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Résumé
Anomalous diffusion processes, in particular superdiffusive ones, are known to be efficient strategies for searching and navigation in animals and also in human mobility. One way to create such regimes are Lévy flights, where the walkers are allowed to perform jumps, the "flights," that can eventually be very long as their length distribution is asymptotically powerlaw distributed. In our work, we present a model in which walkers are allowed to perform, on a onedimensional lattice, "cascades" of n unitary steps instead of one jump of a randomly generated length, as in the Lévy case, where n is drawn from a cascade distribution pn. We show that this local mechanism may give rise to superdiffusion or normal diffusion when pn is distributed as a power law. We also introduce waiting times that are powerlaw distributed as well and therefore the probability distribution scaling is steered by the two local distributions powerlaw exponents. As a perspective, our approach may engender a possible generalization of anomalous diffusion in context where distances are difficult to define, as in the case of complex networks, and also provide an interesting model for diffusion in temporal networks.
langue originale  Anglais 

Numéro d'article  022113 
Nombre de pages  8 
journal  Physical Review E  Statistical, Nonlinear, and Soft Matter Physics 
Volume  95 
Numéro de publication  2 
Les DOIs  
Etat de la publication  Publié  13 févr. 2017 
Empreinte digitale Examiner les sujets de recherche de « Onset of anomalous diffusion from local motion rules ». Ensemble, ils forment une empreinte digitale unique.
Projets
 1 Terminé

PAI n°P7/19  DYSCO: Dynamical systems, control and optimization (DYSCO)
WINKIN, J., Blondel, V., Vandewalle, J., Pintelon, R., Sepulchre, R., Vande Wouwer, A. & SARTENAER, A.
1/04/12 → 30/09/17
Projet: Recherche