Numerical solution of the glow curve differential equations

D. Shenker, R. Chen

Research output: Contribution to journalArticlepeer-review

Abstract

The three basic simultaneous differential equations describing the phenomena of thermoluminescence and thermally stimulated conductivity are solved numerically for any given set of trapping parameters and without any additional assumptions, thus enabling us to simulate the TL and TSC phenomena. The method employs a change of variable by which the high sensitivity of the solution to small numerical errors is overcome. Use is then made of an improved Runge-Kutta method for the solution of the new set of differential equations. Previous methods for extracting information from glow curves are tested using these calculated curves as data. The often used assumption | ṅc | ≪ | ṅ |, | ṁ | is explored and found to be correct for most of the temperature range of interest.

Original languageEnglish
Pages (from-to)272-283
Number of pages12
JournalJournal of Computational Physics
Volume10
Issue number2
DOIs
StatePublished - Oct 1972

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