2021
DOI: 10.1002/mma.7660
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A brief overview of existence results and decay time estimates for a mathematical modeling of scintillating crystals

Abstract: Inorganic scintillating crystals can be modelled as continua with microstructure.For rigid and isothermal crystals, the evolution of charge carriers becomes in this way described by a reaction-diffusion-drift equation coupled with the Poisson equation of electrostatic. Here, we give a survey of the available existence and asymptotic decays results for the resulting boundary value problem, the latter being a direct estimate of the scintillation decay time. We also show how to recover various approximated models… Show more

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Cited by 4 publications
(2 citation statements)
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“…This challenge can theoretically be addressed by changing the mathematical formulation representing also the effects of higher order. However, this requires prior knowledge of the precise optical processes [34] taking place in the chosen scintillator topology, to change the mathematical formulation [35]. Furthermore, depending on the readout infrastructure and the detector concept, the problem might depend on numerous variables and parameters [36], [37] which are hard to determine in advance.…”
Section: Introductionmentioning
confidence: 99%
“…This challenge can theoretically be addressed by changing the mathematical formulation representing also the effects of higher order. However, this requires prior knowledge of the precise optical processes [34] taking place in the chosen scintillator topology, to change the mathematical formulation [35]. Furthermore, depending on the readout infrastructure and the detector concept, the problem might depend on numerous variables and parameters [36], [37] which are hard to determine in advance.…”
Section: Introductionmentioning
confidence: 99%
“…The decay time, defined as the time after which the intensity of the light decreases to 1/e of its maximum, is important for scintillators in fast counting/timing applications [30]. Without doping, the decay time is usually speedy, e.g., 1 ns and 10 ns orders for pure CsI [31] and NaI [32].…”
Section: Introductionmentioning
confidence: 99%