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Nonlocal Poisson-Fermi model for ionic solvent.

Dexuan Xie1, Jinn-Liang Liu2, Bob Eisenberg3

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Physical Review. E
|August 31, 2016
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Summary
This summary is machine-generated.

We introduce a new nonlocal Poisson-Fermi model accounting for ion size and water polarization effects. This model offers a more accurate calculation of electrostatic potential in ionic solvents compared to previous models.

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Area of Science:

  • Physical Chemistry
  • Computational Chemistry
  • Electrochemistry

Background:

  • Traditional Poisson-Fermi models often neglect ion size effects and molecular polarization.
  • Accurate electrostatic potential calculations are crucial for understanding ionic solvent behavior.

Purpose of the Study:

  • To develop a nonlocal Poisson-Fermi model incorporating ion size and polarization correlations.
  • To establish the optimality of Fermi distribution for ionic concentrations in minimizing free energy.
  • To compare the new model's predictions with existing Poisson models.

Main Methods:

  • Formulation of a nonlocal Poisson-Fermi model.
  • Derivation of the solution as a convolution with a Yukawa-like kernel.
  • Demonstration of Fermi distribution's optimality via free energy minimization.
  • Numerical comparison of Poisson-Fermi and Poisson solutions.

Main Results:

  • The proposed model encompasses previous Poisson-Fermi models as special cases.
  • The solution involves a convolution of a nonlocal Poisson dielectric model solution and a Yukawa-like kernel.
  • Fermi distribution functions optimally minimize electrostatic potential free energy.
  • Numerical results highlight discrepancies between Poisson-Fermi and Poisson solutions.

Conclusions:

  • The nonlocal Poisson-Fermi model provides a more comprehensive description of ionic solvents.
  • Ion size and polarization effects significantly influence electrostatic potential calculations.
  • The model offers improved accuracy for electrostatic interactions in complex ionic systems.