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Abstract
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For the recombination-drift-diffusion equations that describe the evolution of charge
carriers in scintillating crystals, we obtain the estimates for the energy and solution
asymptotic decay. Our results extend those obtained by Fellner and Kniely (2018) for
semiconductors with two charge carriers and Shockley–Hall recombination, to the case of
charge carriers and a general polynomial recombination term.
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Keywords
scintillating crystals, reaction-drift-diffusion equations,
gradient flows, entropy methods, asymptotic decay
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Mathematical Subject Classification
Primary: 35B40, 35K57, 74F15, 78A35
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Milestones
Received: 10 June 2024
Accepted: 18 July 2024
Published: 23 August 2024
Communicated by Francesco dell'Isola
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| © 2024 MSP (Mathematical Sciences
Publishers). |
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