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Why retardation takes more time than relaxation in a linear medium

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2008

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Richert, Ranko

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https://doi.org/10.1103/PhysRevE.77.031201
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Physical Review E. American Physical Society (APS). 2008, 77(3), 031201. ISSN 2470-0045. eISSN 2470-0053. Available under: doi: 10.1103/PhysRevE.77.031201

Zusammenfassung

For a linear medium, it is shown that the ratio of average relaxation to retardation time is given by the ratio of the high- to the low-frequency limit of the dielectric constants, τM/τε=ε∞/εs. This statement holds for dispersive dynamics, i.e., it is not limited to the special case of exponential responses. A second general relation is found for the relative relaxation-time dispersions, which implies that the relaxation is always more stretched than its retardation counterpart. A difference equation for the charge buildup is established which provides a rationale for why retardation requires more time than its relaxation counterpart. According to the equation, the slowness of the charge buildup is due to a renewal process of continuous re-investment of potential made redundant by relaxation. The relevance of the results to experimental situations is also discussed.

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ISO 690JÄCKLE, Josef, Ranko RICHERT, 2008. Why retardation takes more time than relaxation in a linear medium. In: Physical Review E. American Physical Society (APS). 2008, 77(3), 031201. ISSN 2470-0045. eISSN 2470-0053. Available under: doi: 10.1103/PhysRevE.77.031201
BibTex
@article{Jackle2008-03retar-58658,
  year={2008},
  doi={10.1103/PhysRevE.77.031201},
  title={Why retardation takes more time than relaxation in a linear medium},
  number={3},
  volume={77},
  issn={2470-0045},
  journal={Physical Review E},
  author={Jäckle, Josef and Richert, Ranko},
  note={Article Number: 031201}
}
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