A simple formulation and solution strategy of the Saha equation for ideal and nonideal plasmas

A simple formulation and solution strategy of the Saha equation for ideal and nonideal plasmas
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理想和非理想等离子体萨哈方程的简单公式和求解策略

DOI:
10.1088/0022-3727/33/8/314
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发表时间:
2000
期刊:
Journal of Physics D
影响因子:
--
通讯作者:
J. Doster
J. Doster
中科院分区:
--
文献类型:
--
作者:
M. Zaghloul;M. Bourham;J. Doster

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一个简单的制定和解决方案的战略萨哈方程。该公式区分的情况下,无论是压力或数密度的重粒子是已知的。这种歧视允许的方法被推广到包括所有的实际利益的问题,以及澄清文献中的其他配方中发现的歧义。本方法克服了对其他竞争技术的限制,并考虑到所有可能的非理想修正公式。在大多数实际情况下,非线性萨哈方程组的解被简化为求解一个超越方程的简单问题。
A simple formulation and solution strategy for the Saha equation is introduced. The formulation discriminates between the cases in which either the pressure or the number density of heavy particles is known. This discrimination allows the method to be generalized to include all problems of practical interest, as well as to clarify ambiguities found in other formulations in the literature. The present method overcomes restrictions imposed on other competitive techniques and takes into account all possible formulae for nonideality corrections. In most practical cases the solution of the nonlinear set of the Saha equations is reduced to the simple problem of solving a single transcendental equation.