preprint · Preprints.org
Numerical simulations evaluated the dielectric relaxation dynamics of lithium aluminosilicate glass-ceramics across various frequencies and temperatures using Debye, Cole-Cole, and Arrhenius models. The Debye model demonstrated that the dielectric constant drops as frequency increases, while dielectric loss forms a distinct relaxation peak when the product of frequency and relaxation time equals one. Increasing temperature enhanced dipolar mobility, leading to higher dielectric constant values but lower dielectric loss, which indicates diminished energy dissipation at higher thermal levels. The Cole-Cole model captured non-ideal relaxation characteristics with slightly higher dielectric constant predictions while reflecting comparable overall trends. Arrhenius calculations identified activation energies between 0.046 and 0.476 electronvolts for the Debye model and between 0.045 and 0.464 electronvolts for the Cole-Cole model, showing the thermally activated nature of the relaxation processes.
Understanding how glass-ceramics respond to electric fields across varying frequencies and temperatures is essential for describing their fundamental physical properties. By quantifying relaxation processes and activation energies, these simulation findings clarify how lithium aluminosilicate stores and dissipates energy, illustrating how thermal and electrical conditions alter material behaviour.
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This study investigates the dielectric relaxation dynamics of lithium aluminosilicate (LAS) glass-ceramics using the Debye and Cole–Cole relaxation frameworks to elucidate their high-frequency dielectric behaviour. Numerical simulations were performed in a MATLAB environment across a wide range of frequencies and temperatures, employing the Debye, Cole–Cole, and Arrhenius models to characterize polarization and relaxation processes. The Debye model revealed a noticeable frequency dependence, with the dielectric constant (ε^') exhibiting high values at low frequencies and progressively decreasing with increasing frequency, while the dielectric loss (ε^'') exhibited a characteristic relaxation peak associated with the condition ωτ=1. Temperature-dependent analysis indicated that ε^' increased with temperature due to enhanced dipolar mobility, whereas ε^'' decreased, suggesting reduced energy dissipation at elevated temperatures. The Cole–Cole model predicted slightly higher dielectric constants but demonstrated similar overall trends, capturing the non-ideal relaxation behaviour characteristic of LAS. Activation energies obtained from Arrhenius analysis ranged from 0.046–0.476 eV (Debye) and 0.045–0.464 eV (Cole–Cole), aligning closely with reported literature values. These findings highlight the distributed and thermally activated nature of dipolar and ionic relaxation in LAS glass-ceramics.
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DOI: 10.20944/preprints202511.0367.v1
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