Journal of Modern Physics

Volume 4, Issue 3 (March 2013)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

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Lévy Flights, 1/f Noise and Self Organized Criticality

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DOI: 10.4236/jmp.2013.43046    4,404 Downloads   7,624 Views  Citations

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.

Share and Cite:

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.

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