Self-organized criticality as an absorbing-state phase transition

  title={Self-organized criticality as an absorbing-state phase transition},
  author={Ronald Dickman and Alessandro Vespignani and Stefano Zapperi},
  journal={Physical Review E},
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… 

Figures from this paper

Self-organized criticality and absorbing states: lessons from the Ising model.
We investigate a suggested path to self-organized criticality. Originally, this path was devised to ``generate criticality'' in systems displaying an absorbing-state phase transition, but nothing in
Absorbing phase transitions in deterministic fixed-energy sandpile models.
It is argued that choosing recurrent configurations of the corresponding ASM as an initial configuration does not allow for a nontrivial APT in the DFES, and a microscopic absorbing phase transition of the BTW-FES is discussed to find that the phase transition is related to the dynamical isotropic percolation process rather than self-organized criticality.
Universality class of nonequilibrium phase transitions with infinitely many-absorbing-states
We consider systems whose steady states exhibit a nonequilibrium phase transition from an active state to one-among an infinite number-absorbing state, as some control parameter is varied across a
Stochastic oscillations produce dragon king avalanches in self-organized quasi-critical systems
In the last decade, several models with network adaptive mechanisms (link deletion-creation, dynamic synapses, dynamic gains) have been proposed as examples of self-organized criticality (SOC) to
Absorbing-state transition for Stochastic Sandpiles and Activated Random Walks
We study the dynamics of two conservative lattice gas models on the infinite d-dimensional hypercubic lattice: the Activated Random Walks (ARW) and the Stochastic Sandpiles Model (SSM), introduced in
Self-organized criticality
The concept of self-organized criticality was introduced to explain the behaviour of the sandpile model. In this model, particles are randomly dropped onto a square grid of boxes. When a box
Stochastic oscillations and dragon king avalanches in self-organized quasi-critical systems
This work makes a linear stability analysis of the mean field fixed points of two self-organized quasi-critical systems: a fully connected network of discrete time stochastic spiking neurons with firing rate adaptation produced by dynamic neuronal gains and an excitable cellular automata with depressing synapses and predicts the coexistence of these different types of neuronal activity.
Crossover component in non critical dissipative sandpile models
Abstract.The effect of bulk dissipation on non critical sandpile models is studied using both multifractal and finite size scaling analyses. We show numerically that the local limited (LL) model
Nonequilibrium phase transitions in epidemics and sandpiles
Nonequilibrium phase transitions between an active and an absorbing state are found in models of populations, epidemics, autocatalysis, and chemical reactions on a surface. While absorbing-state
Self-organized quantization and oscillations on continuous fixed-energy sandpiles
Atmospheric self-organization and activator-inhibitor dynamics in biology provide examples of checkerboard-like spatio-temporal organization. We study a simple model for local activationinhibition


NATO Advanced Study Institute.
  • M. Wolbarsht
  • Engineering, Medicine
    IEEE transactions on medical imaging
  • 1986
At the beginning of this symposium, Dr. K. Smith presented the basic laws of photobiology. However, as the laser is a special type of light source, so indeed, the laws of photobiology take a special
How Nature Works