L&#233;vy Flights, 1/&lt;i&gt;f &lt;/i&gt; Noise and Self Organized Criticality | Zendy

Oliver López-Corona | Zendy; Pablo Padilla | Zendy; Óscar Escolero | Zendy; A. Frank | Zendy; Rubén Fossión | Zendy

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Lévy Flights, 1/<i>f </i> Noise and Self Organized Criticality

Author(s) -

Oliver López-Corona,

Pablo Padilla,

Óscar Escolero,

A. Frank,

Rubén Fossión

Publication year - 2013

Publication title -

journal of modern physics

Language(s) - English

Resource type - Journals

eISSN - 2153-120X

pISSN - 2153-1196

DOI - 10.4236/jmp.2013.43046

Subject(s) - homogeneity (statistics) , randomness , physics , probabilistic logic , statistical physics , noise (video) , mathematics , computer science , statistics , artificial intelligence , image (mathematics)

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.