Scaling and universality in binary fragmenting with inhibition

Details Scaling and universality in binary fragmenting with inhibition Scaling and universality in binary fragmenting with inhibition

1995-12-13

arxiv.org/abs/adap-org/9512001v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

14 pages, latex file, figures available upon request; Physica A, in print

Scientific paper

We investigate a new model of binary fragmentation with inhibition, driven by the white noise. In a broad range of fragmentation probabilities, the power-law spatiotemporal correlations are found to arise due to self-organized criticality (SOC). We find in the SOC phase a non-trivial power spectrum of the temporal sequence of the fragmentation events. The $1/f$~ behaviour is recovered in the irreversible, near-equilibrium part of this phase.

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