On 17th June, Dr. Yue Chan has published an article, entitled “Layer analysis of ion transport inside nanomaterials with symmetric internal sources using Poisson-Nernst-Planck equation and mean-field theory” in Physics of Fluids.
Poisson–Nernst–Planck equation is employed to describe ion transport disrupted by symmetric internal attractive and repulsive sources on the inner surface of nanomaterials in a vacuum. The present methodology has rapid computation time, where microscopic interactions are incorporated in the macroscopic equation to correct physics. Unlike usual molecular simulation, the present approach only requires static interactions between an ion and the host material, where the evolution of ion density and multi-body interactions between ions are captured by the Poisson–Nernst–Planck equation and Eq. (10), respectively. Both ion transport with and without such internal sources will be scrutinized so that the number of ionic layers can be finely tuned not only by external fields but also internal force sources to modify the charge and thermal capacities of nanomaterials. Last but not least, ion–ion interactions can be identified as ionic correlation functions so that the nonlinearity and the diffusion constant of the ion transport problem can be visualized and updated, respectively.

Figure 1: Some numerical solutions of the present paper.
Paper Information:
Phys. Fluids 37, 062015 (2025); doi: 10.1063/5.0272126