Yan Xie — Page 4 | Searcharxiv

arXiv2016

A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations

Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. Two kinds of two-grid finite element algorithms are proposed to decouple the steady-state Poisson-Nernst-Planck equations by coarse grid finite element approximations. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid algorithms for solving Poisson-Nernst-Planck equations.

math.NA↗

arXiv2010

Tailoring photon emission patterns in nanostructures

We investigate the photon emission in coupled quantum dots based on symmetry considerations. With the help of a new theorem we proved, we reveal the origin of the various emission patterns, which is the combinative symmetry in the time domain and spectrum domain. We are able to tailor the emission patterns and obtain emission spectra with odd harmonics only, even harmonics only, both odd and even harmonic components, or even the quenching of all components. These interesting emission patterns can be obtained in experiments by careful design of the nanostructures, which are of many applications in optical-electric nanodevices.

cond-mat.mes-hall↗