闪烁体连续介质物理中反应-扩散-漂移方程的存在性、衰减时间与光产额
数学物理
2018-02-21 v1 偏微分方程分析
math.MP
摘要
闪烁体是一种将入射电离能转换为可见光子的材料。这一强非线性转换过程可由我们从具有微结构并赋予适当热力学的连续体模型所得的反应-扩散-漂移方程描述。对该方程可证明可重整化弱解的全局存在性，并给出解的指数衰减估计；此外我们还给出了光产额的数学定义，其为闪烁效率的度量。
引用
@article{arxiv.1802.07053,
title = {Existence, decay time and light yield for a reaction-diffusion-drift equation in the continuum physics of scintillators},
author = {Fabrizio Daví},
journal= {arXiv preprint arXiv:1802.07053},
year = {2018}
}
备注
12 pages. To appear on the Proceedings of the Conference: Harnack's inequalities and nonlinear operators. A conference to celebrate the 70th birthday of Emmanuele DiBenedetto. At: Cortona, Italy June 19th-23th, 2017