| 摘要(英) |
The phenomenon of numerical thermalization (i.e., relaxation of the velocity distribution toward a Maxwellian) in the standard particle-in-cell (PIC) simulation of Vlasov plasmas has been extensively studied at the early stage of its development[1] and was considered well understood. However, it was recently reported[2] that the well-established scaling law for the thermalization time could be compromised by the presence of an additional stochastic force acting on the particles, which has been used to simulate collisional processes in a weakly ionized gas. The collision model is described that the electrons collide with background particles, i.e., atoms and molecules. When electron collide with neutral background gas, the electron will be rebounded. In the our work, we are interested in the problem of electron-ion collisions in a fully ionized plasma. We examined the thermal relaxation processes in the PIC simulation of a Lorentz plasma in one dimension[3]. The small-angle collision of the electrons by the stationary ion background is modeled by a Monte-Carlo algorithm. Our numerical results show that the thermal relaxation time is proportional to ND (the number of particles per Debye length), but not ND2 as shown in the standard PIC simulations. On the other hand, our results also point out that the collision rate affects self-heating slightly even in a strong collision environment. Our results appear to complement those found by the previous study[2].
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| 參考文獻 |
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[10]J. Virtamo and H. Tuomisto, Phys. Fluids 22, 172 1979.
[12] F. F. Chen, Plasma Physics and Controlled Fusion (Plenum, New York, 1984).
[11]A. H. Boozer and G. Kuo-Petravic, Phys. Fluids 24, 851 (1981).
[13] Eldridge, O.C., Feix, M.R. (1963): Numerical Experiments with a Plasma Model. Phys.Fluids 6, 398-406.
[14] 等離子體粒子模擬－邵福球編著－北京：科學出版社，2002
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