Abstract
The formation of a steady-state nonequilibrium distribution function of particles interacting through the repulsive potential U ~ α/r β(1≤β≤4), which operates at an infinite range, is studied numerically. The collisional particle dynamics in such a system is investigated using a spatially homogeneous nonlinear collision integral in the Landau-Fokker-Planck form, which is a model Boltzmann collision integral for arbitrary potentials of interaction accompanied by little momentum transfer between particles in collisions. Numerical modeling is based on completely conservative difference schemes. It is shown that the principal condition for the existence of steady-state nonequilibrium distributions is the presence of a particle or an energy flux oriented in the proper manner in momentum space. A steady-state local distribution exists inside the momentum interval between the energy source and sink and has the form of a gradually decreasing function. Since a radical change in the distribution function under nonequilibrium conditions leads to an anomalous enhancement of the conduction of a medium and its emission characteristics, the results obtained can be used, e.g., to predict the behavior of semiconductors with an intrinsic or extrinsic conductivity under the action of particle fluxes or electromagnetic radiation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. A. Trubnikov, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963; Consultants Bureau, New York, 1963), Vol. 1.
V. P. Silin, Introduction to the Kinetic Theory of Gases (Nauka, Moscow, 1971).
V. I. Karas’, Pis’ma Zh. Tekh. Fiz. 1, 1020 (1975) [Sov. Tech. Phys. Lett. 1, 438 (1975)].
A. S. Assovskaya, E. B. Ivkin, and B. G. Kolomiets, Pis’ma Zh. Tekh. Fiz. 2, 305 (1976) [Sov. Tech. Phys. Lett. 2, 44 (1976)].
W. L. Knecht, Appl. Phys. Lett. 6, 96 (1965).
W. L. Knecht, Appl. Phys. Lett. 8, 254 (1966).
S. I. Anisimov, Ya. A. Imas, G. S. Romanov, and Yu. V. Khodyko, High-Power Radiation Action on Metals (Nauka, Moscow, 1970).
V. I. Karas’, S. S. Moiseev, and V. E. Novikov, in Proceedings of the XV International Conference on Phenomena in Ionized Gases, Minsk, 1981, Vol. 1, p. 73.
A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 299 (1941).
V. E. Zakharov, Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 35 (1965).
A. V. Kats, V. M. Kontorovich, S. S. Moiseev, and V. E. Novikov, Pis’ma Zh. Éksp. Teor. Fiz. 21, 13 (1975) [JETP Lett. 21, 5 (1975)].
V. I. Karas’, S. S. Moiseev, and V. E. Novikov, Pis’ma Zh. Éksp. Teor. Fiz. 21, 525 (1975) [JETP Lett. 21, 245 (1975)].
V. I. Karas’, S. S. Moiseev, and V. E. Novikov, Zh. Éksp. Teor. Fiz. 71, 1421 (1976) [Sov. Phys. JETP 44, 744 (1976)].
V. I. Karas’, S. S. Moiseev, and A. P. Shuklin, Ukr. Fiz. Zh. 25, 820 (1980).
A. V. Bobylev, I. F. Potapenko, and V. A. Chuyanov, Zh. Vychisl. Mat. Mat. Fiz. 20, 993 (1980).
I. F. Potapenko, A. V. Bobylev, C. A. Azevedo, and S. S. Assis, Phys. Rev. E 56, 7159 (1997).
I. F. Potapenko and V. A. Chuyanov, Zh. Vychisl. Mat. Mat. Fiz. 19, 458 (1979).
J. M. Ziman, Electrons and Phonons (Clarendon, Oxford, 1960; Inostrannaya Literatura, Moscow, 1962).
M. M. Basko and M. V. Sokolovskii, Preprint No. 177 (Inst. of Theoretical and Experimental Physics, Moscow, 1980).
Y.-H. Ohtsuki, Charged Beam Interaction with Solids (Taylor and Francis, London, 1983; Mir, Moscow, 1985).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Plazmy, Vol. 28, No. 10, 2002, pp. 908–918.
Original Russian Text Copyright © 2002 by Karas’, Potapenko.
Rights and permissions
About this article
Cite this article
Karas’, V.I., Potapenko, I.F. Numerical modeling of the formation of steady-state nonequilibrium distributions of particles interacting through a power-law potential. Plasma Phys. Rep. 28, 837–846 (2002). https://doi.org/10.1134/1.1513837
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1513837