title: 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-like kernel function. The Fermi distribution is shown to be a set of optimal ionic concentration functions in the sense of minimizing an electrostatic potential free energy. Numerical results are reported to show the difference between a Poisson-Fermi solution and a corresponding Poisson solution.
authors: Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin, 53201-0413, USA.
authors: Dexuan
authors: D
authors: Xie
authors: Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu 300, Taiwan.
authors: Jinn-Liang
authors: JL
authors: Liu
authors: Department of Molecular Biophysics and Physiology, Rush University, Chicago, Illinois 60612, USA.
authors: Bob
authors: B
authors: Eisenberg