Can I read Continuum Theory with Memory for Avalanches in Self-Organized Criticality on EtoBox?

Continuum Theory with Memory for Avalanches in Self-Organized Criticality by Paczuski, Maya; Boettcher, Stefan is a scholarly article available to read on EtoBox.

What is Continuum Theory with Memory for Avalanches in Self-Organized Criticality about?

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.

Author

Paczuski, Maya; Boettcher, Stefan

Published

1996

Language

EN