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.

Existence, Decay Time and Light Yield for a Reaction-Diffusion-Drift Equation in the Continuum Physics of Scintillators / Davi', F.. - STAMPA. - 46:(2021), pp. 125-137. (Intervento presentato al convegno Harnack Inequalities and Nonlinear Operators. INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto tenutosi a Cortona nel June 18-24, 2017) [10.1007/978-3-030-73778-8].

Existence, Decay Time and Light Yield for a Reaction-Diffusion-Drift Equation in the Continuum Physics of Scintillators

Davi', F.
2021-01-01

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.
2021
Springer Indam Series
978-3-030-73778-8
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/290598
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