Generation of electric power by the Nernst effect is a new application of a semiconductor. A key point of this proposal is to find materials with a high thermomagnetic figure-of-merit, which are called Nernst elements. In order to find candidates of the Nernst element, a physical model to describe its transport phenomena is needed. As the first model, we began with a parabolic two-band model in...

Reverse electrodialysis is a promising membrane technology to generate energy from controlled mixing of water streams different salinities. Electrical potentials on the ion exchange membranes (IEMs) when selective transport cations and anions across driven by concentration difference. The accurate determination developed IEMs critical fairly assess feasibility technology. Nernst–Planck–Poisson ...

We develop a set of numerical schemes for the Poisson–Nernst–Planck equations. prove that our are mass conservative, uniquely solvable and keep positivity unconditionally. Furthermore, first-order scheme is proven to be unconditionally energy dissipative. These properties hold various spatial discretizations. Numerical results presented validate these properties. Moreover, indicate second-order...