Evidence of Low Dimensional Chaos in Glow Curves of Thermoluminescence

TL;DR

This study demonstrates that thermoluminescent Glow Curves exhibit chaotic behavior, analyzed through phase space reconstruction and various nonlinear methods, revealing complex dynamics in electron release processes during thermal stimulation.

Contribution

It provides the first evidence of low-dimensional chaos in Glow Curves using advanced nonlinear analysis techniques, offering new insights into thermoluminescence dynamics.

Findings

Glow Curves exhibit chaotic regimes

Recurrence Quantification Analysis confirms chaos and determinism

Transitions between chaos and order observed in signals

Abstract

Electron trapping following exposition to ionising radiations and consequent electron release during variation of temperature in solids represent processes happening at the quantum microphysical level. The interesting feature of the thermally stimulated process, that in fact deserves further investigation, is that the dynamic of electrons release during, variation of the temperature, here examined through the so called thermoluminescent Glow Curve, evidences chaotic and fractal regimes. Phase space reconstruction, Correlation Dimension, largest Lyapunov exponent, Recurrence Quantification Analysis(RQA) and fractal dimension analysis, developed by calculation of Hurst exponent, are performed on three samples. The results unequivocally fix that Glow Curves respond to a chaotic regime. RQA supports such results revealing the inner structure of Glow Curve signals in relation to their properties of recurrence, determinism and intermittency signed from laminarity as well as chaos-chaos and chaos order transitions.