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Diffusion Dynamics on Multiplex Networks

We study the time scales associated with diffusion processes that take place on multiplex networks, i.e., on a set of networks linked through interconnected layers. To this end, we propose the construction of a supra-Laplacian matrix, which consists of a dimensional lifting of the Laplacian matrix of each layer of the multiplex network. We use perturbative analysis to reveal analytically the structure of eigenvectors and eigenvalues of the complete network in terms of the spectral properties of the individual layers. The spectrum of the supra-Laplacian allows us to understand the physics of diffusionlike processes on top of multiplex networks.

 

Diffusion Dynamics on Multiplex Networks

S. Gómez, A. Díaz-Guilera, J. Gómez-Gardeñes, C. J. Pérez-Vicente, Y. Moreno, and A. Arenas

Phys. Rev. Lett. 110, 028701 (2013) 

http://link.aps.org/doi/10.1103/PhysRevLett.110.028701

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Traffic Instabilities in Self-Organized Pedestrian Crowds

Traffic Instabilities in Self-Organized Pedestrian Crowds | Papers | Scoop.it

A crowd of pedestrians is a complex system that exhibits a rich variety of self-organized collective behaviours. For instance, when two flows of people are walking in opposite directions in a crowded street, pedestrians spontaneously share the available space by forming lanes of uniform walking directions. This “pedestrian highway” is a typical example of self-organized functional pattern, as it increases the traffic efficiency with no need of external control. In this work, we have conducted a series of laboratory experiments to determine the behavioral mechanisms underlying this pattern. In contrast to previous theoretical predictions, we found that the traffic organization actually alternates in time between well-organized and disorganized states. Our results demonstrate that this unstable dynamics is due to interactions between people walking faster and slower than the average speed of the crowd. While the traffic efficiency is maximized when everybody walks at the same speed, crowd heterogeneity reduces the collective benefits provided by the traffic segregation. This work is a step ahead in understanding the mechanisms of crowd self-organization, and opens the way for the elaboration of management strategies bound to promote smart collective behaviors.

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Dynamics of pedestrians in regions with no visibility - a lattice model without exclusion

We investigate the motion of pedestrians through obscure corridors where the
lack of visibility (due to smoke, fog, darkness, etc.) hides the precise
position of the exits. We focus our attention on a set of basic mechanisms,
which we assume to be governing the dynamics at the individual level. Using a
lattice model, we explore the effects of non-exclusion on the overall exit flux
(evacuation rate). More precisely, we study the effect of the buddying
threshold (of no-exclusion per site) on the dynamics of the crowd and
investigate to which extent our model confirms the following pattern revealed
by investigations on real emergencies: If the evacuees tend to cooperate and
act altruistically, then their collective action tends to favor the occurrence
of disasters.

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