alexa Abstract | Fractional Time Defect-Diffusion Model of Dielectric Relaxation
ISSN: 2320-2459

Research & Reviews: Journal of Pure and Applied Physics
Open Access

OMICS International organises 3000+ Global Conferenceseries Events every year across USA, Europe & Asia with support from 1000 more scientific Societies and Publishes 700+ Open Access Journals which contains over 50000 eminent personalities, reputed scientists as editorial board members.

Open Access Journals gaining more Readers and Citations

700 Journals and 15,000,000 Readers Each Journal is getting 25,000+ Readers

This Readership is 10 times more when compared to other Subscription Journals (Source: Google Analytics)

Research Article Open Access

Abstract

The defect-diffusion model has been used to explicate dielectric relaxation and other relaxation phenomena observed in some dielectric materials. In the model it was assumed that the defects move through the system by random-walk in one-dimension and the relaxation, which is instantaneous and independent of the state of other dipole sites, can only occur when a defect diffuses to a dipole. In this study, the defect-diffusion model is reconsidered by using the fractional calculus technique, and the model is extended to one- and three-dimensional fractional defect-diffusion model. A dipole correlation function derived from the fractional approach is identical with the Kohlrausch-Williams-Watts (KWW) non- exponential relaxation function, which is universal for describing the relaxation data of a wide variety of polar materials. Then, a new fractional complex susceptibility obtained from the defect diffusion model assisted fractional calculus is exposed, and it is shown that the results are compatible with empirical Cole-Cole and the Cole-Davidson type behavior, and Havriliak-Negami behavior is also obtained under the certain limits. The results obtained lead to a molecular interpretation of non-Debye type behavior. This suggests possible microscopic mechanisms for relaxation in polar materials having molecular chains.

To read the full article Peer-reviewed Article PDF image | Peer-reviewed Full Article image

Author(s): Çavuş MS, Bozdemir S

Keywords

Dielectric relaxation, Defect diffusion, Fractional calculus, Fractional time, Acoustics, Aerospace, Applied physics, Atomic Nuclei, Computational Physics, Fluid Mechanics, Force, Geological Research, Gravity, Industrial Physics, Internal Energy, Molecular Physics, Oscillations, Phenomenology, Pure Physics, Quantum Physics, Radiation, Statistical Physics, Thermal Properties

Share This Page

Additional Info

Loading
Loading Please wait..
 
 
 
Peer Reviewed Journals
 
Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18
 
Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

Contact Us

 
© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version
adwords