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Lévy Flights, 1/f Noise and Self Organized Criticality

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Author(s): Oliver López Corona | Pablo Padilla | Oscar Escolero | Alejandro Frank | Ruben Fossion

Journal: Journal of Modern Physics
ISSN 2153-1196

Volume: 04;
Issue: 03;
Start page: 337;
Date: 2013;
Original page

Keywords: Lévy Flights | 1/f Noise | Self Organized Criticality | Agents Modelling | Complexity

ABSTRACT
  A new analysis of a previously studied traveling agent model, showed that there is a relation between the degree of homogeneity of the medium where the agents move, agent motion patterns, and the noise generated from their displacements. We proved that for a particular value of homogeneity, the system self organizes in a state where the agents carry out Lévy walks and the displacement signal corresponds to 1/f noise. Using probabilistic arguments, we conjectured that 1/f noise is a fingerprint of a statistical phase transition, from randomness (disorder) to predictability (order), and that it emerges from the contextuality nature of the system which generates it.
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Tango Jona
Tangokurs Rapperswil-Jona