Semi-implicit Lax-Wendroff kinetic scheme for electron-phonon coupling
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912866865512448 |
|---|---|
| author | Li, Jiaming Liang, Hong Lian, Meng Zhang, Chuang Xu, Jiangrong |
| author_facet | Li, Jiaming Liang, Hong Lian, Meng Zhang, Chuang Xu, Jiangrong |
| contents | A semi-implicit Lax-Wendroff scheme is developed for electron-phonon coupling process in metals based on the two-temperature kinetic equations. The core of this method is to integrate the evolution information of physical equations into the numerical modeling process, which leads to that the time step or cell size is not limited by the relaxation time and mean free path. Specifically, the finite difference method is used to solve the kinetic model again when reconstructing the interfacial distribution function, through which the particle migration, scattering and electron-phonon coupling processes are coupled together within a single time step. Numerical tests demonstrate that this method could efficiently capture electron-phonon coupling or heat conduction processes from the ballistic to diffusive regimes. It provides a new tool for describing electron-phonon coupling or thermal management in microelectronic devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01220 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semi-implicit Lax-Wendroff kinetic scheme for electron-phonon coupling Li, Jiaming Liang, Hong Lian, Meng Zhang, Chuang Xu, Jiangrong Computational Physics 82D37, 80A05, 80A19 A semi-implicit Lax-Wendroff scheme is developed for electron-phonon coupling process in metals based on the two-temperature kinetic equations. The core of this method is to integrate the evolution information of physical equations into the numerical modeling process, which leads to that the time step or cell size is not limited by the relaxation time and mean free path. Specifically, the finite difference method is used to solve the kinetic model again when reconstructing the interfacial distribution function, through which the particle migration, scattering and electron-phonon coupling processes are coupled together within a single time step. Numerical tests demonstrate that this method could efficiently capture electron-phonon coupling or heat conduction processes from the ballistic to diffusive regimes. It provides a new tool for describing electron-phonon coupling or thermal management in microelectronic devices. |
| title | Semi-implicit Lax-Wendroff kinetic scheme for electron-phonon coupling |
| topic | Computational Physics 82D37, 80A05, 80A19 |
| url | https://arxiv.org/abs/2602.01220 |