000075518 001__ 75518
000075518 005__ 20200117221636.0
000075518 0247_ $$2doi$$a10.1103/PhysRevX.8.031071
000075518 0248_ $$2sideral$$a107951
000075518 037__ $$aART-2018-107951
000075518 041__ $$aeng
000075518 100__ $$aTejedor, A.
000075518 245__ $$aDiffusion Dynamics and Optimal Coupling in Multiplex Networks with Directed Layers
000075518 260__ $$c2018
000075518 5060_ $$aAccess copy available to the general public$$fUnrestricted
000075518 5203_ $$aMultiplex networks have been intensively studied during the last few years as they offer a more realistic representation of many interdependent and multilevel complex networked systems. However, even if most real networks have some degree of directionality, the vast majority of the existent literature deals with multiplex networks where all layers are undirected. Here, we study the dynamics of diffusion processes acting on coupled multilayer networks where at least one layer consists of a directed graph; we call these directed multiplex networks. We reveal a new and unexpected signature of diffusion dynamics on directed multiplex networks, namely, that different from their undirected counterparts, they can exhibit a nonmonotonic rate of convergence to steady state as a function of the degree of coupling, resulting in a faster diffusion at an intermediate degree of coupling than when the two layers arc fully coupled. We use synthetic multiplex examples and real-world topologies to illustrate the characteristics of the underlying dynamics that give rise to a regime in which an optimal coupling exists. We further provide analytical and numerical evidence that this new phenomenon is solely a property of directed multiplex, where at least one of the layers exhibits sufficient directionality quantified by a normalized metric of asymmetry in directional path lengths. Given the ubiquity of both directed and multilayer networks in nature, our results have important implications for studying the dynamics of multilevel complex systems.
000075518 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E36-17R$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2017-87519-P
000075518 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000075518 590__ $$a12.211$$b2018
000075518 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b5 / 81 = 0.062$$c2018$$dQ1$$eT1
000075518 592__ $$a6.497$$b2018
000075518 593__ $$aPhysics and Astronomy (miscellaneous)$$c2018$$dQ1
000075518 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000075518 700__ $$aLongjas, A.
000075518 700__ $$aFoufoula-Georgiou, E.
000075518 700__ $$aGeorgiou, T.T.
000075518 700__ $$0(orcid)0000-0002-0895-1893$$aMoreno, Y.$$uUniversidad de Zaragoza
000075518 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica
000075518 773__ $$g8, 3 (2018), 031071 [18 pp]$$pPhysical review. X$$tPhysical review. X$$x2160-3308
000075518 8564_ $$s1432109$$uhttps://zaguan.unizar.es/record/75518/files/texto_completo.pdf$$yVersión publicada
000075518 8564_ $$s109977$$uhttps://zaguan.unizar.es/record/75518/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000075518 909CO $$ooai:zaguan.unizar.es:75518$$particulos$$pdriver
000075518 951__ $$a2020-01-17-22:02:24
000075518 980__ $$aARTICLE