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Crackling noise in fractional percolation
Malte Schröder1, S H Ebrahimnazhad Rahbari, Jan Nagler
1Max Planck Institute for Dynamics & Self-Organization, Am Fassberg 17, 37077 Göttingen, Germany.
Nature Communications
|July 27, 2013
Summary
Fractional percolation suppresses cluster coalescence, explaining crackling noise. This new framework links percolation to phenomena like Barkhausen noise, revealing random jumps in order parameters.
Area of Science:
- Physics
- Statistical Mechanics
- Complex Systems
Background:
- Crackling noise is observed in systems pushed slowly, like crumpling paper.
- Standard percolation models involve cluster merging until a giant component forms.
Purpose of the Study:
- To establish fractional percolation, suppressing coalescence of size-disparate clusters.
- To link crackling noise to fractional percolation and its characteristic random jumps.
Main Methods:
- Identifying and studying percolation models exhibiting multiple order parameter jumps.
- Analyzing the random distribution of jump positions and magnitudes.
Main Results:
- Fractional percolation systematically suppresses the coalescence of clusters with significantly different sizes.
- Percolation models were found to exhibit multiple, randomly distributed jumps in the order parameter.
Conclusions:
- Crackling noise can be explained by the concept of fractional percolation.
- This framework connects percolation to non-self-averaging phenomena like Barkhausen noise.
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