Modified Poisson--Nernst--Planck Model with Accurate Coulomb Correlation in Variable Media

DOI10.1137/16M110383XzbMath1386.82041arXiv1611.06486MaRDI QIDQ3130417

Xia Ji, Pei Liu, Zhenli Xu

Publication date: 22 January 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06486

zbMATH Keywords

asymptotic expansionGreen's functioncharge transportPoisson-Nernst-Planck equationsion correlationcontinuum theory for electrostatics

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Statistical mechanics of liquids (82D15) Variational principles of physics (49S05)

Related Items (15)

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Uses Software

• SelInv

Cites Work

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• A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
• Solving fluctuation-enhanced Poisson-Boltzmann equations
• An energetic variational approach for ion transport
• Mean-field theory and computation of electrostatics with ionic concentration dependent dielectrics
• Continuum solvation model: Computation of electrostatic forces from numerical solutions to the Poisson-Boltzmann equation
• Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. I: Analysis
• Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. II: Numerics
• SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix
• Understanding Depletion Induced Like-Charge Attraction from Self-Consistent Field Model

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