Lévy Flights, 1/f Noise and Self Organized Criticality

DOI: 10.4236/jmp.2013.43046   PDF   HTML   XML   4,394 Downloads   7,605 Views   Citations


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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O. Corona, P. Padilla, O. Escolero, A. Frank and R. Fossion, "Lévy Flights, 1/f Noise and Self Organized Criticality," Journal of Modern Physics, Vol. 4 No. 3, 2013, pp. 337-343. doi: 10.4236/jmp.2013.43046.

Conflicts of Interest

The authors declare no conflicts of interest.


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