arXiv · 1603.05597
A Nonlocal Poisson-Fermi Model for Ionic Solvent
Abstract
We propose a nonlocal Poisson-Fermi model for ionic solvent that includes ion size effects and polarization correlations among water molecules in the calculation of electrostatic potential. It includes the previous Poisson-Fermi models as special cases, and its solution is the convolution of a solution of the corresponding nonlocal Poisson dielectric model with a Yukawa-type kernel function. Moreover, the Fermi distribution is shown to be a set of optimal ionic concentration functions in the sense of minimizing an electrostatic potential free energy. Finally, numerical results are reported to show the difference between a Poisson-Fermi solution and a corresponding Poisson solution.
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Dexuan Xie, Jinn-Liang Liu, Bob Eisenberg, L. Ridgway Scott. 2016-03-15. A Nonlocal Poisson-Fermi Model for Ionic Solvent. https://doi.org/10.1103/physreve.94.012114
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