Self-Organized Branching Processes: A Mean-Field Theory for Avalanches

Details Self-Organized Branching Processes: A Mean-Field Theory for Avalanches Self-Organized Branching Processes: A Mean-Field Theory for Avalanches

1995-09-26

arxiv.org/abs/cond-mat/9509161v1

Phys. Rev. Lett. 75, 4071-4074 (1995)

Physics

Condensed Matter

4 pages + 4 ps figures

Scientific paper

10.1103/PhysRevLett.75.4071

We discuss mean-field theories for self-organized criticality and the connection with the general theory of branching processes. We point out that the nature of the self-organization is not addressed properly by the previously proposed mean-field theories. We introduce a new mean-field model that explicitly takes the boundary conditions into account; in this way, the local dynamical rules are coupled to a global equation that drives the control parameter to its critical value. We study the model numerically, and analytically we compute the avalanche distributions.

Affiliated with

Also associated with

No associations

Rating

Self-Organized Branching Processes: A Mean-Field Theory for Avalanches does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-Organized Branching Processes: A Mean-Field Theory for Avalanches, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-Organized Branching Processes: A Mean-Field Theory for Avalanches will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-443073