V. Paar (Univ. Zagreb) - Power laws and fractal behavior in
nuclear stability, atomic weights and molecular weights
- Accession Number
- 569BD-0009
- Document Delivery
- 569BD: Document Delivery available
- Authors
- Paar
V. Pavin
N. Rubcic
A. Rubcic
J.
- Author e-mail Address
- paar@hazu.hr
- Title
- Power laws and fractal behavior in nuclear stability, atomic weights and
molecular weights
- Source
- Chaos Solitons & Fractals. 14(6):901-916, 2002 Oct.
- Abbreviated Source
- Chaos Solitons Fractals. 14(6):901-916, 2002 Oct.
- Copyright Publisher
- PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON,
OXFORD OX5 1GB, ENGLAND. URL: http://www.elsevier.nl
- ISSN
- 0960-0779
- KeyWords Plus
- X-ray-scattering.
Basin
boundaries. Colloidal
aggregation. Superheavy
nuclei. Growth-process.
Surfaces.
Particles.
Dimension.
Geometry.
Pendulum.
- Abstract
- A power law is introduced for the description of the line of stability of
atomic nuclei. and for the description of atomic weights and molecular
weights. The power law for the line of stability is compared with the semi-empirical
formula of the liquid drop model. It is shown that the power law corresponds
to a reduction of neutron excess in superheavy nuclei with respect to the
semi-microscopic formula. Some fractal features of the nuclear valley of
stability and of the isotopic abundance set of molecules are shown and the
corresponding fractal dimensions are determined. With respect to the problem
of truncating fractals of natural objects, it is shown that a simple
mathematical model of an extended map on an annulus provides a similar type
of truncated fractals. It is argued that the origin of the observed fractal
property of nuclei. atoms and molecules lies in the basic fractal nature of
quantum mechanics. (C) 2002 Elsevier Science Ltd. All rights reserved. [References:
76]
- Language
- English
- Publication Type
- Article
- Subset
- Current Contents(R)/Physical, Chemical & Earth Sciences.
- CC Categories
- Multidisciplinary in Current Contents(R)/Physical, Chemical & Earth
Sciences.
- Entry Week
- 2002 week 30
- Reprint Address
- Reprint available from: Paar V. Univ Zagreb, Fac Sci, Dept Phys,
Bijenicka 32, Zagreb 10000, Croatia.
- Institution
- Reprint available from:
Paar V
Univ Zagreb, Fac Sci, Dept Phys
Bijenicka 32
Zagreb 10000
Croatia
Univ Zagreb, Fac Sci, Dept Phys
Zagreb 10000
Croatia