Comparison of multifractal and thermodynamical properties of fractal and natural spectra

Pedro Carpena, Ana V Coronado and Pedro Bernaola-Galván

Physica A: Statistical Mechanics and its Applications, 2000, vol. 287, issue 1, 37-48

Abstract: In this paper, we explain the multifractal and thermodynamical properties of deterministic fractal spectra, and compare the most relevant behaviors with those obtained for some natural spectra with multifractal properties. In particular, we compare the heat capacity, C(T), derived from Cantor-set-type spectra with the ones obtained from several atomic spectra. We find that, although many of the properties of deterministic fractals, previously reported, are also reproduced in natural fractals (oscillations of C(T) in log scale), new features appear in the natural case: the mean value of C(T) is not always related to the multifractal properties, and the oscillations are present in cases for which they disappear in deterministic fractals.

Keywords: Fractal; Multifractal; Spectrum; Heat capacity (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100004477
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:287:y:2000:i:1:p:37-48

DOI: 10.1016/S0378-4371(00)00447-7

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().