Continuum Theory with Memory for Avalanches in Self-Organized Criticality

Дата и время публикации : 1996-03-12T23:31:50Z

Авторы публикации и институты :
Maya Paczuski (Brookhaven National Laboratory, University of Oklahoma)
Stefan Boettcher (Brookhaven National Laboratory, University of Oklahoma)

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 12 pages, Revtex, uuencoded, (2 ps-figures included)
Первичная категория: cond-mat

Все категории : cond-mat, adap-org, nlin.AO

Краткий обзор статьи: The propagator for the activity in a broad class of self-organized critical models obeys an imaginary-time Schr"odinger 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.

Category: Physics