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Abstract: The Casimir force between a pair of parallell plates filled with ionicparticles is considered. We use a statistical mechanical approach and considerthe classical high temperature limit. In this limit the ideal metal result withno transverse electric TE zero frequency mode is recovered. This result hasalso been obtained by Jancovici and \v{S}amaj earlier. Our derivation differsmainly from the latter in the way the Casimir force is evaluated from thecorrelation function. By our approach the result is easily extended toelectrolytes more generally. Also we show that when the plates are at contactthe Casimir force is in accordance with the bulk pressure as follows from thevirial theorem of classical statistical mechanics.



Author: J. S. Høye

Source: https://arxiv.org/



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