From self-organized to extended criticality.

Frontiers in Physiology
Elisa LovecchioPaolo Grigolini

Abstract

We address the issue of criticality that is attracting the attention of an increasing number of neurophysiologists. Our main purpose is to establish the specific nature of some dynamical processes that although physically different, are usually termed as "critical," and we focus on those characterized by the cooperative interaction of many units. We notice that the term "criticality" has been adopted to denote both noise-induced phase transitions and Self-Organized Criticality (SOC) with no clear connection with the traditional phase transitions, namely the transformation of a thermodynamic system from one state of matter to another. We notice the recent attractive proposal of extended criticality advocated by Bailly and Longo, which is realized through a wide set of critical points rather than emerging as a singularity from a unique value of the control parameter. We study a set of cooperatively firing neurons and we show that for an extended set of interaction couplings the system exhibits a form of temporal complexity similar to that emerging at criticality from ordinary phase transitions. This extended criticality regime is characterized by three main properties: (i) In the ideal limiting case of infinitely large time perio...Continue Reading

Citations

Dec 3, 2014·Current Opinion in Neurobiology·Robert Kozma, Marko Puljic
Jan 10, 2018·Frontiers in Physiology·Marko GosakMarko Marhl
Jan 20, 2021·Scientific Reports·Zachary R AdamDmitry Yu Zubarev
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pensri PramukkulPaolo Grigolini

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