Literature DB >> 18517362

Why retardation takes more time than relaxation in a linear medium.

Josef Jäckle1, Ranko Richert.   

Abstract

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, tau(M)/tau(epsilon)=epsilon_{infinity}/epsilon(s) . 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.

Entities:  

Year:  2008        PMID: 18517362     DOI: 10.1103/PhysRevE.77.031201

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  1 in total

1.  On the dynamics of liquids in their viscous regime approaching the glass transition.

Authors:  Z Chen; C A Angell; R Richert
Journal:  Eur Phys J E Soft Matter       Date:  2012-07-27       Impact factor: 1.890

  1 in total

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