In this work, we consider numerical methods for the Poisson–Nernst–Planck–Cahn–Hilliard
(PNPCH) equations with steric interactions, which correspond to a non-constant mobility H …

Cyclic voltammetry (CV) is a powerful technique for characterizing the electrochemical
properties of electrochemical devices. During charging–discharging cycles, the thermal …

To study ion transport in electrolyte solutions, we propose numerical methods for a modified
Poisson–Nernst–Planck model with ionic steric effects (SPNP). Positivity preserving …

Charge dynamics play essential role in many practical applications such as semiconductors,
electrochemical devices and transmembrane ion channels. A Maxwell-Ampère Nernst …

This work considers charged systems described by the modified Poisson–Nernst–Planck
(PNP) equations, which incorporate ionic steric effects and the Born solvation energy for …

First-order energy dissipative schemes in time are available in literature for the Poisson–
Nernst–Planck (PNP) equations, but second-order ones are still in lack. This work proposes …

A system of Poisson--Nernst--Planck equations (PNP) is an important dielectric continuum
model for simulating ion transport across biological membrane. In this paper, a PNP ion …

We develop a modified Poisson--Nernst--Planck model which includes both the long-range
Coulomb and short-range hard-sphere correlations in its free energy functional such that the …

We theoretically investigate an electric-field-driven system of charged spheres as a primitive
model of concentrated electrolytes under an applied electric field. First, we provide a unified …

Ion transport, often described by the Poisson–Nernst–Planck (PNP) equations, is ubiquitous
in electrochemical devices and many biological processes of significance. In this work, we …