MURAL - Maynooth University Research Archive Library



    Multifractal analysis of selected rare-earth elements.


    Cummings, A. and O'Sullivan, G. and Hanan, W.G. and Heffernan, Daniel (2001) Multifractal analysis of selected rare-earth elements. Journal of Physics B: Atomic, Molecular and Optical Physics, 34 (13). pp. 2547-2573.

    [img]
    Preview
    Download (1MB) | Preview
    Official URL: http://iopscience.iop.org/journal/0953-4075


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    The multifractal formalism is applied to the energy eigenvalues of Ce I, CeII, Nd II, SmI, SmII, and Tb I. The R´enyi dimensionsDq , mass exponents τ(q) and f (α) spectra are calculated and used to characterize the eigenvalue spectra. It is found that these elements show multi-scaling behaviour that can be accurately modelled by simple multifractal recursive Cantor sets. The effect of unfolding the spectra is also investigated.

    Item Type: Article
    Keywords: multifractal analysis; rare-earth elements;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 9704
    Depositing User: Prof. Daniel Heffernan
    Date Deposited: 20 Jul 2018 09:11
    Journal or Publication Title: Journal of Physics B: Atomic, Molecular and Optical Physics
    Publisher: IOP Science
    Refereed: Yes
    URI:

      Repository Staff Only(login required)

      View Item Item control page

      Downloads

      Downloads per month over past year