Fluctuations of a surface relaxation model in interacting scale free networks

MARCOS F .TORRES ; LIDIA A. BRAUNSTEIN; CRISTIAN E. LA ROCCA

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2016 vol. 463 p. 182 - 187

0378-4371

Isolated complex networks have been studied deeply in the last decades due to the factthat many real systems can be modeled using these types of structures. However, it is wellknown that the behavior of a system not only depends on itself, but usually also dependson the dynamics of other structures. For this reason, interacting complex networks andthe processes developed on them have been the focus of study of many researches in thelast years. One of the most studied subjects in this type of structures is the Synchronizationproblem, which is important in a wide variety of processes in real systems. In thismanuscript we study the synchronization of two interacting scale-free networks, in whicheach node has ke dependency links with different nodes in the other network. We mapthe synchronization problem with an interface growth, by studying the fluctuations in thesteady state of a scalar field defined in both networks.We find that as ke slightly increases from ke = 0, there is a really significant decreasing in the fluctuations of the system. However, this considerable improvement takes place mainly for small values of ke, when the interaction between networks becomes stronger there is only a slight change in the fluctuations. We characterize how the dispersion ofthe scalar field depends on the internal degree, and we show that a combination between the decreasing of this dispersion and the integer nature of our growth model are the responsible for the behavior of the fluctuations with ke.