Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator
The AC conductivity response of disordered materials follows a universal power law of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>σ</mi><mo>′</mo></m...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Journal of Composites Science |
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| Online Access: | https://www.mdpi.com/2504-477X/6/7/200 |
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| author | Christos Tsonos |
| author_facet | Christos Tsonos |
| author_sort | Christos Tsonos |
| collection | DOAJ |
| description | The AC conductivity response of disordered materials follows a universal power law of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>σ</mi><mo>′</mo></msup><mrow><mo>(</mo><mi>ω</mi><mo>)</mo></mrow><mo>∝</mo><msup><mi>ω</mi><mi>n</mi></msup></mrow></semantics></math></inline-formula> at the low frequency regime, with the power exponent values in the range 0 < <i>n</i> < 1. At the high frequency regime, in many experimental data of different disordered materials, superlinear values of the power exponent <i>n</i> were observed. The observed superlinear values of the power exponent are usually within <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo><</mo><mi>n</mi><mo><</mo><mn>2</mn></mrow></semantics></math></inline-formula>, but in some cases values <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>></mo><mn>2</mn></mrow></semantics></math></inline-formula> were detected. The present work is based on the definitions of electromagnetic theory as well as the Havriliak–Negami equation and the damped harmonic oscillator equation, which are widely used for the description of dielectric relaxation mechanisms and vibration modes in the THz frequency region, respectively. This work focuses mainly on investigating the parameters that affect the power exponent and the range of possible <i>n</i> values. |
| first_indexed | 2024-03-09T13:36:35Z |
| format | Article |
| id | doaj.art-f5f36e90efc647e1a1f0ace0145a51b1 |
| institution | Directory Open Access Journal |
| issn | 2504-477X |
| language | English |
| last_indexed | 2024-03-09T13:36:35Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Composites Science |
| spelling | doaj.art-f5f36e90efc647e1a1f0ace0145a51b12023-11-30T21:12:16ZengMDPI AGJournal of Composites Science2504-477X2022-07-016720010.3390/jcs6070200Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic OscillatorChristos Tsonos0Department of Physics, University of Thessaly, 3rd Km O.N.R. Lamia-Athens, 35100 Lamia, GreeceThe AC conductivity response of disordered materials follows a universal power law of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>σ</mi><mo>′</mo></msup><mrow><mo>(</mo><mi>ω</mi><mo>)</mo></mrow><mo>∝</mo><msup><mi>ω</mi><mi>n</mi></msup></mrow></semantics></math></inline-formula> at the low frequency regime, with the power exponent values in the range 0 < <i>n</i> < 1. At the high frequency regime, in many experimental data of different disordered materials, superlinear values of the power exponent <i>n</i> were observed. The observed superlinear values of the power exponent are usually within <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo><</mo><mi>n</mi><mo><</mo><mn>2</mn></mrow></semantics></math></inline-formula>, but in some cases values <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>></mo><mn>2</mn></mrow></semantics></math></inline-formula> were detected. The present work is based on the definitions of electromagnetic theory as well as the Havriliak–Negami equation and the damped harmonic oscillator equation, which are widely used for the description of dielectric relaxation mechanisms and vibration modes in the THz frequency region, respectively. This work focuses mainly on investigating the parameters that affect the power exponent and the range of possible <i>n</i> values.https://www.mdpi.com/2504-477X/6/7/200AC conductivityvibration modesdisordered materialscomposite materialssimulation |
| spellingShingle | Christos Tsonos Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator Journal of Composites Science AC conductivity vibration modes disordered materials composite materials simulation |
| title | Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator |
| title_full | Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator |
| title_fullStr | Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator |
| title_full_unstemmed | Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator |
| title_short | Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator |
| title_sort | exploring the high frequencies ac conductivity response in disordered materials by using the damped harmonic oscillator |
| topic | AC conductivity vibration modes disordered materials composite materials simulation |
| url | https://www.mdpi.com/2504-477X/6/7/200 |
| work_keys_str_mv | AT christostsonos exploringthehighfrequenciesacconductivityresponseindisorderedmaterialsbyusingthedampedharmonicoscillator |