Crackling Noise in Fractional Percolation -- Randomly distributed discontinuous jumps in explosive percolation

Abstract

Crackling noise is a common feature in many systems that are pushed slowly, the most familiar instance of which is the sound made by a sheet of paper when crumpled. In percolation and regular aggregation clusters of any size merge until a giant component dominates the entire system. Here we establish `fractional percolation' where the coalescence of clusters that substantially differ in size are systematically suppressed. We identify and study percolation models that exhibit multiple jumps in the order parameter where the position and magnitude of the jumps are randomly distributed - characteristic of crackling noise. This enables us to express crackling noise as a result of the simple concept of fractional percolation. In particular, the framework allows us to link percolation with phenomena exhibiting non-self-averaging and power law fluctuations such as Barkhausen noise in ferromagnets.

arXiv commentnon-final version, for final see Nature Communications homepage

References in corpus (20)

• Catastrophic cascade of failures in interdependent networks
• Crackling Noise
• "Explosive Percolation" Transition is Actually Continuous
• Beyond power laws: Universality in the average avalanche shape
• Self-organized adaptation of a simple neural circuit enables complex robot behaviour
• Impact of Single Links in Competitive Percolation -- How complex networks grow under competition
• Explosive Percolation is Continuous, but with Unusual Finite Size Behavior
• Explosive percolation in scale-free networks
• Explosive percolation via control of the largest cluster
• Signature of effective mass in crackling noise asymmetry
• Construction and Analysis of Random Networks with Explosive Percolation
• Local cluster aggregation models of explosive percolation
• Acoustic Emission from crumpling paper
• Growth dynamics and the evolution of cooperation in microbial populations
• Evolutionary game theory in growing populations
• Strongly discontinuous explosive percolation with multiple giant components
• Achlioptas process phase transitions are continuous
• Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition
• Achlioptas processes are not always self-averaging
• Scale Invariance and Lack of Self-Averaging in Fragmentation

Cited by in corpus (26)

• Recent advances in percolation theory and its applications
• Explosive Phenomena in Complex Networks
• Explosive Percolation: Novel critical and supercritical phenomena
• Critical behaviors in contagion dynamics
• Impact of embedding on predictability of failure-recovery dynamics in networks
• Micro-transition cascades to percolation
• Anomalous discontinuity at the percolation critical point of active gels
• Interevent time distribution, burst, and hybrid percolation transition
• Diverse types of percolation transitions
• Unstable supercritical discontinuous percolation transitions
• Analytical solution for a class of network dynamics with mechanical and financial applications
• Hysteretic percolation from locally optimal individual decisions
• Shortest-path percolation on random networks
• Controlling percolation with limited resources
• Fragmentation of fractal random structures
• Method for estimating critical exponents in percolation processes with low sampling
• Discrete Scale Invariance in Supercritical Percolation
• Evidence for an ancient sea level on Mars
• Genuine Non-Self-Averaging and Ultra-Slow Convergence in Gelation
• Possible Origin of Stagnation and Variability of Earth's Biodiversity
• Hysteresis and criticality in hybrid percolation transitions
• Degree product rule tempers explosive percolation in the absence of global information
• Adhesion-induced Discontinuous Transitions and Classifying Social Networks
• Link rewiring with local information--induced hybrid percolation transitions
• Universality in boundary domain growth by sudden bridging
• Discontinuous percolation via suppression of neighboring clusters in a network