Self-organized critical dynamics of a directed bond percolation model

TL;DR

This paper investigates the self-organized critical behavior of a directed bond percolation model, revealing power-law correlations and algebraic activity distributions, with implications for understanding interface dynamics.

Contribution

It introduces a rule similar to invasion percolation to induce self-organized criticality in a directed bond percolation model, analyzing its dynamical exponents and activity patterns.

Findings

Dynamical exponents show Galilean invariance.

Activity exhibits non-trivial power-law correlations.

Activity distribution follows an algebraic relation.

Abstract

We study roughening interfaces with a constant slope that become self organized critical by a rule that is similar to that of invasion percolation. The transient and critical dynamical exponents show Galilean invariance. The activity along the interface exhibits non-trivial power law correlations in both space and time. The probability distribution of the activity pattern follows an algebraic relation.