Sandpile on Scale-Free Networks
| dc.creator | Goh, K. -I. | |
| dc.creator | Lee, D. -S. | |
| dc.creator | Kahng, B. | |
| dc.creator | Kim, D. | |
| dc.date | 2003-05-19 | |
| dc.date | 2003-10-02 | |
| dc.date.accessioned | 2026-07-07T02:51:24Z | |
| dc.date.available | 2026-07-07T02:51:24Z | |
| dc.description | We investigate the avalanche dynamics of the Bak-Tang-Wiesenfeld (BTW) sandpile model on scale-free (SF) networks, where threshold height of each node is distributed heterogeneously, given as its own degree. We find that the avalanche size distribution follows a power law with an exponent $τ$. Applying the theory of multiplicative branching process, we obtain the exponent $τ$ and the dynamic exponent $z$ as a function of the degree exponent $γ$ of SF networks as $τ=γ/(γ-1)$ and $z=(γ-1)/(γ-2)$ in the range $2 < γ< 3$ and the mean field values $τ=1.5$ and $z=2.0$ for $γ>3$, with a logarithmic correction at $γ=3$. The analytic solution supports our numerical simulation results. We also consider the case of uniform threshold, finding that the two exponents reduce to the mean field ones. | |
| dc.description | 4 pages, 3 figures, 1 table, revtex4, final version appeared in PRL | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0305425 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0305425 | |
| dc.identifier | Phys. Rev. Lett. 91, 148701 (2003) | |
| dc.identifier | doi:10.1103/PhysRevLett.91.148701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21444 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Sandpile on Scale-Free Networks | |
| dc.type | text |