Continuum Theory with Memory for Avalanches in Self-Organized Criticality
| dc.creator | Paczuski, Maya | |
| dc.creator | Boettcher, Stefan | |
| dc.date | 1996-03-12 | |
| dc.date.accessioned | 2026-07-07T09:11:10Z | |
| dc.date.available | 2026-07-07T09:11:10Z | |
| dc.description | The propagator for the activity in a broad class of self-organized critical models obeys an imaginary-time Schrödinger equation with a nonlocal, history-dependent potential representing memory. Consequently, the probability for an avalanche to spread beyond a distance $r$ in time $t$ has an anomalous tail $\exp{[-C\,x^{1/(D-1)}]}$ for $x=r^D/t \gg 1$ and $D>2$, indicative of glassy dynamics. The theory is verified for an exactly solvable model, where $D=4$ and $C=3/4$, and for the Bak-Sneppen model where it is tested numerically. | |
| dc.description | 12 pages, Revtex, uuencoded, (2 ps-figures included) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9603085 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9603085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151585 | |
| dc.subject | Condensed Matter | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | Continuum Theory with Memory for Avalanches in Self-Organized Criticality | |
| dc.type | text |