A Continuum Theory of Elastic Semiconductors with Consideration of Mobile Charge Inertia

2024/03/12 by Jiashi Yang, Yang, Jiashi
Engineering · #Advanced Materials and Mechanics #Elasticity and Wave Propagation #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.2403.07582

openalex publication_date 2024/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A set of nonlinear equations for the macroscopic theory of elastic semiconductors is derived which generalizes the seminal work of Tiersten by including the inertia of the mobile charge carriers. The equations obtained can describe carrier plasma waves and their interactions with elastic waves. Another generalization in this paper is that the internal energy densities of the mobile charges are allowed to depend on temperature in addition to charge densities. The equations are in SI units.

Related

• On Purely Macroscopic Theory of Rigid Semiconductors Constructed from Multi-Continuum Model
• An asymptotic solution for the SHE equations describing the charge transport in semiconductors
• Dynamics theory of deformable solids with quasiparticle excitations in the presence of electromagnetic fields
• Currents Induced by Charges Moving in Semiconductor
• A Novel Approach to Spherical Harmonics Expansion for Electron Transport in Semiconductors