42 citations · 88 across the 7 of their papers we have counts for
7 papers
Energetic Variational Approach for Prediction of Thermal Electrokinetics in Charging and Discharging Processes of Electrical Double Layer Capacitors
Xiang Ji, Chun Liu, Pei Liu +1
This work proposes a new variational, thermodynamically consistent model to predict thermal electrokinetics in electric double layer capacitors (EDLCs) by using an energetic variat…
Global Existence of the Non-isothermal Poisson-Nernst-Planck-Fourier System
Chia-Yu Hsieh, Tai-Chia Lin, Chun Liu +1
In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Ne…
Field Theory of Reaction-Diffusion: Mass Action with an Energetic Variational Approach
Yiwei Wang, Chun Liu, Pei Liu +1
We extend the energetic variational approach so it can be applied to a chemical reaction system with general mass action kinetics. Our approach starts with an energy-dissipation la…
Non-Isothermal Electrokinetics: Energetic Variational Approach
Pei Liu, Simo Wu, Chun Liu
Fluid dynamics accompanies with the entropy production thus increases the local temperature, which plays an important role in charged systems such as the ion channel in biological…
Modified Poisson-Nernst-Planck model with accurate Coulomb correlation in variable media
Pei Liu, Xia Ji, Zhenli Xu
We derive a set of modified Poisson-Nernst-Planck (mPNP) equations for ion transport from the variation of the free energy functional which includes the many-body Coulomb correlati…
Understanding depletion induced like-charge attraction from self-consistent field model
Pei Liu, Manman Ma, Zhenli Xu
The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electro…
Self-energy-modified Poisson-Nernst-Planck equations: WKB approximation and finite-difference approaches
Zhenli Xu, Manman Ma, Pei Liu
We propose a modified Poisson-Nernst-Planck (PNP) model to investigate charge transport in electrolytes of inhomogeneous dielectric environment. The model includes the ionic polari…