Abstract
Langmuir condition shows the existence of a net current through the double layer (DL). Using Langmuir criterion, one may determine the double layer’s position, but it can not represent alone if this position is stable or not. We obtain the generalized Langmuir condition in multi-ion plasmas by using a simple model. Then by analyzing the results, the stability of the determined position is discussed and the DL stability criterion is obtained. This criterion assures that, when some perturbations are imposed on the DL, it returns to the stable position.
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