Berlin 2008 – wissenschaftliches Programm

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DF: Fachverband Dielektrische Festkörper

DF 6: Glasses I (joint session DF/DY)

DF 6.9: Vortrag

Dienstag, 26. Februar 2008, 11:45–12:00, EB 407

Fractional approaches in dielectric broadband spectroscopy — •Simon Candelaresi¹ and Rudolf Hilfer^1,2 — ¹ICP, Universität Stuttgart, 70569 Stuttgart, Germany — ²Institut für Physik, Universität Mainz, 55099 Mainz, Germany

A fractional approach is used to describe data from dielectric spectroscopy for several glassy materials. Using composite fractional time evolution propagators [1] a modified law for relaxation in glasses [2] is found that describes the experimental data for broadband dielectric spectroscopy [3]. Properties and solutions of some particular fractional differential equations (fDEQs) are investigated both for rational and irrational order. The laws of Debye, Kohlrausch, Cole-Cole, Cole-Davidson and Havriliak-Negami are compared with this new approach in frequency and time space.

[1] R. Hilfer; Time, Quantum and Information, L.Castell and O.Ischebeck (Eds.); Springer-Verlag Berlin 2003 p.235

[2] R. Hilfer Chemical Physics, 284, 399 (2002)

[3] U. Schneider et al., Phys. Rev. E, 59, 6924 (1999)