Fractional Equations of Curie-von Schweidler and Gauss Laws

Details Fractional Equations of Curie-von Schweidler and Gauss Laws Fractional Equations of Curie-von Schweidler and Gauss Laws

2009-07-10

arxiv.org/abs/0907.1837v1

Journal of Physics: Condensed Matter 20 (2008) 4145212

Physics

Optics

11 pages, LaTeX

Scientific paper

The dielectric susceptibility of most materials follows a fractional power-law frequency dependence that is called the "universal" response. We prove that in the time domain this dependence gives differential equations with derivatives and integrals of noninteger order. We obtain equations that describe "universal" Curie-von Schweidler and Gauss laws for such dielectric materials. These laws are presented by fractional differential equations such that the electromagnetic fields in the materials demonstrate "universal" fractional damping. The suggested fractional equations are common (universal) to a wide class of materials, regardless of the type of physical structure, chemical composition or of the nature of the polarization.

Affiliated with

Also associated with

No associations

Rating

Fractional Equations of Curie-von Schweidler and Gauss Laws does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractional Equations of Curie-von Schweidler and Gauss Laws, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Equations of Curie-von Schweidler and Gauss Laws will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-164832