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arXiv 1402.6985physics.plasm-ph
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受照等离子体边缘电场的双电层和屏蔽的渐近理论

Asymptotic theory of double layer and shielding of electric field at the edge of illuminated plasma

M. S. Benilov, D. M. Thomas

摘要:

本文将匹配渐近展开法应用于小德拜长度$λ_D$极限情况下紫外光照射产生的无碰撞等离子体问题。一个二次近似的渐近解被发现的双层定位在照明区域的边界处和未照明的等离子体的平面几何形状。数值计算为不同的值的$λ_D$的报告,并证实了渐近结果。双层的净积分空间电荷是渐近小的,尽管在平面几何形状中,它仅足以屏蔽存在于照明区域中的双极电场,从而防止其渗透到未照明区域中。双层具有与分隔活跃等离子体和无碰撞鞘层的中间过渡层相同的数学性质,并且其基础物理也是相同的。本质上,这两层代表同一个物理对象:跨音速层。

英文摘要:

The method of matched asymptotic expansions is applied to the problem of a collisionless plasma generated by UV illumination localized in a central part of the plasma in the limiting case of small Debye length $λ_D$. A second-approximation asymptotic solution is found for the double layer positioned at the boundary of the illuminated region and for the un-illuminated plasma for the plane geometry. Numerical calculations for different values of $λ_D$ are reported and found to confirm the asymptotic results. The net integral space charge of the double layer is asymptotically small, although in the plane geometry it is just sufficient to shield the ambipolar electric field existing in the illuminated region and thus to prevent it from penetrating into the un-illuminated region. The double layer has the same mathematical nature as the intermediate transition layer separating an active plasma and a collisionless sheath, and the underlying physics is also the same. In essence, the two layers represent the same physical object: a transonic layer.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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