Self-organized criticality as an absorbing-state phase transition

Details Self-organized criticality as an absorbing-state phase transition Self-organized criticality as an absorbing-state phase transition

1997-12-10

arxiv.org/abs/cond-mat/9712115v1

Physical Review E57, 5095 (1998)

Physics

Condensed Matter

Statistical Mechanics

19 pages, 9 figures

Scientific paper

10.1103/PhysRevE.57.5095

We explore the connection between self-organized criticality and phase transitions in models with absorbing states. Sandpile models are found to exhibit criticality only when a pair of relevant parameters - dissipation epsilon and driving field h - are set to their critical values. The critical values of epsilon and h are both equal to zero. The first is due to the absence of saturation (no bound on energy) in the sandpile model, while the second result is common to other absorbing-state transitions. The original definition of the sandpile model places it at the point (epsilon=0, h=0+): it is critical by definition. We argue power-law avalanche distributions are a general feature of models with infinitely many absorbing configurations, when they are subject to slow driving at the critical point. Our assertions are supported by simulations of the sandpile at epsilon=h=0 and fixed energy density (no drive, periodic boundaries), and of the slowly-driven pair contact process. We formulate a field theory for the sandpile model, in which the order parameter is coupled to a conserved energy density, which plays the role of an effective creation rate.

Affiliated with

Also associated with

No associations

Rating

Self-organized criticality as an absorbing-state phase transition 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 criticality as an absorbing-state phase transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-organized criticality as an absorbing-state phase transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527235