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Phases description in ranked complex system

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

Recently, many efforts have been addressed to describe complex systems in terms of the interaction between their elements, and proposing micro-variables. Most of these efforts dedicated to study problems in the so called sociophysics and econophysics. In this work a different perspective is adopted to propose the use a renormalization of the grades in a ranked complex system in order to build a macroscopic point of view. In particular the renormalization was applied to the study of the evolution of the impact factors of scientific journals, where the scheme can be considered like a new framework able to describe important features. These new set of macroscopic variables can be analyzed on time and we found an attractor point in the new phase space as can be seen in the figure. This fact seems to indicate prefered equilibrium states in the new set of varibles.

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