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arXiv 0903.4913physics.plasm-ph
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单组分和双组分经典等离子体有效插值状态方程的构造

Construction of effective interpolating equation of state for one-and two-component classical plasma

Victor Gryaznov, Igor Iosilevskiy

摘要:

本文讨论了在经典的单组分和双组分等离子体模型中构造描述非理想效应的简单近似的有效方法。一般的约束,即正性和指数型的径向分布函数F2(r)结合归一化(局部电中性)条件,其有效性是独立的程度上的非理想性,用于有效地校正的几个众所周知的近似形式的F(r)。由此得到的修正形式F*(r)导致非理想修正,在弱非理想极限下是渐近精确的,同时在强非理想极限下具有良好的外推性质.最简单的例子-修正的德拜-许克尔近似-导致这种非理想修正的简单和明确的形式。同样的方法也适用于经典的两组分等离子体模型。由此产生的校正近似提供了弱和强非理想性限制之间的平滑和合理的插值。

英文摘要:

An effective approach for construction of simple approximation for description of non-ideality effects in classical one- and two-component plasma model is under discussion. General constraints i.e. positiveness and exponential type for radial distribution functions F2(r) combined with normalizing (local electroneutrality) conditions, which validity is independent on degree of non-ideality, are used for effective correction of several well-known approximated forms of F(r). Resulting corrected forms F*(r) leads to non-ideality corrections, which are asymptotically exact in the weak non-ideality limit and at the same time have good extrapolating properties in the strong non-ideality limit. The simplest example - corrected Debye-Hueckel approximation - leads to simple and explicit form of such non-ideality corrections. The same approach is applied to classical two-component plasma model. Resulting corrected approximation gives smooth and plausible interpolation between weak and strong non-ideality limits.

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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