https://doi.org/10.1007/s100510050910
Self-organized criticality on quasiperiodic graphs
Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38,
01187 Dresden, Germany
Corresponding author: a joseph@mpipks-dresden.mpg.de
Revised:
30
June
1999
Published online: 15 September 1999
Self-organized critical models are used to describe the 1/f-spectra of rather different physical situations like snow avalanches, noise of electric currents, luminosities of stars or topologies of landscapes. The prototype of the SOC-models is the sandpile model of Bak, Tang and Wiesenfeld (Phys. Rev. Lett. 59, 381 (1987)). We implement this model on non-periodic graphs where it can become either isotropic or anisotropic and compare its properties with the periodic counterpart on the square lattice.
PACS: 61.44.Br – Quasicrystals / 05.65.+b – Self-organized systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999