English

Comments on the linear modified Poisson-Boltzmann equation in electrolyte solution theory

Statistical Mechanics 2019-06-28 v1

Abstract

Three analytic results are proposed for a linear form of the modified Poisson-Boltzmann equation in the theory of bulk electrolytes. Comparison is also made with the mean spherical approximation results. The linear theories predict a transition of the mean electrostatic potential from a Debye-H\"{u}ckel type damped exponential to a damped oscillatory behaviour as the electrolyte concentration increases beyond a critical value. The screening length decreases with increasing concentration when the mean electrostatic potential is damped oscillatory. A comparison is made with one set of recent experimental screening results for aqueous NaCl electrolytes.

Keywords

Cite

@article{arxiv.1906.11584,
  title  = {Comments on the linear modified Poisson-Boltzmann equation in electrolyte solution theory},
  author = {C. W. Outhwaite and L. B. Bhuiyan},
  journal= {arXiv preprint arXiv:1906.11584},
  year   = {2019}
}

Comments

14 pages, 4 figures

R2 v1 2026-06-23T10:05:16.784Z