ON FRACTIONAL RELAXATION-Reference-Cited by-同舟云学术

ON FRACTIONAL RELAXATION

Published:2003-02 Issue:supp01 Volume:11 Page:251-257
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

HILFER R.¹²

Affiliation:

1. ICA-1, Universität Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany

2. Institut f. Physik, Universität Mainz, 55099 Mainz, Germany

Abstract

Generalized fractional relaxation equations based on generalized Riemann-Liouville derivatives are combined with a simple short time regularization and solved exactly. The solution involves generalized Mittag-Leffler functions. The associated frequency dependent susceptibilities are related to symmetrically broadened Cole-Cole susceptibilities occurring as Johari Goldstein β-relaxation in many glass formers. The generalized susceptibilities exhibit a high frequency wing and strong minimum enhancement.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X03001914

Reference13 articles.

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2. Applications of Fractional Calculus in Physics

3. Glassy dynamics

4. Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics

5. Dielectric Relaxation in Glycerol, Propylene Glycol, andn‐Propanol

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