Compensation between the parameters of the Jonschers's Universal Relaxation Law in disordered materials
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910028410126336 |
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| author | Papathanassiou, Anthony N. Sakellis, Elias |
| author_facet | Papathanassiou, Anthony N. Sakellis, Elias |
| contents | Experimental results for a huge number of different materials published during the past fifty years confirm the validity of the Jonscher's Universal Dielectric Response Law. Accordingly,the ac conductivity is a fractional power of frequency. AC conductivity spectra recorded at different temperatures evidence for a proportionality between the logarithm of the pre-exponential factor to the fractional exponent, as well. The dc conductivity, pre-exponential factor and fractional exponent of the ac conductivity are three state variables, which describe the electric and dielectric properties. These constitute a unique relation by merging the Jonscher's Dielectric Response Law and the Ghosh - Pan Scaling Rule, respectively. A partial differentiation chain theorem combined with the temperature dependencies of the dc conductivity, pre-exponential factor and fractional exponent of the ac response, establishes a compensation rule between the parameters of the Universal Dielectric Response Law. The compatibility of the present theorynwth published experimental results is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compensation between the parameters of the Jonschers's Universal Relaxation Law in disordered materials Papathanassiou, Anthony N. Sakellis, Elias Disordered Systems and Neural Networks Experimental results for a huge number of different materials published during the past fifty years confirm the validity of the Jonscher's Universal Dielectric Response Law. Accordingly,the ac conductivity is a fractional power of frequency. AC conductivity spectra recorded at different temperatures evidence for a proportionality between the logarithm of the pre-exponential factor to the fractional exponent, as well. The dc conductivity, pre-exponential factor and fractional exponent of the ac conductivity are three state variables, which describe the electric and dielectric properties. These constitute a unique relation by merging the Jonscher's Dielectric Response Law and the Ghosh - Pan Scaling Rule, respectively. A partial differentiation chain theorem combined with the temperature dependencies of the dc conductivity, pre-exponential factor and fractional exponent of the ac response, establishes a compensation rule between the parameters of the Universal Dielectric Response Law. The compatibility of the present theorynwth published experimental results is discussed. |
| title | Compensation between the parameters of the Jonschers's Universal Relaxation Law in disordered materials |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2505.18515 |