The effect of temporal disorder on Complex Systems: Temporal Griffiths Phases

Abstract

The object of research of this branch of Science are the Complex Systems. They consist of a huge number of constituents whose nonlinear interactions give rise to emergent hierarchial structures. The tools necessary to study all this phenomenology are provided by Statistical Mechanics, a mathematical formalism which can be applied to many different sciences including economics, population biology or sociology. It is, hence, a powerful Cross-Disciplinary methodology for the study of emergent phenomena at a macroscopic level caused by the many interactions taking place at microscopic scales. It provides a framework which makes possible to encapsulate the huge number of microscopic degrees of freedom of a complex system into just a few at a macroscopic scale.