Multifractal analysis of selected rare-earth elements

Authors
Cummings, A O'Sullivan, G Hanan, WG Heffernan, DM
Citation
A. Cummings et al., Multifractal analysis of selected rare-earth elements, J PHYS B, 34(13), 2001, pp. 2547-2573
Citations number
21
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
ISSN journal
09534075 → ACNP
Volume
34
Issue
13
Year of publication
2001
Pages
2547 - 2573
Database
ISI
SICI code
0953-4075(20010714)34:13<2547:MAOSRE>2.0.ZU;2-X
Abstract
The multifractal formalism is applied to the energy eigenvalues of Ce I, Ce a, Nd II, Sm I, Sm II, and Tb I. The Renyi dimensions D-q, mass exponents tau (q) and f(alpha) spectra are calculated and used to characterize the ei genvalue spectra: It is found that these elements show mufti-scaling behavi our that can be accurately modelled by simple multifractal recursive Cantor sets. The effect of unfolding the spectra is also investigated.