Existence, decay time and light yield for a reaction-diffusion-drift equation in the continuum physics of scintillators
Abstract
A scintillator is a material which converts incoming ionizing energy into visible light. This conversion process, which is a strongly nonlinear one, can be described by a Reaction-Diffusion-Drift equation we obtain from a model of continua with microstructure endowed with a suitable thermodynamics. For such an equation it can be show the global existence of renormalizable and weak solutions, and the solutions exponential decay estimates can be given; moreover we give also a mathematical definition for the light yield which is a measure of scintillation efficiency.
Keywords
Cite
@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}
}
Comments
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