Mingji Zhang

A Perspective on Multiscale Electrodiffusion and Model Selection for Ion Transport in Energy-Storage Nanomaterials

Hamid Mofidi, Wuyue Yang, Mingji Zhang

Ion transport in energy storage nanomaterials is described with models that resolve different scales and different physical effects. Device models such as the Doyle-Fuller-Newman framework are well suited to cell voltage, concentration polarization, and electrode utilization, but they usually average local charge …

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Analysis of Traveling-Wave Solutions for a $$\phi ^8$$ Field Model and a Highly Nonlinear Schrödinger Equation

Jie Song, Feng Li, Jibin Li, Mingji Zhang

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Finite Ion Size and Permanent Charge in a Poisson–Nernst–Planck Ion Channel Model: Existence and a Critical Potential Phenomenon

Hamid Mofidi, Jie Song, Mingji Zhang

ABSTRACT We consider a quasi‐one‐dimensional Poisson–Nernst–Planck (PNP) model of ionic transport through a membrane channel, incorporating two oppositely charged ion species, nonzero permanent charge distributions, and nonuniform finite ion sizes modeled via hard‐sphere potentials. First, we establish a rigorous existence and local …

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Research progress on anti-fouling mechanisms and performance optimization of external field-assisted membrane separation technology

Shengyang Zheng, Mingji Zhang, Hong Li, Xinyi Du et autres

Benefiting from low energy consumption, high separation performance, membrane technologies have been widely adopted in wastewater treatment and reuse. However, membrane fouling and the resulting limited membrane lifespan have emerged as the major bottlenecks restricting their widespread development and practical applications. Given …

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Studies on Reversal Potential Via Classical Poisson-Nernst-Planck Systems. Part I: Multiple Pieces of Nonzero Permanent Charges having the Same Sign

Yiwei Wang, Jianwei Shen, Lijun Zhang, Mingji Zhang

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Studies on Zero-current Ionic Flows Through Membrane Channels via Poisson-Nernst-Planck Systems with Steric Effects Under Relaxed Boundary Conditions

Qi Yao, Jie Song, Yu Tian, Mingji Zhang

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Numerical Approach to Poisson–Nernst–Planck Models with Nonzero Permanent Charges and Steric Effects

Xijun Deng, Hong Li, Zhongxian Li, Jianjia Yu et autres

We numerically study a quasi-one-dimensional classical Poisson–Nernst–Planck system with two oppositely charged ion species under different setups. Of particular interest is the following: (i) to numerically identify ten critical potentials, which play critical roles in characterizing the qualitative properties of individual fluxes; …

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Studies on Poisson–Nernst–Planck Systems with Large Permanent Charges Under Relaxed Neutral Boundary Conditions

Jia Ning Chen, Zhongxian Li, Mingji Zhang

Modeling ion transport through membrane channels is crucial for understanding cellular processes, and Poisson–Nernst–Planck (PNP) equations provide a fundamental continuum framework for such ionic fluxes. We investigate a quasi-one-dimensional steady-state PNP system for two oppositely charged ion species, focusing on how large …

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Analysis of Flux‐Ratio Bifurcation in Ionic Flows via Classical Poisson–Nernst–Planck Models

Hamid Mofidi, Fazel Hadadifard, Mingji Zhang

ABSTRACT The flux ratio serves as a valuable characteristic for assessing the influence of permanent charge on the fluxes of different ion species. Our work analyzes flux ratios and their bifurcations in ionic flows using Poisson–Nernst–Planck models. Unlike Ussing's and Hodgkin–Keynes's ratios, …

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Dynamics of a quartic Korteweg–de Vries equation with multiple dissipations via an Abelian integral approach

Xianbo Sun, Mingji Zhang

We analyze both solitary and periodic wave solutions of a quartic Korteweg-de Vries (KdV) equation that incorporates multiple dissipative effects. The investigation primarily focuses on the dynamical behavior within a two-dimensional invariant manifold. To establish the existence of solitary waves, we employ …

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Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary Conditions

Xiangshuo Liu, Lijun Zhang, Mingji Zhang

We examine the qualitative properties of ionic flows through membrane channels via Poisson–Nernst–Planck (PNP) type models with steric effects under relaxed electroneutrality boundary conditions, and more realistic setups in the study of ion channel problems. Of particular interest are the vital roles …

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Bifurcations and Exact Solutions of the Coupled Nonlinear Generalized Zakharov Equations with Anti-Cubic Nonlinearity: Dynamical System Approach

Feng Li, Mingji Zhang

We consider the exact traveling wave solutions for the coupled nonlinear generalized Zakharov equations. By employing the method of dynamical systems, we are able to obtain bifurcations of the phase portraits of the corresponding planar dynamical system under various parameter conditions. Based …

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