2009

Universal Electromagnetic Waves in Dielectric

Tarasov, Vasily E.

Understand

The dielectric susceptibility of a wide class of dielectric materials follows, over extended frequency ranges, a fractional power-law frequency dependence that is called the "universal" response.

The electromagnetic fields in such dielectric media are described by fractional differential equations with time derivatives of non-integer order.
An exact solution of the fractional equations for a magnetic field is derived.
The electromagnetic fields in the dielectric materials demonstrate fractional damping.

Built on

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Similar

A.K. Jonscher, ”Dielectric relaxation with dipolar screening” J. Material Sci. 32
1997
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A.K. Jonscher, ”Dielectric relaxation in solids” J. Physics D Appl. Phys. 32
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1999
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J.C. Burnham, J. Li, S.S. Xantheas, M. Leslie, ”The parametrization of a Thole-type all-atom polarizable water model from first principles and its application to the study of water clusters (n=221) and the phonon spectrum of ice Ih” J. Chem. Phys. 110
1999
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Applications of Fractional Calculus in Physics
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V.V. Novikov, V.P. Privalko, ”Temporal fractal model for the anomalous dielectric relaxation of inhomogeneous media with chaotic structure” Phys. Rev. E. 64
2001
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Ya.E. Ryabov, Yu. Feldman, ”Novel approach to the analysis ofthe non-Debye dielectric spectrum broadening” Physica A 314
2002
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2002
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2002
Cited alongside, same era.

Then

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2005
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2006
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2006
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2006
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2006
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2006
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2006
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2007
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V.E. Tarasov, ”Fractional Calculus and Physics on Fractals” in ”Dynamical Chaos and Non-equilibrium Statistical Mechanics: From Rigorous Results to Applications in Nano-systems” Lecture Notes Series. (Singapore University Press and World Scientific, Singapore, 2009) to be published
2009
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