# Calculation and properties of trap structural functions for various spatially correlated systems

Source: [Calculation and properties of trap structural functions for various spatially correlated systems](<https://www.sota2.com/research/paper/68fa1e7d7a2b558e29322af7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:10:39.166Z

Authors: Arkadiusz Mandowski

Published: 2004-10-26T02:31:05.000Z

## Abstract

Thermoluminescence (TL) kinetics in spatially inhomogeneous systems can be studied by various Monte Carlo algorithms. Recently, a new analytical approach was suggested for the isolated cluster model. The theory is based on the concept of trap structural functions (TSFs). TSFs depend solely on topological properties of solids. Therefore, knowing TSFs for traps and recombination centres it is possible to calculate TL for various parameters, e.g. different heating schemes and different energy configurations. This paper presents some properties and methods of calculation of TSFs. Structural character of TSFs is verified numerically. It is shown that for simple cluster systems it is possible to calculate the functions analytically.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0410656>)

[PDF](<https://arxiv.org/pdf/cond-mat/0410656.pdf>)