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On the entropy and exponential convergence to equilibrium for the recombination-drift-diffusion system for scintillators

Fabrizio Davì

Vol. 12 (2024), No. 3, 263–281
Abstract

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 k > 2 charge carriers and a general polynomial recombination term.

Keywords
scintillating crystals, reaction-drift-diffusion equations, gradient flows, entropy methods, asymptotic decay
Mathematical Subject Classification
Primary: 35B40, 35K57, 74F15, 78A35
Milestones
Received: 10 June 2024
Accepted: 18 July 2024
Published: 23 August 2024

Communicated by Francesco dell'Isola
Authors
Fabrizio Davì
Dipartimento di Ingegneria Civile Edile e Architettura
Università Politecnica delle Marche
Ancona
Italy