Scaling and criticality in a phenomenological renormalization group
Giorgio Nicoletti, Samir Suweis, Amos Maritan
Abstract
This work presents a study of a phenomenological renormalization group that has been recently introduced to coarse-grain data of neural activity. The authors show that only some of the proposed observables display a tight relation between scaling and criticality, and that even in simple models with spectral degeneracy one might see spurious scaling features.
Topics & Concepts
ScalingSpurious relationshipObservableCriticalityRenormalization groupStatistical physicsPhysicsDegeneracy (biology)RenormalizationSimple (philosophy)Work (physics)Widom scalingCritical phenomenaPhenomenological modelTheoretical physicsFunctional renormalization groupMathematicsRelation (database)Non-equilibrium thermodynamicsDensity matrix renormalization groupFunction (biology)Spectrum (functional analysis)Correlation function (quantum field theory)Operator (biology)Context (archaeology)Group (periodic table)Quantum mechanicsCritical exponentNeural dynamics and brain functionFunctional Brain Connectivity StudiesTheoretical and Computational Physics