Scott, J. F. (2007) Fractal dimensions in switching kinetics of ferroelectrics. Ferroelectrics, 349. pp. 157-162. DOI https://doi.org/10.1080/00150190701260934
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Abstract
Early work by the author with Prof. Ishibashi [Scott et al., J. Appl. Phys. 64, 787 (1988)] showed that switching kinetics in ferroelectrics satisfy a constraint on current transients compatible with d = 2.5 dimensionality. At that time with no direct observations of the domains, it was not possible to conclude whether this was a true Hausdorff dimension or a numerical artefact caused by an approximation in the theory (which ignored the dependence of domain wall velocity upon domain diameter). Recent data suggest that the switching dimensionality is truly fractal with d = 2.5. The critical exponent b characterizing the order parameter P(T) can be written as a continuous function of dimension d as b(d) = [n(d)/2] [d+h(d)-2], which is exact within hyperscaling; here n and h are the exponents characterizing the pair correlation function G(r,T) and the structure factor S(q,T). For d=2.5 the estimate is that b is approximately ¼.
Item Type: | Article |
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Uncontrolled Keywords: | 2007 AREP 2007 P IA54 |
Subjects: | 03 - Mineral Sciences |
Divisions: | 03 - Mineral Sciences |
Journal or Publication Title: | Ferroelectrics |
Volume: | 349 |
Page Range: | pp. 157-162 |
Identification Number: | https://doi.org/10.1080/00150190701260934 |
Depositing User: | Sarah Humbert |
Date Deposited: | 16 Feb 2009 13:03 |
Last Modified: | 23 Jul 2013 10:08 |
URI: | http://eprints.esc.cam.ac.uk/id/eprint/670 |
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