Universality beyond power laws and the average avalanche shape

By S. Papanikolaou, F. Bohn, R. L. Sommer, G. Durin, Stefano Zapperi, James P. Sethna. 2011

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Criticality in the brain: A synthesis of neurobiology, models and cognition. (2017, background): “…a very broad range of physical systems over many decades (Kosterlitz and Thouless, 1973; Yang and Lee, 1952) and their study remains one of the most active areas of research in branches of physics such as statistical mechanics (Papanikolaou et al., 2011; Sethna et al., 2001; Zapperi et al., 2005).”
Being Critical of Criticality in the Brain (2012, methodology): “, 2001) and in experiments (Papanikolaou et al., 2011), the sizes of these avalanches are distributed according to a power law when the system is at the critical temperature (Perkovic et al.”
Deformation and flow of amorphous solids: Insights from elastoplastic models (2017, background): “…the film thickness, which controls the long-range dipolar interactions, is such that mean field is valid, the average shape V (t|T ) of avalanches of duration T is well described in the scaling limit by an inverted parabola (Papanikolaou et al., 2011), viz., V (t|T ) ∝ T t̃(1− t̃) where t̃ ≡ t/T .”
Spike avalanches in vivo suggest a driven, slightly subcritical brain state (2014, background): “Currently, these approaches threshold the activity and thereby introduce pauses (e.g., Spasojević et al., 1996; Papanikolaou et al., 2011; Poil et al., 2012).”