Colloquium: Criticality and dynamical scaling in living systems

MA Munoz - Reviews of Modern Physics, 2018 - APS
A celebrated and controversial hypothesis suggests that some biological systems—parts,
aspects, or groups of them—may extract important functional benefits from operating at the …

Universal scaling behavior of non-equilibrium phase transitions

S Lübeck - International Journal of Modern Physics B, 2004 - World Scientific
Non-equilibrium critical phenomena have attracted a lot of research interest in the recent
decades. Similar to equilibrium critical phenomena, the concept of universality remains the …

Feedback mechanisms for self-organization to the edge of a phase transition

V Buendía, S Di Santo, JA Bonachela… - Frontiers in physics, 2020 - frontiersin.org
Scale-free outbursts of activity are commonly observed in physical, geological, and
biological systems. The idea of self-organized criticality (SOC), introduced back in 1987 by …

Self-organization without conservation: true or just apparent scale-invariance?

JA Bonachela, MA Munoz - Journal of Statistical Mechanics …, 2009 - iopscience.iop.org
The existence of true scale-invariance in slowly driven models of self-organized criticality
without a conservation law, such as forest-fires or earthquake automata, is scrutinized in this …

[PDF][PDF] Self-organized criticality systems

MJ Aschwanden - Open Aca, 2013 - ulrich-von-kusserow.de
The following chapter provides an overview of the techniques used to understand Self-
Organised Criticality (SOC) by performing computer simulations. Those are of particular …

Nonergodicity in the anisotropic dicke model

W Buijsman, V Gritsev, R Sprik - Physical Review Letters, 2017 - APS
We study the ergodic-nonergodic transition in a generalized Dicke model with independent
corotating and counterrotating light-matter coupling terms. By studying level statistics, the …

Self-organized quantization and oscillations on continuous fixed-energy sandpiles

J Niehues, GG Jensen, JO Haerter - Physical Review E, 2022 - APS
Atmospheric self-organization and activator-inhibitor dynamics in biology provide examples
of checkerboardlike spatiotemporal organization. We study a simple model for local …

Driving sandpiles to criticality and beyond

A Fey, L Levine, DB Wilson - Physical review letters, 2010 - APS
A popular theory of self-organized criticality relates driven dissipative systems to systems
with conservation. This theory predicts that the stationary density of the Abelian sandpile …

Approach to criticality in sandpiles

A Fey, L Levine, DB Wilson - Physical Review E—Statistical, Nonlinear, and …, 2010 - APS
A popular theory of self-organized criticality predicts that the stationary density of the Abelian
sandpile model equals the threshold density of the corresponding fixed-energy sandpile. We …

Exact solution of the one-dimensional deterministic fixed-energy sandpile

L Dall'Asta - Physical review letters, 2006 - APS
By reason of the strongly nonergodic dynamical behavior, universality properties of
deterministic fixed-energy sandpiles are still an open and debated issue. We investigate the …