist. Mech., Vol. 1), North-Holland, Amsterdam (1962).
Yu. L. Klimontovich and V. P. Silin, Zh. Ehksper. Teor. Fiz., 23, 151–160 (1952).
Yu. L. Klimontovich, The Statistical Theory of Non-Equilibrium Processes in a Plasma [in Russian], Moscow State Univ., Moscow (1967); English transl., Pergamon, Oxford (1967).
S. Ichimaru, Ann. Phys., 20, 78–118 (1962).
A. G. Sitenko, Fluctuations and Nonlinear Wave Interactions in Plasmas [in Russian], Naukova Dumka, Kiev (1977); (Internat. Ser. Natural Philos., Vol. 107), Pergamon, Oxford (1982).
S. Ichimaru, Statistical Plasma Physics, Addison-Wesley, Redwood City, Calif. (1992).
Yu. L. Klimontovich, H. Wilhelmsson, I. P. Yakimenko, and A. G. Zagorodny, Phys. Rep., 175, 263–401 (1989).
Yu. L. Klimontovich, Statistical Theory of Open Systems [in Russian], Vol. 2, Kinetic Theory of Plasma. Kinetic Theory of Phase Transitions of Second Order, Yanus-K, Moscow (1999).
V. E. Fortov, A. V. Ivlev, S. A. Khrapak, A. G. Khrapak, and G. E. Morfill, Phys. Rep., 421, 1–103 (2005).
V. E. Fortov, A. G. Khrapak, S. A. Khrapak, V. I. Molotkov, and O. F. Petrov, Phys. Usp., 47, 447–492 (2004).
P. P. J. M. Schram, A. G. Sitenko, S. A. Trigger, and A. G. Zagorodny, Contrib. Plasma Phys., 41, 211–214 (2001).
P. P. J. M. Schram, A. G. Sitenko, S. A. Trigger, and A. G. Zagorodny, Phys. Rev. E, 63, 016403 (2000).
A. V. Filippov, A. G. Zagorodny, A. F. Pal’, A. N. Starostin, and A. I. Momot, JETP Lett., 86, 761–766 (2007).
A. V. Filippov, A. G. Zagorodny, and A. I. Momot, JETP Lett., 88, 24–30 (2008).
N. N. Bogoliubov, Theor. Math. Phys., 24, 804–807 (1975).
D. Ya. Petrina and K. D. Petrina, Ukrainian Math. J., 50, 224–240 (1998).
P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev., 54, 511–525 (1954).
A. G. Zagorodny, A. V. Filippov, A. F. Pal’, A. N. Starostin, and A. I. Momot, Probl. Atomic Sci. and Technology, No. 6, 99–103 (2006).
A. V. Filippov, A. G. Zagorodny, A. I. Momot, A. F. Pal, and A. N. Starostin, JETP, 104, 147–161 (2007).
S. A. Khrapak, S. K. Zhdanov, A. V. Ivlev, and G. E. Morfill, J. Appl. Phys., 101, 033307 (2007).
M. Chandhuri, S. A. Khrapak, and G. E. Morfill, Phys. Plasmas, 14, 022102 (2007).