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arXiv · 1802.07053

Existence, decay time and light yield for a reaction-diffusion-drift equation in the continuum physics of scintillators

Fabrizio Daví
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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.

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Fabrizio Daví. 2018-02-20. Existence, decay time and light yield for a reaction-diffusion-drift equation in the continuum physics of scintillators. https://arxiv.org/abs/1802.07053

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