%0 Journal Article
%T Lévy Flights, 1/<i>f </i> Noise and Self Organized Criticality
%A Oliver L¨®pez Corona
%A Pablo Padilla
%A Oscar Escolero
%A Alejandro Frank
%A Ruben Fossion
%J Journal of Modern Physics
%P 337-343
%@ 2153-120X
%D 2013
%I Scientific Research Publishing
%R 10.4236/jmp.2013.43046
%X <p>
	<span style=\"font-family:Verdana;\">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 L¨¦vy walks and the displacement signal corresponds to </span><span><span style=\"font-family:Verdana;\">1/</span><i><span style=\"font-family:Verdana;\">f</span></i></span><span style=\"font-family:Verdana;\"> noise. Using probabilistic arguments, we conjectured that </span><span><span style=\"font-family:Verdana;\">1/</span><i><span style=\"font-family:Verdana;\">f</span></i></span><span style=\"font-family:Verdana;\"> 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.</span><span> </span> 
</p>
%K L&#233
%K vy Flights
%K 1/&lt
%K i&gt
%K f &lt
%K /i&gt
%K Noise
%K Self Organized Criticality
%K Agents Modelling
%K Complexity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=28603