Journal of Statistical Physics

, Volume 2, Issue 4, pp 379–385 | Cite as

Hall coefficient in solution for a simple dynamical model

  • S. Harris
Articles

Abstract

A model Liouville equation is proposed for a system composed of an ion moving in a solvent fluid. Using this model, explicit results are obtained for the Ohmic conductivityL and the Hall conductivityh. These results are then used to calculate the Hall coefficientR = ehL−2, which is a measure of the effect of non-Brownian motion, for several charge carriers of interest. Our results are in agreement with earlier findings based on a stochastic model which predictR > 1 for H+(aq). Our results also indicate thatR ≈ 1 for charge carriers such as Na+, Cl, and K+ which have a mass greater than that of a solvent molecule (here taken as 18 amu).

Key words

Ion, solvent fluid applied electrical and magnetic fields transport coefficients non-Brownian effects 

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Copyright information

© Plenum Publishing Corporation 1970

Authors and Affiliations

  • S. Harris
    • 1
  1. 1.College of EngineeringState University of New YorkStony Brook

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