Non-anomalous diffusion is not always Gaussian View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2014-05

AUTHORS

Giuseppe Forte, Fabio Cecconi, Angelo Vulpiani

ABSTRACT

Through the analysis of unbiased random walks on fractal trees and continuous time random walks, we show that even if a process is characterized by a mean square displacement (MSD) growing linearly with time (standard behaviour) its diffusion properties can be not trivial. In particular, we show that the following scenarios are consistent with a linear increase of MSD with time: (i) the high-order moments, ⟨x(t)q⟩ for q > 2 and the probability density of the process exhibit multiscaling; (ii) the random walk on certain fractal graphs, with non integer spectral dimension, can display a fully standard diffusion; (iii) positive order moments satisfying standard scaling does not imply an exact scaling property of the probability density. More... »

PAGES

102

References to SciGraph publications

  • 2000-12. Simple stochastic models showing strong anomalous diffusion in THE EUROPEAN PHYSICAL JOURNAL B
  • 2012-06. When Brownian diffusion is not Gaussian in NATURE MATERIALS
  • 1982-12. Random walks on the Bethe lattice in JOURNAL OF STATISTICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjb/e2014-40956-0

    DOI

    http://dx.doi.org/10.1140/epjb/e2014-40956-0

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1000978503


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