 Curie-von Schweidler Law
Get Curie%E2%80%93von Schweidler Law essential facts below. View Videos or join the Curie%E2%80%93von Schweidler Law discussion. Add Curie%E2%80%93von Schweidler Law to your PopFlock.com topic list for future reference or share this resource on social media.
Curie%E2%80%93von Schweidler Law

The Curie-von Schweidler law refers to the response of dielectric material to the step input of a direct current (DC) voltage first observed by Jacques Curie  and Egon Ritter von Schweidler.

## Overview

According to this law, the current decays according to a power law:

$I\left(t\right)\propto t^{-n},$ where $I\left(t\right)$ is the current at a given charging time, $t$ , and $n$ is the decay constant such that $0 . Given that the dielectric has a finite conductance, the equation for current measured through a dielectric under a DC electrical field is:

$I\left(t\right)=at^{b}+c,$ where $a$ is a constant of proportionality, $b$ is the decay constant (i.e., $b=-n$ ), and $c$ is the intrinsic conductance of the dielectric. This stands in contrast to the Debye formulation, which states that the current is proportional an exponential function with a time constant, $\tau$ , according to:

$I\left(t\right)\propto \exp \left\{-t/\tau \right\}$ .

The Curie-von Schweidler behavior has been observed in many instances such as those shown by Andrzej Ka Johnscher and Jameson et al. It has been interpreted as a many-body problem by Jonscher, but can also be formulated as an infinite number of resistor-capacitor circuits. This comes from the fact that the power law can be expressed as:

$t^{-n}={\frac {1}{\Gamma \left(n\right)}}\int _{0}^{\infty }\tau ^{-\left(n+1\right)}e^{-t/\tau }d\tau ,$ where $\Gamma \left(n\right)$ is the Gamma function. Effectively, this relationship shows the power law expression to be equivalent to an infinite weighted sum of Debye responses.