Published April 8, 2005
| Version v1
Journal article
AC properties of 3d Sierpinski gaskets: rigorous results
Creators
- 1. Istituto Nazionale Fisica della Materia (INFM), Dipartimento di Fisica, Universita di Parma, Parco Area delle Scienze, 7A 43100 Parma (Italy)
Description
The problem of the decimation of a network of impedances on the three-dimensional Sierpinski gasket is solved: the exact map M is given and its asymptotic behaviours are studied. The most significant invariant subspaces of M and the associated submaps are considered. This also allows us to address the problem of small-size phenomena, such as oscillating asymptotic behaviour, on this kind of fractal. The set of the resonances of the system and the frequency dependence of the total impedance are studied both in the thermodynamic limit and in mesoscopic systems
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/3065/a5_14_001.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/3065/a5_14_001.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/14/001;
- PII
- S0305-4470(05)91214-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 14
- Journal Page Range
- p. 3065-3085
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36096225
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EXACT SOLUTIONS; FRACTALS; FREQUENCY DEPENDENCE; IMPEDANCE; MAPS; RESONANCE; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- MATHEMATICAL SOLUTIONS