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Borough, J.W., Brammer, W.G. and Burnham, J. (1980) Degradation of PVDF Capacitors during Accelerated Tests. Report Huges Aircraft Company, Culver City, 219-223.

has been cited by the following article:

• TITLE: Revisiting the Curie-Von Schweidler Law for Dielectric Relaxation and Derivation of Distribution Function for Relaxation Rates as Zipf’s Power Law and Manifestation of Fractional Differential Equation for Capacitor

  AUTHORS: Shantanu Das

  KEYWORDS: Power Law, Relaxation Rate Distribution, Fractional Derivative, Fractional Integration, Curie-Von Schweidler Law, Time-Constants, Laplace Integral, Zipf’s Law, Integral Representation, Time Dependent Relaxation Rate, Scale Dependent Relaxation Rate, Non-Debye Relaxation

  JOURNAL NAME: Journal of Modern Physics, Vol.8 No.12, November 27, 2017

  ABSTRACT: The classical power law relaxation, i.e. relaxation of current with inverse of power of time for a step-voltage excitation to dielectric—as popularly known as Curie-von Schweidler law is empirically derived and is observed in several relaxation experiments on various dielectrics studies since late 19th Century. This relaxation law is also regarded as “universal-law” for dielectric relaxations; and is also termed as power law. This empirical Curie-von Schewidler relaxation law is then used to derive fractional differential equations describing constituent expression for capacitor. In this paper, we give simple mathematical treatment to derive the distribution of relaxation rates of this Curie-von Schweidler law, and show that the relaxation rate follows Zipf’s power law distribution. We also show the method developed here give Zipfian power law distribution for relaxing time constants. Then we will show however mathematically correct this may be, but physical interpretation from the obtained time constants distribution are contradictory to the Zipfian rate relaxation distribution. In this paper, we develop possible explanation that as to why Zipfian distribution of relaxation rates appears for Curie-von Schweidler Law, and relate this law to time variant rate of relaxation. In this paper, we derive appearance of fractional derivative while using Zipfian power law distribution that gives notion of scale dependent relaxation rate function for Curie-von Schweidler relaxation phenomena. This paper gives analytical approach to get insight of a non-Debye relaxation and gives a new treatment to especially much used empirical Curie-von Schweidler (universal) relaxation law.