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

@article{Dickman1998SelforganizedCA, title={Self-organized criticality as an absorbing-state phase transition}, author={Ronald Dickman and Alessandro Vespignani and Stefano Zapperi}, journal={Physical Review E}, year={1998}, volume={57}, pages={5095-5105} }

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…

## 116 Citations

Self-organized criticality and absorbing states: lessons from the Ising model.

- Mathematics, Physics
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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.

- Physics, MedicinePhysical review. E
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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

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- 2002

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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…

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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

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- 1999

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

- Computer Science, MedicineScientific Reports
- 2019

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

- Physics
- 2005

Abstract.The effect of bulk dissipation on non critical sandpile models is studied using both multifractal and finite size scaling analyses. We show
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- Physics
- 2002

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

- Physics
- 2021

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…

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