The Hall Effect in Electrolytes

As indicated in an earlier review, the Hall effect has been the subject of numerous investigations. The Hall constant Rjj is defined by the classical electric field equation 

In an analysis of the diffusion equations in magnetic fields, Dumarque et al. introduced a diffusivity tensor and an effectiveness parameter related to the difference between diffusivity in the presence and in the absence of a magnetic field. In a less general, but somewhat more amenable approach to numerical estimations, Lielmezs and Musbally derived a magnetic correction factor called the arithmetic mean average fractional integral diffusion coefficient 

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The microscopic approach has been particularly successful in the treatment of the Hall effect in electrolytes, summarized in an earlier overview [5]. As in the case of Hall conductivity, the magnitude of the magnetic field effect on diffusion is very small [6,7] but not negligible in a rigorous sense. The Llelmezs-Musbally formula [6] based on the theory of irreversible thermodynamics for bi-lonic systems ... 

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