Phenomenological statistics of diluted charged solutions (Review Article)
IRAMIS, LIONS, UMR NIMBE 3299 CEA-CNRS, CEA-Saclay, F-91191 Gif-sur-Yvette Cedex, France
Received December 22, 2021, published online June 20, 2022
The consistent interpretation of the equilibrium and simplest transport properties of diluted liquid electrolytes, the normal and cryogenic ones, by analogy with the observed consequences of electron-hole statistics in crystal-line semiconductors is proposed. The consideration is based on the micro characteristics of individual charged clusters, introduced phenomenologically, such as their energies, effective masses, etc. The possibilities of extracting these parameters from the available experimental data are discussed in detail. This is crucial for explaining the very possibility of the statistical consideration of what is unfolding in electrolytes. A deep analogy between the statistics of electrolytes and that of solid-state semiconductors is noted. Its presence is the basis of the phenomenology being developed.
Key words: liquid electrolytes, crystalline semiconductors, transport properties, phenomenological statistics of charged solutions, electron-hole statistics.