TITLE:
Lévy Flights, 1/f Noise and Self Organized Criticality
AUTHORS:
Oliver López Corona, Pablo Padilla, Oscar Escolero, Alejandro Frank, Ruben Fossion
KEYWORDS:
Lévy Flights; 1/f Noise; Self Organized Criticality; Agents Modelling; Complexity
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.3,
March
8,
2013
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.