Inhomogeneous sandpile model: Crossover from multifractal scaling to finite size scaling
| dc.creator | Cernak, Jozef | |
| dc.date | 2005-10-12 | |
| dc.date | 2006-11-02 | |
| dc.date.accessioned | 2026-07-07T06:44:20Z | |
| dc.date.available | 2026-07-07T06:44:20Z | |
| dc.description | We study an inhomogeneous sandpile model in which two different toppling rules are defined. For any site only one rule is applied corresponding to either the Bak, Tang and Wiesenfeld model {[}P.Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. \textbf{59}, 381 (1987){]} or the Manna two-state sandpile model {[}S. S. Manna, J. Phys. A \textbf{24}, L363 (1991){]}. A parameter $c$ is introduced which describes a density of sites which are randomly deployed and where the stochastic Manna rules are applied. The results show that the avalanche area exponent $τ_{a}$, avalanche size exponent $τ_{s}$, and capacity fractal dimension $D_{s}$ depend on the density $c$. A crossover from multifractal scaling of the Bak, Tang, and Wiesenfeld model ($c=0$) to finite size scaling was found. The critical density $c$ is found to be in the interval $0<c<0.01$. These results demonstrate that local dynamical rules are important and can change the global properties of the model. | |
| dc.description | 17 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0510326 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0510326 | |
| dc.identifier | Physical Review E 73, 066125 (2006) | |
| dc.identifier | doi:10.1103/PhysRevE.73.066125 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102745 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Inhomogeneous sandpile model: Crossover from multifractal scaling to finite size scaling | |
| dc.type | text |