Sierpinski signal generates $1/f^α$ spectra
| dc.creator | Claussen, Jens Christian | |
| dc.creator | Nagler, Jan | |
| dc.creator | Schuster, Heinz Georg | |
| dc.date | 2003-08-14 | |
| dc.date | 2004-05-15 | |
| dc.date.accessioned | 2026-07-07T06:31:51Z | |
| dc.date.available | 2026-07-07T06:31:51Z | |
| dc.description | We investigate the row sum of the binary pattern generated by the Sierpinski automaton: Interpreted as a time series we calculate the power spectrum of this Sierpinski signal analytically and obtain a unique rugged fine structure with underlying power law decay with an exponent of approximately 1.15. Despite the simplicity of the model, it can serve as a model for $1/f^α$ spectra in a certain class of experimental and natural systems like catalytic reactions and mollusc patterns. | |
| dc.description | 4 pages (4 figs included). Accepted for publication in Physical Review E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0308277 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0308277 | |
| dc.identifier | Phys. Rev. E 70, 032101 (2004) | |
| dc.identifier | doi:10.1103/PhysRevE.70.032101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98728 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Sierpinski signal generates $1/f^α$ spectra | |
| dc.type | text |