Electron transport driven by a chemical potential difference

TL;DR

This paper investigates electron transport driven by chemical potential differences using a coupled Bhatnagar-Gross-Krook and Maxwell equations approach, analyzing potential distributions inside a specimen connected to reservoirs.

Contribution

It introduces a coupled modeling framework to analyze spatial potential variations and confirms the negligible chemical potential gap at connection points.

Findings

Potential distributions inside the specimen are characterized.

Chemical potential gap at connection points is negligible.

The coupled model effectively describes electron transport phenomena.

Abstract

Based on Bhatnagar-Gross-Krook equation coupled with Maxwell equation, we investigate the spatial dependence of a chemical, an electrostatic and an electrochmeical potentials inside a specimen connected with reservoirs. We also confirm that a gap of the chemical potential between at a connection point is negligible.